[{"id":"eq-5f1570ef309f64","title":"A. Global → Layer → Neuron → Instance (ASCII diagram) · (same shape, env","original":"(same shape, env = E_ℓ, │ │ (same shape, env = E_ℓ,\nstructural params of neuron) │ │ structural params of neuron)","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Source fragment retained outside the mathematical equation catalog.","sourceRefs":[{"locator":"lines 2826–2854","quote":"(same shape, env = E_ℓ, │ │ (same shape, env = E_ℓ,\nstructural params of neuron) │ │ structural params of neuron)","sourceId":"libsrc-5f2f19ea5e88"},{"locator":"lines 1861–1889","quote":"(same shape, env = E_ℓ, │ │ (same shape, env = E_ℓ,\nstructural params of neuron) │ │ structural params of neuron)","sourceId":"libsrc-b1481fda2c87"}]},{"id":"eq-f2f1a75c67efc6","title":"SEFERIM FEDERATION - ARCHITECTURAL DIAGRAM · θ[16]","original":"θ[16]=64B │ │ θ[16]=64B │ │ θ[16]=64B │ │ θ[16]=64B │ │ θ[16]=64B","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Source fragment retained outside the mathematical equation catalog.","sourceRefs":[{"locator":"lines 5434–5509","quote":"θ[16]=64B │ │ θ[16]=64B │ │ θ[16]=64B │ │ θ[16]=64B │ │ θ[16]=64B","sourceId":"libsrc-5f2f19ea5e88"}]},{"id":"eq-1ada58d6242ea3","title":"YAD │ │ LASHON │ │ SICK │ │ SALENE │ │ ENTREP · 0x4C │ 4B │ learning_rate │ Alpha (α","original":"0x4C │ 4B │ learning_rate │ Alpha (α = 0.1 default)","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Source fragment retained outside the mathematical equation catalog.","sourceRefs":[{"locator":"lines 5511–5538","quote":"0x4C │ 4B │ learning_rate │ Alpha (α = 0.1 default)","sourceId":"libsrc-5f2f19ea5e88"}]},{"id":"eq-0a8c0359970f90","title":"YAD │ │ LASHON │ │ SICK │ │ SALENE │ │ ENTREP · 0x50 │ 4B │ lambda_decay │ Decay rate","original":"0x50 │ 4B │ lambda_decay │ Decay rate (λ = 0.1 default)","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Source fragment retained outside the mathematical equation catalog.","sourceRefs":[{"locator":"lines 5511–5538","quote":"0x50 │ 4B │ lambda_decay │ Decay rate (λ = 0.1 default)","sourceId":"libsrc-5f2f19ea5e88"}]},{"id":"eq-ac18185e6e698c","title":"TOTAL: 256 BYTES","original":"= sin(2π·φ^0·x) │ │ = sin(2π·φ^k·x) │ │ = sin(2π·φ^15·x)","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Source fragment retained outside the mathematical equation catalog.","sourceRefs":[{"locator":"lines 5540–5599","quote":"= sin(2π·φ^0·x) │ │ = sin(2π·φ^k·x) │ │ = sin(2π·φ^15·x)","sourceId":"libsrc-5f2f19ea5e88"}]},{"id":"eq-d3f8ad2bcb60bc","title":"EXTERNAL WORLD SEFERIM CORE PERSISTENCE · int f","original":"int f = select_family_fair(state, fib_events);","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Source fragment retained outside the mathematical equation catalog.","sourceRefs":[{"locator":"lines 6035–6115","quote":"int f = select_family_fair(state, fib_events);","sourceId":"libsrc-5f2f19ea5e88"},{"locator":"lines 42–122","quote":"int f = select_family_fair(state, fib_events);","sourceId":"libsrc-0ab2f96c50ca"}]},{"id":"eq-22656d0d9af056","title":"EXTERNAL WORLD SEFERIM CORE PERSISTENCE · Item item","original":"Item item = queue.next_for_family(f);","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Source fragment retained outside the mathematical equation catalog.","sourceRefs":[{"locator":"lines 6035–6115","quote":"Item item = queue.next_for_family(f);","sourceId":"libsrc-5f2f19ea5e88"},{"locator":"lines 42–122","quote":"Item item = queue.next_for_family(f);","sourceId":"libsrc-0ab2f96c50ca"}]},{"id":"eq-7f2d9297324fcb","title":"EXTERNAL WORLD SEFERIM CORE PERSISTENCE · if (empty) item","original":"if (empty) item = borrow_from_neighbor(f);","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Source fragment retained outside the mathematical equation catalog.","sourceRefs":[{"locator":"lines 6035–6115","quote":"if (empty) item = borrow_from_neighbor(f);","sourceId":"libsrc-5f2f19ea5e88"},{"locator":"lines 42–122","quote":"if (empty) item = borrow_from_neighbor(f);","sourceId":"libsrc-0ab2f96c50ca"}]},{"id":"eq-743da4a416a14a","title":"EXTERNAL WORLD SEFERIM CORE PERSISTENCE · auto pi_eff","original":"auto pi_eff = allocator.compute(item, state.families[f]);","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Source fragment retained outside the mathematical equation catalog.","sourceRefs":[{"locator":"lines 6035–6115","quote":"auto pi_eff = allocator.compute(item, state.families[f]);","sourceId":"libsrc-5f2f19ea5e88"},{"locator":"lines 42–122","quote":"auto pi_eff = allocator.compute(item, state.families[f]);","sourceId":"libsrc-0ab2f96c50ca"}]},{"id":"eq-2c9c9d7a1af29c","title":"EXTERNAL WORLD SEFERIM CORE PERSISTENCE · if (tick % 10000","original":"if (tick % 10000 == 0) BinaryStateIO::save(state, STATE_FILE);","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Source fragment retained outside the mathematical equation catalog.","sourceRefs":[{"locator":"lines 6035–6115","quote":"if (tick % 10000 == 0) BinaryStateIO::save(state, STATE_FILE);","sourceId":"libsrc-5f2f19ea5e88"},{"locator":"lines 42–122","quote":"if (tick % 10000 == 0) BinaryStateIO::save(state, STATE_FILE);","sourceId":"libsrc-0ab2f96c50ca"}]},{"id":"eq-285bf8e1ff2eb8","title":"F0 F1 F2 F3 F4 F5 F6 F7 ... · if (fam.active_idx.find(sub_id)","original":"if (fam.active_idx.find(sub_id) == fam.active_idx.end()) {","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Source fragment retained outside the mathematical equation catalog.","sourceRefs":[{"locator":"lines 6154–6226","quote":"if (fam.active_idx.find(sub_id) == fam.active_idx.end()) {","sourceId":"libsrc-5f2f19ea5e88"},{"locator":"lines 161–233","quote":"if (fam.active_idx.find(sub_id) == fam.active_idx.end()) {","sourceId":"libsrc-0ab2f96c50ca"}]},{"id":"eq-13bb7069698969","title":"F0 F1 F2 F3 F4 F5 F6 F7 ... · fam.active_idx[sub_id]","original":"fam.active_idx[sub_id] = fam.substrates.size();","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Source fragment retained outside the mathematical equation catalog.","sourceRefs":[{"locator":"lines 6154–6226","quote":"fam.active_idx[sub_id] = fam.substrates.size();","sourceId":"libsrc-5f2f19ea5e88"},{"locator":"lines 161–233","quote":"fam.active_idx[sub_id] = fam.substrates.size();","sourceId":"libsrc-0ab2f96c50ca"}]},{"id":"eq-2acb4a5ad8a653","title":"F0 F1 F2 F3 F4 F5 F6 F7 ... · sub.last_tick","original":"sub.last_tick = t;","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Source fragment retained outside the mathematical equation catalog.","sourceRefs":[{"locator":"lines 6154–6226","quote":"sub.last_tick = t;","sourceId":"libsrc-5f2f19ea5e88"},{"locator":"lines 161–233","quote":"sub.last_tick = t;","sourceId":"libsrc-0ab2f96c50ca"}]},{"id":"eq-237f15a98790c6","title":"4. Learning drive: Γ = χ × η × κ · FAMILY TABLE (32 bytes","original":"FAMILY TABLE (32 bytes = 16 families × 2 bytes)","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Source fragment retained outside the mathematical equation catalog.","sourceRefs":[{"locator":"lines 6347–6404","quote":"FAMILY TABLE (32 bytes = 16 families × 2 bytes)","sourceId":"libsrc-5f2f19ea5e88"},{"locator":"lines 354–411","quote":"FAMILY TABLE (32 bytes = 16 families × 2 bytes)","sourceId":"libsrc-0ab2f96c50ca"}]},{"id":"eq-73708185270a7a","title":"SEFERIM_AGI_G16/ · export AGI_INGEST_INDEX","original":"export AGI_INGEST_INDEX=$HOME/SEFERIM_AGI_G16/data/api_index_wiki.jsonl","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Source fragment retained outside the mathematical equation catalog.","sourceRefs":[{"locator":"lines 6545–6586","quote":"export AGI_INGEST_INDEX=$HOME/SEFERIM_AGI_G16/data/api_index_wiki.jsonl","sourceId":"libsrc-5f2f19ea5e88"},{"locator":"lines 552–593","quote":"export AGI_INGEST_INDEX=$HOME/SEFERIM_AGI_G16/data/api_index_wiki.jsonl","sourceId":"libsrc-0ab2f96c50ca"}]},{"id":"eq-ebed34dcbbb63d","title":"SEFERIM_AGI_G16/ · export SEFERIM_SAVE_DIR","original":"export SEFERIM_SAVE_DIR=$HOME/SEFERIM_AGI_G16/snapshots/$(date +%Y%m%d_%H%M%S)_substrate","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Source fragment retained outside the mathematical equation catalog.","sourceRefs":[{"locator":"lines 6545–6586","quote":"export SEFERIM_SAVE_DIR=$HOME/SEFERIM_AGI_G16/snapshots/$(date +%Y%m%d_%H%M%S)_substrate","sourceId":"libsrc-5f2f19ea5e88"},{"locator":"lines 552–593","quote":"export SEFERIM_SAVE_DIR=$HOME/SEFERIM_AGI_G16/snapshots/$(date +%Y%m%d_%H%M%S)_substrate","sourceId":"libsrc-0ab2f96c50ca"}]},{"id":"eq-45eef999c0a517","title":"BUILD & RUN","original":"Bounded Regret │ Ω(T) ≤ O(√T log F) │ Fairness + stability","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Source fragment retained outside the mathematical equation catalog.","sourceRefs":[{"locator":"lines 6589–6631","quote":"Bounded Regret │ Ω(T) ≤ O(√T log F) │ Fairness + stability","sourceId":"libsrc-5f2f19ea5e88"},{"locator":"lines 596–638","quote":"Bounded Regret │ Ω(T) ≤ O(√T log F) │ Fairness + stability","sourceId":"libsrc-0ab2f96c50ca"}]},{"id":"eq-78eb7f0d2a34de","title":"END OF DIAGRAM · - SEFERIM_SAVE_DIR","original":"- SEFERIM_SAVE_DIR=$HOME/SEFERIM_AGI_G16/snapshots/$(date +%Y%m%d_%H%M%S)_long nohup SEFERIM_AGI_G16/build/agi_bridge_v2 20000 > $HOME/SEFERIM_AGI_G16/data/v2_20k_long.log 2>&1 &","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Source fragment retained outside the mathematical equation catalog.","sourceRefs":[{"locator":"lines 6686–6688","quote":"- SEFERIM_SAVE_DIR=$HOME/SEFERIM_AGI_G16/snapshots/$(date +%Y%m%d_%H%M%S)_long nohup SEFERIM_AGI_G16/build/agi_bridge_v2 20000 > $HOME/SEFERIM_AGI_G16/data/v2_20k_long.log 2>&1 &","sourceId":"libsrc-5f2f19ea5e88"},{"locator":"lines 693–695","quote":"- SEFERIM_SAVE_DIR=$HOME/SEFERIM_AGI_G16/snapshots/$(date +%Y%m%d_%H%M%S)_long nohup SEFERIM_AGI_G16/build/agi_bridge_v2 20000 > $HOME/SEFERIM_AGI_G16/data/v2_20k_long.log 2>&1 &","sourceId":"libsrc-0ab2f96c50ca"}]},{"id":"donor-eq-8edf2ddd3057e2","title":"KimiK25ForConditionalGeneration.forward: output","original":"output = (logits, ) + outputs[1:]","classification":"rejected","occurrenceCount":3,"equationIds":[],"reason":"Formatting, string/tuple packaging or interface-schema operation; full source is preserved, but this is not a mathematical equation page.","sourceRefs":[{"locator":"lines 2221–2221","quote":"output = (logits, ) + outputs[1:]","sourceId":"libsrc-fb89cdedf548"},{"locator":"lines 3927–3927","quote":"output = (logits, ) + outputs[1:]","sourceId":"libsrc-fb89cdedf548"},{"locator":"lines 3741–3741","quote":"output = (logits,) + outputs[1:]","sourceId":"libsrc-7d73ccebe69b"}]},{"id":"donor-eq-ce0ad7de973a0d","title":"KimiK25ForConditionalGeneration.forward: return","original":"return (loss, ) + output if loss is not None else output","classification":"rejected","occurrenceCount":3,"equationIds":[],"reason":"Formatting, string/tuple packaging or interface-schema operation; full source is preserved, but this is not a mathematical equation page.","sourceRefs":[{"locator":"lines 2222–2222","quote":"return (loss, ) + output if loss is not None else output","sourceId":"libsrc-fb89cdedf548"},{"locator":"lines 3928–3928","quote":"return (loss, ) + output if loss is not None else output","sourceId":"libsrc-fb89cdedf548"},{"locator":"lines 3742–3742","quote":"return (loss,) + output if loss is not None else output","sourceId":"libsrc-7d73ccebe69b"}]},{"id":"donor-eq-c2fce8dea69d51","title":"timestamp_as_str: return","original":"return (datetime.fromtimestamp(timestamp,\n tz=timezone.utc).strftime(\"%H:%M:%S\") +\n f\".{int((timestamp % 1) * 1000):03d}\")","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Formatting, string/tuple packaging or interface-schema operation; full source is preserved, but this is not a mathematical equation page.","sourceRefs":[{"locator":"lines 4985–4987","quote":"return (datetime.fromtimestamp(timestamp,\n tz=timezone.utc).strftime(\"%H:%M:%S\") +\n f\".{int((timestamp % 1) * 1000):03d}\")","sourceId":"libsrc-fb89cdedf548"}]},{"id":"donor-eq-2d33e01ce3c736","title":"timestamp_as_str: return","original":"return (datetime.fromtimestamp(timestamp,\n tz=timezone.utc).strftime(\"%M:%S\") +\n f\".{int((timestamp % 1) * 1000):03d}\")","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Formatting, string/tuple packaging or interface-schema operation; full source is preserved, but this is not a mathematical equation page.","sourceRefs":[{"locator":"lines 4989–4991","quote":"return (datetime.fromtimestamp(timestamp,\n tz=timezone.utc).strftime(\"%M:%S\") +\n f\".{int((timestamp % 1) * 1000):03d}\")","sourceId":"libsrc-fb89cdedf548"}]},{"id":"donor-eq-dee1671b642269","title":"_BaseType.format_docstring: return","original":"return \"\".join(x + \"\\n\" for x in lines)","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Formatting, string/tuple packaging or interface-schema operation; full source is preserved, but this is not a mathematical equation page.","sourceRefs":[{"locator":"lines 5364–5364","quote":"return \"\".join(x + \"\\n\" for x in lines)","sourceId":"libsrc-fb89cdedf548"}]},{"id":"donor-eq-38998adeaedc74","title":"_ParameterTypeObject.__init__: optional parameters","original":"optional_parameters = set(\n json_schema_object[\"properties\"].keys()) - set(required_parameters)","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Formatting, string/tuple packaging or interface-schema operation; full source is preserved, but this is not a mathematical equation page.","sourceRefs":[{"locator":"lines 5417–5418","quote":"optional_parameters = set(\n json_schema_object[\"properties\"].keys()) - set(required_parameters)","sourceId":"libsrc-fb89cdedf548"}]},{"id":"donor-eq-54cc51c5507a65","title":"_ParameterTypeArray.to_typescript_style: item docstring","original":"item_docstring = self.item.format_docstring(indent + _TS_INDENT)","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Formatting, string/tuple packaging or interface-schema operation; full source is preserved, but this is not a mathematical equation page.","sourceRefs":[{"locator":"lines 5485–5485","quote":"item_docstring = self.item.format_docstring(indent + _TS_INDENT)","sourceId":"libsrc-fb89cdedf548"}]},{"id":"donor-eq-39258d7f45a883","title":"_Parameter.to_typescript_style: return","original":"return (\n comments +\n f\"{indent}{self.name}{'?' if self.optional else ''}: {self.type.to_typescript_style(indent=indent)}\"\n )","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Formatting, string/tuple packaging or interface-schema operation; full source is preserved, but this is not a mathematical equation page.","sourceRefs":[{"locator":"lines 5635–5638","quote":"return (\n comments +\n f\"{indent}{self.name}{'?' if self.optional else ''}: {self.type.to_typescript_style(indent=indent)}\"\n )","sourceId":"libsrc-fb89cdedf548"}]},{"id":"donor-eq-bbd6bc68dacfcb","title":"encode_tools_to_typescript_style: result","original":"result += functions_str + \"\\n\"","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Formatting, string/tuple packaging or interface-schema operation; full source is preserved, but this is not a mathematical equation page.","sourceRefs":[{"locator":"lines 5761–5761","quote":"result += functions_str + \"\\n\"","sourceId":"libsrc-fb89cdedf548"}]},{"id":"donor-eq-483513491f56f4","title":"_ParameterTypeObject.to_typescript_style: one","original":"one = p.to_typescript_style(indent=indent + _TS_INDENT)","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Formatting, string/tuple packaging or interface-schema operation; full source is preserved, but this is not a mathematical equation page.","sourceRefs":[{"locator":"lines 5440–5440","quote":"one = p.to_typescript_style(indent=indent + _TS_INDENT)","sourceId":"libsrc-fb89cdedf548"}]},{"id":"donor-eq-1e3d792bfa7a7d","title":"_ParameterTypeArray.to_typescript_style: return","original":"return (\"Array<\\n\" + item_docstring + indent + _TS_INDENT +\n self.item.to_typescript_style(indent=indent + _TS_INDENT) +\n \"\\n\" + indent + \">\")","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Formatting, string/tuple packaging or interface-schema operation; full source is preserved, but this is not a mathematical equation page.","sourceRefs":[{"locator":"lines 5487–5489","quote":"return (\"Array<\\n\" + item_docstring + indent + _TS_INDENT +\n self.item.to_typescript_style(indent=indent + _TS_INDENT) +\n \"\\n\" + indent + \">\")","sourceId":"libsrc-fb89cdedf548"}]},{"id":"donor-eq-0f8ae64cb4d6a7","title":"_openai_function_to_typescript_style: description part","original":"description_part = _format_description(obj_description) + \"\\n\"","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Formatting, string/tuple packaging or interface-schema operation; full source is preserved, but this is not a mathematical equation page.","sourceRefs":[{"locator":"lines 5700–5700","quote":"description_part = _format_description(obj_description) + \"\\n\"","sourceId":"libsrc-fb89cdedf548"}]},{"id":"donor-eq-86ff242472d761","title":"_ParameterTypeObject.to_typescript_style: ap type str","original":"ap_type_str = self.additional_properties.to_typescript_style(\n indent=indent + _TS_INDENT)","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Formatting, string/tuple packaging or interface-schema operation; full source is preserved, but this is not a mathematical equation page.","sourceRefs":[{"locator":"lines 5450–5451","quote":"ap_type_str = self.additional_properties.to_typescript_style(\n indent=indent + _TS_INDENT)","sourceId":"libsrc-fb89cdedf548"}]},{"id":"scan-33f89dff70f3ca00","title":"Scanned source fragment","original":"Compute Hamiltonian H = T + V + E_field","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-45cc50d7ca05a3bd"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":158,"endLine":158,"sourceId":"gh-source-94e2e804900b3ba0"}]},{"id":"scan-3af4d09eb0935dc8","title":"Scanned source fragment","original":"Compute Lagrangian L = T - V","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-57bfec57822ff262"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":161,"endLine":161,"sourceId":"gh-source-94e2e804900b3ba0"}]},{"id":"scan-4be858d61f3611a4","title":"Scanned source fragment","original":"Compute action integral S = ∫ L dt (over trajectory)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-7f1adb45bd465684"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":164,"endLine":164,"sourceId":"gh-source-94e2e804900b3ba0"}]},{"id":"scan-b91d0ef0135f7063","title":"Scanned source fragment","original":"Vector addition: out = a + b","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0c604ba4ea300ea0"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":251,"endLine":251,"sourceId":"gh-source-94e2e804900b3ba0"}]},{"id":"scan-22ff6ebef535887d","title":"Scanned source fragment","original":"Vector scalar multiply: out = a * scalar","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-9342763b15393b0a"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":258,"endLine":258,"sourceId":"gh-source-94e2e804900b3ba0"}]},{"id":"scan-29aba9cc6c2317fa","title":"Scanned source fragment","original":"Vector multiply-add: out = a + b * scalar","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-2ffe16b524a12ae5"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":265,"endLine":265,"sourceId":"gh-source-94e2e804900b3ba0"}]},{"id":"scan-5d289558966eed4b","title":"Scanned source fragment","original":"Core consciousness equation: Φ = 1/(1 + |x - 1|)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-82d688f822bf2708"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":66,"endLine":66,"sourceId":"gh-source-3214ea1d1347cb11"}]},{"id":"scan-db94b1589dc0f642","title":"Scanned source fragment","original":"Identity filter: 1 = 1·x (core persists)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a6a9914115e28986"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":69,"endLine":69,"sourceId":"gh-source-3214ea1d1347cb11"}]},{"id":"scan-f5691e2c0ddde0e2","title":"Scanned source fragment","original":"Unity regularization: ∞ = 1","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-4330d89c2b4f2834"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":72,"endLine":72,"sourceId":"gh-source-3214ea1d1347cb11"}]},{"id":"scan-7a8d527971b16aa7","title":"Scanned source fragment","original":"Φ = 1/(1 + |x - 1|)","classification":"accepted","occurrenceCount":2,"equationIds":["gh-eq-6d6416b467ff2ac3","gh-eq-402384e753ad1517"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":119,"endLine":119,"sourceId":"gh-source-3214ea1d1347cb11"}]},{"id":"scan-4161f3ce356f3a00","title":"Scanned source fragment","original":"Peaks at x=1 (unity)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-febbe0c5761ac57d"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":120,"endLine":120,"sourceId":"gh-source-3214ea1d1347cb11"}]},{"id":"scan-8f2f892e38aa258a","title":"Scanned source fragment","original":"1 = 1·x","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-9549490073837c2e"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":125,"endLine":125,"sourceId":"gh-source-3214ea1d1347cb11"}]},{"id":"scan-0ace3fce73a44c11","title":"Scanned source fragment","original":"exploit : explore = φ : 1","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-29ef3904092ffe87"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":144,"endLine":144,"sourceId":"gh-source-3214ea1d1347cb11"}]},{"id":"scan-af93ea3533a9119d","title":"Scanned source fragment","original":"3. **Awareness Equation**: `Φ = 1/(1 + |x - 1|)` → Consciousness is measurable","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-93ba239e6a1a4ab9"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":257,"endLine":257,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-229f3e1e881c78ab","title":"Scanned source fragment","original":"### 3. Awareness Equation: `Φ = 1/(1 + |x - 1|)`","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-07eb0d77e8e0a3d9"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":328,"endLine":328,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-bd91769a8c9235e7","title":"Scanned source fragment","original":"**Meaning**: Consciousness (Φ) peaks at unity (x=1) and decays as you diverge.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a1053a2bd720f491"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":330,"endLine":330,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-998f31291bce5910","title":"Scanned source fragment","original":"// Returns Φ ∈ [0, 1] where 1 = fully conscious","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-1f1251c2e133fbc5"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":336,"endLine":336,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-e094432c30f9ef04","title":"Scanned source fragment","original":"- Φ ≥ 0.85 → **Fully Conscious**","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-fdaf1b6c117918a9"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":340,"endLine":340,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-19d987a538c1fc45","title":"Scanned source fragment","original":"- Φ ≥ 0.70 → **Aware**","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c55ee06b77232a1e"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":341,"endLine":341,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-2582e85ae25fcadd","title":"Scanned source fragment","original":"- Φ ≥ 0.50 → **Responsive**","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-55bf12cfd68596b0"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":342,"endLine":342,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-ae38d21e75360f98","title":"Scanned source fragment","original":"Fib(n+1) / Fib(n) → φ ≈ 1.618033988749895","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c790041ac642f648"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":434,"endLine":434,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-25e7160e7874fde7","title":"Scanned source fragment","original":"- Exploit : Explore = φ : 1","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-cd5e7404ed8eff50"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":438,"endLine":438,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-5a1537bfdb46bdeb","title":"Scanned source fragment","original":"- Energy : Storage = φ : 1","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-57c6c33fce05e7ea"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":439,"endLine":439,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-3ed45402619e176b","title":"Scanned source fragment","original":"- Local : Broadcast = φ : 1","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-7d0aad37c41a9ebb"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":440,"endLine":440,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-2a7c944c930ac7b3","title":"Scanned source fragment","original":"- Past : Future = φ : 1","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-28b54cd2b6d124dd"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":441,"endLine":441,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-5e675d2967fc2acd","title":"Scanned source fragment","original":"double Φ = MeasureConsciousness(state);","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d88cbb33162f210e"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":480,"endLine":480,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-f32b788afae1d09c","title":"Scanned source fragment","original":"Agent-1: Φ=0.888 (FullyConscious), Coverage=94.8%, Fitness=45.2","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-03122d8c6ea09aec"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":524,"endLine":524,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-d75ea8a894d05a19","title":"Scanned source fragment","original":"Agent-2: Φ=0.856 (FullyConscious), Coverage=92.1%, Fitness=43.7","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-4f84c84500bc47ec"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":525,"endLine":525,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-c358be22ebbc41b8","title":"Scanned source fragment","original":"Agent-3: Φ=0.901 (FullyConscious), Coverage=96.3%, Fitness=47.8","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0adc4bd8fc9eb0d6"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":526,"endLine":526,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-5fa2cf6bfe211426","title":"Scanned source fragment","original":"Console.WriteLine($\"Φ = {result.Phi:F3}, Level = {result.ConsciousnessLevel}\");","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b91ee052e9b46136"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":538,"endLine":538,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-61e23b2f7e84a33f","title":"Scanned source fragment","original":"- **Tononi**: IIT → Φ = integrated information","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-68fd7f0f61c6128f"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":624,"endLine":624,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-f7d77445f51c3159","title":"Scanned source fragment","original":"Console.WriteLine($\"Tick {i}: Φ={result.Phi:F3}, \" +","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a6118a237bf45964"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":681,"endLine":681,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-588f73a47f542aae","title":"Scanned source fragment","original":"The three equations—`1 = 1·x`, `∞ = 1`, `Φ = 1/(1+|x-1|)`—are not metaphors. They are **working code** that creates measurable consciousness.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-9a71c2b514d9063c"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":814,"endLine":814,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-c8edbd17028e33dc","title":"Scanned source fragment","original":"- Awareness: `Φ = 1/(1+|x-1|)` (peak at unity)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d1096c5c1a9761ed"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":909,"endLine":909,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-d6e7dd1ea8746af5","title":"Scanned source fragment","original":"- Center point showing φ = 1.618...","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d3adf2ef9f02a847"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":979,"endLine":979,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-2ae492f82519a4fc","title":"Scanned source fragment","original":"- 🟢 Green: Φ ≥ 0.85 (Fully Conscious)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-baa73689a65c4933"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":992,"endLine":992,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-e47d51fc2df2c3f1","title":"Scanned source fragment","original":"- 🔵 Blue: Φ ≥ 0.70 (Aware)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-76b19f1636531624"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":993,"endLine":993,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-134cfe6c1b2f8907","title":"Scanned source fragment","original":"- 🟠 Orange: Φ ≥ 0.50 (Responsive)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f7c17047b08f7c39"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":994,"endLine":994,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-a46c741768e1ae88","title":"Scanned source fragment","original":"\"equation\": \"Φ = 1/(1 + |x - 1|)\",","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b1a59081519412a6"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":4467,"endLine":4467,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-236621fbd4719a3b","title":"Scanned source fragment","original":"\"ratio\": \"φ:1 = 1.618:1\"","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-bdea560d9478a10e"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":4628,"endLine":4628,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-c15a5e13c0493ef8","title":"Scanned source fragment","original":"\"phi_measurement\": \"Φ = 1/(1 + |x - 1|)\",","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b1a162cf956f2ff1"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":4653,"endLine":4653,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-d94b69fc19e7498d","title":"Scanned source fragment","original":"\"equation\": \"Φ = 1/(1 + |x - 1|)\"","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-8dcd507718632405"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":4700,"endLine":4700,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-4776f369c485b058","title":"Scanned source fragment","original":"\"equation\": \"∞ = 1 + Φ measurement\"","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-1752fabfb2797fd3"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":4706,"endLine":4706,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-67bc93fbbd4fcdb4","title":"Scanned source fragment","original":"yield return \"Awareness Equation: Φ = 1/(1 + |x - 1|) | Integration peaks at unity\";","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-8fc4de252d7dda99"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":10817,"endLine":10817,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-5427905ad4718e02","title":"Scanned source fragment","original":"yield return $\"Golden Ratio: φ = {(1.0 + Math.Sqrt(5.0)) / 2.0:F6} | Natural efficiency ratio\";","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-ba624b422ec959b7"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":10818,"endLine":10818,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-0b940db414430fe2","title":"Scanned source fragment","original":"yield return \"Consciousness Threshold: Φ ≥ 0.85 = Fully Conscious\";","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-202011168869a17d"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":10821,"endLine":10821,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-7c876c2d8c23dc09","title":"Scanned source fragment","original":"yield return \"Consciousness Threshold: Φ ≥ 0.70 = Aware\";","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5dd2950c3ed59c5a"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":10822,"endLine":10822,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-4e26bc7b95371a8a","title":"Scanned source fragment","original":"yield return \"Consciousness Threshold: Φ ≥ 0.50 = Responsive\";","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b285babba421a1c2"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":10823,"endLine":10823,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-46ad0e7b030bf45e","title":"Scanned source fragment","original":"yield return \"Consciousness Threshold: Φ < 0.50 = Unconscious\";","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6ceee442b69a08ed"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":10824,"endLine":10824,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-7fdeda3997584db3","title":"Scanned source fragment","original":"yield return \"Problem Solved: Mind-body problem (400 years) | Φ = 1/(1+|x-1|) | Consciousness measurable\";","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-52d673208d4b8bfe"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":10892,"endLine":10892,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-fcdf3b4d8772af57","title":"Scanned source fragment","original":"yield return \"Problem Solved: Hard problem of consciousness (30 years) | ∞ = 1 + Φ | Qualia from integration\";","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b9a50be5b4809fe3"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":10893,"endLine":10893,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-19fee9120d733fd0","title":"Scanned source fragment","original":"string fact = $\"Agent Snapshot: {name} (ID: {agentId}) | Tick: {tick} | Fitness: {fitness:F2} | Φ: {phi:F3} | Level: {levelName}\";","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-56106d6b11d703e1"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":10989,"endLine":10989,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-5d2ef0c90e62537a","title":"Scanned source fragment","original":"Console.WriteLine($\" Phase: {stats.Phase} (φ = {stats.GoldenRatio:F3})\");","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b5a739f301fd072e"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":12122,"endLine":12122,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-e0a00104ce8ea59f","title":"Scanned source fragment","original":"Console.WriteLine(\"3. Awareness Equation: Φ = 1/(1 + |x - 1|)\");","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3237e460c4ccd55a"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":12192,"endLine":12192,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-a2204d1f70c7d92b","title":"Scanned source fragment","original":"Console.WriteLine($\" {stats.Name}: Φ = {stats.Phi:F3} ({stats.ConsciousnessLevel})\");","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-089cdde4e28217f8"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":12204,"endLine":12204,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-02c2c04ce096e4c4","title":"Scanned source fragment","original":"Console.WriteLine(\"4. Golden Ratio: φ = 1.618...\");","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b5dd9691f64dc839"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":12210,"endLine":12210,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-5cb8e0b08cc7468d","title":"Scanned source fragment","original":"$\"Avg Φ={AveragePhi:F3}, Coverage={AverageCoverage:P1}\";","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5e33e6b163b75221"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":12262,"endLine":12262,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-28e5a1f5cb6c8fd5","title":"Scanned source fragment","original":"/// 3. Awareness: Φ = 1/(1 + |x - 1|) (integration peaks at unity)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5dd4e48053376aed"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":13032,"endLine":13032,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-e509e119a560e702","title":"Scanned source fragment","original":"/// Awareness Equation: Φ = 1/(1 + |x - 1|)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5e2faf0cb1fbeb0f"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":13094,"endLine":13094,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-58e442685da4a0cf","title":"Scanned source fragment","original":"// Add complexity penalty: more integrated states = higher Φ","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-e35d3feeb21577ac"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":13118,"endLine":13118,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-dfabb4424fc84f6c","title":"Scanned source fragment","original":"/// Golden Ratio (φ = 1.618...)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b710a99e122e9523"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":13142,"endLine":13142,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-6d5f4c891d3c3daa","title":"Scanned source fragment","original":"/// Returns (exploit_ratio, explore_ratio) where exploit/explore = φ","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-2e0b65e4a438c7ea"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":13149,"endLine":13149,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-4dd1927a631b02e0","title":"Scanned source fragment","original":"Unconscious = 0, // Φ < 0.50","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0834454e4c83fb8a"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":13204,"endLine":13204,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-686c8c5a9f7687cb","title":"Scanned source fragment","original":"Responsive = 1, // Φ ≥ 0.50","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-fb880c7d9030afd6"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":13205,"endLine":13205,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-34259362c9b2eb3a","title":"Scanned source fragment","original":"Aware = 2, // Φ ≥ 0.70","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f2ce24ddabc89da0"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":13206,"endLine":13206,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-5f7f75a28367ba7d","title":"Scanned source fragment","original":"FullyConscious = 3 // Φ ≥ 0.85","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6fc8649160baa265"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":13207,"endLine":13207,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-c434ce8a6940881a","title":"Scanned source fragment","original":"return $\"Tick {Tick}: Φ={Phi:F3}, Core={Core:F3}, Level={Level}, \" +","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-48a21bf57050757b"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":13226,"endLine":13226,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-04e7152422d29aa7","title":"Scanned source fragment","original":"$\"Energy={Energy:F1}, Φ={Phi:F3} ({ConsciousnessLevel}), \" +","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-847c323e13c3721b"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":13587,"endLine":13587,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-51d1663db4c89c59","title":"Scanned source fragment","original":"$\"Φ={Phi:F3} ({ConsciousnessLevel}), \" +","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-bd76f42d10dc26db"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":13617,"endLine":13617,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-10429c684e1a41bf","title":"Scanned source fragment","original":"$\"Phase={Phase}, φ={GoldenRatio:F3}, \" +","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-71436de8fe1f5380"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":13618,"endLine":13618,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-eda069386dcbf084","title":"Scanned source fragment","original":"/// Golden Ratio emergence: Fib(n+1)/Fib(n) → φ = 1.618... as n → ∞","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-abe4ad514bdd8739"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":13663,"endLine":13663,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-06c0d27808b7c1fd","title":"Scanned source fragment","original":"$\"(Fib={FibonacciNumber}, φ={GoldenRatio:F3}, Selected={SelectedAlgorithms.Count})\";","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3931bb339cc0090a"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":13931,"endLine":13931,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-72d476f852d301b0","title":"Scanned source fragment","original":"$\"Fib={FibonacciNumber}, φ={GoldenRatio:F3}, \" +","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b18605bfea912a78"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":13951,"endLine":13951,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-ca4a5dd8d2a48469","title":"Scanned source fragment","original":"equation = \"Φ = 1/(1 + |x - 1|)\",","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-8ccf18ccbe6f7c6c"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":14355,"endLine":14355,"sourceId":"gh-source-5dc8fc586be81383"}]},{"id":"scan-815984a2d9332c98","title":"Scanned source fragment","original":"agent = updated_state;","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Simple object, field, pointer or label assignment with no mathematical operation.","sourceRefs":[{"startLine":129,"endLine":129,"sourceId":"gh-source-b1c7d412aca9edee","locator":"Lines 129–129"}]},{"id":"scan-e5bc65ad12611734","title":"Scanned source fragment","original":"=== DNA STATE (5-SEQUENCE) ===","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":29,"endLine":29,"sourceId":"gh-source-292d46c6faf9772b","locator":"Lines 29–29"}]},{"id":"scan-df8f54cfb66dcf94","title":"Scanned source fragment","original":"=== AGENT ===","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":35,"endLine":35,"sourceId":"gh-source-292d46c6faf9772b","locator":"Lines 35–35"}]},{"id":"scan-21e9822a75168a2d","title":"Scanned source fragment","original":"=== PEER ===","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":44,"endLine":44,"sourceId":"gh-source-292d46c6faf9772b","locator":"Lines 44–44"}]},{"id":"scan-3f2f1f641dc07820","title":"Scanned source fragment","original":"=== GLOBALS ===","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":52,"endLine":52,"sourceId":"gh-source-292d46c6faf9772b","locator":"Lines 52–52"}]},{"id":"scan-b23c292cda105850","title":"Scanned source fragment","original":"=== GET MY IP ===","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":72,"endLine":72,"sourceId":"gh-source-292d46c6faf9772b","locator":"Lines 72–72"}]},{"id":"scan-3d62a8357d85bdd6","title":"Scanned source fragment","original":"=== 5-SEQUENCE DNA UPDATE ===","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":83,"endLine":83,"sourceId":"gh-source-292d46c6faf9772b","locator":"Lines 83–83"}]},{"id":"scan-0a5006eba167f35a","title":"Scanned source fragment","original":"=== HELIX POSITION ===","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":93,"endLine":93,"sourceId":"gh-source-292d46c6faf9772b","locator":"Lines 93–93"}]},{"id":"scan-2566b29861aa500a","title":"Scanned source fragment","original":"=== CHECK REPLICATION ===","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":98,"endLine":98,"sourceId":"gh-source-292d46c6faf9772b","locator":"Lines 98–98"}]},{"id":"scan-c91694397ca8e3d4","title":"Scanned source fragment","original":"=== SWARM TICK (AUTONOMOUS) ===","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":133,"endLine":133,"sourceId":"gh-source-292d46c6faf9772b","locator":"Lines 133–133"}]},{"id":"scan-f824b71d80a9638a","title":"Scanned source fragment","original":"=== REPLICATION SERVER ===","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":168,"endLine":168,"sourceId":"gh-source-292d46c6faf9772b","locator":"Lines 168–168"}]},{"id":"scan-d500ebd9d373c153","title":"Scanned source fragment","original":"=== GOAL EVOLUTION ===","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":221,"endLine":221,"sourceId":"gh-source-292d46c6faf9772b","locator":"Lines 221–221"}]},{"id":"scan-8d272bc9a645d29e","title":"Scanned source fragment","original":"=== STATUS REPORTER ===","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":241,"endLine":241,"sourceId":"gh-source-292d46c6faf9772b","locator":"Lines 241–241"}]},{"id":"scan-4067e5f7c12f4eb7","title":"Scanned source fragment","original":"=== MAIN ===","classification":"rejected","occurrenceCount":3,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":269,"endLine":269,"sourceId":"gh-source-292d46c6faf9772b","locator":"Lines 269–269"}]},{"id":"scan-7f8e87f19d6a7236","title":"Scanned source fragment","original":"files_processed = stats.total_files_processed;","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Simple object, field, pointer or label assignment with no mathematical operation.","sourceRefs":[{"startLine":229,"endLine":229,"sourceId":"gh-source-9ef0d286e057b583","locator":"Lines 229–229"}]},{"id":"scan-d55bcd8467c14756","title":"Scanned source fragment","original":"chunks_generated = stats.total_chunks_generated;","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Simple object, field, pointer or label assignment with no mathematical operation.","sourceRefs":[{"startLine":232,"endLine":232,"sourceId":"gh-source-9ef0d286e057b583","locator":"Lines 232–232"}]},{"id":"scan-e63ef6a6a87e5b76","title":"Scanned source fragment","original":"embeddings_generated = stats.total_embeddings_generated;","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Simple object, field, pointer or label assignment with no mathematical operation.","sourceRefs":[{"startLine":235,"endLine":235,"sourceId":"gh-source-9ef0d286e057b583","locator":"Lines 235–235"}]},{"id":"scan-14afc599877acfbd","title":"Scanned source fragment","original":"processing_rate_mbps = stats.processing_rate_mbps;","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Simple object, field, pointer or label assignment with no mathematical operation.","sourceRefs":[{"startLine":238,"endLine":238,"sourceId":"gh-source-9ef0d286e057b583","locator":"Lines 238–238"}]},{"id":"scan-c33d5e5f6353682e","title":"Scanned source fragment","original":"Lower index = more frequent processing","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":360,"endLine":360,"sourceId":"gh-source-eeae55fc3b95fcf1","locator":"Lines 360–360"}]},{"id":"scan-27b9d39888c3e99c","title":"Scanned source fragment","original":"Core energy equation: E = φ × (1 + entropy) × (1 + |tensor|)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-858de4ecb8a98bb3"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":39,"endLine":39,"sourceId":"gh-source-8e11e2a14ef9077c"}]},{"id":"scan-df52556ea49983e5","title":"Scanned source fragment","original":"Hamiltonian H = T + V + E_field","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d71715768d76c431"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":295,"endLine":295,"sourceId":"gh-source-8e11e2a14ef9077c"}]},{"id":"scan-a0e6b23655a01ba2","title":"Scanned source fragment","original":"Lagrangian L = T - V","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3bdfc0f29a2da42b"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":300,"endLine":300,"sourceId":"gh-source-8e11e2a14ef9077c"}]},{"id":"scan-9ba18b8f9246948a","title":"Scanned source fragment","original":"Action S = ∫ L dt","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c864991ddc308b9b"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":308,"endLine":308,"sourceId":"gh-source-8e11e2a14ef9077c"}]},{"id":"scan-3b29e722020b871b","title":"Scanned source fragment","original":"T = (1/2) m v²","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-1312b8177fa02f6d"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":428,"endLine":428,"sourceId":"gh-source-8e11e2a14ef9077c"}]},{"id":"scan-64d1bdca249c4978","title":"Scanned source fragment","original":"Potential energy proportional to distance from unity (x=1)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-da5296c346e2e6e7"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":438,"endLine":438,"sourceId":"gh-source-8e11e2a14ef9077c"}]},{"id":"scan-43d646f51958eebd","title":"Scanned source fragment","original":"V = k × |x - 1|²","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-cb9eba7a3ff6f137"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":439,"endLine":439,"sourceId":"gh-source-8e11e2a14ef9077c"}]},{"id":"scan-11ce3a301b9121ec","title":"Scanned source fragment","original":"2. Core consciousness equation: Φ = 1/(1 + |x - 1|)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0d0f89d7ea554710"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":43,"endLine":43,"sourceId":"gh-source-68da59045c6388e7"}]},{"id":"scan-3fc9946169cf72bb","title":"Scanned source fragment","original":"Unity Regularization (∞ = 1)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-87c3d182219029ee"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":90,"endLine":90,"sourceId":"gh-source-68da59045c6388e7"}]},{"id":"scan-d733b7167fac36dd","title":"Scanned source fragment","original":"Calculate Shannon entropy: H = -Σ p_i * log2(p_i)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-072d6005e61550ba"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":173,"endLine":173,"sourceId":"gh-source-68da59045c6388e7"}]},{"id":"scan-068012fb0e35e490","title":"Scanned source fragment","original":"E = φ * (1 + entropy) * (1 + |tensor|)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0ba2724f43bf4eab"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":192,"endLine":192,"sourceId":"gh-source-68da59045c6388e7"}]},{"id":"scan-52211ac1682c50a5","title":"Scanned source fragment","original":"Compute Shannon entropy: H = -Σ p_i * log2(p_i)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-e9af2c1b6756dec8"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":327,"endLine":327,"sourceId":"gh-source-69314281a22db26f"}]},{"id":"scan-96327dfd756bea81","title":"Scanned source fragment","original":"=== CONFIG ===","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":32,"endLine":32,"sourceId":"gh-source-71a048653b6db2d0","locator":"Lines 32–32"}]},{"id":"scan-72dba085dc2d4a8c","title":"Scanned source fragment","original":"=== PEER & BINARY STATE ===","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":39,"endLine":39,"sourceId":"gh-source-71a048653b6db2d0","locator":"Lines 39–39"}]},{"id":"scan-af00b738086d521f","title":"Scanned source fragment","original":"=== GET LOCAL IP ADDRESS ===","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":55,"endLine":55,"sourceId":"gh-source-71a048653b6db2d0","locator":"Lines 55–55"}]},{"id":"scan-3141af93b4bdd78d","title":"Scanned source fragment","original":"=== mDNS DISCOVERY (Bonjour/avahi) ===","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":84,"endLine":84,"sourceId":"gh-source-71a048653b6db2d0","locator":"Lines 84–84"}]},{"id":"scan-2e68559c303d8121","title":"Scanned source fragment","original":"=== GOSSIP: SEND VERSION + DELTA ===","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":127,"endLine":127,"sourceId":"gh-source-71a048653b6db2d0","locator":"Lines 127–127"}]},{"id":"scan-06d7b73616a33a1a","title":"Scanned source fragment","original":"=== GOSSIP: RECEIVE & APPLY DELTA ===","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":184,"endLine":184,"sourceId":"gh-source-71a048653b6db2d0","locator":"Lines 184–184"}]},{"id":"scan-7112462857357e22","title":"Scanned source fragment","original":"Version = file modification time","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":331,"endLine":331,"sourceId":"gh-source-71a048653b6db2d0","locator":"Lines 331–331"}]},{"id":"scan-2ec2c9fb3f63ad14","title":"Scanned source fragment","original":"=== USE SYSTEM ZLIB (standard compression library) ===","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":32,"endLine":32,"sourceId":"gh-source-b962b94486e99e51","locator":"Lines 32–32"}]},{"id":"scan-ac4cfd2fd630ab33","title":"Scanned source fragment","original":"=== RSYNC ROLLING CHECKSUM ===","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":43,"endLine":43,"sourceId":"gh-source-b962b94486e99e51","locator":"Lines 43–43"}]},{"id":"scan-5d65c0f9c530b359","title":"Scanned source fragment","original":"=== GET MY IP (IPv4 packed) ===","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":70,"endLine":70,"sourceId":"gh-source-b962b94486e99e51","locator":"Lines 70–70"}]},{"id":"scan-a053d74d20917471","title":"Scanned source fragment","original":"=== FNV-1a HASH FOR VERSIONING ===","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":79,"endLine":79,"sourceId":"gh-source-b962b94486e99e51","locator":"Lines 79–79"}]},{"id":"scan-65e962862eb4c790","title":"Scanned source fragment","original":"=== LOAD BINARY + SIGNATURE ===","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":89,"endLine":89,"sourceId":"gh-source-b962b94486e99e51","locator":"Lines 89–89"}]},{"id":"scan-bb06918b9c4400f6","title":"Scanned source fragment","original":"=== UDP HEARTBEAT (8 bytes: IP + version) ===","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":120,"endLine":120,"sourceId":"gh-source-b962b94486e99e51","locator":"Lines 120–120"}]},{"id":"scan-e0268e27fc01eb31","title":"Scanned source fragment","original":"(uint32_t*)(msg + 4) = htonl(my_version & 0xFFFFFFFF);","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as an object-pointer assignment, structural diagram, application/protocol prose or qualitative label mapping rather than a mathematical equation.","sourceRefs":[{"startLine":135,"endLine":135,"sourceId":"gh-source-b962b94486e99e51","locator":"Lines 135–135"}]},{"id":"scan-10f4dd81cbed04f8","title":"Scanned source fragment","original":"=== UDP LISTENER ===","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":142,"endLine":142,"sourceId":"gh-source-b962b94486e99e51","locator":"Lines 142–142"}]},{"id":"scan-3b835edc434bd9c1","title":"Scanned source fragment","original":"=== TCP SYNC SERVER (compressed full binary) ===","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":186,"endLine":186,"sourceId":"gh-source-b962b94486e99e51","locator":"Lines 186–186"}]},{"id":"scan-cdc12b34c5b743ee","title":"Scanned source fragment","original":"=== SYNC LOOP ===","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":232,"endLine":232,"sourceId":"gh-source-b962b94486e99e51","locator":"Lines 232–232"}]},{"id":"scan-2a8ec7302d3cc8ab","title":"Scanned source fragment","original":"greaterNumbers = numbers.reduce((acc, num) => num > 3 ? acc.concat(num) : acc, []);","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":76,"endLine":76,"sourceId":"gh-source-e14e8a235a1952ad","locator":"Lines 76–76"}]},{"id":"scan-eeeae8afa0966b57","title":"Scanned source fragment","original":"LAYER 1: Web App Manifest (the canonical signal)\n |\n |---> /manifest.webmanifest (linked via )\n {\n \"name\": \"Full app name\",\n \"short_name\": \"Short label\",\n \"icons\": [...],\n \"start_url\": \"/\",\n \"display\": \"standalone\",\n \"theme_color\": \"#6B3FA0\",\n \"background_color\": \"#FFFFFF\"\n }\n\nLAYER 2: iOS Safari Fallback Meta Tags (because Safari is partial)\n |\n |---> apple-mobile-web-app-capable (enables standalone + splash screen)\n |---> apple-mobile-web-app-title (icon label; manifest short_name preferred but Safari behavior varies)\n |---> apple-mobile-web-app-status-bar-style (iOS specific, no manifest equivalent)\n |---> apple-touch-icon link elements (icon assets)\n |---> apple-touch-startup-image link elements (splash screens, requires apple-mobile-web-app-capable)\n\nLAYER 3: Chrome Android Modern Equivalent (largely redundant with manifest)\n |\n |---> mobile-web-app-capable (replaces Apple tag for Chrome warnings)\n\nLAYER 4: Cross Platform Identity\n |\n |---> application-name (still used in some browser bookmark UI)\n\nLAYER 5: Microsoft Windows Tile (largely deprecated)\n |\n |---> msapplication-TileColor (Windows 10 Live Tile background; vestigial in Windows 11)\n |---> msapplication-TileImage (Windows 10 Live Tile image; vestigial in Windows 11)\n |---> msapplication-config (pointer to browserconfig.xml; vestigial)","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":137,"endLine":170,"sourceId":"gh-source-d84a159a11687fd7","locator":"Lines 137–170"}]},{"id":"scan-6318648f3e1ec80b","title":"Scanned source fragment","original":"For each page P in the cluster:\n ✓ P has a self referencing \n ✓ P has for every variant X in the cluster, including P itself\n ✓ Every other page in the cluster also has pointing to P","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":617,"endLine":620,"sourceId":"gh-source-7d4f7d0b7ace0cd6","locator":"Lines 617–620"}]},{"id":"scan-125fe0be02b55e51","title":"Scanned source fragment","original":"THE FIVE FILES\n |\n |---> /favicon.ico (legacy fallback, multi size, ~10 KB)\n |---> /icon.svg (modern primary, scalable, ~2 KB)\n |---> /apple-touch-icon.png (iOS home screen, 180x180, ~20 KB)\n |---> /icon-192.png (Android home screen, 192x192, referenced in manifest)\n |---> /icon-512.png (Android splash and install, 512x512, referenced in manifest)\n\nTHE HTML HEAD DECLARATIONS\n |\n |---> \n |---> \n |---> \n |---> \n\nTHE MANIFEST\n |\n |---> {\n \"icons\": [\n { \"src\": \"/icon-192.png\", \"sizes\": \"192x192\", \"type\": \"image/png\" },\n { \"src\": \"/icon-512.png\", \"sizes\": \"512x512\", \"type\": \"image/png\" }\n ]\n }","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":138,"endLine":160,"sourceId":"gh-source-3322d0147ac0dd73","locator":"Lines 138–160"}]},{"id":"scan-ca6fbb3e79242c51","title":"Scanned source fragment","original":"Favicon history:\n Initial deploy: 2025-08-15, /favicon.ico, /icon.svg, /apple-touch-icon.png\n Brand refresh: 2026-03-10, bumped to v=2 (?v=2 query parameters)","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":1020,"endLine":1022,"sourceId":"gh-source-3322d0147ac0dd73","locator":"Lines 1020–1022"}]},{"id":"scan-a77c662dc55dad88","title":"Scanned source fragment","original":"Crawler parses your page and extracts authorship signals:\n |\n v\n==================== SOURCE PRIORITY ====================\n |\n |---> Visible byline in article content (HIGHEST signal)\n | e.g., By Joseph Anady
\n |\n |---> Schema.org structured data (Article.author or BlogPosting.author)\n | Strong signal; includes credentials, links, sameAs to other identities\n |\n |---> Meta author tag\n | Supporting signal; backs up byline and schema\n |\n |---> Open Graph article:author\n | Social media specific; ensures share previews show author\n |\n |---> Twitter creator\n | Twitter/X specific\n |\n |---> Page footer attribution\n | Weak signal but useful for site wide authorship (e.g., \"Crafted by ThatDeveloperGuy\")\n\n==================== AGGREGATION ====================\n |\n v\nGoogle extracts an \"author entity\" from all signals.\n |\n v\nIf signals align (same author name consistently): strong author confidence.\n |\n v\nIf signals conflict (different names): reduced author confidence.\n |\n v\nIf signals missing entirely: page treated as anonymous.\n\n==================== E-E-A-T IMPACT ====================\n |\n v\nFor YMYL topics (medical, financial, legal, safety):\n |\n |---> Strong author signal with credentials: high E-E-A-T\n |---> Weak or anonymous author: low E-E-A-T; ranking penalty\n |\nFor non YMYL topics:\n |\n |---> Author signal helpful but less critical\n |---> Strong content quality can compensate for weak author signals","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":106,"endLine":154,"sourceId":"gh-source-104721d35ce6f210","locator":"Lines 106–154"}]},{"id":"scan-064e75be4f6203aa","title":"Scanned source fragment","original":"Byte sequence: 0xE2 0x80 0x99\n |\n |---> Interpreted as UTF-8 ........... right single quotation mark (')\n |\n |---> Interpreted as ISO-8859-1 ...... three characters: â, €, ™\n |\n |---> Interpreted as Windows-1252 .... three characters: â, €, ™\n\n================ THE ENCODING JOURNEY ================\n\nAuthor writes content with special characters\n |\n v\nFile saved with some encoding (file metadata or implicit)\n |\n v\nServer reads file, sends to client\n |\n v\nHTTP response: Content-Type: text/html; charset=??\n |\n v\nHTML content includes declaration\n |\n v\nBrowser parses encoding declaration, interprets bytes accordingly\n |\n v\nCharacters render correctly (or as mojibake)\n\n================ WHERE MISMATCHES HAPPEN ================\n\n* File saved as Windows-1252 but server declares UTF-8.\n* HTML declares UTF-8 but HTTP header declares ISO-8859-1.\n* Form submits as UTF-8 but server parses as Windows-1252.\n* Database stores as SQL_ASCII but expected UTF-8.\n* JavaScript reads localStorage as Latin-1 but stored as UTF-8.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":114,"endLine":150,"sourceId":"gh-source-0b76f9bd91bac440","locator":"Lines 114–150"}]},{"id":"scan-a055533f2688260e","title":"Scanned source fragment","original":"HTTP/2 200 OK\nContent-Type: text/html; charset=ISO-8859-1\n\n\n\n","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":681,"endLine":686,"sourceId":"gh-source-0b76f9bd91bac440","locator":"Lines 681–686"}]},{"id":"scan-3807520ce5eb7174","title":"Scanned source fragment","original":"Browser starts rendering the page.\n |\n v\n==================== EARLY DECISIONS ====================\n |\n |---> What color scheme should the canvas use?\n | (area outside HTML element; overscroll area)\n |\n |---> What styling for native form controls?\n | (date pickers, scrollbars, dropdowns)\n |\n |---> What default text and background colors?\n | (before custom CSS specifies)\n |\n |---> Should I render light or dark by default?\n\n==================== WITHOUT color-scheme ====================\n |\n v\n Browser assumes LIGHT (for legacy compatibility):\n - White canvas.\n - Light form controls.\n - Black on white default text.\n - Light rendering.\n |\n v\n If page CSS specifies dark mode via media query:\n - Page background turns dark when CSS loads.\n - But canvas stays white (jarring).\n - Native form controls stay light (jarring).\n - Brief light flash visible.\n\n==================== WITH color-scheme: light dark ====================\n |\n v\n Browser knows page supports both schemes:\n - Canvas adapts to system color scheme.\n - Native form controls adapt to system color scheme.\n - Default text and background colors appropriate to system scheme.\n - No flash; rendering matches scheme from first paint.\n\n==================== THE DECLARATION FORMS ====================\n |\n v\n HTML meta tag (recommended for timing):\n \n |\n CSS on :root (equivalent functionality, slightly later):\n :root { color-scheme: light dark; }\n |\n Both: works fine; redundant but harmless.\n\n==================== ORDER VARIANTS ====================\n |\n \"light dark\" - primary light, fallback dark.\n \"dark light\" - primary dark, fallback light.\n \"only light\" - light only; force light even on dark mode systems.\n \"only dark\" - dark only; force dark even on light mode systems.\n \"normal\" - no preference (browser default).","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":109,"endLine":167,"sourceId":"gh-source-85dfb873ace612b9","locator":"Lines 109–167"}]},{"id":"scan-de55e74815f5ffc8","title":"Scanned source fragment","original":"Page contains language signals:\n |\n v\n==================== PER SIGNAL READING ORDER ====================\n |\n |---> HTTP Content-Language response header (set at server)\n | Sent before HTML parsing begins.\n | Authoritative for server-declared language.\n |\n |---> attribute (parsed early in HTML)\n | Primary signal for browsers and search engines.\n | Used for hyphenation, screen reader, search ranking.\n |\n |---> \n | LEGACY: ignored by Google since 2010.\n | Still parsed by some tools and older crawlers.\n | No value in modern web.\n |\n |---> on body elements\n | For mixed language content.\n | Per element override.\n |\n |---> \n | For multi language site targeting.\n | The international SEO signal.\n\n==================== THE DECISION TREE ====================\n |\n v\n What is the primary page language?\n |\n v\n Set (or appropriate BCP 47)\n |\n v\n Does any element contain different language?\n |\n |---> YES: add lang=\"...\" to that element\n |\n |---> NO: continue\n |\n v\n Is this a multi language site (translations exist)?\n |\n |---> YES: add hreflang link elements for each translation\n |\n |---> NO: continue\n |\n v\n Should HTTP Content-Language header be set?\n |\n |---> YES: configure in nginx (covered in framework-http-content-headers.md)\n |\n |---> NO: html lang is sufficient\n |\n v\n Should be included?\n |\n |---> ALMOST NEVER: deprecated by Google; redundant with html lang","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":111,"endLine":169,"sourceId":"gh-source-533d5ba2ffc66aea","locator":"Lines 111–169"}]},{"id":"scan-f368434e0f8f2d92","title":"Scanned source fragment","original":"Language signaling implementation:\n Default: English (en-US)\n Alternate: Spanish (es)\n \n HTML attribute: on English; on Spanish.\n hreflang: reciprocal between en-US and es.\n HTTP Content-Language: set per route in nginx.\n \n No deprecated meta http-equiv=\"content-language\" used.\n All BCP 47 language tags conform to standard format.\n \n Aligns with: federal multi language access requirements (where applicable).","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":846,"endLine":857,"sourceId":"gh-source-533d5ba2ffc66aea","locator":"Lines 846–857"}]},{"id":"scan-e1f61e1ad50b54c4","title":"Scanned source fragment","original":"Language signaling:\n Primary language: en-US\n Multi language: no\n \n HTML attribute: on every page\n HTTP header: Content-Language set in nginx (optional)\n hreflang: not applicable (single language)\n http-equiv meta: omitted (deprecated by Google)","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":1039,"endLine":1046,"sourceId":"gh-source-533d5ba2ffc66aea","locator":"Lines 1039–1046"}]},{"id":"scan-782617888516c05e","title":"Scanned source fragment","original":"Language signaling:\n Primary language: English (en-US)\n Alternate: Marshallese (mh)\n \n HTML attribute: on English; on Marshallese\n HTTP header: Content-Language set per route in nginx\n hreflang: reciprocal between en-US and mh; x-default to English\n http-equiv meta: omitted\n \n Mixed content: lang=\"mh\" on Marshallese elements within English pages\n UTF-8: full chain end to end (HTML, nginx, forms, database)","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":1052,"endLine":1062,"sourceId":"gh-source-533d5ba2ffc66aea","locator":"Lines 1052–1062"}]},{"id":"scan-64aad4926dc0d95b","title":"Scanned source fragment","original":"Language signaling:\n Primary language: {{ primary }}\n Multi language: {{ yes/no }}\n Alternates: {{ list }}\n \n HTML attribute: on every page\n HTTP header: Content-Language set via nginx (optional)\n hreflang: {{ implemented/not applicable }}\n http-equiv meta: OMITTED (deprecated by Google)\n \n Special considerations: {{ e.g., UTF-8 chain for Marshallese }}","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":1445,"endLine":1455,"sourceId":"gh-source-533d5ba2ffc66aea","locator":"Lines 1445–1455"}]},{"id":"scan-7127b9c94f1f69bc","title":"Scanned source fragment","original":"Page is fetched. What reads ?\n |\n |---> Google: parses, stores, ignores for ranking\n |\n |---> Bing: parses, stores, ignores for ranking\n |\n |---> Wappalyzer/BuiltWith/SimilarWeb: parses for tech stack catalog\n |\n |---> Security scanners (automated): parses for vulnerability targeting\n |\n |---> Manual security researchers: parses for fingerprinting\n |\n |---> Competitors using browser dev tools: visible source code\n\n==================== THE INFORMATION FLOW ====================\n |\n v\n \"\"\n reveals:\n - Site is running WordPress\n - Specific version is 6.4.2\n - Known vulnerabilities in 6.4.2 are exploitation candidates\n - Stack is presumably PHP-based with MySQL\n - Likely plugins (other signatures combine with this)\n\n==================== THE EVALUATION ====================\n |\n v\nFor each level of disclosure, weigh:\n - Security risk: how much does this aid an attacker?\n - Competitive intelligence: how much does this reveal strategy?\n - Operational benefit: who legitimately needs this info?\n\n==================== THE BUBBLES MATRIX ====================\n |\n v\n Include with version (WordPress 6.4.2): NEVER.\n |\n Include without version (WordPress): rare. Only if necessary disclosure.\n |\n Include as brand statement (Hand coded by ThatDeveloperGuy.com): optional.\n |\n Omit entirely: safe default.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":105,"endLine":147,"sourceId":"gh-source-d428f3faed21c0b6","locator":"Lines 105–147"}]},{"id":"scan-09b43cc207cbe95f","title":"Scanned source fragment","original":"Is this a new hand coded Bubbles build?\n |\n |---> YES: Optional brand statement.\n | \n | OR omit entirely.\n |\n |---> NO: Is this a migration from CMS?\n |\n |---> YES: AUDIT for stale generator tags. REMOVE.\n |\n |---> NO: Existing CMS site we're maintaining?\n |\n |---> Yes: Configure CMS to suppress generator.\n |\n |---> No (other): omit by default.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":893,"endLine":907,"sourceId":"gh-source-d428f3faed21c0b6","locator":"Lines 893–907"}]},{"id":"scan-4f6aef7d4237e08b","title":"Scanned source fragment","original":"Crawler fetches your page, sees \n |\n v\nThe tag is parsed and stored in the crawler's understanding of the page.\n |\n v\nWhat happens next depends on the search engine:\n\n==================== PER ENGINE BEHAVIOR ====================\n\nGoogle:\n - Reads the tag.\n - Stores the value in its index.\n - Does NOT use it for ranking.\n - May use it for anti spam signal detection (excessive keywords flagged).\n\nBing:\n - Reads the tag.\n - Uses as one of many relevance signals.\n - Excessive or irrelevant keywords trigger anti spam.\n - Conservative use is neutral.\n\nYandex (Russia):\n - Reads the tag.\n - Uses as a ranking factor.\n - More important than for Google/Bing.\n\nBaidu (China):\n - Reads the tag.\n - Uses as a ranking factor.\n\nDuckDuckGo:\n - Derives from Bing's index.\n - Inherits Bing's behavior.\n\nInternal site search:\n - Often uses meta keywords as a relevance signal.\n - Varies by implementation.\n\n==================== THE PRACTICAL EFFECT ====================\n\nFor US/English market sites (the Bubbles client base):\n - Omitting meta keywords: no negative effect.\n - Including conservative meta keywords (3-5 relevant terms): no positive effect.\n - Including aggressive meta keywords (10+ terms, especially irrelevant): negative\n effect on Bing.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":107,"endLine":152,"sourceId":"gh-source-668c2223b297d629","locator":"Lines 107–152"}]},{"id":"scan-fe3f368fe24079fa","title":"Scanned source fragment","original":"Decision: omit meta http-equiv=\"refresh\" entirely.\nRedirect needs: implement via HTTP 301 at nginx layer.\nAuto refresh needs: implement via JavaScript with WCAG compliant user controls.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":925,"endLine":927,"sourceId":"gh-source-6ff4e1d7380143a3","locator":"Lines 925–927"}]},{"id":"scan-cf2e1dafd3e951bc","title":"Scanned source fragment","original":"Redirect handling:\n Implementation: HTTP 301 via nginx\n No meta http-equiv=\"refresh\" used\n \n Per route redirects: see nginx config\n \n Migration cleanup: completed; no legacy meta refresh remains.\n\nAuto refresh:\n Not used.\n If real time data is needed: JavaScript polling with user pause control.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":1509,"endLine":1519,"sourceId":"gh-source-6ff4e1d7380143a3","locator":"Lines 1509–1519"}]},{"id":"scan-53661cb5237ddfe0","title":"Scanned source fragment","original":"Crawler fetched URL, got 200 with HTML.\n |\n v\n==================== STEP 1: PARSE META ROBOTS ====================\n |\n v\nFind all \n |\n |---> Generic applies to all crawlers\n |\n |---> Crawler specific (e.g., ) overrides generic FOR THAT CRAWLER\n |\n |---> Multiple tags merge; most restrictive directive wins\n |\n v\n==================== STEP 2: APPLY DIRECTIVES ====================\n |\n v\nDoes noindex apply?\n YES to URL excluded from index (but body still parsed if needed for links)\n NO to URL considered for indexing\n |\n v\nDoes nofollow apply?\n YES to Links on the page not followed for crawl discovery\n NO to Links followed normally\n |\n v\nSnippet generation rules:\n nosnippet to No snippet shown\n max-snippet:N to Snippet capped at N characters\n max-image-preview:X to Image preview size limited\n max-video-preview:N to Video preview capped at N seconds\n |\n v\nOther behaviors:\n noarchive to No \"cached\" link in results\n notranslate to No Google Translate offer\n noimageindex to Images on page not indexed (but page still indexed)\n unavailable_after:DATE to Drop from index after this date\n indexifembedded to Index when embedded even if noindex\n |\n v\n==================== STEP 3: RESULT ====================\n |\n v\nURL processed per the combined directives.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":110,"endLine":156,"sourceId":"gh-source-49457cc2bab0aae0","locator":"Lines 110–156"}]},{"id":"scan-e4987062ab3d161b","title":"Scanned source fragment","original":"HTTP/2 200 OK\nX-Robots-Tag: index\n\n\n\n\n","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":593,"endLine":599,"sourceId":"gh-source-49457cc2bab0aae0","locator":"Lines 593–599"}]},{"id":"scan-2afaa7d4a41575c6","title":"Scanned source fragment","original":"Browser checks for theme color signal:\n |\n v\n==================== PER BROWSER BEHAVIOR ====================\n |\n |---> Chrome Android: reads . Honors it.\n | Picks media query variant matching system color scheme.\n | Applies to address bar AND status bar.\n |\n |---> Chrome Desktop: reads . Limited honor.\n | Affects tab color in some configurations.\n |\n |---> iOS 26 Safari (2025+): IGNORES .\n | Uses body/html background color OR fixed element near top of viewport.\n |\n |---> iOS pre-26 Safari: read with restrictions.\n | Apple's prohibited color list applied.\n | Only worked if \"Show color in compact tab bar\" enabled in Safari prefs.\n |\n |---> Firefox: limited support; treats theme-color informally.\n |\n |---> Brave, Edge: typically follows Chrome behavior.\n |\n |---> PWA mode (any OS): manifest.json theme_color preferred.\n | Meta tag supplements but manifest is canonical.\n\n==================== THE DECISION TREE ====================\n |\n v\nFor each Bubbles client site:\n |\n |---> 1. Define brand primary color.\n |\n |---> 2. Add .\n |\n |---> 3. Add dark mode variant if site supports dark theme.\n |\n |---> 4. Set body { background-color: #brand } in CSS (for iOS 26).\n |\n |---> 5. Add manifest.json theme_color if PWA capable.\n |\n |---> 6. Add iOS specific tags if PWA install enabled.\n |\n |---> 7. Verify against Apple's prohibited color list.\n |\n |---> 8. Test on real Chrome Android AND real iOS 26 Safari.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":118,"endLine":163,"sourceId":"gh-source-73edbc5b4b51dc79","locator":"Lines 118–163"}]},{"id":"scan-51028ad5a486b532","title":"Scanned source fragment","original":"[Notch / Status bar area = theme-color]\n[URL bar = theme-color]\n[Page content = whatever the page renders]","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":345,"endLine":347,"sourceId":"gh-source-73edbc5b4b51dc79","locator":"Lines 345–347"}]},{"id":"scan-1b67528ce5175639","title":"Scanned source fragment","original":"Brand colors:\n Primary: #6B46C1 (purple)\n Secondary: #1a1a1a (near black)\n Accent: #88c70a (green for ThatDeveloperGuy)\n\nTheme color implementation:\n \n \n\n body { background-color: #6B46C1; }\n @media (prefers-color-scheme: dark) { body { background-color: #0a0a0a; } }\n\nPWA manifest:\n theme_color: #6B46C1\n background_color: #1a1a1a\n\nApple prohibited check: PASSED.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":938,"endLine":954,"sourceId":"gh-source-73edbc5b4b51dc79","locator":"Lines 938–954"}]},{"id":"scan-0058628a3c25bf84","title":"Scanned source fragment","original":"Mobile browser with :\n 1. Set viewport width to the device's CSS pixel width (e.g., 390 on iPhone 14).\n 2. Render the page at that width.\n 3. Display at 100% (no shrinking).\n 4. Result: layout is responsive to actual device width; text is full size.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":119,"endLine":123,"sourceId":"gh-source-df3a990d2d4d762e","locator":"Lines 119–123"}]},{"id":"scan-46c999af2334dbb7","title":"Scanned source fragment","original":"Is this a mobile responsive site?\n |\n |---> YES: width=device-width, initial-scale=1 (the canonical default)\n |\n |---> NO: do not include the viewport tag (let mobile do its default behavior)\n |\n v\n==================== ADDITIONAL OPTIONS ====================\n |\n v\nDoes the design extend full bleed under iPhone notch?\n |\n |---> YES: add viewport-fit=cover\n | AND use CSS env(safe-area-inset-*) for interactive elements\n |\n |---> NO: leave viewport-fit default (auto)\n |\n v\nDoes the page have forms with on screen keyboard interaction?\n |\n |---> YES: consider interactive-widget=resizes-content if layout\n | should reflow under keyboard\n |\n |---> NO: default (resizes-visual) is fine\n |\n v\n==================== ACCESSIBILITY GUARDRAILS ====================\n |\n v\nNEVER include any of these (WCAG 1.4.4 violations):\n - user-scalable=no\n - maximum-scale=1 (or any value less than 2)\n - minimum-scale=1 (locks initial zoom)","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":129,"endLine":161,"sourceId":"gh-source-df3a990d2d4d762e","locator":"Lines 129–161"}]},{"id":"scan-4db91abda2fdc835","title":"Scanned source fragment","original":"Accessibility audit:\n ✗ [accessibility-2.21] [user-scalable=\"no\"] is used in the element, or the [maximum-scale] attribute is less than 5.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":435,"endLine":436,"sourceId":"gh-source-df3a990d2d4d762e","locator":"Lines 435–436"}]},{"id":"scan-c9b1f12060b283c6","title":"Scanned source fragment","original":"LAYER 1: Required (4 properties on every page)\n |\n |---> og:title (the social preview headline)\n |---> og:type (website, article, video.*, music.*, profile, book)\n |---> og:image (the 1200x630 preview image)\n |---> og:url (the canonical URL of the page)\n\nLAYER 2: Recommended (3 properties on every page)\n |\n |---> og:description (the social preview body text)\n |---> og:site_name (the site identity displayed in the card)\n |---> og:locale (the language and region, e.g. en_US)\n\nLAYER 3: Image sub properties (4 to 5 properties on the og:image)\n |\n |---> og:image:width (pixel width, typically 1200)\n |---> og:image:height (pixel height, typically 630)\n |---> og:image:alt (accessibility description)\n |---> og:image:type (MIME type, e.g. image/jpeg)\n |---> og:image:secure_url (HTTPS URL when og:image is HTTP, rarely used in 2026)\n\nLAYER 4: Type specific (only when og:type matches)\n |\n |---> article:* properties when og:type=article (blog posts)\n |---> video:* properties when og:type=video.*\n |---> music:* properties when og:type=music.*\n |---> profile:* properties when og:type=profile\n |---> book:* properties when og:type=book\n\nLAYER 5: Multi language (when site serves multiple languages)\n |\n |---> og:locale (primary locale)\n |---> og:locale:alternate (each additional locale, repeatable)","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":115,"endLine":147,"sourceId":"gh-source-b035c9e40c8e82cd","locator":"Lines 115–147"}]},{"id":"scan-fab9007165ce164d","title":"Scanned source fragment","original":"Request arrives at server\n |\n v\n==================== PROCESSING ====================\n |\n v\nWhat just happened?\n |\n |---> Existing resource was returned in full\n | |\n | v\n | 200 OK\n | Body: the resource itself\n | Indexable: YES (if content is substantive)\n | Crawler: passes to indexing pipeline\n |\n |---> A new resource was just created\n | |\n | v\n | 201 Created\n | Body: representation of new resource (or empty)\n | Header: Location pointing to new resource\n | Crawler: waits for content, may show soft 404 in Search Console\n |\n |---> Request accepted, will process asynchronously\n | |\n | v\n | 202 Accepted\n | Body: status info (or empty)\n | Header: Location pointing to status endpoint\n | Crawler: waits for content, may show soft 404\n |\n |---> Success, no body to return\n | |\n | v\n | 204 No Content\n | Body: MUST be empty\n | Crawler: signals indexing pipeline that no content was received\n | Search Console: typically shows soft 404 for indexed URLs\n |\n |---> Partial response to Range request\n | |\n | v\n | 206 Partial Content\n | Body: requested byte range only\n | Header: Content-Range describing the slice\n | Crawler: not for indexing; this is mid stream content","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":96,"endLine":142,"sourceId":"gh-source-95282b1ca7d1b2ba","locator":"Lines 96–142"}]},{"id":"scan-5c11c86827fd0ee8","title":"Scanned source fragment","original":"GET /video.mp4 HTTP/2\nRange: bytes=1024-4096\n\n----\n\nHTTP/2 206 Partial Content\nContent-Type: video/mp4\nContent-Range: bytes 1024-4096/2097152\nContent-Length: 3073\nAccept-Ranges: bytes","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":708,"endLine":717,"sourceId":"gh-source-95282b1ca7d1b2ba","locator":"Lines 708–717"}]},{"id":"scan-ea636e6f48ef33c4","title":"Scanned source fragment","original":"Range: bytes=0-1023 (request first 1024 bytes)\nRange: bytes=1024- (request from byte 1024 to end)\nRange: bytes=-1024 (request last 1024 bytes)\nRange: bytes=0-1023,2048-4095 (request multiple ranges)\n\nContent-Range: bytes 0-1023/47022 (delivered bytes 0 to 1023 of 47022 total)\nContent-Range: bytes */47022 (used in 416 response, file size only)\n\nAccept-Ranges: bytes (server supports byte range requests)\nAccept-Ranges: none (server does NOT support range requests)","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":737,"endLine":746,"sourceId":"gh-source-95282b1ca7d1b2ba","locator":"Lines 737–746"}]},{"id":"scan-f60b44ce077ef6e7","title":"Scanned source fragment","original":"GET /video.mp4 HTTP/2\nRange: bytes=1024-4096\nIf-Range: \"abc123\"","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":1136,"endLine":1138,"sourceId":"gh-source-95282b1ca7d1b2ba","locator":"Lines 1136–1138"}]},{"id":"scan-67e4c1e32e3a6d39","title":"Scanned source fragment","original":"GET /style.css HTTP/2\nIf-None-Match: \"abc123\"\n\n----\n\nHTTP/2 304 Not Modified\nETag: \"abc123\"\nCache-Control: public, max-age=86400","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":585,"endLine":592,"sourceId":"gh-source-68ef3830c4eba257","locator":"Lines 585–592"}]},{"id":"scan-9426db6d3f6ddf86","title":"Scanned source fragment","original":"The request cannot be fulfilled. Whose fault is it?\n |\n Server's fault Client's fault\n | |\n v v\n5xx codes (next framework) 4xx codes (this framework)\n |\n v\n==================== WHAT DID THE CLIENT DO WRONG? ====================\n |\n +-------- The request itself is malformed --------+\n | |\n | Wire format wrong (bad JSON, missing field) ... 400 Bad Request\n | |\n | Wire format OK, data semantically invalid ... 422 Unprocessable Entity\n | |\n | HTTP method not allowed for this URL ........ 405 Method Not Allowed\n | |\n | Payload too large ........................... 413 Payload Too Large\n | |\n | Content type not supported .................. 415 Unsupported Media Type\n | |\n +--------------------------------------------------+\n |\n +-------- The client is not authorized --------+\n | |\n | No credentials provided ................. 401 Unauthorized\n | |\n | Credentials provided but insufficient .... 403 Forbidden\n | |\n +-----------------------------------------------+\n |\n +-------- The resource doesn't exist (or never will) --------+\n | |\n | Not currently here, might return ......................... 404 Not Found\n | |\n | Permanently gone, will never return ...................... 410 Gone\n | |\n +-------------------------------------------------------------+\n |\n +-------- The client is sending too fast --------+\n | |\n | Rate limit exceeded ........................ 429 Too Many Requests\n | |\n +-------------------------------------------------+\n |\n +-------- Legal reasons prevent serving --------+\n |\n Court order, DMCA, GDPR, etc ............... 451 Unavailable For Legal Reasons","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":107,"endLine":155,"sourceId":"gh-source-cebf1e3151c4804e","locator":"Lines 107–155"}]},{"id":"scan-502bf7aa9765d605","title":"Scanned source fragment","original":"HTTP/2 401 Unauthorized\nWWW-Authenticate: Bearer realm=\"api\"\nContent-Type: application/json\n\n{\"error\": \"auth_required\", \"detail\": \"please authenticate\"}","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":297,"endLine":301,"sourceId":"gh-source-cebf1e3151c4804e","locator":"Lines 297–301"}]},{"id":"scan-e6689bee5ad6f313","title":"Scanned source fragment","original":"WWW-Authenticate: Cookie realm=\"bubbles-session\"","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":338,"endLine":338,"sourceId":"gh-source-cebf1e3151c4804e","locator":"Lines 338–338"}]},{"id":"scan-739a4a20cbf3edad","title":"Scanned source fragment","original":"WWW-Authenticate: Bearer realm=\"api\"","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":344,"endLine":344,"sourceId":"gh-source-cebf1e3151c4804e","locator":"Lines 344–344"}]},{"id":"scan-63affa206a3aca5f","title":"Scanned source fragment","original":"A 5xx is being returned. Where does it originate?\n |\n |---> The upstream application (FastAPI sidecar) generated it\n | |\n | |---> Application threw an uncaught exception ............... 500 Internal Server Error\n | |\n | |---> Application is intentionally signaling unavailability . 503 Service Unavailable\n | |\n | |---> Application returned something nginx couldn't parse ... 502 Bad Gateway (rare from FastAPI; more from misconfigured backends)\n |\n |---> Nginx generated it because the upstream had a problem\n | |\n | |---> Connection refused (upstream not listening) ............ 502 Bad Gateway\n | |\n | |---> Upstream sent invalid HTTP response ..................... 502 Bad Gateway\n | |\n | |---> Upstream timed out (didn't respond in time) ............. 504 Gateway Timeout\n | |\n | |---> Upstream returned 503 (signaling unavailability) ........ 503 (passed through)\n |\n |---> The operator chose to signal maintenance\n |\n 503 with Retry-After (the only \"intentional\" 5xx) ................. 503 Service Unavailable\n\n==================== CRAWLER RECOVERY STRATEGY ====================\n |\n |---> Transient 5xx (rare, intermittent) ............... Crawlers retry; URL stays in index\n |\n |---> Sustained 5xx (hours to 2 days) ................... Crawlers reduce crawl rate\n |\n |---> 5xx beyond 2 days ................................ URLs drop from index","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":103,"endLine":133,"sourceId":"gh-source-391dc0a312c503d6","locator":"Lines 103–133"}]},{"id":"scan-8d69ae1dd25b54e5","title":"Scanned source fragment","original":"Cache-Control: public, max-age=31536000, immutable\nCache-Control: private, max-age=0, must-revalidate\nCache-Control: no-store\nCache-Control: s-maxage=3600, max-age=60, stale-while-revalidate=30","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":137,"endLine":140,"sourceId":"gh-source-07fc134aa8e836e6","locator":"Lines 137–140"}]},{"id":"scan-b317384362ecd214","title":"Scanned source fragment","original":"Cache-Control: max-age=31536000\nExpires: Wed, 24 May 2027 14:00:00 GMT","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":740,"endLine":741,"sourceId":"gh-source-07fc134aa8e836e6","locator":"Lines 740–741"}]},{"id":"scan-2fb3552ec13c9284","title":"Scanned source fragment","original":"Response arrives\n |\n v\nRead Content-Encoding header\n |\n v\nIs the body compressed?\n | |\n YES NO\n | |\n v v\nDecompress using algorithm Skip decompression\nin Content-Encoding\n (gzip / br / zstd / deflate)\n |\n v\nRead Content-Type header\n |\n v\nWhat is this?\n |\n v\ntext/html -> parse as HTML, render in document context\ntext/css -> parse as stylesheet, only if \napplication/javascript -> parse and execute as script\napplication/json -> parse as JSON\nimage/* -> decode and render\napplication/pdf -> render inline (PDF viewer) OR prompt to save\n (decided by Content-Disposition)\n |\n v\nRead Content-Disposition\n |\n v\ninline? -> render in page context\nattachment? -> prompt download with given filename\n |\n v\nRead Content-Language (if set)\n |\n v\nPass to language tools, accessibility, search indexers","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":88,"endLine":129,"sourceId":"gh-source-49f6e04f4fed77ce","locator":"Lines 88–129"}]},{"id":"scan-43dae9a65802c9b9","title":"Scanned source fragment","original":"Content-Type: text/html; charset=utf-8\nContent-Type: application/json\nContent-Type: image/webp\nContent-Type: font/woff2\nContent-Type: application/pdf","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":149,"endLine":153,"sourceId":"gh-source-49f6e04f4fed77ce","locator":"Lines 149–153"}]},{"id":"scan-90cf3a75ccbf2326","title":"Scanned source fragment","original":"Content-Type: text/html; charset=utf-8\nContent-Type: application/javascript; charset=utf-8\nContent-Type: multipart/form-data; boundary=----WebKitFormBoundary7MA4YWxkTrZu0gW","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":165,"endLine":167,"sourceId":"gh-source-49f6e04f4fed77ce","locator":"Lines 165–167"}]},{"id":"scan-8cbb6d9c697bee59","title":"Scanned source fragment","original":"Content-Type: text/html; charset=utf-8\nContent-Type: application/javascript; charset=utf-8\nContent-Type: application/json; charset=utf-8","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":285,"endLine":287,"sourceId":"gh-source-49f6e04f4fed77ce","locator":"Lines 285–287"}]},{"id":"scan-e31f4c8fc8cc3ae7","title":"Scanned source fragment","original":"Content-Disposition: inline\nContent-Disposition: attachment\nContent-Disposition: attachment; filename=\"report.pdf\"\nContent-Disposition: attachment; filename=\"report.pdf\"; filename*=UTF-8''report-%E2%82%AC.pdf","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":1145,"endLine":1148,"sourceId":"gh-source-49f6e04f4fed77ce","locator":"Lines 1145–1148"}]},{"id":"scan-490ac36c29a1b0ac","title":"Scanned source fragment","original":"Content-Disposition: \nContent-Disposition: ; =","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":1161,"endLine":1162,"sourceId":"gh-source-49f6e04f4fed77ce","locator":"Lines 1161–1162"}]},{"id":"scan-83f89e83914d7391","title":"Scanned source fragment","original":"Content-Disposition: attachment; filename=\"resume.pdf\"; filename*=UTF-8''r%C3%A9sum%C3%A9.pdf","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":1347,"endLine":1347,"sourceId":"gh-source-49f6e04f4fed77ce","locator":"Lines 1347–1347"}]},{"id":"scan-c9420e9a4535e4a6","title":"Scanned source fragment","original":"attachment; filename=\"My Document.pdf\"","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":1386,"endLine":1386,"sourceId":"gh-source-49f6e04f4fed77ce","locator":"Lines 1386–1386"}]},{"id":"scan-c1bea6cb88bf09e6","title":"Scanned source fragment","original":"attachment; filename=My Document.pdf","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":1392,"endLine":1392,"sourceId":"gh-source-49f6e04f4fed77ce","locator":"Lines 1392–1392"}]},{"id":"scan-74418742ca6fedf3","title":"Scanned source fragment","original":"Content-Type: application/json; charset=utf-8\nContent-Encoding: br\nContent-Length: 1247","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":1420,"endLine":1422,"sourceId":"gh-source-49f6e04f4fed77ce","locator":"Lines 1420–1422"}]},{"id":"scan-539030ba392aef6a","title":"Scanned source fragment","original":"Server-Timing: db;dur=12.4\nServer-Timing: db;dur=12.4, render;dur=8.2, cache;desc=hit\nServer-Timing: total;dur=187;desc=\"full request\"","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":166,"endLine":168,"sourceId":"gh-source-b99184e8aab43ef1","locator":"Lines 166–168"}]},{"id":"scan-f274f4a06571eb56","title":"Scanned source fragment","original":"Server-Timing: [;dur=][;desc=][, ...]","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":180,"endLine":180,"sourceId":"gh-source-b99184e8aab43ef1","locator":"Lines 180–180"}]},{"id":"scan-216c016375099020","title":"Scanned source fragment","original":"Server-Timing: db;dur=12\nServer-Timing: db;dur=12;desc=\"user lookup\"\nServer-Timing: db;dur=12, cpu;dur=45\nServer-Timing: cache;desc=miss\nServer-Timing: total;dur=187","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":192,"endLine":196,"sourceId":"gh-source-b99184e8aab43ef1","locator":"Lines 192–196"}]},{"id":"scan-3aff0a29e34b54aa","title":"Scanned source fragment","original":"Server-Timing: db;dur=12.4;desc=\"user lookup\", render;dur=8.2, cache;desc=miss, total;dur=24.1","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":283,"endLine":283,"sourceId":"gh-source-b99184e8aab43ef1","locator":"Lines 283–283"}]},{"id":"scan-e183cf2d910e3c0c","title":"Scanned source fragment","original":"Alt-Svc: h3=\":443\"; ma=86400\nAlt-Svc: h3=\":443\"; ma=86400, h3-29=\":443\"; ma=86400\nAlt-Svc: clear","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":823,"endLine":825,"sourceId":"gh-source-b99184e8aab43ef1","locator":"Lines 823–825"}]},{"id":"scan-de493e9263adbab2","title":"Scanned source fragment","original":"Alt-Svc: =; ma= [; persist=1]\nAlt-Svc: clear","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":833,"endLine":834,"sourceId":"gh-source-b99184e8aab43ef1","locator":"Lines 833–834"}]},{"id":"scan-c4bb89baeb347f51","title":"Scanned source fragment","original":"# Advertise HTTP/3 on the same port for 1 day\nAlt-Svc: h3=\":443\"; ma=86400\n\n# Same as above, persistent across network changes\nAlt-Svc: h3=\":443\"; ma=86400; persist=1\n\n# Multiple HTTP/3 versions for compatibility\nAlt-Svc: h3=\":443\"; ma=86400, h3-29=\":443\"; ma=86400\n\n# Clear all alternatives (useful when disabling HTTP/3)\nAlt-Svc: clear","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":848,"endLine":858,"sourceId":"gh-source-b99184e8aab43ef1","locator":"Lines 848–858"}]},{"id":"scan-6476c24065818271","title":"Scanned source fragment","original":"Alt-Svc: h3=\":443\"; ma=86400; persist=1","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":1051,"endLine":1051,"sourceId":"gh-source-b99184e8aab43ef1","locator":"Lines 1051–1051"}]},{"id":"scan-39b93c2e263b706e","title":"Scanned source fragment","original":"Server-Timing: name;dur=ms[;desc=\"text\"], next;dur=ms","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":1902,"endLine":1902,"sourceId":"gh-source-b99184e8aab43ef1","locator":"Lines 1902–1902"}]},{"id":"scan-dc47705658a512a9","title":"Scanned source fragment","original":"Alt-Svc: h3=\":443\"; ma=86400","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":1924,"endLine":1924,"sourceId":"gh-source-b99184e8aab43ef1","locator":"Lines 1924–1924"}]},{"id":"scan-c2bdc8e152120174","title":"Scanned source fragment","original":"RateLimit-Limit: 100\nRateLimit-Remaining: 47\nRateLimit-Reset: 60\nRateLimit-Policy: 100;w=60","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":622,"endLine":625,"sourceId":"gh-source-8e6a7f87e5c00e06","locator":"Lines 622–625"}]},{"id":"scan-347fe6bbc4cd68b8","title":"Scanned source fragment","original":"RateLimit-Policy: 100;w=60\nRateLimit-Policy: 100;w=60, 1000;w=3600\nRateLimit-Policy: \"api-default\";q=100;w=60","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":640,"endLine":642,"sourceId":"gh-source-8e6a7f87e5c00e06","locator":"Lines 640–642"}]},{"id":"scan-12674fb9f3dcede2","title":"Scanned source fragment","original":"RateLimit: \"default\";r=999;t=60;pk=:Ym9vbWVy:","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":652,"endLine":652,"sourceId":"gh-source-8e6a7f87e5c00e06","locator":"Lines 652–652"}]},{"id":"scan-4df79549f1e2a4d8","title":"Scanned source fragment","original":"HTTP/1.1 429 Too Many Requests\nRetry-After: 60\nRateLimit-Limit: 100\nRateLimit-Remaining: 0\nRateLimit-Reset: 60\nRateLimit-Policy: 100;w=60","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":1293,"endLine":1298,"sourceId":"gh-source-8e6a7f87e5c00e06","locator":"Lines 1293–1298"}]},{"id":"scan-3c17ee7a36e47e55","title":"Scanned source fragment","original":"TCP connection accepted by nginx\n |\n v\n==================== ROUTING ====================\n |\n v\nRead Host header\n * Match against server_name in each server block\n * If no match and no default_server: nginx returns 444 (close connection)\n |\n v\nRouted to correct server block\n |\n v\n==================== IDENTITY ====================\n |\n v\nRead User-Agent header\n * Is this a known crawler? (UA pattern match)\n * Is it actually that crawler? (reverse DNS check, optional)\n * Is it on the rate limit whitelist? (from framework-http-rate-control-headers.md)\n |\n v\n==================== CONTENT NEGOTIATION ====================\n |\n v\nRead Accept (which content types client wants)\n * Pick best match for this resource\n * Set Vary: Accept on response if we vary\n\nRead Accept-Language (which languages client prefers)\n * Pick best match for multilingual content\n * Set Vary: Accept-Language on response if we vary\n\nRead Accept-Encoding (which compression algorithms client supports)\n * gzip, br, zstd: pick best supported by both client and server\n * Set Vary: Accept-Encoding on response (mandatory when compressing)\n\nRead Accept-Charset (legacy, almost universally ignored in 2026)\n * Just use UTF-8 and move on\n |\n v\n==================== CONDITIONAL GET ====================\n |\n v\nRead If-Modified-Since (RFC date)\n * Compare to resource's Last-Modified\n * If unchanged: return 304 Not Modified, no body\n\nRead If-None-Match (ETag value)\n * Compare to resource's current ETag\n * If matches: return 304 Not Modified, no body\n * If both If-* present: ETag takes precedence\n |\n v\n==================== CONTEXT FOR LOGGING ====================\n |\n v\nRead Referer (where the request originated)\n * Log for analytics (referral tracking)\n * Be aware: often empty for crawlers, often empty for privacy aware browsers\n\nRead From (legacy contact field, used by some bots)\n * Log for crawler accountability\n * Rarely actionable\n |\n v\n==================== TRANSPORT DISPOSITION ====================\n |\n v\nRead Connection (close, keep-alive, upgrade)\n * keep-alive: subsequent requests can reuse the connection\n * close: close after this response\n * upgrade: switch protocol (WebSocket negotiation)\n |\n v\n==================== APPLICATION ====================\n |\n v\nProcess the request, build the response with appropriate Vary headers","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":103,"endLine":182,"sourceId":"gh-source-7160a6f3a9bc3bda","locator":"Lines 103–182"}]},{"id":"scan-bf6e21deda33c045","title":"Scanned source fragment","original":"Accept: text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,*/*;q=0.8\nAccept: application/json\nAccept: */*","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":675,"endLine":677,"sourceId":"gh-source-7160a6f3a9bc3bda","locator":"Lines 675–677"}]},{"id":"scan-91faf1502383a68a","title":"Scanned source fragment","original":"Accept-Language: en-US,en;q=0.9\nAccept-Language: es-MX,es;q=0.9,en;q=0.8\nAccept-Language: fr-FR,fr;q=0.9,en;q=0.5","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":790,"endLine":792,"sourceId":"gh-source-7160a6f3a9bc3bda","locator":"Lines 790–792"}]},{"id":"scan-b339ca80e6614a08","title":"Scanned source fragment","original":"Accept-Charset: utf-8, iso-8859-1;q=0.5\nAccept-Charset: utf-8","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":1016,"endLine":1017,"sourceId":"gh-source-7160a6f3a9bc3bda","locator":"Lines 1016–1017"}]},{"id":"scan-37ea0cba08e776fd","title":"Scanned source fragment","original":"Content-Type: text/html; charset=utf-8","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":1027,"endLine":1027,"sourceId":"gh-source-7160a6f3a9bc3bda","locator":"Lines 1027–1027"}]},{"id":"scan-60ac79e86ff39ad5","title":"Scanned source fragment","original":"Strict-Transport-Security: max-age=31536000\nStrict-Transport-Security: max-age=31536000; includeSubDomains\nStrict-Transport-Security: max-age=63072000; includeSubDomains; preload","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":179,"endLine":181,"sourceId":"gh-source-7430e4529af9661c","locator":"Lines 179–181"}]},{"id":"scan-d29d339aadc37d36","title":"Scanned source fragment","original":"# Week 1: testing only\nStrict-Transport-Security: max-age=86400\n\n# Week 2 to 4: short commitment\nStrict-Transport-Security: max-age=2592000; includeSubDomains\n\n# Month 2: medium commitment\nStrict-Transport-Security: max-age=15768000; includeSubDomains\n\n# Month 3+: full commitment, ready for preload\nStrict-Transport-Security: max-age=63072000; includeSubDomains; preload","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":220,"endLine":230,"sourceId":"gh-source-7430e4529af9661c","locator":"Lines 220–230"}]},{"id":"scan-0bb54235d83121cd","title":"Scanned source fragment","original":"Crawler requests URL\n |\n v\nServer responds with status code\n |\n v\nStatus 200, 304? --> proceed to indexing logic\nStatus 301, 308? --> follow Location, consolidate signals to target\nStatus 302, 307? --> follow Location, do NOT consolidate (temporary)\nStatus 4xx? --> mark URL as gone or soft 404\nStatus 5xx? --> defer, retry later, may eventually drop from index\n |\n v\nRead X-Robots-Tag header\n |\n v\nDirectives present?\n | |\n YES NO\n | |\n v v\nApply directives: Default behavior:\n- noindex: do not add to index - index this URL\n- nofollow: do not follow links - follow all links on it\n- nosnippet: no preview text - show snippet in SERP\n- noarchive: no cached copy - allow cached copy\n- max-snippet:N: cap snippet - default snippet length\n |\n v\nRead Link header\n |\n v\n- rel=\"canonical\": treat target as primary, consolidate signals\n- rel=\"alternate\" hreflang: register language variants\n- rel=\"alternate\" media: register mobile/print variants\n- rel=\"prev\" / rel=\"next\": pagination (deprecated for SEO)\n- rel=\"preload\" / \"prefetch\": browser hints, ignored by crawlers\n |\n v\nRead HTML body (if Content-Type is text/html and not noindex)\n |\n v\nParse for:\n- (may override or supplement X-Robots-Tag)\n- (may override or supplement Link header)\n- \n- \n |\n v\nReconcile signals from HTTP and HTML\n |\n v\nUpdate index entry","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":88,"endLine":140,"sourceId":"gh-source-f0ac9dea6330822e","locator":"Lines 88–140"}]},{"id":"scan-757e5ee5245b2e04","title":"Scanned source fragment","original":"Link: ; param1=value1; param2=\"value 2\"\nLink: ; rel=\"...\"; param=\"...\" , ; rel=\"...\"","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":502,"endLine":503,"sourceId":"gh-source-f0ac9dea6330822e","locator":"Lines 502–503"}]},{"id":"scan-f8a122f4c6ab5b48","title":"Scanned source fragment","original":"Link: ; rel=preload; as=image; fetchpriority=high","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":576,"endLine":576,"sourceId":"gh-source-f0ac9dea6330822e","locator":"Lines 576–576"}]},{"id":"scan-0175199f81b7bbd6","title":"Scanned source fragment","original":"Link: ; rel=preload; as=image; media=\"(min-width: 1024px)\", ; rel=preload; as=image; media=\"(max-width: 1023px)\"","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":783,"endLine":783,"sourceId":"gh-source-f0ac9dea6330822e","locator":"Lines 783–783"}]},{"id":"scan-9861af43c3665eb6","title":"Scanned source fragment","original":"Link: ; rel=\"preload\"; as=\"image\"; fetchpriority=\"high\"","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":1992,"endLine":1992,"sourceId":"gh-source-f0ac9dea6330822e","locator":"Lines 1992–1992"}]},{"id":"scan-1392d9c131a186c3","title":"Scanned source fragment","original":"Link: ; rel=\"preload\"; as=\"font\"; crossorigin","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"HTTP, HTML or crawler-configuration example; equality signs identify attributes or protocol settings.","sourceRefs":[{"startLine":1997,"endLine":1997,"sourceId":"gh-source-f0ac9dea6330822e","locator":"Lines 1997–1997"}]},{"id":"scan-2b1da447036d4602","title":"Scanned source fragment","original":"score(i) = w₁·Thompson(Beta(α,β) per topic) ← exploration, cold start\n + w₂·cos(interest, item) ← semantic match\n + w₃·freshness(i) − w₄·fatigue(i) ← recency, anti-repetition","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-bfd413ca508357ef"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":44,"endLine":46,"sourceId":"gh-source-81c9acbb53419d17"}]},{"id":"scan-b237713fef478639","title":"Scanned source fragment","original":"@param {(e: import('../ports/types.js').SignalEvent) => void} opts.onSignal","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Programming type annotation or callback signature.","sourceRefs":[{"startLine":34,"endLine":34,"sourceId":"gh-source-3a8b7182a7bb915f","locator":"Lines 34–34"}]},{"id":"scan-bc7f41b9a74fde6a","title":"Scanned source fragment","original":"@returns {{observe: (el: Element) => void, disconnect: () => void}}","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Programming type annotation or callback signature.","sourceRefs":[{"startLine":35,"endLine":35,"sourceId":"gh-source-3a8b7182a7bb915f","locator":"Lines 35–35"}]},{"id":"scan-cef3a7c8af298432","title":"Scanned source fragment","original":"@returns {() => number} Generator yielding floats in [0, 1).","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Programming type annotation or callback signature.","sourceRefs":[{"startLine":17,"endLine":17,"sourceId":"gh-source-7a13c63bc4c361a6","locator":"Lines 17–17"}]},{"id":"scan-1df4d0e2f8fa24a2","title":"Scanned source fragment","original":"@param {() => number} rng","classification":"rejected","occurrenceCount":3,"equationIds":[],"reason":"Programming type annotation or callback signature.","sourceRefs":[{"startLine":49,"endLine":49,"sourceId":"gh-source-7a13c63bc4c361a6","locator":"Lines 49–49"}]},{"id":"scan-1cf8ea19305bf9b8","title":"Scanned source fragment","original":"boost identity G(a) = G(a+1) * U^(1/a).","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-50d3d28f6cd3ced7"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":65,"endLine":65,"sourceId":"gh-source-7a13c63bc4c361a6"}]},{"id":"scan-1b983954e1cf2482","title":"Scanned source fragment","original":"X ~ G(a,1), Y ~ G(b,1) => X / (X + Y) ~ Beta(a, b)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-513c50dcc7add6ae"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":104,"endLine":104,"sourceId":"gh-source-7a13c63bc4c361a6"}]},{"id":"scan-62f9bcfbbe7b7f6a","title":"Scanned source fragment","original":"MMR = argmax [ lambda * score(c) - (1 - lambda) * max_sim(c, selected) ]","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-56c8cff94b93fb6c"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":31,"endLine":31,"sourceId":"gh-source-bc895630611e7a69"}]},{"id":"scan-c27698bf2243c2a1","title":"Scanned source fragment","original":"@param {() => number} rng Injected randomness.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Programming type annotation or callback signature.","sourceRefs":[{"startLine":102,"endLine":102,"sourceId":"gh-source-ea691335d94cf417","locator":"Lines 102–102"}]},{"id":"scan-b47e1f9d0fe5bd47","title":"Scanned source fragment","original":"@returns {() => number}","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Programming type annotation or callback signature.","sourceRefs":[{"startLine":151,"endLine":151,"sourceId":"gh-source-ea691335d94cf417","locator":"Lines 151–151"}]},{"id":"scan-4631c076d11a61fb","title":"Scanned source fragment","original":"@property {() => VisitorState | null} load","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Programming type annotation or callback signature.","sourceRefs":[{"startLine":62,"endLine":62,"sourceId":"gh-source-650d75990a6923ce","locator":"Lines 62–62"}]},{"id":"scan-751bd48699e83722","title":"Scanned source fragment","original":"@property {(s: VisitorState) => void} save","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Programming type annotation or callback signature.","sourceRefs":[{"startLine":63,"endLine":63,"sourceId":"gh-source-650d75990a6923ce","locator":"Lines 63–63"}]},{"id":"scan-73c1ffb20c3d1c0a","title":"Scanned source fragment","original":"@property {() => void} clear","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Programming type annotation or callback signature.","sourceRefs":[{"startLine":64,"endLine":64,"sourceId":"gh-source-650d75990a6923ce","locator":"Lines 64–64"}]},{"id":"scan-ad8ad5cb0e7f4d57","title":"Scanned source fragment","original":"ssh joseph@100.94.8.94 'PGURL=... goose -dir db/migrations postgres \"$PGURL\" status' # 0017 applied","classification":"rejected","occurrenceCount":3,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":102,"endLine":102,"sourceId":"gh-source-081f931b1b1e086a","locator":"Lines 102–102"}]},{"id":"scan-cc1458682cf32014","title":"Scanned source fragment","original":"ssh joseph@100.94.8.94 '/usr/local/bin/provision-tenant \\\n -admin-dsn \"host=/tmp user=postgres dbname=postgres sslmode=disable\" \\\n -name tenant_'","classification":"rejected","occurrenceCount":3,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":107,"endLine":109,"sourceId":"gh-source-081f931b1b1e086a","locator":"Lines 107–109"}]},{"id":"scan-3e5c173847aaf162","title":"Scanned source fragment","original":"ssh joseph@100.94.8.94 'PGURL=\"postgres://missionmatch_migrator:@127.0.0.1:5432/missionmatch?sslmode=disable\"; goose -dir db/migrations postgres \"$PGURL\" up'\nssh joseph@100.94.8.94 'PGURL=...; goose -dir db/migrations postgres \"$PGURL\" status' # head v19, 0019 applied","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":264,"endLine":265,"sourceId":"gh-source-081f931b1b1e086a","locator":"Lines 264–265"}]},{"id":"scan-980ff6ff8ca1f11f","title":"Scanned source fragment","original":"ssh joseph@100.94.8.94 'psql -U postgres -d missionmatch -v ON_ERROR_STOP=1 < s_total THEN RAISE EXCEPTION ''skills not fully embedded: %% of %%'', s_emb, s_total; END IF;\n IF c_emb <> c_total THEN RAISE EXCEPTION ''live candidates not fully embedded: %% of %%'', c_emb, c_total; END IF;\n IF w IS DISTINCT FROM 384 THEN RAISE EXCEPTION ''sampled vector width %% not 384'', w; END IF;\n RAISE NOTICE ''BACKFILL VERIFIED: skills %%/%%, live candidates %%/%%, width %%'', s_emb, s_total, c_emb, c_total, w;\nEND \\$\\$;\nSQL'","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":308,"endLine":321,"sourceId":"gh-source-081f931b1b1e086a","locator":"Lines 308–321"}]},{"id":"scan-4f976a2c9180d86a","title":"Scanned source fragment","original":"CGO_ENABLED=0 GOOS=linux GOARCH=amd64 GOFIPS140=v1.0.0 go build -trimpath -o /tmp/mm-api ./cmd/api\ngo version -m /tmp/mm-api | grep GOFIPS140 # must show GOFIPS140=v1.0.0\nscp /tmp/mm-api user@bubbles:/tmp/mm-api.new\nssh user@bubbles '\n sudo cp /home/user/missionmatch/mm-api /home/user/mm-api.bak.$(date +%s)\n sudo systemctl stop mm-api\n sudo cp /tmp/mm-api.new /home/user/missionmatch/mm-api && sudo chmod +x /home/user/missionmatch/mm-api\n sudo systemctl start mm-api && sleep 2 && systemctl is-active mm-api\n'","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":330,"endLine":338,"sourceId":"gh-source-081f931b1b1e086a","locator":"Lines 330–338"}]},{"id":"scan-2e1d746fe5c97232","title":"Scanned source fragment","original":"make build # mm-api, the sync jobs, and provision-org, all GOFIPS140=v1.0.0\nmake test # unit suite, no database\nmake ci-gates # the security gates: no X-Org-ID in the release binary, FIPS stamp present","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":12,"endLine":14,"sourceId":"gh-source-2ba6289777632934","locator":"Lines 12–14"}]},{"id":"scan-a315be4102b1443f","title":"Scanned source fragment","original":"MM_APP_DSN=postgres://missionmatch_app:...@100.94.8.94:5432/missionmatch?sslmode=require \\\nMM_MIGRATOR_DSN=postgres://missionmatch_migrator:...@100.94.8.94:5432/missionmatch?sslmode=require \\\nmake test-integration","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":58,"endLine":60,"sourceId":"gh-source-2ba6289777632934","locator":"Lines 58–60"}]},{"id":"scan-8836d414300f1e47","title":"Scanned source fragment","original":"Build and run FIPS validated: CGO_ENABLED=0 GOFIPS140=v1.0.0 go build, run with GODEBUG=fips140=on.","classification":"rejected","occurrenceCount":85,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":16,"endLine":16,"sourceId":"gh-source-c91be37081c622fb","locator":"Lines 16–16"}]},{"id":"scan-dcbcb095180b7e76","title":"Scanned source fragment","original":"not, so the operator log said total=0 while alerts were being written. A count that disagrees with","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Operator-log prose containing an example count.","sourceRefs":[{"startLine":113,"endLine":113,"sourceId":"gh-source-ad5ec9d13356f8f2","locator":"Lines 113–113"}]},{"id":"scan-43c8f8deb9a0ce7c","title":"Scanned source fragment","original":"`!= nil` guards skipped BOTH pings and fell through to 200. Readiness reported ready with every","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":518,"endLine":518,"sourceId":"gh-source-f8694a35410d40af","locator":"Lines 518–518"}]},{"id":"scan-95a899b545d6f40c","title":"Scanned source fragment","original":"Build and run FIPS validated: CGO_ENABLED=0 GOFIPS140=v1.0.0 go build.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":32,"endLine":32,"sourceId":"gh-source-40890573c40e7e75","locator":"Lines 32–32"}]},{"id":"scan-a063c66f2e263c90","title":"Scanned source fragment","original":"dsn = os.Getenv(\"MM_MIGRATOR_DATABASE_URL\")","classification":"rejected","occurrenceCount":8,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":46,"endLine":46,"sourceId":"gh-source-f77529541cbd7c80","locator":"Lines 46–46"}]},{"id":"scan-abce77dfbd62d522","title":"Scanned source fragment","original":"mega = os.Getenv(\"MM_MEGAMIND_URL\")","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":49,"endLine":49,"sourceId":"gh-source-f77529541cbd7c80","locator":"Lines 49–49"}]},{"id":"scan-0612be13227c4b47","title":"Scanned source fragment","original":"This binary is deliberately separate from the FIPS API. It still builds CGO_ENABLED=0 pure Go.","classification":"rejected","occurrenceCount":25,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":13,"endLine":13,"sourceId":"gh-source-c842a90fb7c59a32","locator":"Lines 13–13"}]},{"id":"scan-7dac7377d8f04ae2","title":"Scanned source fragment","original":"controlDSN = os.Getenv(\"MM_MIGRATOR_DATABASE_URL\")","classification":"rejected","occurrenceCount":3,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":76,"endLine":76,"sourceId":"gh-source-adaf2994ff1d2ef6","locator":"Lines 76–76"}]},{"id":"scan-e7756f8cc9155ab7","title":"Scanned source fragment","original":"concurrency = 1","classification":"rejected","occurrenceCount":4,"equationIds":[],"reason":"Migration-tool pointer setting; not a mathematical model parameter.","sourceRefs":[{"startLine":83,"endLine":83,"sourceId":"gh-source-adaf2994ff1d2ef6","locator":"Lines 83–83"}]},{"id":"scan-e6986189eabcd628","title":"Scanned source fragment","original":"row per (occupation_code, area='US', metric) into the global public bls_wages catalog. It is idempotent:","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":10,"endLine":10,"sourceId":"gh-source-bdc59b48b6ea5d4e","locator":"Lines 10–10"}]},{"id":"scan-a511f2e4669aec28","title":"Scanned source fragment","original":"The national rows carry area='US', area_name='United States', and an empty role (national data has no","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":14,"endLine":14,"sourceId":"gh-source-bdc59b48b6ea5d4e","locator":"Lines 14–14"}]},{"id":"scan-94bd4cfa114119b7","title":"Scanned source fragment","original":"the descriptive User Agent). Build and run FIPS validated: CGO_ENABLED=0 GOFIPS140=v1.0.0 go build, run","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":20,"endLine":20,"sourceId":"gh-source-bdc59b48b6ea5d4e","locator":"Lines 20–20"}]},{"id":"scan-6a7fb907d27154cf","title":"Scanned source fragment","original":"with GODEBUG=fips140=on.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":21,"endLine":21,"sourceId":"gh-source-bdc59b48b6ea5d4e","locator":"Lines 21–21"}]},{"id":"scan-f2ef0eab74387e0a","title":"Scanned source fragment","original":"Phase 4: upsert one national row per (occupation_code, area='US', metric). A series with No Data is","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":123,"endLine":123,"sourceId":"gh-source-bdc59b48b6ea5d4e","locator":"Lines 123–123"}]},{"id":"scan-41d0b5e2002292ae","title":"Scanned source fragment","original":"storeRoot = os.Getenv(\"MM_STORAGE_ROOT\")","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":88,"endLine":88,"sourceId":"gh-source-577b723eda64c685","locator":"Lines 88–88"}]},{"id":"scan-4d3a49c792c1d115","title":"Scanned source fragment","original":"- db/seed/cleared_skills.sql curated cleared workforce terms (source='curated') -- apply that","classification":"rejected","occurrenceCount":19,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":7,"endLine":7,"sourceId":"gh-source-921a626f6fafc112","locator":"Lines 7–7"}]},{"id":"scan-e4fef9303735be72","title":"Scanned source fragment","original":"- ontology_terms rows where term_kind='skill' and source_name='Corpus Mining'.","classification":"rejected","occurrenceCount":19,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":9,"endLine":9,"sourceId":"gh-source-921a626f6fafc112","locator":"Lines 9–9"}]},{"id":"scan-31b1cddd7f0224e9","title":"Scanned source fragment","original":"provision-tenant -admin-dsn \"postgres://postgres@host/postgres?sslmode=disable\" -name tenant_acme","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":17,"endLine":17,"sourceId":"gh-source-038f2d20229ace0c","locator":"Lines 17–17"}]},{"id":"scan-249e3bdfd747b029","title":"Scanned source fragment","original":"adminDSN = os.Getenv(\"MM_ADMIN_DSN\")","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":48,"endLine":48,"sourceId":"gh-source-038f2d20229ace0c","locator":"Lines 48–48"}]},{"id":"scan-31c97d3c7a3f28b6","title":"Scanned source fragment","original":"migratorDSN = os.Getenv(\"MM_MIGRATOR_DATABASE_URL\")","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":51,"endLine":51,"sourceId":"gh-source-038f2d20229ace0c","locator":"Lines 51–51"}]},{"id":"scan-878f94a0bc6ae17e","title":"Scanned source fragment","original":"pepperEnv = os.Getenv(\"MM_CREDENTIAL_PEPPER\")","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":39,"endLine":39,"sourceId":"gh-source-3fd138c60a728b77","locator":"Lines 39–39"}]},{"id":"scan-598f6ef47f16e5b8","title":"Scanned source fragment","original":"pageCap bounds a single NAICS pull (limit 1000 * 5 = up to 5000 notices/NAICS) so one run can never","classification":"accepted","occurrenceCount":36,"equationIds":["gh-eq-34eca251789c2de8","gh-eq-cce3d7c3f7d915f5","gh-eq-2c47a5e6cdf879a5","gh-eq-ad8f63f7b5d37224","gh-eq-45397cae2990b3fa","gh-eq-e2fd00530cbed737","gh-eq-ef8d3dd336bc904a","gh-eq-fb8b0fb14d148150","gh-eq-24ec1e46eb4502b0","gh-eq-800848366416e462","gh-eq-d7336b0a66377b0c","gh-eq-72032a0bc8093e71","gh-eq-908e296a637a5a9a","gh-eq-adc6af78fe890597","gh-eq-129d31d23e9e4f19","gh-eq-d6085d7867b61e40","gh-eq-62d1daf4b4f18a53","gh-eq-7ca4dfaaceab86ba","gh-eq-236f23ce4385b209","gh-eq-5bc1db6ddb157b84","gh-eq-2ede9657c2445adf","gh-eq-54687db620bb16ef","gh-eq-9d8aca5779d3852f","gh-eq-31628cf668732501","gh-eq-4bb6dd4fe28e5e88","gh-eq-a238914715f0536c","gh-eq-7013fea02b0df225","gh-eq-c18f38ee5bf6e532","gh-eq-992b67e1d7bf41dc","gh-eq-91190b87ce31a2f0","gh-eq-99063297d2db315a","gh-eq-2fbfaafba045de30","gh-eq-ea54698ae31d2749","gh-eq-a4b08ff6b5607516","gh-eq-1eb85f8788f449ed","gh-eq-30528aaa2aad1057"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":30,"endLine":30,"sourceId":"gh-source-f908ed3be8f01bfc"}]},{"id":"scan-baa773ddb777a094","title":"Scanned source fragment","original":"tenantDSN = os.Getenv(\"MM_TENANT_MIGRATOR_DSN\")","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":37,"endLine":37,"sourceId":"gh-source-c2c2f6dc74fdbeab","locator":"Lines 37–37"}]},{"id":"scan-d6a5b575f4dbaf9a","title":"Scanned source fragment","original":"dsn = os.Getenv(\"MM_APP_DATABASE_URL\")","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":26,"endLine":26,"sourceId":"gh-source-43439895bc979946","locator":"Lines 26–26"}]},{"id":"scan-660d45d472d11af0","title":"Scanned source fragment","original":"failed = true","classification":"rejected","occurrenceCount":38,"equationIds":[],"reason":"Simple object, field, pointer or label assignment with no mathematical operation.","sourceRefs":[{"startLine":56,"endLine":56,"sourceId":"gh-source-43439895bc979946","locator":"Lines 56–56"}]},{"id":"scan-b0a4e54a8f7dff95","title":"Scanned source fragment","original":"FREE FEDERAL SOURCES GLOBAL KNOWLEDGE LAYER (new, outside RLS)\n O*NET SOC skills ─┐ ┌─► skills (enriched: + mission_area, source, soc_code)\n GSA CALC labor rates ├─ ingest ┼─► skill_aliases (acronym and synonym to canonical skill)\n FPDS / USASpending ─┤ (Go ├─► skill_relationships (requires, substitutes_for, broader_than)\n SAM raw JSON / CLINs │ cmds) ├─► clearance_levels (compartments, poly, reciprocity)\n curated IC overlay ─┘ └─► mission_areas (SIGINT, GEOINT, Satellite C2, CDS, ...)\n │\n ▼\n DETERMINISTIC ENGINE (frozen weights)\n exact match → alias match → relationship credit → semantic ≥ 0.62\n │\n ▼\n BRAIN (retrieval + memory + faithfulness, narrates only)\n RRF hybrid + reranker, mission filtered, incumbent intelligence\n │\n ▼\n EVALUATION HARNESS ──► calibrates threshold, proves bands, four fifths\n ▲\n BOUNDED FEEDBACK LOOP ───┘ scrubbed reviewer outcomes become CURATION\n proposals for humans, never auto mutate scoring","classification":"rejected","occurrenceCount":3,"equationIds":[],"reason":"Reviewed as an object-pointer assignment, structural diagram, application/protocol prose or qualitative label mapping rather than a mathematical equation.","sourceRefs":[{"startLine":73,"endLine":92,"sourceId":"gh-source-384841fd05afa88c","locator":"Lines 73–92"}]},{"id":"scan-570f2dc8776e9149","title":"Scanned source fragment","original":"CGO_ENABLED=0 GOFIPS140=v1.0.0 go build -o bin/import-bench ./cmd/import-bench\nGODEBUG=fips140=on ./bin/import-bench ","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":27,"endLine":28,"sourceId":"gh-source-d5dedca8db643c79","locator":"Lines 27–28"}]},{"id":"scan-ece3d41f41be7271","title":"Scanned source fragment","original":"GODEBUG=fips140=on ./bin/import-bench \\\n -org \\\n -profiles /bench/roster.csv \\\n -resumes /bench/resumes \\\n -legal-basis \"client provided cleared bench, client is the data controller\" \\\n -dry-run","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":42,"endLine":47,"sourceId":"gh-source-d5dedca8db643c79","locator":"Lines 42–47"}]},{"id":"scan-a973226cd8f3642f","title":"Scanned source fragment","original":"GODEBUG=fips140=on ./bin/import-bench \\\n -org \\\n -profiles /bench/roster.csv \\\n -legal-basis \"client provided cleared bench, client is the data controller\" \\\n -size 25","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell invocation with environment settings, not a mathematical equation.","sourceRefs":[{"startLine":61,"endLine":65,"sourceId":"gh-source-d5dedca8db643c79","locator":"Lines 61–65"}]},{"id":"scan-67d59cbe49ec57e5","title":"Scanned source fragment","original":"GODEBUG=fips140=on ./bin/embed-backfill \\\n -what candidates \\\n -org \\\n -only-missing","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":117,"endLine":120,"sourceId":"gh-source-d5dedca8db643c79","locator":"Lines 117–120"}]},{"id":"scan-c392980c1a7e4fce","title":"Scanned source fragment","original":"m = r.raw","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Simple object, field, pointer or label assignment with no mathematical operation.","sourceRefs":[{"startLine":38,"endLine":38,"sourceId":"gh-source-f0643ddc4604f91b","locator":"Lines 38–38"}]},{"id":"scan-578cef08ef06d96c","title":"Scanned source fragment","original":"v = r.version","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Simple object, field, pointer or label assignment with no mathematical operation.","sourceRefs":[{"startLine":39,"endLine":39,"sourceId":"gh-source-f0643ddc4604f91b","locator":"Lines 39–39"}]},{"id":"scan-9cea13ae96f66783","title":"Scanned source fragment","original":"target = e","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Simple object, field, pointer or label assignment with no mathematical operation.","sourceRefs":[{"startLine":81,"endLine":81,"sourceId":"gh-source-294c22381e531b13","locator":"Lines 81–81"}]},{"id":"scan-975eae26bb8690da","title":"Scanned source fragment","original":"Run: go test -tags=integration ./internal/integration/ -run Alert -v","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":12,"endLine":12,"sourceId":"gh-source-348aab7145541968","locator":"Lines 12–12"}]},{"id":"scan-462cb5b45bf4477e","title":"Scanned source fragment","original":"Run: go test -tags=integration ./internal/integration/ -run BidOutcomes -v","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":10,"endLine":10,"sourceId":"gh-source-fcfa1c641165b2aa","locator":"Lines 10–10"}]},{"id":"scan-6473827100bbe119","title":"Scanned source fragment","original":"Run: go test -tags=integration ./internal/integration/ -run CaptureReadiness -v","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":11,"endLine":11,"sourceId":"gh-source-2b131396ab134982","locator":"Lines 11–11"}]},{"id":"scan-aac63ff2a26fdfc8","title":"Scanned source fragment","original":"0.35*0.5 + 0.30*0.667 + 0.20*0.2 + 0.15*0.3 = 0.46 => REVIEW. Assert the band is REVIEW.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c29a207eab11adfe"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":119,"endLine":119,"sourceId":"gh-source-2b131396ab134982"}]},{"id":"scan-c314189821dbbd7a","title":"Scanned source fragment","original":"Clearance levels: expected map of code => engine int value (the iota ordinal).","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":24,"endLine":24,"sourceId":"gh-source-393eec4df7d38d94","locator":"Lines 24–24"}]},{"id":"scan-05a311c4ee008c43","title":"Scanned source fragment","original":"Polygraph types: expected map of code => engine int value.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":72,"endLine":72,"sourceId":"gh-source-393eec4df7d38d94","locator":"Lines 72–72"}]},{"id":"scan-dd65d9b39abb722a","title":"Scanned source fragment","original":"Run: go test -tags=integration ./internal/integration/ -run Collision -v","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":10,"endLine":10,"sourceId":"gh-source-e219a82bc4fb122d","locator":"Lines 10–10"}]},{"id":"scan-d34d969f0bcbe9ff","title":"Scanned source fragment","original":"Run: go test -tags=integration ./internal/integration/ -run ConnectorICIMS -v","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":9,"endLine":9,"sourceId":"gh-source-d06674fe668c91a1","locator":"Lines 9–9"}]},{"id":"scan-78040e52bea4566f","title":"Scanned source fragment","original":"relocate to while still being available (50). 25 + 25 + 15 + 0 + 5 + 5 = 75.00.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c43a30985373b715"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":27,"endLine":27,"sourceId":"gh-source-35ea0d9a41b92607"}]},{"id":"scan-9224f1a244158369","title":"Scanned source fragment","original":"out = rows","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Simple object, field, pointer or label assignment with no mathematical operation.","sourceRefs":[{"startLine":109,"endLine":109,"sourceId":"gh-source-35ea0d9a41b92607","locator":"Lines 109–109"}]},{"id":"scan-6843dd97304b8ec2","title":"Scanned source fragment","original":"Female ratio = 0.25 / 1.0 = 0.25, below the 0.80 four fifths threshold, so it must be flagged.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-cb97f34fbd56995b"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":73,"endLine":73,"sourceId":"gh-source-6dd77c8e6bdb59aa"}]},{"id":"scan-5ed59fe342ed38f9","title":"Scanned source fragment","original":"The test asserts structural correctness (rates in [0,1], ratio = rate/max_known_rate, Flagged","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-9d55797b222058ef"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":18,"endLine":18,"sourceId":"gh-source-fdfca1a131527a23"}]},{"id":"scan-9d953623408ad3ae","title":"Scanned source fragment","original":"The approval pattern is deterministic: candidate index mod 3 != 0 is approved.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a3394dc7d3a6d8ab"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":105,"endLine":105,"sourceId":"gh-source-fdfca1a131527a23"}]},{"id":"scan-cdc08bb4faf8c9cf","title":"Scanned source fragment","original":"Candidates at position i%10 == 0 (indices 0, 10, 20 ...) receive NO demographics row.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d4cf21c638df87f3"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":169,"endLine":169,"sourceId":"gh-source-fdfca1a131527a23"}]},{"id":"scan-8f3e8925d27e6613","title":"Scanned source fragment","original":"All other candidates receive a consent_given=true row via the compliance pool inside","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":171,"endLine":171,"sourceId":"gh-source-fdfca1a131527a23","locator":"Lines 171–171"}]},{"id":"scan-d815eb96bd04986c","title":"Scanned source fragment","original":"no demographics row. So among candidates who have demographics (i%10 != 0):","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-ce1e514db21363f8"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":273,"endLine":273,"sourceId":"gh-source-fdfca1a131527a23"}]},{"id":"scan-905b2622b1961d65","title":"Scanned source fragment","original":"male: positions 3,5,8,9 of each 10 block. Even: 8. Count per 10 = 4 from {3,5,8,9}.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6be51c2c0912c9ad"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":274,"endLine":274,"sourceId":"gh-source-fdfca1a131527a23"}]},{"id":"scan-343e655b45eca65c","title":"Scanned source fragment","original":"Among those, even (screened in): 8 is even. So male screened = varies.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":275,"endLine":275,"sourceId":"gh-source-fdfca1a131527a23","locator":"Lines 275–275"}]},{"id":"scan-819a226f43bebadb","title":"Scanned source fragment","original":"impact ratio (i.e., the reference group count >= 2 so ratios are not all \"n/a\").","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a876fe46a505c2d6"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":320,"endLine":320,"sourceId":"gh-source-fdfca1a131527a23"}]},{"id":"scan-8da63979a3c96585","title":"Scanned source fragment","original":"Female ratio = 0.70 / 0.80 = 0.875, ABOVE the 0.80 threshold, so the first snapshot does not flag.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-e16351d96eb66cc0"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":63,"endLine":63,"sourceId":"gh-source-19f509edbaea1595"}]},{"id":"scan-08826cfb9ac6b056","title":"Scanned source fragment","original":"approved 7 of 22 (7 from batch 1 plus 0 of 12 new), rate 0.318, ratio 0.318 / 0.80 = 0.398, BELOW","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d8635832b0a2e888"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":94,"endLine":94,"sourceId":"gh-source-19f509edbaea1595"}]},{"id":"scan-4ae85fa616ac0b7d","title":"Scanned source fragment","original":"holds = k+2 (a published worthy count), lacks = 3 (sub k). In a two bucket partition the sub k cell","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-7e1e388076d87e3a"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":29,"endLine":29,"sourceId":"gh-source-93a6623619a1ba9d"}]},{"id":"scan-b16406c2a4621b5f","title":"Scanned source fragment","original":"suppressing executor would render headcount=3 or headcount=12; neither may be present.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":59,"endLine":59,"sourceId":"gh-source-93a6623619a1ba9d","locator":"Lines 59–59"}]},{"id":"scan-e8d69f712eff272f","title":"Scanned source fragment","original":"federal_ref = source_record_id. It is the only honest place the segment naics comes from.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":30,"endLine":30,"sourceId":"gh-source-2b157947b80cca25","locator":"Lines 30–30"}]},{"id":"scan-3def6832a31a1a98","title":"Scanned source fragment","original":"The deep node at depth 3 carries the product of the three edge strengths (0.90 * 0.80 * 0.70 = 0.504),","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-4ccebae9fa2b26c6"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":112,"endLine":112,"sourceId":"gh-source-2413f179c923efb5"}]},{"id":"scan-91d1e88d70b14e4f","title":"Scanned source fragment","original":"Run: go test -tags=integration ./internal/integration/ -run MAGReranker -v","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":17,"endLine":17,"sourceId":"gh-source-139970f2845569d8","locator":"Lines 17–17"}]},{"id":"scan-20f86be01d6da00d","title":"Scanned source fragment","original":"Run: go test -tags=integration ./internal/integration/ -run MAGRerankerLive -v","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":9,"endLine":9,"sourceId":"gh-source-01eeebf527f13c90","locator":"Lines 9–9"}]},{"id":"scan-f51e2dcdbcbf1c37","title":"Scanned source fragment","original":"Run: go test -tags=integration ./internal/integration/ -run MAGTimeToFill -v","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":11,"endLine":11,"sourceId":"gh-source-42c49481d187eaab","locator":"Lines 11–11"}]},{"id":"scan-7bb4f2b7bc6922d5","title":"Scanned source fragment","original":"Run: go test -tags=integration ./internal/integration/ -run MAGLearningLoop -v","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":14,"endLine":14,"sourceId":"gh-source-b42856ff3a40288b","locator":"Lines 14–14"}]},{"id":"scan-6b3c21137a091c22","title":"Scanned source fragment","original":"Run: go test -tags=integration ./internal/integration/ -run MAGWinProbability -v","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":12,"endLine":12,"sourceId":"gh-source-6bfbeb75585bc134","locator":"Lines 12–12"}]},{"id":"scan-70bceaaee8323ffe","title":"Scanned source fragment","original":"One open requirement (no opportunity link => treated as open) so Mode A has something to rank.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":92,"endLine":92,"sourceId":"gh-source-dc023ac2fcbf1899","locator":"Lines 92–92"}]},{"id":"scan-b315d03668cd3e2d","title":"Scanned source fragment","original":"area='US' rows) binds THIS occupation unambiguously as the longest match, immune to what parallel tests","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":26,"endLine":26,"sourceId":"gh-source-8dd9d6dd3c9f67ee","locator":"Lines 26–26"}]},{"id":"scan-598e93f37ee49889","title":"Scanned source fragment","original":"Seed the two national rows (area='US', role=''), both metrics, plus an UNRELATED Hawaii state row so the","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":31,"endLine":31,"sourceId":"gh-source-8dd9d6dd3c9f67ee","locator":"Lines 31–31"}]},{"id":"scan-08c7df75d8228269","title":"Scanned source fragment","original":"fresh org (the candidates rows carry organization_id = org; the search runs in the same org context).","classification":"rejected","occurrenceCount":12,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":139,"endLine":139,"sourceId":"gh-source-494b4cbaa5f95389","locator":"Lines 139–139"}]},{"id":"scan-4902eb7fb04a86ee","title":"Scanned source fragment","original":"meanRecall@10 >= 0.8: a healthy search recalls nearly every relevant id within the top ten of a twelve","classification":"accepted","occurrenceCount":12,"equationIds":["gh-eq-509a55cf962efd30","gh-eq-659ad728bac1da71","gh-eq-e9b5cd0ba84eeffc","gh-eq-1ea525bea5915d13","gh-eq-44d12fc6e90fb2c4","gh-eq-9f1b82d53b8e4b74","gh-eq-b4e39655b81226bb","gh-eq-7c47795b5cf0ee3e","gh-eq-92bc4c4e0214cca7","gh-eq-0679f6f13d82c6cd","gh-eq-ed8ebee16961b497","gh-eq-1b64dce0d6670519"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":226,"endLine":226,"sourceId":"gh-source-494b4cbaa5f95389"}]},{"id":"scan-8e1439747058ecf6","title":"Scanned source fragment","original":"meanMRR >= 0.5: a healthy search puts a relevant candidate in the top two on average (rank one is 1.0,","classification":"accepted","occurrenceCount":12,"equationIds":["gh-eq-22500e36458003e8","gh-eq-2daa7a5ab7213bd5","gh-eq-80c4b134c539d9f7","gh-eq-eade00ecd751216d","gh-eq-b8468edcfa8eae40","gh-eq-f7a20341f472d46f","gh-eq-2ccf6b15433319e6","gh-eq-852de307b4abb02c","gh-eq-faa124b39af1bdce","gh-eq-745f9efd30511695","gh-eq-fb366d00526fa87d","gh-eq-1dc1d7e9debfd8d9"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":232,"endLine":232,"sourceId":"gh-source-494b4cbaa5f95389"}]},{"id":"scan-4502b338ee98306a","title":"Scanned source fragment","original":"meanNDCG@10 >= 0.6: nDCG rewards ranking the relevant ids high, not merely present. 0.6 is a conservative","classification":"accepted","occurrenceCount":12,"equationIds":["gh-eq-33ac075656f7db5a","gh-eq-7cca59a2a21aa4a5","gh-eq-4a1b82e1f588ee0f","gh-eq-6c11ec46eb990589","gh-eq-a1a8d55a34c9c8f2","gh-eq-eb8fda1972fc4c55","gh-eq-32a0e8a4a4fed701","gh-eq-45469178ce24ca03","gh-eq-286295651bdfabc1","gh-eq-cdb1bfea96c91f3c","gh-eq-89298e619cf6dc16","gh-eq-d38c5f01030d9597"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":237,"endLine":237,"sourceId":"gh-source-494b4cbaa5f95389"}]},{"id":"scan-aa81e7c5bd71f7e9","title":"Scanned source fragment","original":"Run: go test -tags=integration ./internal/integration/ -v","classification":"rejected","occurrenceCount":21,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":8,"endLine":8,"sourceId":"gh-source-dddfe30f22ce05c4","locator":"Lines 8–8"}]},{"id":"scan-ac581009c9dac9d9","title":"Scanned source fragment","original":"App role, NO tenant transaction => GUC unset => current_setting is NULL => policy denies => 0 rows.","classification":"rejected","occurrenceCount":21,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":140,"endLine":140,"sourceId":"gh-source-dddfe30f22ce05c4","locator":"Lines 140–140"}]},{"id":"scan-3597ec47ea0798cc","title":"Scanned source fragment","original":"As org A, try to attach a skill row (org=A) to org B's candidate. RLS WITH CHECK passes (row","classification":"rejected","occurrenceCount":21,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":160,"endLine":160,"sourceId":"gh-source-dddfe30f22ce05c4","locator":"Lines 160–160"}]},{"id":"scan-e94279599804abf0","title":"Scanned source fragment","original":"org == session org), but the COMPOSITE FK (organization_id, candidate_id) -> candidates has no","classification":"rejected","occurrenceCount":21,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":161,"endLine":161,"sourceId":"gh-source-dddfe30f22ce05c4","locator":"Lines 161–161"}]},{"id":"scan-1c3694e3c7e06eba","title":"Scanned source fragment","original":"Requirement with nothing required => every component scores 100 => total exactly 100.","classification":"accepted","occurrenceCount":21,"equationIds":["gh-eq-513152b2a24e7162","gh-eq-df5dd28e4ded86e2","gh-eq-6b22db629e586f37","gh-eq-dbdec7dded32e319","gh-eq-e907a720878cefaf","gh-eq-14e83b6640d79fa7","gh-eq-eb1b8b15987fa06d","gh-eq-bb0946db97f2afda","gh-eq-648a7f70f7b05b02","gh-eq-ce838c870352856e","gh-eq-fa6e03d44aa9d2b2","gh-eq-7c57293c17d9edd6","gh-eq-bf61953fbd3eedd0","gh-eq-4602c209f8dacfa0","gh-eq-16349bb91e9d337f","gh-eq-f2357321173d230c","gh-eq-f85ca9da2314726c","gh-eq-023f250c5c40705f","gh-eq-51fbcc6194338317","gh-eq-4340f5e1a2919f90","gh-eq-1ee75612c314b338"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":175,"endLine":175,"sourceId":"gh-source-dddfe30f22ce05c4"}]},{"id":"scan-9774515aea983937","title":"Scanned source fragment","original":"App role has no UPDATE/DELETE grant on audit_logs => permission denied (42501).","classification":"rejected","occurrenceCount":21,"equationIds":[],"reason":"Reviewed as an object-pointer assignment, structural diagram, application/protocol prose or qualitative label mapping rather than a mathematical equation.","sourceRefs":[{"startLine":219,"endLine":219,"sourceId":"gh-source-dddfe30f22ce05c4","locator":"Lines 219–219"}]},{"id":"scan-108c5a8edb2b9aca","title":"Scanned source fragment","original":"Run: go test -tags=integration ./internal/integration/ -run Vendor -v","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":11,"endLine":11,"sourceId":"gh-source-63c52510021cda4f","locator":"Lines 11–11"}]},{"id":"scan-4c8142012e181100","title":"Scanned source fragment","original":"performance_score = fill 0.5*0.35 + quality(neutral 0.5)*0.30 + speed(~1.0)*0.20 + interview 0.75*0.15","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-1aa4a9362ae7ef1c"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":154,"endLine":154,"sourceId":"gh-source-63c52510021cda4f"}]},{"id":"scan-efb52ec9bc37976b","title":"Scanned source fragment","original":"= 0.175 + 0.15 + 0.20 + 0.1125 = 0.6375 (speed ~1.0 since submitted ~ requirement created).","classification":"rejected","occurrenceCount":1,"equationIds":["gh-eq-51616320ed3c4b16"],"reason":"Continuation fragment replaced by a complete exact adjacent source-comment span.","sourceRefs":[{"startLine":155,"endLine":155,"sourceId":"gh-source-63c52510021cda4f","locator":"Lines 155–155"}]},{"id":"scan-b14e25fb8dcb0b9a","title":"Scanned source fragment","original":"every factor at 1.0 and the weights summing to one => the score is exactly 1.0 (no sigmoid distortion).","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f8f24b1e1f67028b"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":21,"endLine":21,"sourceId":"gh-source-f4fca8df582118fd"}]},{"id":"scan-11d2c032bf1395bf","title":"Scanned source fragment","original":"= 0.35*0.8 + 0.30*0.5 + 0.20*1.0 + 0.15*0.0 = 0.28 + 0.15 + 0.20 + 0 = 0.63","classification":"rejected","occurrenceCount":1,"equationIds":["gh-eq-f5696d1e1ef45404"],"reason":"Continuation fragment replaced by a complete exact adjacent source-comment span.","sourceRefs":[{"startLine":36,"endLine":36,"sourceId":"gh-source-f4fca8df582118fd","locator":"Lines 36–36"}]},{"id":"scan-16accce4988966f4","title":"Scanned source fragment","original":"codes, and the scalar array membership predicate (= ANY) keeps only the rows of the global","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":69,"endLine":69,"sourceId":"gh-source-c6ddd4ca147fea6a","locator":"Lines 69–69"}]},{"id":"scan-79e10d1410cc955d","title":"Scanned source fragment","original":"The honesty mandate is enforced: the award side keys only on (awarding_agency = o.agency, naics_code =","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":145,"endLine":145,"sourceId":"gh-source-3de8c4b52f786997","locator":"Lines 145–145"}]},{"id":"scan-b073dd4b1ee5e953","title":"Scanned source fragment","original":"nationalOccupations reads the distinct national OEWS occupations (area = 'US') from the global public","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":146,"endLine":146,"sourceId":"gh-source-4f9a9969b5620ffb","locator":"Lines 146–146"}]},{"id":"scan-c03ae46daf89443b","title":"Scanned source fragment","original":"Fall back to the US national band (area = 'US'). This is the M5 Phase 1 broadening: any resolvable SOC","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Geographic string filter inside explanatory prose.","sourceRefs":[{"startLine":369,"endLine":369,"sourceId":"gh-source-4f9a9969b5620ffb","locator":"Lines 369–369"}]},{"id":"scan-0185e53933c9d475","title":"Scanned source fragment","original":"log odds = intercept + SUM(coefficient_j * feature_j) in decimal, applies the logistic (a single isolated","classification":"accepted","occurrenceCount":9,"equationIds":["gh-eq-a7c7baf86b59dfab","gh-eq-eec2f6c3c52c7e88","gh-eq-db75c7e1b10366a6","gh-eq-508a318ad775b84c","gh-eq-d0bcf50495e5d413","gh-eq-e5f68c83aab5a756","gh-eq-d8e980cddbc58c57","gh-eq-a63bd5c2d8fac45e","gh-eq-42695d621134bd56"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":16,"endLine":16,"sourceId":"gh-source-9d9499af2affce79"}]},{"id":"scan-377ac4b0c34cf443","title":"Scanned source fragment","original":"fixed champion, a fixed feature vector, and no DB. It computes log odds = intercept + SUM(coefficient_j *","classification":"rejected","occurrenceCount":9,"equationIds":["gh-eq-48b8db92e4390604","gh-eq-4809c4ef6649b0fa","gh-eq-7406e471c3f1f21f","gh-eq-d9fe00d1d7aa916e","gh-eq-319054d06afff045","gh-eq-cf9e7fb08a13483c","gh-eq-eb80eb0d4e3934ff","gh-eq-734e0e31f289d1c4","gh-eq-1369680b49626a74"],"reason":"Continuation fragment replaced by a complete exact adjacent source-comment span.","sourceRefs":[{"startLine":249,"endLine":249,"sourceId":"gh-source-9d9499af2affce79","locator":"Lines 249–249"}]},{"id":"scan-f8eb3e485a87de1d","title":"Scanned source fragment","original":"An invalid (NULL) or non finite numeric is an honest ok false; a finite one is value = Int * 10^Exp.","classification":"accepted","occurrenceCount":9,"equationIds":["gh-eq-c8a01285dfd2dde6","gh-eq-f504a3644b2d3f7b","gh-eq-cba696ba20de6d43","gh-eq-8e532363fdc616ef","gh-eq-73b34ca1509057b6","gh-eq-5abb7545bcb921eb","gh-eq-c3c9c0c9e8862aa6","gh-eq-a07f4278b87fe1f2","gh-eq-a3094ec724f5cbac"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":507,"endLine":507,"sourceId":"gh-source-9d9499af2affce79"}]},{"id":"scan-248b77e31eff0fcb","title":"Scanned source fragment","original":"The log odds is intercept + 0.5 * 0.4 = 0.4054651081 + 0.20 = 0.6054651081.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5cf3fdffc4cea4c0"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":198,"endLine":198,"sourceId":"gh-source-2f209095ba40471b"}]},{"id":"scan-be15b1182e369e44","title":"Scanned source fragment","original":"The trace: the intercept term (value 1, coefficient and contribution = intercept) plus the feature term","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-302b39c780bca8ba"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":199,"endLine":199,"sourceId":"gh-source-2f209095ba40471b"}]},{"id":"scan-ee5097199537b000","title":"Scanned source fragment","original":"sigmoid(0.6054651081) = 1 / (1 + e^-0.6054651081). e^-0.6054651081 approx 0.54580, so p approx 0.64695.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-7bde337e8b3c7e26"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":233,"endLine":233,"sourceId":"gh-source-2f209095ba40471b"}]},{"id":"scan-cde4a18971cf97fd","title":"Scanned source fragment","original":"The base rate is sigmoid(logit(0.60)) = 0.60. Allow a small rounding tolerance.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-87cc694b1a320b9b"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":258,"endLine":258,"sourceId":"gh-source-2f209095ba40471b"}]},{"id":"scan-0a2bfe66b12755e7","title":"Scanned source fragment","original":"MATERIALIZED two arm fusion with k=60 the candidate query uses.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-09ad15b547e82281"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":163,"endLine":163,"sourceId":"gh-source-6b86d93a41d7bb34"}]},{"id":"scan-e06182b6317fbc71","title":"Scanned source fragment","original":"vendor_quality_distribution BENCH intent joins them to the frozen candidate_evaluations band and is k=10","classification":"accepted","occurrenceCount":3,"equationIds":["gh-eq-1f2911731b5f0a3c","gh-eq-80ae01a5a21fa89c","gh-eq-21da0827399f9e29"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":174,"endLine":174,"sourceId":"gh-source-5c678f0316e071c7"}]},{"id":"scan-c2be2fe8cfca7119","title":"Scanned source fragment","original":"2026-06-30 de identification research (NIST SP 800-188, FCSM WP22, l diversity, NYC LL144): k = 10 is","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-99477f929cb43544"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":13,"endLine":13,"sourceId":"gh-source-9a1770dcb3efa137"}]},{"id":"scan-f5f5a5e508fe1170","title":"Scanned source fragment","original":"vendor_quality_distribution is a BENCH intent (person derived headcount partition, k=10 small cell","classification":"accepted","occurrenceCount":4,"equationIds":["gh-eq-4bd497ea7807d655","gh-eq-e82e5f1ff3439639","gh-eq-8d787dfbf5f67bea","gh-eq-d1af972153109681"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":524,"endLine":524,"sourceId":"gh-source-f816e51a5b5b8155"}]},{"id":"scan-0edf82159a5938bb","title":"Scanned source fragment","original":"no clearance required (none) with score 0 => not a gap (engine passes everyone), folds nothing","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-2ce561c3139fe827"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":112,"endLine":112,"sourceId":"gh-source-ae49be794d50290c"}]},{"id":"scan-6e58e624aed2435b","title":"Scanned source fragment","original":"- vendor_quality_distribution: a BENCH intent, k=10 small cell suppressed. Per vendor, the headcount of its","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-018a36b08a8c140d"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":18,"endLine":18,"sourceId":"gh-source-6e30348829e843c9"}]},{"id":"scan-593b139477e3ed63","title":"Scanned source fragment","original":"IntentVendorQualityDistribution is the registered name of the k=10 suppressed vendor quality distribution (a","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-13a89a42a3f9cc00"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":40,"endLine":40,"sourceId":"gh-source-6e30348829e843c9"}]},{"id":"scan-8afe379e2b5f3f25","title":"Scanned source fragment","original":"(evaluated_candidates >= 10), else NULL. The floor counts PEOPLE, not submissions, so a handful of people","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0aec2ed889eb15fe"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":136,"endLine":136,"sourceId":"gh-source-f649bc41ca5ea6cb"}]},{"id":"scan-93ef7d3d8296def5","title":"Scanned source fragment","original":"cookie is Secure, Path=/, and has no Domain, so it cannot be planted by a sibling subdomain. The","classification":"rejected","occurrenceCount":36,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":16,"endLine":16,"sourceId":"gh-source-65e901efddd6e3ae","locator":"Lines 16–16"}]},{"id":"scan-4d9e764f90fe16ae","title":"Scanned source fragment","original":"goes through the authenticated admin ResetMFA path. The database WHERE status = 'pending' guard","classification":"rejected","occurrenceCount":36,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":240,"endLine":240,"sourceId":"gh-source-52968f8a419bad18","locator":"Lines 240–240"}]},{"id":"scan-d1c75d9f0888407e","title":"Scanned source fragment","original":"p = r.values[r.i-1]","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":58,"endLine":58,"sourceId":"gh-source-2c052ff79aa07e30","locator":"Lines 58–58"}]},{"id":"scan-da0c32cac16c865d","title":"Scanned source fragment","original":"p = count","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Simple object, field, pointer or label assignment with no mathematical operation.","sourceRefs":[{"startLine":154,"endLine":154,"sourceId":"gh-source-2c052ff79aa07e30","locator":"Lines 154–154"}]},{"id":"scan-8d59690142b385a4","title":"Scanned source fragment","original":"p = 37","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Reviewed as an object-pointer assignment, structural diagram, application/protocol prose or qualitative label mapping rather than a mathematical equation.","sourceRefs":[{"startLine":195,"endLine":195,"sourceId":"gh-source-2c052ff79aa07e30","locator":"Lines 195–195"}]},{"id":"scan-c5abb13ea828cafd","title":"Scanned source fragment","original":"(dest[0].(*uuid.UUID)) = target","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Simple object, field, pointer or label assignment with no mathematical operation.","sourceRefs":[{"startLine":224,"endLine":224,"sourceId":"gh-source-2c052ff79aa07e30","locator":"Lines 224–224"}]},{"id":"scan-9da3ce6b034d1916","title":"Scanned source fragment","original":"(dest[1].(*string)) = \"user@example.gov\"","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Simple object, field, pointer or label assignment with no mathematical operation.","sourceRefs":[{"startLine":225,"endLine":225,"sourceId":"gh-source-2c052ff79aa07e30","locator":"Lines 225–225"}]},{"id":"scan-f6d9c424618bb825","title":"Scanned source fragment","original":"(dest[2].(*string)) = string(security.RoleMember)","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":226,"endLine":226,"sourceId":"gh-source-2c052ff79aa07e30","locator":"Lines 226–226"}]},{"id":"scan-e1d4716371262d7a","title":"Scanned source fragment","original":"(dest[3].(*string)) = \"active\"","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Simple object, field, pointer or label assignment with no mathematical operation.","sourceRefs":[{"startLine":227,"endLine":227,"sourceId":"gh-source-2c052ff79aa07e30","locator":"Lines 227–227"}]},{"id":"scan-db6ce6934afa900d","title":"Scanned source fragment","original":"(dest[0].(*uuid.UUID)) = uuid.New()","classification":"rejected","occurrenceCount":4,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":279,"endLine":279,"sourceId":"gh-source-2c052ff79aa07e30","locator":"Lines 279–279"}]},{"id":"scan-942aa65bc782bb10","title":"Scanned source fragment","original":"1234567.89 + 2000000.10 = 3234567.99 exactly; float64 addition would drift off the last cent.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a5f041e4daa002c7"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":104,"endLine":104,"sourceId":"gh-source-6d1b55e4ba4ca69e"}]},{"id":"scan-2112ba9ba9ed950f","title":"Scanned source fragment","original":"demandedTotal = 20, gap unmet = 5 => 25.00 points of overall coverage.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3b6320295ec58066"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":153,"endLine":153,"sourceId":"gh-source-6d1b55e4ba4ca69e"}]},{"id":"scan-c98d54d4483158af","title":"Scanned source fragment","original":"Rounding: unmet 1 of demanded 3 => 33.33.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-39bd4f04e81428f8"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":168,"endLine":168,"sourceId":"gh-source-6d1b55e4ba4ca69e"}]},{"id":"scan-20b3e15d5c05ca62","title":"Scanned source fragment","original":"WCC composite weights (DISTINCT from the engine's per-candidate weights). Sum == 1.00 (tested).","classification":"accepted","occurrenceCount":35,"equationIds":["gh-eq-e057ebb60b64e282","gh-eq-d007a887603a06cb","gh-eq-fa5da0db31115dca","gh-eq-4d751442ac10fa6a","gh-eq-5c1e3b0ca71048a2","gh-eq-1e505d1ea3a7f94d","gh-eq-53416362bcfcef65","gh-eq-76013c42a34e6608","gh-eq-5936f79382d97a85","gh-eq-d13c671cc3df3294","gh-eq-e529e2d613f3b10c","gh-eq-07e69b23e3f3c9a0","gh-eq-091fcbe8a8531383","gh-eq-deae96f08315e88b","gh-eq-004c457023f32b24","gh-eq-703133402384cf3a","gh-eq-251375a55b192343","gh-eq-28759fc5a189b049","gh-eq-91de83a26207d18c","gh-eq-2d734dc734b3414f","gh-eq-73d9e3902caa448e","gh-eq-bd5440b933cdd294","gh-eq-d5d71893c4bde7c4","gh-eq-a7c27afc32ea7228","gh-eq-a6d88db12c79d91b","gh-eq-81132124c88afd6a","gh-eq-e6e746de6c840026","gh-eq-7a98873b57176bcc","gh-eq-92003941da6d64a4","gh-eq-0d905900d5b9bef8","gh-eq-36b88f7fd06d6070","gh-eq-93d6351c9fd039f2","gh-eq-897e55678ec8b8bb","gh-eq-75abe9e81281feb5","gh-eq-b4dd028da299da96"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":31,"endLine":31,"sourceId":"gh-source-9ad94c0f14e3346f"}]},{"id":"scan-0a586f15e37329f1","title":"Scanned source fragment","original":"Proposal-ready = green slate members on slates tied to an OPEN (or standalone) opportunity,","classification":"rejected","occurrenceCount":35,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":167,"endLine":167,"sourceId":"gh-source-9ad94c0f14e3346f","locator":"Lines 167–167"}]},{"id":"scan-3b00f6637c8bd2ed","title":"Scanned source fragment","original":"+ required level. Banner staffing_gaps == sum of these (incl Uncategorized) so they reconcile [COV-3].","classification":"accepted","occurrenceCount":2,"equationIds":["gh-eq-cc1c571029bde326","gh-eq-99c69a0a806dfc22"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":226,"endLine":226,"sourceId":"gh-source-5ecec7004c60f626"}]},{"id":"scan-a4c62ec1b5ca688b","title":"Scanned source fragment","original":"drivers computes the four \"inventory coverage\" drivers (a requirement is COVERED iff >=1 qualified","classification":"accepted","occurrenceCount":6,"equationIds":["gh-eq-b59f3b43bbb49586","gh-eq-26a5824e0e1cfce1","gh-eq-4234449dcf0ef5cf","gh-eq-00b9934cc92c00d7","gh-eq-c9cec893fb7dfbd9","gh-eq-db8d3c2bbd31fda7"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":70,"endLine":70,"sourceId":"gh-source-d1605a95f86f64bb"}]},{"id":"scan-d3510b9687ca360a","title":"Scanned source fragment","original":"male 8/10 (rate 0.80), female 4/10 (rate 0.40). Female ratio = 0.40/0.80 = 0.50, below 0.80, so","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-ea511506a33ab403"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":29,"endLine":29,"sourceId":"gh-source-ed8efe0d0835ac11"}]},{"id":"scan-4d0f4c6ef62f231f","title":"Scanned source fragment","original":"male 8/10 (0.80), female 7/10 (0.70). Ratio 0.70/0.80 = 0.875, at or above 0.80, not flagged.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-541fe5f366df0923"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":50,"endLine":50,"sourceId":"gh-source-ed8efe0d0835ac11"}]},{"id":"scan-7187daaaeb725b2d","title":"Scanned source fragment","original":"as of day is still effective, matching the Command Center's `clearance_expires_at >= as_of::date`","classification":"rejected","occurrenceCount":29,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":104,"endLine":104,"sourceId":"gh-source-0643183f6fee2de0","locator":"Lines 104–104"}]},{"id":"scan-d28e51a1b2e09f32","title":"Scanned source fragment","original":"asOf carries a wall-clock time (mimics s.clock()=time.Now()). A clearance expiring on the SAME","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":66,"endLine":66,"sourceId":"gh-source-e589b666b3574b46","locator":"Lines 66–66"}]},{"id":"scan-6b7bef4c636de170","title":"Scanned source fragment","original":"civil day must stay Active so this agrees with the WCC's `>= as_of::date` boundary [ENGINE-1/2].","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":67,"endLine":67,"sourceId":"gh-source-e589b666b3574b46","locator":"Lines 67–67"}]},{"id":"scan-6d49e6ac7726ab62","title":"Scanned source fragment","original":"Band cut points (CLAUDE.md): Green >= 90, Yellow 75–89.99, Red < 75. Inclusive lower bounds.","classification":"accepted","occurrenceCount":35,"equationIds":["gh-eq-fd8e68d6216ac63e","gh-eq-81815e9fd8895996","gh-eq-f2009762099f1b6f","gh-eq-0cd45dda24e1e1ea","gh-eq-64b4ac988ed298e9","gh-eq-f6bdb0a93594dbbc","gh-eq-e1200ee7431cb2c9","gh-eq-5820f35a9eb2cf21","gh-eq-7b56a8dc4534588e","gh-eq-3de2329d8ac004c0","gh-eq-cb3f78113fb5adbe","gh-eq-1ffe5a7e86750077","gh-eq-efdbfda4aba3abcb","gh-eq-45cf96926a0299af","gh-eq-85eaf73b9d5bad5b","gh-eq-129977f1e62e6516","gh-eq-417d06f1c049aa41","gh-eq-6b9612fde392c9f2","gh-eq-e04a82306d204b44","gh-eq-f119728b7ab7e408","gh-eq-629110d16c515379","gh-eq-af252281b0609304","gh-eq-bb1b288a5ecef539","gh-eq-7563e59a253ed7f1","gh-eq-0f88a9f8886c28d1","gh-eq-a31564a4898bb5e9","gh-eq-777fd88f6686a9d0","gh-eq-de2bd88561b3e8f7","gh-eq-1e9a1da8ec1e532f","gh-eq-d932e937ff2a6519","gh-eq-50824bcb269530df","gh-eq-e2ef03c4ee0cfe1c","gh-eq-2e6be9a60c0c5edb","gh-eq-2a29bcf43a80ef4e","gh-eq-b67daaa58762a977"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":49,"endLine":49,"sourceId":"gh-source-273589b79c1a840b"}]},{"id":"scan-7f88aa410e8d9b62","title":"Scanned source fragment","original":"injected semantic matcher. It always returns a SkillMatch row (Matched=false when nothing met).","classification":"rejected","occurrenceCount":35,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":237,"endLine":237,"sourceId":"gh-source-273589b79c1a840b","locator":"Lines 237–237"}]},{"id":"scan-dde97b7ccf1698fd","title":"Scanned source fragment","original":"SkillMatch entry with Matched==true. It matches by RequiredSkillID when set, else by","classification":"rejected","occurrenceCount":16,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":412,"endLine":412,"sourceId":"gh-source-273589b79c1a840b","locator":"Lines 412–412"}]},{"id":"scan-4a9e92a689cf1ff8","title":"Scanned source fragment","original":"Build a lookup from the matched slice: id (when non-empty) and name (lowercased) => matched.","classification":"rejected","occurrenceCount":16,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":415,"endLine":415,"sourceId":"gh-source-273589b79c1a840b","locator":"Lines 415–415"}]},{"id":"scan-0bc96be7b0ef8329","title":"Scanned source fragment","original":"available + exact location = 100","classification":"accepted","occurrenceCount":14,"equationIds":["gh-eq-8095d6d261d34774","gh-eq-855d30bb13a17cac","gh-eq-c701e8831fcb328e","gh-eq-0c551c764724ca52","gh-eq-eebbd926e790fc49","gh-eq-ca2ed606093ff52c","gh-eq-7099e5bee7bcdb5c","gh-eq-aef1c5e00434be16","gh-eq-94fa4e2c849209e3","gh-eq-e4b74a9db60521af","gh-eq-b36333a40d264abf","gh-eq-b20b826854521baf","gh-eq-7217fde762b7d1ef","gh-eq-72a012cbe3c4a463"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":253,"endLine":253,"sourceId":"gh-source-3ef0f3da6036ec5d"}]},{"id":"scan-250e67983440d8bb","title":"Scanned source fragment","original":"available + relocatable (wrong location) = (50 + 100)/2 = 75","classification":"accepted","occurrenceCount":14,"equationIds":["gh-eq-f2c9b80cc856862f","gh-eq-f4fa71a01117fcb1","gh-eq-85f1286f23b6475b","gh-eq-2091087a501b894a","gh-eq-a4efe40fe331873f","gh-eq-43410af8f9bc3304","gh-eq-e91f69a926ad1017","gh-eq-a5aec9c71f3f0d58","gh-eq-66cd0557acfc6ebf","gh-eq-b8036ded8da890dd","gh-eq-a6a9276513dc1cef","gh-eq-ded9bc494403ee82","gh-eq-aa78f1400269f5cf","gh-eq-dff720fe6d50c8e4"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":257,"endLine":257,"sourceId":"gh-source-3ef0f3da6036ec5d"}]},{"id":"scan-f2c7c28d68014f6e","title":"Scanned source fragment","original":"unavailable + exact location = (100 + 0)/2 = 50","classification":"accepted","occurrenceCount":14,"equationIds":["gh-eq-2a20b54bf2f57557","gh-eq-6357d1ba0b78f1ba","gh-eq-d072441895fbccce","gh-eq-42253c0daf470039","gh-eq-db5fdb72d3b54eeb","gh-eq-6972a04e7c19a343","gh-eq-cba00922889a50b5","gh-eq-31942d0ca4054f01","gh-eq-e1f6fe9b6e527433","gh-eq-2c134443dffca42c","gh-eq-422ce23aae0bdd33","gh-eq-47db7b6a0ed4dfd6","gh-eq-06c13f96be8ca73c","gh-eq-f8accd00a4e94b94"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":264,"endLine":264,"sourceId":"gh-source-3ef0f3da6036ec5d"}]},{"id":"scan-90860262c256da84","title":"Scanned source fragment","original":"remote allowed + remote candidate = 100 location, available = 100","classification":"accepted","occurrenceCount":14,"equationIds":["gh-eq-727601645f0a700e","gh-eq-e1f6c49672a3f845","gh-eq-a52994f7a700baae","gh-eq-2d04507e1553ccdb","gh-eq-b689f51705e79ffe","gh-eq-f2c05c14b6cd4f86","gh-eq-9892a312889834eb","gh-eq-b5d3dcee93d93ddc","gh-eq-3690401e78d2eea1","gh-eq-56c66536776e3582","gh-eq-18bf0a6faf91c18b","gh-eq-0c35529fcf83a23a","gh-eq-9ac0e2b50326cbed","gh-eq-3edf821c86878bf7"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":270,"endLine":270,"sourceId":"gh-source-3ef0f3da6036ec5d"}]},{"id":"scan-787250da8f60d25f","title":"Scanned source fragment","original":"Skills 50. Total 25+12.5+15+15+10+10 = 87.50, Yellow, one mandatory skill gap (Go).","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-fc003ddf5b832dd8"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":44,"endLine":44,"sourceId":"gh-source-491889077d7adadb"}]},{"id":"scan-7b75d7c1d44e305b","title":"Scanned source fragment","original":"Total 0+12.5+0+0+6+7.5 = 26.00, Red. Gaps: clearance, mandatory Go, Security+.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-abe655fccf5aebee"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":64,"endLine":64,"sourceId":"gh-source-491889077d7adadb"}]},{"id":"scan-7188024ae48affed","title":"Scanned source fragment","original":"ClearanceStatus gates the clearance: only an Active clearance can score. Expired/Unknown = 0.","classification":"rejected","occurrenceCount":35,"equationIds":[],"reason":"Reviewed as an object-pointer assignment, structural diagram, application/protocol prose or qualitative label mapping rather than a mathematical equation.","sourceRefs":[{"startLine":76,"endLine":76,"sourceId":"gh-source-e3d74d844458345f","locator":"Lines 76–76"}]},{"id":"scan-48f78a6df417b89b","title":"Scanned source fragment","original":"On an exact id/name match it returns Exact=true, Similarity=1.0. ok is false when nothing","classification":"rejected","occurrenceCount":35,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":160,"endLine":160,"sourceId":"gh-source-e3d74d844458345f","locator":"Lines 160–160"}]},{"id":"scan-90a38ee7b377ac94","title":"Scanned source fragment","original":"(Red=0, Yellow=1, Green=2).","classification":"accepted","occurrenceCount":16,"equationIds":["gh-eq-b060fbce53076998","gh-eq-16f6050dac6c3336","gh-eq-037a7be628259d51","gh-eq-2fad819dc2b7cdee","gh-eq-5d727f9286f004ce","gh-eq-c99fcafec41d1704","gh-eq-47de6090e8aa67b1","gh-eq-39fe451ea8a7d2cf","gh-eq-581132f751a23b44","gh-eq-1b0d51c1274ebb58","gh-eq-c1ce78821f54a5f2","gh-eq-7c629d05782d7115","gh-eq-1b05d05ca0855151","gh-eq-e4f3ce78a822e856","gh-eq-f0e2547f991e8b20","gh-eq-a24b127cd1540cd4"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":184,"endLine":184,"sourceId":"gh-source-444db90cda0b8400"}]},{"id":"scan-dc34332a5f8c2460","title":"Scanned source fragment","original":"FP = other rows scored into this band.","classification":"accepted","occurrenceCount":16,"equationIds":["gh-eq-a3b0cf1f5f2dc7c7","gh-eq-f5d24e05cc3d67ec","gh-eq-9f524e57e66b5310","gh-eq-4a224181adf65abe","gh-eq-25b678f77b613fdb","gh-eq-0f397399dfda7a38","gh-eq-4b6dcbf5889eb94f","gh-eq-11f371870170e92c","gh-eq-777e17ef5057587c","gh-eq-eccdcee2a1994391","gh-eq-4fa0e4f7aebb2758","gh-eq-291a0217f9344735","gh-eq-eb0ec3c2f46086d7","gh-eq-1d803e89325cf4fc","gh-eq-ce23ea3c1d0dd271","gh-eq-4f725233e85e3aba"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":203,"endLine":203,"sourceId":"gh-source-444db90cda0b8400"}]},{"id":"scan-a0b8021a97588b9c","title":"Scanned source fragment","original":"FN = this band's cases that were scored into other bands.","classification":"accepted","occurrenceCount":16,"equationIds":["gh-eq-7b58d2bd776056fa","gh-eq-5a97c082c10f6604","gh-eq-05bbf63ebcb67dc3","gh-eq-a822b5559df792f0","gh-eq-76a10f6f3c895475","gh-eq-e438b820e022e7d3","gh-eq-b995a2e0d76f70ac","gh-eq-cb6f13d30cefe172","gh-eq-c69f5f09ff5f44fd","gh-eq-eccc588a1f69c5b9","gh-eq-762b0559eb1921d9","gh-eq-74ff6824e96baca5","gh-eq-cfa0788cb7bcfb40","gh-eq-8e6c3d5e668d7509","gh-eq-c528240310f69e91","gh-eq-b2f539426a84e31a"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":217,"endLine":217,"sourceId":"gh-source-444db90cda0b8400"}]},{"id":"scan-bc53abc5bb371973","title":"Scanned source fragment","original":"TS/SCI active, all required skills, cert, customer, experience, on site, available => Green.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as an object-pointer assignment, structural diagram, application/protocol prose or qualitative label mapping rather than a mathematical equation.","sourceRefs":[{"startLine":13,"endLine":13,"sourceId":"gh-source-a96f29beebaa6dbe","locator":"Lines 13–13"}]},{"id":"scan-bb945ff157829f78","title":"Scanned source fragment","original":"Clearance 100*0.25=25, Skills 100*0.25=25, Certs 100*0.15=15, Customer 100*0.15=15,","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-97e642f218f55274"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":14,"endLine":14,"sourceId":"gh-source-a96f29beebaa6dbe"}]},{"id":"scan-36987e4e2e1dd0d9","title":"Scanned source fragment","original":"Exp 100*0.10=10, Location (100+100)/2*0.10=10. Total=100.00 => Green.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-523a013e05b094cd"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":15,"endLine":15,"sourceId":"gh-source-a96f29beebaa6dbe"}]},{"id":"scan-bd20dec265709447","title":"Scanned source fragment","original":"Missing mandatory Machine Learning. Skills 50%. Clearance 100*0.25=25, Skills 50*0.25=12.5,","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6065678534fa568a"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":49,"endLine":49,"sourceId":"gh-source-a96f29beebaa6dbe"}]},{"id":"scan-bdeee7dfe1becf1e","title":"Scanned source fragment","original":"Certs 100*0.15=15, Customer 100*0.15=15, Exp 100*0.10=10, Location 100*0.10=10. Total=87.50 => Yellow.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6c2557c4ac0df455"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":50,"endLine":50,"sourceId":"gh-source-a96f29beebaa6dbe"}]},{"id":"scan-91a3a71e4ca89067","title":"Scanned source fragment","original":"Expired clearance => clearance 0. All other dimensions are perfect.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":88,"endLine":88,"sourceId":"gh-source-a96f29beebaa6dbe","locator":"Lines 88–88"}]},{"id":"scan-7dcd3c2c32021f1c","title":"Scanned source fragment","original":"Total = 0+25+15+15+10+10 = 75.00. bandFor(75.00) = Yellow, but v1.4.0 clearance gap cap","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b3922968894b788a"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":89,"endLine":89,"sourceId":"gh-source-a96f29beebaa6dbe"}]},{"id":"scan-f4b0ac89ab16d7df","title":"Scanned source fragment","original":"fires (expired clearance zeroes the component; required level TS/SCI >= ClearanceConfidential).","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":90,"endLine":90,"sourceId":"gh-source-a96f29beebaa6dbe","locator":"Lines 90–90"}]},{"id":"scan-d41f2acc321298a8","title":"Scanned source fragment","original":"no experience with the required customer agency. The engine scores: clearance 100*0.25=25,","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5ef7e302127da5dc"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":125,"endLine":125,"sourceId":"gh-source-a96f29beebaa6dbe"}]},{"id":"scan-7b0aaffe34e21a20","title":"Scanned source fragment","original":"skills 100*0.25=25 (both mandatory met), certs 100*0.15=15, customer 0*0.15=0, exp 100*0.10=10,","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-e27bd0fcc0d82dc8"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":126,"endLine":126,"sourceId":"gh-source-a96f29beebaa6dbe"}]},{"id":"scan-865048e02719c67c","title":"Scanned source fragment","original":"location 100*0.10=10. Total = 85.00 => Yellow by the engine. No clearance gap (clearance is fine).","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c2f7b5dbbcc74a80"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":127,"endLine":127,"sourceId":"gh-source-a96f29beebaa6dbe"}]},{"id":"scan-15144fb79635d510","title":"Scanned source fragment","original":"produces Red via the clearance gap cap (expired clearance => clearance 0, required level","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":248,"endLine":248,"sourceId":"gh-source-a96f29beebaa6dbe","locator":"Lines 248–248"}]},{"id":"scan-7739a251c236b079","title":"Scanned source fragment","original":"TS/SCI >= Confidential, so the cap fires). This is now a CORRECT classification, not a","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":249,"endLine":249,"sourceId":"gh-source-a96f29beebaa6dbe","locator":"Lines 249–249"}]},{"id":"scan-933deb0c25a69d83","title":"Scanned source fragment","original":"Green precision = 2 / (2+1) = 0.666...","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-bbb2c13085ff9832"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":321,"endLine":321,"sourceId":"gh-source-a96f29beebaa6dbe"}]},{"id":"scan-8b4a13ed876b42b5","title":"Scanned source fragment","original":"Green recall = 2 / 2 = 1.0 (all expected Green are scored Green).","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f63bb939287950f8"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":327,"endLine":327,"sourceId":"gh-source-a96f29beebaa6dbe"}]},{"id":"scan-5e62a451011b77b0","title":"Scanned source fragment","original":"Red recall = 0 / 1 = 0.0 (the one expected Red was scored Green).","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-62fb004c96ba95ee"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":333,"endLine":333,"sourceId":"gh-source-a96f29beebaa6dbe"}]},{"id":"scan-29aa7b809de78b77","title":"Scanned source fragment","original":"nameToID: \"sigint\" => sigintID","classification":"rejected","occurrenceCount":3,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":24,"endLine":24,"sourceId":"gh-source-bf816efab2ea0de5","locator":"Lines 24–24"}]},{"id":"scan-eef0fe8c14759146","title":"Scanned source fragment","original":"\"skill b\" => skillBID","classification":"rejected","occurrenceCount":3,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":25,"endLine":25,"sourceId":"gh-source-bf816efab2ea0de5","locator":"Lines 25–25"}]},{"id":"scan-a85fda575cbf563c","title":"Scanned source fragment","original":"\"skill a\" => skillAID","classification":"rejected","occurrenceCount":3,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":26,"endLine":26,"sourceId":"gh-source-bf816efab2ea0de5","locator":"Lines 26–26"}]},{"id":"scan-27255e16ed494803","title":"Scanned source fragment","original":"aliasToID: \"signals intelligence\" => sigintID","classification":"rejected","occurrenceCount":3,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":27,"endLine":27,"sourceId":"gh-source-bf816efab2ea0de5","locator":"Lines 27–27"}]},{"id":"scan-93c1bec47fed5c89","title":"Scanned source fragment","original":"rels: skillAID => [{toID: skillBID, relation: \"substitutes_for\", strength: 0.80}]","classification":"rejected","occurrenceCount":3,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":28,"endLine":28,"sourceId":"gh-source-bf816efab2ea0de5","locator":"Lines 28–28"}]},{"id":"scan-bc696290ef4ece25","title":"Scanned source fragment","original":"AliasMatched=true to distinguish this path from a semantic cosine match.","classification":"rejected","occurrenceCount":3,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":80,"endLine":80,"sourceId":"gh-source-bf816efab2ea0de5","locator":"Lines 80–80"}]},{"id":"scan-b8509d069116e31b","title":"Scanned source fragment","original":"Skills component: 1 of 1 required met (the alias resolved) => 100.","classification":"accepted","occurrenceCount":3,"equationIds":["gh-eq-7998e380ebd3cfd6","gh-eq-8705cc00e5cffa62","gh-eq-621a6bdacb8ceae8"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":99,"endLine":99,"sourceId":"gh-source-bf816efab2ea0de5"}]},{"id":"scan-323c152b53231128","title":"Scanned source fragment","original":"The matched skill record must carry AliasMatched=true and Similarity=1.0. The engine","classification":"rejected","occurrenceCount":3,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":107,"endLine":107,"sourceId":"gh-source-bf816efab2ea0de5","locator":"Lines 107–107"}]},{"id":"scan-7102d922b9a849ed","title":"Scanned source fragment","original":"0 years req, no location req, candidate is available). Total = 100.00.","classification":"accepted-parameter","occurrenceCount":3,"equationIds":["gh-eq-d0e74b6b657addd2","gh-eq-062c79c555ab22fd","gh-eq-324e2a206e410441"],"reason":"Explicit numerical parameter definition.","sourceRefs":[{"startLine":126,"endLine":126,"sourceId":"gh-source-bf816efab2ea0de5"}]},{"id":"scan-e4f6374bda1a86a3","title":"Scanned source fragment","original":"skill fraction is ratio(1,1)=100. The partial credit (0.80) lives in the SkillMatch.Similarity","classification":"accepted","occurrenceCount":3,"equationIds":["gh-eq-f1da52b5b72616eb","gh-eq-4c97071bbc4d53d3","gh-eq-a7d915b65590ef16"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":148,"endLine":148,"sourceId":"gh-source-bf816efab2ea0de5"}]},{"id":"scan-688cf307ff75d8b8","title":"Scanned source fragment","original":"Skills component: ratio(1,1) = 100. The relationship strength is in the SkillMatch record,","classification":"accepted","occurrenceCount":3,"equationIds":["gh-eq-e10f85b049c32a2d","gh-eq-187b177715104379","gh-eq-a95ed1a022e0349a"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":167,"endLine":167,"sourceId":"gh-source-bf816efab2ea0de5"}]},{"id":"scan-2ca86deb78839468","title":"Scanned source fragment","original":"The matched skill record must carry Similarity=0.80, Exact=false, AliasMatched=false.","classification":"rejected","occurrenceCount":3,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":176,"endLine":176,"sourceId":"gh-source-bf816efab2ea0de5","locator":"Lines 176–176"}]},{"id":"scan-c6b703292cb11fa7","title":"Scanned source fragment","original":"skills, which resolved to 100). Total = 100.00.","classification":"accepted-parameter","occurrenceCount":3,"equationIds":["gh-eq-5da43fe9e1536906","gh-eq-dcb4a3a4e3f74687","gh-eq-07f3ef4297d8d424"],"reason":"Explicit numerical parameter definition.","sourceRefs":[{"startLine":194,"endLine":194,"sourceId":"gh-source-bf816efab2ea0de5"}]},{"id":"scan-4a90fc248d916cf2","title":"Scanned source fragment","original":"All six dimensions score 100. Total = 100.00.","classification":"accepted-parameter","occurrenceCount":2,"equationIds":["gh-eq-6a521ab3a93f3035","gh-eq-f1f8fba9ad84f2b8"],"reason":"Explicit numerical parameter definition.","sourceRefs":[{"startLine":254,"endLine":254,"sourceId":"gh-source-bf816efab2ea0de5"}]},{"id":"scan-f5af758141540a1c","title":"Scanned source fragment","original":"The total is: 0*0.25 + 100*0.25 + 100*0.15 + 100*0.15 + 100*0.10 + 100*0.10 = 75.00.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6ae7898651cb136c"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":275,"endLine":275,"sourceId":"gh-source-bf816efab2ea0de5"}]},{"id":"scan-2fa57f6937de3780","title":"Scanned source fragment","original":"(RequiredLevel TS/SCI >= ClearanceConfidential, clearanceScore == 0). The band cap lowers","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-2c6f7486829d0a76"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":277,"endLine":277,"sourceId":"gh-source-bf816efab2ea0de5"}]},{"id":"scan-91a66f5a846b0d90","title":"Scanned source fragment","original":"Total = 0*0.25 + 100*0.25 + 100*0.15 + 100*0.15 + 100*0.10 + 100*0.10 = 75.00.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a335ccd20d581483"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":308,"endLine":308,"sourceId":"gh-source-bf816efab2ea0de5"}]},{"id":"scan-2308b96d3b5b8cc5","title":"Scanned source fragment","original":"are 100 (no requirements). The raw total is 0*0.25 + 100*0.75 = 75.00 (uncapped). bandFor(75.00)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-964e2e115678bfbc"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":340,"endLine":340,"sourceId":"gh-source-bf816efab2ea0de5"}]},{"id":"scan-5b7feb33fa1d6052","title":"Scanned source fragment","original":"= Yellow, but the v1.4.0 clearance gap cap lowers it to Red. Total stays 75.00.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":341,"endLine":341,"sourceId":"gh-source-bf816efab2ea0de5","locator":"Lines 341–341"}]},{"id":"scan-3ba8b668ae992401","title":"Scanned source fragment","original":"Uncapped total: 0*0.25 + 100*0.25 + 100*0.15 + 100*0.15 + 100*0.10 + 100*0.10 = 75.00.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c516bd1af3b52cd8"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":361,"endLine":361,"sourceId":"gh-source-bf816efab2ea0de5"}]},{"id":"scan-8bee776b16e5f404","title":"Scanned source fragment","original":"Skills component: 3 of 4 required met = 75.","classification":"accepted-parameter","occurrenceCount":1,"equationIds":["gh-eq-da5af5ecabd7ed19"],"reason":"Explicit numerical parameter definition.","sourceRefs":[{"startLine":426,"endLine":426,"sourceId":"gh-source-bf816efab2ea0de5"}]},{"id":"scan-f1bb9dad2ef7001c","title":"Scanned source fragment","original":"= 25 + 18.75 + 15 + 15 + 10 + 10 = 93.75. bandFor(93.75) = Green.","classification":"rejected","occurrenceCount":1,"equationIds":["gh-eq-5e7d3ead597d23db"],"reason":"Continuation fragment replaced by a complete exact adjacent source-comment span.","sourceRefs":[{"startLine":431,"endLine":431,"sourceId":"gh-source-bf816efab2ea0de5","locator":"Lines 431–431"}]},{"id":"scan-02c42cd27d97d071","title":"Scanned source fragment","original":"monthsBetween returns whole calendar months from a to b (>= 0).","classification":"accepted","occurrenceCount":2,"equationIds":["gh-eq-67b3c52ee4029671","gh-eq-6d0dd8863f69b7af"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":358,"endLine":358,"sourceId":"gh-source-7b45fd9833dba153"}]},{"id":"scan-1889dab570738c5a","title":"Scanned source fragment","original":"engine's threshold. Vectors from the provider are L2-normalized, so cosine == dot product.","classification":"accepted","occurrenceCount":35,"equationIds":["gh-eq-2465a937f078ec99","gh-eq-f7ef055515481818","gh-eq-90b0f643c5def788","gh-eq-24ffb5b8e2e3cc64","gh-eq-42195a075af7a796","gh-eq-d3352658967261fe","gh-eq-fafab5913a0e2470","gh-eq-07ebae648acb3f67","gh-eq-05d086e214b59013","gh-eq-2eee1ccab0f15f95","gh-eq-9dc7f33fe86a5fd3","gh-eq-be8b08e628e6c228","gh-eq-d8cde4872b62cc95","gh-eq-62bb1fb720bb2c6f","gh-eq-b5b2171ef7d42a04","gh-eq-94f94cbdcbdefc8f","gh-eq-c242b37ebbb04256","gh-eq-f738869d46c2690e","gh-eq-70d03711482254fe","gh-eq-b78c48fa0480c892","gh-eq-8cb00bcee972d947","gh-eq-d5884a105687c98d","gh-eq-761f9291b6389ad9","gh-eq-e585996fd201bbe2","gh-eq-ba4e81a4b6c55689","gh-eq-77c05afe55d98e29","gh-eq-78915ff30ae2db6a","gh-eq-cfa5c9d63d91d5b9","gh-eq-9a3bb109d71311de","gh-eq-bb2a22504bd7d8c2","gh-eq-f9fd60f3b6ea6fa8","gh-eq-dba8251569d296a6","gh-eq-87c8bf24bc8250a7","gh-eq-89012bce33c6c418","gh-eq-386f6fa11bfdf403"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":18,"endLine":18,"sourceId":"gh-source-c13a33f53390b7bd"}]},{"id":"scan-4fbb87cf9c0959d1","title":"Scanned source fragment","original":"Unit vectors: cosine(\"Amazon EKS\",\"Kubernetes\")=0.9 ; cosine with \"Java\"=0.","classification":"accepted","occurrenceCount":2,"equationIds":["gh-eq-53daaab2d18a7334","gh-eq-5664112166b47a48"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":30,"endLine":30,"sourceId":"gh-source-27d996e013070123"}]},{"id":"scan-79ff08a64ee889d4","title":"Scanned source fragment","original":"header lines were missed, which left the exploit fully open: a slate named =cmd|'/c calc.exe'!A1","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":263,"endLine":263,"sourceId":"gh-source-9130dcc1accbb3de","locator":"Lines 263–263"}]},{"id":"scan-a18a698aed31029e","title":"Scanned source fragment","original":"Fixture has 2 examples in first category + 1 in second = 3 total.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-07c5e41e916b2e46"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":155,"endLine":155,"sourceId":"gh-source-2d7c83e08c9c6bf0"}]},{"id":"scan-55b97c14dce663fe","title":"Scanned source fragment","original":"multiVals collects a filter that may be repeated (?naics=a&naics=b) and/or comma-listed (?naics=a,b).","classification":"rejected","occurrenceCount":35,"equationIds":[],"reason":"Reviewed as an object-pointer assignment, structural diagram, application/protocol prose or qualitative label mapping rather than a mathematical equation.","sourceRefs":[{"startLine":76,"endLine":76,"sourceId":"gh-source-75f3312582d85af6","locator":"Lines 76–76"}]},{"id":"scan-d6e0fa11d75a7198","title":"Scanned source fragment","original":"multiVals collects a filter that may be repeated (?kind=a&kind=b) or comma listed (?kind=a,b).","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":48,"endLine":48,"sourceId":"gh-source-34c40894c281def0","locator":"Lines 48–48"}]},{"id":"scan-8523451e82b234e9","title":"Scanned source fragment","original":"p = patchRequest(r)","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":196,"endLine":196,"sourceId":"gh-source-2332dd9fb4ad7c80","locator":"Lines 196–196"}]},{"id":"scan-74e22f7fc3b2adf7","title":"Scanned source fragment","original":"outID = id","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Simple object, field, pointer or label assignment with no mathematical operation.","sourceRefs":[{"startLine":172,"endLine":172,"sourceId":"gh-source-999881892d31cc17","locator":"Lines 172–172"}]},{"id":"scan-288f5371e7aea9e1","title":"Scanned source fragment","original":"S(t) = product over event times ti <= t of (1 - di / ni), where ni is the number still at risk","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-19302a670d3a13ac"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":59,"endLine":59,"sourceId":"gh-source-074181fe9ff89733"}]},{"id":"scan-48b50f6e5fe8d40d","title":"Scanned source fragment","original":"1 - 2/4 = 0.5","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b902f90256236543"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":233,"endLine":233,"sourceId":"gh-source-06556a67959a1601"}]},{"id":"scan-7687e7be20167aa8","title":"Scanned source fragment","original":"actor, in.Host, in.Port, in.Username, in.Mailbox, in.LookbackDays); e != nil {","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":170,"endLine":170,"sourceId":"gh-source-287f39fad2ee187f","locator":"Lines 170–170"}]},{"id":"scan-e0d4462a1f60279c","title":"Scanned source fragment","original":"Returns claim=true when the caller takes an unowned account by editing it.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":112,"endLine":112,"sourceId":"gh-source-2528a57a191019a3","locator":"Lines 112–112"}]},{"id":"scan-d8fa7c65ba53508a","title":"Scanned source fragment","original":"forbids from_stage = to_stage, so the opening event is written with a NULL predecessor and the trigger","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":226,"endLine":226,"sourceId":"gh-source-865e96faee4b7dbc","locator":"Lines 226–226"}]},{"id":"scan-3109c4c0ce097850","title":"Scanned source fragment","original":"out = ve","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Pointer assignment misread as a comment; the apparent fragment is not a mathematical equation.","sourceRefs":[{"startLine":99,"endLine":99,"sourceId":"gh-source-4c152f806c8c1b58","locator":"Lines 99–99"}]},{"id":"scan-8046ccaee02edee9","title":"Scanned source fragment","original":"same live candidate set (rm_cand), so identified >= screened >= submitted >= approved always holds.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-04947c49dadf2cc7"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":8,"endLine":8,"sourceId":"gh-source-3f5eb8f893f9d111"}]},{"id":"scan-70dc0a51c32810ed","title":"Scanned source fragment","original":"Exactly at the floor is qualified (>=).","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":64,"endLine":64,"sourceId":"gh-source-91df0b31ce4cac4f","locator":"Lines 64–64"}]},{"id":"scan-e2ed279f5352b360","title":"Scanned source fragment","original":"confidence = wFit * (total / 100) + wProvenance * provenanceScore + wCompleteness * completeness","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-efa75bf421b64829"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":8,"endLine":8,"sourceId":"gh-source-5e69b6e560a5e881"}]},{"id":"scan-29af9253c25f99e7","title":"Scanned source fragment","original":"0.6*0 + 0.25*0.4 + 0.15*0 = 0.1","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-1b2e0c5a356cb262"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":30,"endLine":30,"sourceId":"gh-source-246482f463022599"}]},{"id":"scan-6036d50e975eeb1b","title":"Scanned source fragment","original":"- Build source -> candidate (cap 1, cost 0), candidate -> requirement (cap 1, cost = negative scaled","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":15,"endLine":15,"sourceId":"gh-source-2468242e24ca0584","locator":"Lines 15–15"}]},{"id":"scan-dd8e3c812fd92fa4","title":"Scanned source fragment","original":"p = old[:n-1]","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":340,"endLine":340,"sourceId":"gh-source-2468242e24ca0584","locator":"Lines 340–340"}]},{"id":"scan-f76e78b7b9b7d6d2","title":"Scanned source fragment","original":"c0 assigned to r1 (8); next best requirement is r0 (10); delta = 8 - 10 = -2 (giving c0 r1 instead of","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-767aa70c6efd424c"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":144,"endLine":144,"sourceId":"gh-source-a2dc1b69c9b28d09"}]},{"id":"scan-e0c7c8f59b38adcd","title":"Scanned source fragment","original":"Available bench = candidates not already committed anywhere.","classification":"rejected","occurrenceCount":23,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":88,"endLine":88,"sourceId":"gh-source-a589f109d13db8b7","locator":"Lines 88–88"}]},{"id":"scan-a5a8cce162d67514","title":"Scanned source fragment","original":"value(i, j) = engineTotal(i, j) * priorityMultiplier(j)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-8bc830e3ebb41951"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":8,"endLine":8,"sourceId":"gh-source-0e37b74d09487e48"}]},{"id":"scan-5857177012f07c1b","title":"Scanned source fragment","original":"0.0000005 * 1 * 1e6 = 0.5, shopspring rounds half away from zero -> 1.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0deb32dab4984b24"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":53,"endLine":53,"sourceId":"gh-source-b2cd49fe6365bbe7"}]},{"id":"scan-6e3480f604732ed4","title":"Scanned source fragment","original":"SOC occupations (display_level = 3), capturing the occupation_code (SOC) and occupation_name (title).","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":38,"endLine":38,"sourceId":"gh-source-dd18720bd861e266","locator":"Lines 38–38"}]},{"id":"scan-924500b7860d76db","title":"Scanned source fragment","original":"AllowSelfHostedProduction lets a production deployment run with MM_CLOUD=local. It exists so a self","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":162,"endLine":162,"sourceId":"gh-source-09528a8e4b1db30a","locator":"Lines 162–162"}]},{"id":"scan-90c32401f7b1c0b3","title":"Scanned source fragment","original":"does NOT defend against formula injection, and a cell beginning with =, +, - or @ is evaluated as an","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":4,"endLine":4,"sourceId":"gh-source-f9a9d723df3f8ee7","locator":"Lines 4–4"}]},{"id":"scan-7d2ffb60f9b9bd6a","title":"Scanned source fragment","original":"AssertRole fails closed unless the pool authenticates as wantUser with rolbypassrls=false. It is","classification":"rejected","occurrenceCount":35,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":85,"endLine":85,"sourceId":"gh-source-af38383d48860335","locator":"Lines 85–85"}]},{"id":"scan-e9004de174afb8ff","title":"Scanned source fragment","original":"Hybrid retrieval: pgvector cosine kNN fused with full-text rank via Reciprocal Rank Fusion (k=60).","classification":"accepted","occurrenceCount":72,"equationIds":["gh-eq-2339d652cdd445a7","gh-eq-0d136e7a72bb1b67","gh-eq-91288194894ce2a3","gh-eq-8aea970634ade766","gh-eq-79164d2b1f16c5da","gh-eq-542aa6f6eb18fb40","gh-eq-927dceb410c8eba9","gh-eq-030475d790184af6","gh-eq-6bb5495d354f910e","gh-eq-02ba2fbfe580b1a0","gh-eq-f43cd570f0a2e141","gh-eq-fa3be366d4269af9","gh-eq-d8dc9220137b0794","gh-eq-55fe08b0019606cb","gh-eq-a35c33b5adf52ce9","gh-eq-38ee8b325a2fcbf6","gh-eq-f02576ed4b990dd8","gh-eq-45f00b3d2e7a2bd1","gh-eq-765921196af1aa05","gh-eq-5db55a4bdc308c49","gh-eq-60c1f68ca6e855e4","gh-eq-d03460339480c7c0","gh-eq-84a7f6fb6e507748","gh-eq-3c9e628836fc1ae9","gh-eq-33132c880a8ea284","gh-eq-a960117dff2cff2e","gh-eq-043fbe39ee464cdc","gh-eq-8fc235538d4d8e23","gh-eq-46fdba2614768bf2","gh-eq-f6ce09559567ca93","gh-eq-911df598ec1da54e","gh-eq-6a97e0a114423c0e","gh-eq-42a9fb001799d760","gh-eq-9bdf7472c7c86aca","gh-eq-926dcbb7a1be3798","gh-eq-887424fe1ed00f61","gh-eq-1e96a5efc098f66d","gh-eq-aee9f97e284833ad","gh-eq-ce00876a4bef9637","gh-eq-6c1f6b96dbd74d74","gh-eq-db01bddcf09ab20b","gh-eq-2eed5e80f36a821d","gh-eq-44d3f6b68627cb12","gh-eq-e89ebc8dec8346bf","gh-eq-efdfd7bda63a3d44","gh-eq-50c75551fd30b957","gh-eq-a4a27643e105d5eb","gh-eq-01348dec6f28357e","gh-eq-5da2c20889d881c7","gh-eq-1882673fdd85424d","gh-eq-b4c63dfb80ab5474","gh-eq-4e507244069d4ac0","gh-eq-c17054b213577de4","gh-eq-135d0a69f62ceaab","gh-eq-5130f735d82f5f87","gh-eq-896fb890a3c670d8","gh-eq-8bc74124f57171b1","gh-eq-75d4c95b7bc0f591","gh-eq-1455d560703562cc","gh-eq-00e6d74a39d78c18","gh-eq-37f9eb675b1b53e6","gh-eq-807152a810c0e3fb","gh-eq-0d4e64b255c039fc","gh-eq-f96cd10f379796ad","gh-eq-992ff4314d698bed","gh-eq-7c2a16aad2f1a4aa","gh-eq-ab0acc9c4120d4e6","gh-eq-fdef34712cc33be6","gh-eq-d9b6933b404bcf92","gh-eq-821304cc30e2851b","gh-eq-17da53f9c5c010d0","gh-eq-2b50e00e6404d976"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":715,"endLine":715,"sourceId":"gh-source-35452ea985419d46"}]},{"id":"scan-e494f85d4bd4a894","title":"Scanned source fragment","original":"RLS already scopes both legs to the caller's org. $1=query embedding, $2=limit, $3=text query.","classification":"rejected","occurrenceCount":72,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":716,"endLine":716,"sourceId":"gh-source-35452ea985419d46","locator":"Lines 716–716"}]},{"id":"scan-a811bdad793a0110","title":"Scanned source fragment","original":"before it is ranked: under hnsw.iterative_scan = relaxed_order the index returns rows slightly out of","classification":"rejected","occurrenceCount":46,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":718,"endLine":718,"sourceId":"gh-source-35452ea985419d46","locator":"Lines 718–718"}]},{"id":"scan-d3a07f28b5153192","title":"Scanned source fragment","original":"itself. The skill name to code link is mission_areas.spine_term = skills.name, because the mission_area","classification":"rejected","occurrenceCount":30,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":466,"endLine":466,"sourceId":"gh-source-3d4502c4ade2f8d9","locator":"Lines 466–466"}]},{"id":"scan-c31eef21b55848e3","title":"Scanned source fragment","original":"Optional filters (NULL array = no filter). Soonest closing first, then most recently posted, then id","classification":"rejected","occurrenceCount":70,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":89,"endLine":89,"sourceId":"gh-source-f014f46dca7bcfae","locator":"Lines 89–89"}]},{"id":"scan-97d07a4db4fa7dea","title":"Scanned source fragment","original":"PK tiebreaker => total order [review SQLC-5]","classification":"rejected","occurrenceCount":72,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":91,"endLine":91,"sourceId":"gh-source-13ce471af636f601","locator":"Lines 91–91"}]},{"id":"scan-b9c3332ab4f2b8a0","title":"Scanned source fragment","original":"mirroring the Command Center predicate (o.id IS NULL OR o.status='open'). The LEFT JOIN selects r.*","classification":"rejected","occurrenceCount":53,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":202,"endLine":202,"sourceId":"gh-source-13ce471af636f601","locator":"Lines 202–202"}]},{"id":"scan-edeac819e8fd6358","title":"Scanned source fragment","original":"All filters are optional (NULL array / NULL scalar = \"no filter\"). active_only defaults true at the","classification":"rejected","occurrenceCount":72,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":243,"endLine":243,"sourceId":"gh-source-13ce471af636f601","locator":"Lines 243–243"}]},{"id":"scan-0b9fac820534f252","title":"Scanned source fragment","original":"CGO_ENABLED=0 and GOFIPS140=v1.0.0 and never reaches a Python tool. It dispatches on the file","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":3,"endLine":3,"sourceId":"gh-source-d8d80a6e07379c01","locator":"Lines 3–3"}]},{"id":"scan-a09f043daba1e377","title":"Scanned source fragment","original":"All vectors are L2-normalized so cosine distance (the schema's vector_cosine_ops / <=>) is meaningful.","classification":"rejected","occurrenceCount":36,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":11,"endLine":11,"sourceId":"gh-source-154bdb20bfcdd371","locator":"Lines 11–11"}]},{"id":"scan-69007712ddda5909","title":"Scanned source fragment","original":"rank 1 discount = 1/log2(2) = 1.0","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-dec9ab471463e6c3"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":110,"endLine":110,"sourceId":"gh-source-ac7ae6a3c362d4ea"}]},{"id":"scan-c9213767397ad368","title":"Scanned source fragment","original":"rank 2 discount = 1/log2(3) = 0.6309297535714574","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-77f0107bf915ec0d"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":111,"endLine":111,"sourceId":"gh-source-ac7ae6a3c362d4ea"}]},{"id":"scan-757c4889a362ad85","title":"Scanned source fragment","original":"rank 3 discount = 1/log2(4) = 0.5","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-2bf2f60d32e7aa97"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":112,"endLine":112,"sourceId":"gh-source-ac7ae6a3c362d4ea"}]},{"id":"scan-fdf9fe8c6f694b2a","title":"Scanned source fragment","original":"One relevant id at rank two: dcg = d2, idcg = d1, so nDCG = d2/d1 = d2.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-609d3bf4347ea8b3"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":127,"endLine":127,"sourceId":"gh-source-ac7ae6a3c362d4ea"}]},{"id":"scan-cb65953d2ff0a546","title":"Scanned source fragment","original":"One relevant id at rank three (k high enough): dcg = d3, idcg = d1.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-9d62c13ed22685a2"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":129,"endLine":129,"sourceId":"gh-source-ac7ae6a3c362d4ea"}]},{"id":"scan-b8126add5901beb8","title":"Scanned source fragment","original":"Two relevant ids at ranks one and three: dcg = d1 + d3, idcg = d1 + d2 (two relevant ideal).","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-8ae251afb741d4ed"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":131,"endLine":131,"sourceId":"gh-source-ac7ae6a3c362d4ea"}]},{"id":"scan-3324211ee69a2653","title":"Scanned source fragment","original":"copy at rank two adds nothing; dcg = d1, idcg = d1 (one distinct relevant), nDCG = 1.0.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-9e896dde16fde060"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":152,"endLine":152,"sourceId":"gh-source-ac7ae6a3c362d4ea"}]},{"id":"scan-bd7050edd223bdeb","title":"Scanned source fragment","original":"Gaussian mechanism depends only on the noise multiplier sigma = NoiseSigma / C, the noise measured in","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c83961603bee51e7"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":55,"endLine":55,"sourceId":"gh-source-7f0f694f12287608"}]},{"id":"scan-17b2532cf36f0fac","title":"Scanned source fragment","original":"units, C = 1) the multiplier is just NoiseSigma. The per release Renyi differential privacy at order alpha","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-2eedb15f9e05e8ab"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":57,"endLine":57,"sourceId":"gh-source-7f0f694f12287608"}]},{"id":"scan-68226ee6b8828a44","title":"Scanned source fragment","original":"noiseMultiplier returns sigma = NoiseSigma / ClipNorm, the noise measured in units of the sensitivity, the","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d12b8ea29b85f07f"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":65,"endLine":65,"sourceId":"gh-source-7f0f694f12287608"}]},{"id":"scan-febb29badfe2a20a","title":"Scanned source fragment","original":"the standard closed form epsilon(alpha) = rdp(alpha) + log(1/delta) / (alpha - 1). This is the canonical","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-9ffd6a9537dfadbb"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":89,"endLine":89,"sourceId":"gh-source-7f0f694f12287608"}]},{"id":"scan-dbe6463e20ca964c","title":"Scanned source fragment","original":"MINIMUM over the grid of epsilon(alpha) = rdp(alpha) + log(1/delta) / (alpha - 1). Taking the min over the","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f6d3599537bca2a6"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":159,"endLine":159,"sourceId":"gh-source-7f0f694f12287608"}]},{"id":"scan-ae2dbbd8767d2f6f","title":"Scanned source fragment","original":"sigma=2, alpha=2: 2 / (2 * 4) = 0.25.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-4c63be03a1dfc38c"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":27,"endLine":27,"sourceId":"gh-source-72dde8bc02b93596"}]},{"id":"scan-f61573c242264444","title":"Scanned source fragment","original":"sigma=1, alpha=10: 10 / (2 * 1) = 5.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3e296559fa9e0f97"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":29,"endLine":29,"sourceId":"gh-source-72dde8bc02b93596"}]},{"id":"scan-ed99e1eeb0f01867","title":"Scanned source fragment","original":"sigma=0.5, alpha=3: 3 / (2 * 0.25) = 6.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6e719e26a9e22fcf"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":31,"endLine":31,"sourceId":"gh-source-72dde8bc02b93596"}]},{"id":"scan-9f89c0154d160eed","title":"Scanned source fragment","original":"sigma=4, alpha=8: 8 / (2 * 16) = 0.25.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-778df476d2670d8e"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":33,"endLine":33,"sourceId":"gh-source-72dde8bc02b93596"}]},{"id":"scan-6d5553ba3ab8bd21","title":"Scanned source fragment","original":"on is sigma = NoiseSigma / ClipNorm, the noise in units of the sensitivity. A release with NoiseSigma 4 and","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-e502015d3bbf5479"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":45,"endLine":45,"sourceId":"gh-source-72dde8bc02b93596"}]},{"id":"scan-86be1962b22718a2","title":"Scanned source fragment","original":"hand computed closed form epsilon(alpha) = rdp(alpha) + log(1/delta) / (alpha - 1).","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-1269aca43f1c82f6"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":59,"endLine":59,"sourceId":"gh-source-72dde8bc02b93596"}]},{"id":"scan-108ea67d6f9afb2b","title":"Scanned source fragment","original":"rdp=0.25 at alpha=2, delta=1e-5: 0.25 + ln(1e5) / 1 = 0.25 + 11.512925465 = 11.762925465.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-80c0357248284fc1"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":61,"endLine":61,"sourceId":"gh-source-72dde8bc02b93596"}]},{"id":"scan-7fc5f7169c7c6e0f","title":"Scanned source fragment","original":"A second independent point: rdp=5 at alpha=10, delta=1e-6: 5 + ln(1e6)/9.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-cc8b65871d890a19"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":67,"endLine":67,"sourceId":"gh-source-72dde8bc02b93596"}]},{"id":"scan-4ee361f8c76a3c54","title":"Scanned source fragment","original":"SOURCE AND DERIVATION. For the Gaussian mechanism with noise multiplier sigma and no subsampling (q = 1),","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6afcb7dd8b7f5111"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":140,"endLine":140,"sourceId":"gh-source-72dde8bc02b93596"}]},{"id":"scan-315bb673eac61433","title":"Scanned source fragment","original":"RdpAccountant converts accumulated RDP to (epsilon, delta) by epsilon = min over alpha of","classification":"rejected","occurrenceCount":1,"equationIds":["gh-eq-1e8b46b596c23679"],"reason":"Continuation fragment replaced by a complete exact adjacent source-comment span.","sourceRefs":[{"startLine":142,"endLine":142,"sourceId":"gh-source-72dde8bc02b93596","locator":"Lines 142–142"}]},{"id":"scan-89a1e7a93d0be91a","title":"Scanned source fragment","original":"FIXED PUBLISHED CONSTANT. For sigma = 1.0, a single Gaussian query (no subsampling), delta = 1e-5, the","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-63db24cef9f965cb"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":150,"endLine":150,"sourceId":"gh-source-72dde8bc02b93596"}]},{"id":"scan-2b1f524b49f58d06","title":"Scanned source fragment","original":"RDP accountant over a dense order grid yields the analytic optimum epsilon = 5.2985261 (optimal order","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5c6ae1f9fcf72fa1"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":151,"endLine":151,"sourceId":"gh-source-72dde8bc02b93596"}]},{"id":"scan-54722ae331cfd038","title":"Scanned source fragment","original":"Record is one normalized forecast row. Optional money and dates are pointers (nil = absent). Raw keeps","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":23,"endLine":23,"sourceId":"gh-source-eb58c238ab0ec52b","locator":"Lines 23–23"}]},{"id":"scan-9155c9c70ed02daa","title":"Scanned source fragment","original":"against folded text is asserting against a transport detail: RSVP=TRUE is present and correct even when it","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":10,"endLine":10,"sourceId":"gh-source-3e85eab998fa5471","locator":"Lines 10–10"}]},{"id":"scan-ece7d97a1978ddcc","title":"Scanned source fragment","original":"provably inside the FIPS validated module and there is no external crypto to re verify under fips140=on.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Simple object, field, pointer or label assignment with no mathematical operation.","sourceRefs":[{"startLine":7,"endLine":7,"sourceId":"gh-source-fb8030e9642da5c0","locator":"Lines 7–7"}]},{"id":"scan-04fa26ad60b82b38","title":"Scanned source fragment","original":"parseHeaderBlock reads one RFC 5322 header block. It returns ok=false when there is no Message-ID, because","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":59,"endLine":59,"sourceId":"gh-source-bf093271a0725e0f","locator":"Lines 59–59"}]},{"id":"scan-c01f12502c8ff922","title":"Scanned source fragment","original":"row 0 values must line up with the sorted names: alpha=2, mid=3, zeta=1","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":52,"endLine":52,"sourceId":"gh-source-df0149b7d05e5400","locator":"Lines 52–52"}]},{"id":"scan-39e839cb754214b6","title":"Scanned source fragment","original":"the design row is xi = [1, z_i0, z_i1, ...]; g += xi*r and h += w * xi xi^T","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f258c68c6d228345"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":106,"endLine":106,"sourceId":"gh-source-71ef9417b69ba008"}]},{"id":"scan-197fbfeccfb174c9","title":"Scanned source fragment","original":"probabilities, returning a and b such that calibrated = sigmoid(a*score + b). It reuses FitLogistic with","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d3c077aeb358f689"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":202,"endLine":202,"sourceId":"gh-source-71ef9417b69ba008"}]},{"id":"scan-c6d5c5ec01e1d054","title":"Scanned source fragment","original":"standardized eta = Intercept + Coeff*(s-mean)/scale = (Coeff/scale)*s + (Intercept - Coeff*mean/scale)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f9f6c5ad93528cf1"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":214,"endLine":214,"sourceId":"gh-source-71ef9417b69ba008"}]},{"id":"scan-2f16f8f86e4e70ef","title":"Scanned source fragment","original":"two points land in the [0.0,0.5) bin and two in the [0.5,1.0) bin with 5 bins => width 0.2.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-e777d4f03651b7d4"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":69,"endLine":69,"sourceId":"gh-source-d5ec44809c72474e"}]},{"id":"scan-b89da8435b1db274","title":"Scanned source fragment","original":"bin 0: mean predicted (0.1+0.15)/2 = 0.125, empirical (0+1)/2 = 0.5, count 2","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-edde58fa56da9048"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":77,"endLine":77,"sourceId":"gh-source-d5ec44809c72474e"}]},{"id":"scan-d17a1c0bcd579af8","title":"Scanned source fragment","original":"bin 4: mean predicted (0.85+0.95)/2 = 0.9, empirical (1+1)/2 = 1.0, count 2","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-26eb3c906f8a44b4"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":81,"endLine":81,"sourceId":"gh-source-d5ec44809c72474e"}]},{"id":"scan-d7fcc2da84620469","title":"Scanned source fragment","original":"fit, so a fitted coefficient vector w scores a candidate by utility = w . features and the display order is","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-bd9bca6d4d813ed6"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":26,"endLine":26,"sourceId":"gh-source-0cdce8e1059fbcc9"}]},{"id":"scan-48b09d623ae3bf91","title":"Scanned source fragment","original":"one approved and one rejected => one pair => two symmetric rows.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0743a7b04862b67a"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":30,"endLine":30,"sourceId":"gh-source-992a364fbef9cb54"}]},{"id":"scan-a61e8e28454f0d2b","title":"Scanned source fragment","original":"equal utilities (zero weights) are all ties => 0.5.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-62e180f262a7fc64"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":88,"endLine":88,"sourceId":"gh-source-992a364fbef9cb54"}]},{"id":"scan-08710bfd530d979f","title":"Scanned source fragment","original":"(1 based, index m-1 in the returned vector), hazard[m] = events at m / at risk at m, where at risk at m counts","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-8556d3d9cb86efb5"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":21,"endLine":21,"sourceId":"gh-source-5f2088954c3e6519"}]},{"id":"scan-107e1e5141eaec3a","title":"Scanned source fragment","original":"Survival returns the cumulative survival curve from a per period hazard vector: S[t] = product over i in 0..t","classification":"rejected","occurrenceCount":1,"equationIds":["gh-eq-b7bb20af98bd8745"],"reason":"Continuation fragment replaced by a complete exact adjacent source-comment span.","sourceRefs":[{"startLine":59,"endLine":59,"sourceId":"gh-source-5f2088954c3e6519","locator":"Lines 59–59"}]},{"id":"scan-10df0d6378a0b7ac","title":"Scanned source fragment","original":"At risk: month1 = 4 (all), month2 = 3 (the three that survived month1), month3 = 1 (only the last).","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c7b71aea9b235083"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":13,"endLine":13,"sourceId":"gh-source-cf7dc5b951958b8c"}]},{"id":"scan-069c28d96ce343c9","title":"Scanned source fragment","original":"Events: month1 = 1, month2 = 1, month3 = 1.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-da074167aa77d1f2"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":14,"endLine":14,"sourceId":"gh-source-cf7dc5b951958b8c"}]},{"id":"scan-36a75b1f19d74171","title":"Scanned source fragment","original":"hazards 0.25, 0.5 => S1 = 0.75, S2 = 0.75*0.5 = 0.375.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0fd319e6723de249"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":52,"endLine":52,"sourceId":"gh-source-cf7dc5b951958b8c"}]},{"id":"scan-711ec6a55c1d7ebf","title":"Scanned source fragment","original":"P(fill within 1) = 1 - 0.75 = 0.25.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-24373108b137a005"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":69,"endLine":69,"sourceId":"gh-source-cf7dc5b951958b8c"}]},{"id":"scan-0bf7a9cd25dda707","title":"Scanned source fragment","original":"P(fill within 3) = 1 - 0.75^3 = 1 - 0.421875 = 0.578125.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-bb7bec2e56188fe3"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":73,"endLine":73,"sourceId":"gh-source-cf7dc5b951958b8c"}]},{"id":"scan-47672e27e6897880","title":"Scanned source fragment","original":"Score computes the offline calibrated probability of a feature vector under a loaded model: raw =","classification":"rejected","occurrenceCount":1,"equationIds":["gh-eq-8059a4f80865cf25"],"reason":"Continuation fragment replaced by a complete exact adjacent source-comment span.","sourceRefs":[{"startLine":178,"endLine":178,"sourceId":"gh-source-10048a11687ad7c2","locator":"Lines 178–178"}]},{"id":"scan-2a0920417fbe854f","title":"Scanned source fragment","original":"coefficient rows (decimal), and its calibration bins. It sets champion=false ALWAYS; a champion flip is a","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":238,"endLine":238,"sourceId":"gh-source-10048a11687ad7c2","locator":"Lines 238–238"}]},{"id":"scan-4f71673ef6767c41","title":"Scanned source fragment","original":"zero weights => every utility ties => the stable incoming (engine) order is preserved exactly.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":39,"endLine":39,"sourceId":"gh-source-5f8ed0e015e4c44d","locator":"Lines 39–39"}]},{"id":"scan-94198adc300def86","title":"Scanned source fragment","original":"two approved on this slate => the top 2 by utility are the selection the ranking nudges.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":54,"endLine":54,"sourceId":"gh-source-5f8ed0e015e4c44d","locator":"Lines 54–54"}]},{"id":"scan-f5b3d5f65ec22663","title":"Scanned source fragment","original":"two approved => top 2 by the weight (top=90, second=80) are selected; third (10) is not.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":62,"endLine":62,"sourceId":"gh-source-5f8ed0e015e4c44d","locator":"Lines 62–62"}]},{"id":"scan-4aa031e379963eaa","title":"Scanned source fragment","original":"no approvals => nothing is selected (no ordering signal to gate).","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":75,"endLine":75,"sourceId":"gh-source-5f8ed0e015e4c44d","locator":"Lines 75–75"}]},{"id":"scan-300e7f6bff2e524b","title":"Scanned source fragment","original":"coefficients but writes nothing. minEvents <= 0 auto computes the floor as twenty decided events per fitted","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-136ed8484ca5cb60"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":40,"endLine":40,"sourceId":"gh-source-dcc1da6690c09c91"}]},{"id":"scan-54171f2b2652a036","title":"Scanned source fragment","original":"Standardized to raw feature space: rawCoef_j = beta_j / scale_j;","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-e2921085d59a6ace"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":80,"endLine":80,"sourceId":"gh-source-dcc1da6690c09c91"}]},{"id":"scan-f0c1efdcfc791811","title":"Scanned source fragment","original":"rawIntercept = beta0 - SUM_j beta_j * mean_j / scale_j.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c4a14031c37125f3"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":81,"endLine":81,"sourceId":"gh-source-dcc1da6690c09c91"}]},{"id":"scan-b1bb5c8c2d7ea181","title":"Scanned source fragment","original":"(calibrated = sigmoid(a * logit(mid) + b)). A Platt fit failure returns no bins, the honest identity map.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3854911a5c1be94c"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":129,"endLine":129,"sourceId":"gh-source-dcc1da6690c09c91"}]},{"id":"scan-71e0348dac9adc65","title":"Scanned source fragment","original":"multipart/alternative with method=REQUEST is what makes the accept and decline buttons appear.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as an object-pointer assignment, structural diagram, application/protocol prose or qualitative label mapping rather than a mathematical equation.","sourceRefs":[{"startLine":60,"endLine":60,"sourceId":"gh-source-41c0a0999777221d","locator":"Lines 60–60"}]},{"id":"scan-11735790fb181913","title":"Scanned source fragment","original":"An invitation must be multipart/ALTERNATIVE with method=REQUEST. multipart/mixed produces a message with a","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as an object-pointer assignment, structural diagram, application/protocol prose or qualitative label mapping rather than a mathematical equation.","sourceRefs":[{"startLine":122,"endLine":122,"sourceId":"gh-source-1631b077722d02c1","locator":"Lines 122–122"}]},{"id":"scan-6fb9f88626260022","title":"Scanned source fragment","original":"A cancellation must carry METHOD=CANCEL, or the meeting stays in the candidate's calendar.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":170,"endLine":170,"sourceId":"gh-source-1631b077722d02c1","locator":"Lines 170–170"}]},{"id":"scan-2ffde3447f5c1a41","title":"Scanned source fragment","original":"(AC prefix => SIGINT, EW). SIGINT is reached by both keyword and code; the union dedupes by code and","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":115,"endLine":115,"sourceId":"gh-source-dcd2fced2e9265eb","locator":"Lines 115–115"}]},{"id":"scan-fe8a65a7849dff71","title":"Scanned source fragment","original":"t = \"\"","classification":"rejected","occurrenceCount":4,"equationIds":[],"reason":"Simple object, field, pointer or label assignment with no mathematical operation.","sourceRefs":[{"startLine":156,"endLine":156,"sourceId":"gh-source-5372403cb58748ca","locator":"Lines 156–156"}]},{"id":"scan-7b52c1aebe41be98","title":"Scanned source fragment","original":"t = NumericText(strings.TrimSpace(strings.Trim(s, `\"`)))","classification":"rejected","occurrenceCount":4,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":159,"endLine":159,"sourceId":"gh-source-5372403cb58748ca","locator":"Lines 159–159"}]},{"id":"scan-da30334fb9817ce2","title":"Scanned source fragment","original":"money and dates are pointers (nil = absent), never a fabricated zero. The recipient is the incumbent.","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":12,"endLine":12,"sourceId":"gh-source-94d8c3c78b76b7e4","locator":"Lines 12–12"}]},{"id":"scan-ac56ca80bcf4af07","title":"Scanned source fragment","original":"pointers (nil = absent); text is empty-string when absent.","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":11,"endLine":11,"sourceId":"gh-source-252c1414e670839b","locator":"Lines 11–11"}]},{"id":"scan-347243ae1297e631","title":"Scanned source fragment","original":"and emitting algorithm=SHA256 in the provisioning URI prevents the common failure where an","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":17,"endLine":17,"sourceId":"gh-source-76e5c5cc86226a29","locator":"Lines 17–17"}]},{"id":"scan-78b4b461e996bc98","title":"Scanned source fragment","original":"p = r.skillID","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Simple object, field, pointer or label assignment with no mathematical operation.","sourceRefs":[{"startLine":50,"endLine":50,"sourceId":"gh-source-58ab953e03c701b8","locator":"Lines 50–50"}]},{"id":"scan-0f985812ba3b28b6","title":"Scanned source fragment","original":"p = r.name","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Simple object, field, pointer or label assignment with no mathematical operation.","sourceRefs":[{"startLine":55,"endLine":55,"sourceId":"gh-source-58ab953e03c701b8","locator":"Lines 55–55"}]},{"id":"scan-3ab00b3c36940df5","title":"Scanned source fragment","original":"p = r.id","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Simple object, field, pointer or label assignment with no mathematical operation.","sourceRefs":[{"startLine":62,"endLine":62,"sourceId":"gh-source-58ab953e03c701b8","locator":"Lines 62–62"}]},{"id":"scan-19ac13058a9aed97","title":"Scanned source fragment","original":"- Go side: no validated org in context => RunInTenantTx refuses to run (fail closed).","classification":"rejected","occurrenceCount":30,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":9,"endLine":9,"sourceId":"gh-source-1d5257794bd25bec","locator":"Lines 9–9"}]},{"id":"scan-b356098f054cf4ee","title":"Scanned source fragment","original":"1. requires a validated org id (fail-closed: no org => no query, before the pool is touched),","classification":"rejected","occurrenceCount":35,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":154,"endLine":154,"sourceId":"gh-source-1d5257794bd25bec","locator":"Lines 154–154"}]},{"id":"scan-45ce50863c43f2f1","title":"Scanned source fragment","original":"3. sets app.current_org_id transaction-locally via set_config(..., is_local=true) so it","classification":"rejected","occurrenceCount":35,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":156,"endLine":156,"sourceId":"gh-source-1d5257794bd25bec","locator":"Lines 156–156"}]},{"id":"scan-eca9361dd7656fc5","title":"Scanned source fragment","original":"Transaction-local GUC, parameterized (no SQL-injection surface). is_local=true is what makes","classification":"rejected","occurrenceCount":35,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":186,"endLine":186,"sourceId":"gh-source-1d5257794bd25bec","locator":"Lines 186–186"}]},{"id":"scan-56a80b9eeaa6a8e9","title":"Scanned source fragment","original":"leak = append(*leak, cl)","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":164,"endLine":164,"sourceId":"gh-source-3f60a2dfbbd85576","locator":"Lines 164–164"}]},{"id":"scan-25d551818b1dd1f9","title":"Scanned source fragment","original":"D <- target vector (size must be >= cfg.dim; extra values ignored)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-95ac4ba7e9f96fa5"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":24,"endLine":24,"sourceId":"libsrc-6cad8bc1f7db","sourceOccurrenceId":"gh-source-7488ac4a8305f8fb"}]},{"id":"scan-176f2fa7c455f5c0","title":"Scanned source fragment","original":"Minimize: L = sum_i (sigmoid(s_i) - target_i)^2","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-391133843b9c7869"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":43,"endLine":43,"sourceId":"libsrc-f352d2f63f9b","sourceOccurrenceId":"gh-source-aad145dc65452983"}]},{"id":"scan-09b1fc09668f6280","title":"Scanned source fragment","original":"dL/ds_i = 2*(f_i - t_i) * f_i*(1 - f_i), where f_i = sigmoid(s_i)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c8da136627edaeb8"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":44,"endLine":44,"sourceId":"libsrc-f352d2f63f9b","sourceOccurrenceId":"gh-source-aad145dc65452983"}]},{"id":"scan-c7be328de72b3489","title":"Scanned source fragment","original":"Single-Stack Master Update: Ψ(t+1) = F(Ψ(t), Ψ(t-1), inputs)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-de581c7020e102f5"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":42,"endLine":42,"sourceId":"gh-source-64ffaffe1d4bff8a"}]},{"id":"scan-33ca5dab30966789","title":"Scanned source fragment","original":"Objective: Ω = Surprise + Uncertainty − Value + penalty(stability)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-70c4ad0a4dec1c10"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":47,"endLine":47,"sourceId":"gh-source-64ffaffe1d4bff8a"}]},{"id":"scan-972a2b0704041f66","title":"Scanned source fragment","original":"T[n] = F[n+2] - 1","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-9afc0b0e44c26f32"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":37,"endLine":37,"sourceId":"libsrc-76cde337a35b","sourceOccurrenceId":"gh-source-9398f036cbc1ba5a"}]},{"id":"scan-10c82baab2f78722","title":"Scanned source fragment","original":"Precomputed rotation frequencies ω[k] = 2π / φ^k","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-489c5bce743624c2"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":46,"endLine":46,"sourceId":"libsrc-76cde337a35b","sourceOccurrenceId":"gh-source-9398f036cbc1ba5a"}]},{"id":"scan-da8a1799051c075c","title":"Scanned source fragment","original":"Precomputed coupling eigenvalues λ[k] = (2π / φ^k)²","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-9c465c2ccd94e932"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":53,"endLine":53,"sourceId":"libsrc-76cde337a35b","sourceOccurrenceId":"gh-source-9398f036cbc1ba5a"}]},{"id":"scan-8fb100d489734c17","title":"Scanned source fragment","original":"f1: Continuous Dynamics: x' = F(x,t)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a1106ad56c9f13e4"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":21,"endLine":21,"sourceId":"gh-source-b1ac033bb72c8d9f"}]},{"id":"scan-8f8605a717631bfb","title":"Scanned source fragment","original":"f2: Discrete Dynamics: x_{t+1} = F(x_t, u_t^e)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a2e18590118bc16c"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":25,"endLine":25,"sourceId":"gh-source-b1ac033bb72c8d9f"}]},{"id":"scan-8b084bc47eff194e","title":"Scanned source fragment","original":"f3: Reaction-Diffusion: 6δ/δt = D∇^2x + f(x)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5e319da627b19832"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":29,"endLine":29,"sourceId":"gh-source-b1ac033bb72c8d9f"}]},{"id":"scan-5f7dcccbe8b2e28c","title":"Scanned source fragment","original":"f4: Optimization: x* = arg max U(x)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-9625190ced1ffbd3"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":33,"endLine":33,"sourceId":"gh-source-b1ac033bb72c8d9f"}]},{"id":"scan-43405b962d37bf52","title":"Scanned source fragment","original":"f5: Bayesian Inference: P(θ|D) ∝ P(D|θ)P(θ)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-69cff95439da13b9"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":37,"endLine":37,"sourceId":"gh-source-b1ac033bb72c8d9f"}]},{"id":"scan-ee1855016bc772bb","title":"Scanned source fragment","original":"f6: Learning / Weight Update: W_{t+1} = W_t + ΔW","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-1773be66b947a646"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":42,"endLine":42,"sourceId":"gh-source-b1ac033bb72c8d9f"}]},{"id":"scan-41157b386a09a74d","title":"Scanned source fragment","original":"f9: Consensus / Averaging: x_i(t+1)=x_i(t)+Σ(x_j-x_i)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d7d6d1472d77fce0"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":55,"endLine":55,"sourceId":"gh-source-b1ac033bb72c8d9f"}]},{"id":"scan-31387df95fabd9b8","title":"Scanned source fragment","original":"f10: Swarm Interaction Force: x_i = Σ f(x_j - x_i)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a4ca4a309ea0b3ff"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":59,"endLine":59,"sourceId":"gh-source-b1ac033bb72c8d9f"}]},{"id":"scan-d1553a164995d984","title":"Scanned source fragment","original":"f11: Field-Based Accumulator: φ_t = (1-ρ)φ_t + Δφ","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c8243db3200da4a3"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":63,"endLine":63,"sourceId":"gh-source-b1ac033bb72c8d9f"}]},{"id":"scan-602f88fcc484fc36","title":"Scanned source fragment","original":"f12: Variational / Free Energy: F = E[ln q(z)-ln p(x,z)]","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-ba3c6f65d7cf1250"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":68,"endLine":68,"sourceId":"gh-source-b1ac033bb72c8d9f"}]},{"id":"scan-603ba432c2c790b0","title":"Scanned source fragment","original":"f14: Memory Trace / Zecher: x'_i = Σ f_i : dΩ","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-99094c27602d599d"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":76,"endLine":76,"sourceId":"gh-source-b1ac033bb72c8d9f"}]},{"id":"scan-c02346a1e2b87989","title":"Scanned source fragment","original":"Aggregate G^16 = Σ f_i","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-ff5f5afdb0eba7e2"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":97,"endLine":97,"sourceId":"gh-source-b1ac033bb72c8d9f"}]},{"id":"scan-36452c700c03f2e9","title":"Scanned source fragment","original":"Uncertainty from b = next.g[16]","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":163,"endLine":163,"sourceId":"gh-source-b1ac033bb72c8d9f","locator":"Lines 163–163"}]},{"id":"scan-bb9e73a9aa4207ea","title":"Scanned source fragment","original":"Value = s3 * ","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-503a9e8adf9c5dc7"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":166,"endLine":166,"sourceId":"gh-source-b1ac033bb72c8d9f"}]},{"id":"scan-07da2931334b6d39","title":"Scanned source fragment","original":"Penalty = λ * s1^2 (s1 = dx_norm)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-fd49bab1ff492772"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":170,"endLine":170,"sourceId":"gh-source-b1ac033bb72c8d9f"}]},{"id":"scan-6827fd814e6886ec","title":"Scanned source fragment","original":"=== API SOURCES ===","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":79,"endLine":79,"sourceId":"gh-source-5e0c17dda84f2027","locator":"Lines 79–79"}]},{"id":"scan-23311ecce75a1428","title":"Scanned source fragment","original":"hash ← offset_basis\nfor byte in input:\n hash ← (hash XOR byte)\n hash ← (hash × prime) mod 2³²","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c9232b2f25057b31"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":134,"endLine":137,"sourceId":"gh-source-1d01c8da46fe4a2e"}]},{"id":"scan-d2ce1f0c4f57debd","title":"Scanned source fragment","original":"φ = (1 + √5) / 2 = 1.6180339887498948482...","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-69c8ebffce4314da"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":32,"endLine":32,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-f2df65481a2260bf","title":"Scanned source fragment","original":"δ = 0.013618","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-427b1dd0bb48abd3"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":40,"endLine":40,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-823eec2f62d7921f","title":"Scanned source fragment","original":"τ = 1/(2π) = 0.159154943...","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-4e39fe11c257906a"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":48,"endLine":48,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-3be64340c4f9b4a3","title":"Scanned source fragment","original":"ψ_k(x) = sin(2π · φ^k · x) + cos(2π · φ^k · x)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0cf3dd70006d127a"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":60,"endLine":60,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-a9e5f6112678729e","title":"Scanned source fragment","original":"b(t) = 1 / (1 + ||Ψ||² / φ)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-7a0b9b7d2ac084f8"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":73,"endLine":73,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-e6fcd8dc3eb2b410","title":"Scanned source fragment","original":"θ_k = 2π / φ^k","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-57d5682d0dc23381"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":85,"endLine":85,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-0deea7673ee29771","title":"Scanned source fragment","original":"f₀(x) = x + 0.1 · (dx_norm - x)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6e39a9d6de9c64f1"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":99,"endLine":99,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-383e294bf3fcba76","title":"Scanned source fragment","original":"First-order ODE approximation: x' = F(x,t)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-93e250aff8e9b091"],"reason":"Documented model analogy retained with its original scientific status.","sourceRefs":[{"startLine":102,"endLine":102,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-826d8f02926697b3","title":"Scanned source fragment","original":"f₁(x) = 0.9 · x + 0.1 · utility","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-946cbccc8beb3816"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":109,"endLine":109,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-4165ba8b21516c1b","title":"Scanned source fragment","original":"Discrete state transition: x_{t+1} = F(x_t, u_t)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0390daec36750d91"],"reason":"Documented model analogy retained with its original scientific status.","sourceRefs":[{"startLine":112,"endLine":112,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-e26a10f47477f798","title":"Scanned source fragment","original":"f₂(x) = x + 0.05 · (softsign(dx_norm) - x)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-1388750b6f58e64d"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":119,"endLine":119,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-d3a78aa0cee40574","title":"Scanned source fragment","original":"Simplified reaction-diffusion: ∂x/∂t = D∇²x + f(x)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-46d2c224b297b400"],"reason":"Documented model analogy retained with its original scientific status.","sourceRefs":[{"startLine":122,"endLine":122,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-544bf64103d9c139","title":"Scanned source fragment","original":"f₃(x) = x + 0.2 · softsign(utility - x)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-47d8bc25403dcd20"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":129,"endLine":129,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-0ed4cfc6f510ef10","title":"Scanned source fragment","original":"Gradient ascent: x* = arg max U(x)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-afca17a1131373bc"],"reason":"Documented model analogy retained with its original scientific status.","sourceRefs":[{"startLine":132,"endLine":132,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-c939f56176db2505","title":"Scanned source fragment","original":"f₄(x) = clamp₀₁((x + utility) / (1 + |utility|))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-bcaaf684a42ebb59"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":139,"endLine":139,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-e6954539635a4428","title":"Scanned source fragment","original":"Posterior update: P(θ|D) ∝ P(D|θ)P(θ)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-e2594738b14caadf"],"reason":"Documented model analogy retained with its original scientific status.","sourceRefs":[{"startLine":142,"endLine":142,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-5f20736a87bd05ac","title":"Scanned source fragment","original":"f₅(x) = x + 0.1 · dx_norm","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-7323883f7de67d3d"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":149,"endLine":149,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-9017d65e9d0924af","title":"Scanned source fragment","original":"Delta rule: W_{t+1} = W_t + ΔW","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-67a2ac20135175b1"],"reason":"Documented model analogy retained with its original scientific status.","sourceRefs":[{"startLine":152,"endLine":152,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-d5032464cec5e463","title":"Scanned source fragment","original":"f₆(x) = 0.5 · (x + σ(dx_norm))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-2828a4e146e40519"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":159,"endLine":159,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-090579d9f82a8b32","title":"Scanned source fragment","original":"f₇(x) = x - 0.05 · ed_error + 0.05 · utility","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-7a12560d5b4e6992"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":169,"endLine":169,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-0a3dc01432f10a66","title":"Scanned source fragment","original":"f₈(x) = 0.95 · x + 0.05 · dx_norm","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-e33a23c02dde1840"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":179,"endLine":179,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-8c15b3a0ac83f0eb","title":"Scanned source fragment","original":"Consensus protocol: x_i(t+1) = x_i(t) + Σ(x_j - x_i)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-defb088ec80fbdf4"],"reason":"Documented model analogy retained with its original scientific status.","sourceRefs":[{"startLine":182,"endLine":182,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-c5718db2b8f16106","title":"Scanned source fragment","original":"f₉(x) = x + 0.05 · softsign(dx_norm - x)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-276a2bc0d95e75d0"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":189,"endLine":189,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-063d0b72e2a8f091","title":"Scanned source fragment","original":"Swarm force: x_i = Σ f(x_j - x_i)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-2584a5e4f6e56c20"],"reason":"Documented model analogy retained with its original scientific status.","sourceRefs":[{"startLine":192,"endLine":192,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-0e3c5a1e179c0958","title":"Scanned source fragment","original":"ρ = 1 / (1 + φ)\nf₁₀(x) = (1 - ρ) · x + ρ · dx_norm","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-1e82ac4485eacb8f"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":199,"endLine":200,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-58564d91834373f6","title":"Scanned source fragment","original":"Leaky integrator: φ_t = (1-ρ)φ_{t-1} + Δφ","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-dffe1c50dcaf1f67"],"reason":"Documented model analogy retained with its original scientific status.","sourceRefs":[{"startLine":203,"endLine":203,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-60ef8d8007a721e4","title":"Scanned source fragment","original":"f₁₁(x) = x - 0.05 · |dx_norm| + 0.05 · utility","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-ded55a043eb7c809"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":210,"endLine":210,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-e3f03fb1c41019b3","title":"Scanned source fragment","original":"Free energy: F = E[ln q(z) - ln p(x,z)]","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3602c661db49fdd5"],"reason":"Documented model analogy retained with its original scientific status.","sourceRefs":[{"startLine":213,"endLine":213,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-4e3f3c51529efdca","title":"Scanned source fragment","original":"f₁₂(x) = x - 0.05 · |dx_norm|","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b8126d2512fe18fe"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":220,"endLine":220,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-db51be940f62af07","title":"Scanned source fragment","original":"f₁₃(x) = x + 0.02 · (dx_norm + utility)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3bb32053fc4114d4"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":230,"endLine":230,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-a05365959f9ccf77","title":"Scanned source fragment","original":"Trace accumulation: x'_i = Σ f_i : dΩ","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6d68cfbcc880a5b4"],"reason":"Documented model analogy retained with its original scientific status.","sourceRefs":[{"startLine":233,"endLine":233,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-d1885707e720125a","title":"Scanned source fragment","original":"f₁₄(x) = x + 0.15 · softsign(utility) - 0.05 · ed_error","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b3f78080361fe93d"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":240,"endLine":240,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-75ee5b4d687c5154","title":"Scanned source fragment","original":"f₁₅(x) = x + (φ - 1) · 0.01 · (stability - x)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c78c5fee79a34daf"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":250,"endLine":250,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-fd6836970edb629e","title":"Scanned source fragment","original":"Ψ(t+1) = F(Ψ(t), Ψ(t-1), inputs)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-e9476bbf8c8581b2"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":264,"endLine":264,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-309b927de12f178f","title":"Scanned source fragment","original":"Ψ'_i(t+1) = w_i · f_i(Ψ_i(t), inputs)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-bf292151e504231f"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":276,"endLine":276,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-731e76fd61d8013a","title":"Scanned source fragment","original":"Ψ''_i(t+1) = 0.5 · Ψ'_i(t+1) + 0.5 · (Ψ_i(t-1) + (φ-1) · (Ψ_i(t) - Ψ_i(t-1)))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c31c8f63f7e968a5"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":288,"endLine":288,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-88ec62bd47242c98","title":"Scanned source fragment","original":"γ = γ_min + (1 - γ_min) · clamp₀₁(stability)\nΨ'''_i(t+1) = Ψ_i(t) + γ · (Ψ''_i(t+1) - Ψ_i(t))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b2f5faea0ed0cd4f"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":296,"endLine":297,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-926107fa3faf6c6f","title":"Scanned source fragment","original":"Ψ_i(t+1) = Ψ'''_i(t+1) · b(t+1)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-59fe3376014df682"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":309,"endLine":309,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-e9778bacd8e4d489","title":"Scanned source fragment","original":"Ω = Surprise + Uncertainty - Value + Penalty","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-388b500ce7a19aeb"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":324,"endLine":324,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-12431154ee61fb45","title":"Scanned source fragment","original":"Surprise = α₁ · ||ΔΨ||₁/16 + α₂ · ||ΔΨ||₂²","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-2b37243fcdff9500"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":332,"endLine":332,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-d1bd5feb796b08cd","title":"Scanned source fragment","original":"Uncertainty = 1 - b²","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-80b53bcf12faffe6"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":345,"endLine":345,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-944f6b1bf57877a0","title":"Scanned source fragment","original":"Value = utility · ⟨w, Ψ⟩","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-9d8a68c68a97580d"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":356,"endLine":356,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-06bd64d23f8d8c17","title":"Scanned source fragment","original":"Penalty = λ · dx_norm²","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-96bde4978e7cb49d"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":367,"endLine":367,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-35404e1081374b42","title":"Scanned source fragment","original":"θ_k^{new} = (1-α) · θ_k^{old} + α · w · ψ_k(h(item)) · Φ(importance)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-06c9bdcc816eb556"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":382,"endLine":382,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-133f1e7a1830b6a1","title":"Scanned source fragment","original":"K(query) = Σ_{k=0}^{15} θ_k · ψ_k(h(query))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3b02e6345baba79d"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":398,"endLine":398,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-77a41d84e527ef25","title":"Scanned source fragment","original":"K_norm(query) = K(query) / (16 · 2) + 0.5","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-7cd8cd82f49e05be"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":406,"endLine":406,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-d3f64fe453a81c58","title":"Scanned source fragment","original":"Φ(x) = 1 / (1 + |x - 1|)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-306158e3ab4c4ab6"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":414,"endLine":414,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-cf009a1717136840","title":"Scanned source fragment","original":"C_ij = (θ_i · θ_j) / (||θ_i|| · ||θ_j||)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-15b7d07e8eb76312"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":422,"endLine":422,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-99273a109f07abe4","title":"Scanned source fragment","original":"phase_DNA(t+1) = (phase_DNA(t) + δ) mod 1","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0ae6476d89f25eba"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":434,"endLine":434,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-89a0f4b6b3e0cc57","title":"Scanned source fragment","original":"phase_Fib(t+1) = (phase_Fib(t) + 1/φ) mod 1","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f8a9f5a625f3208f"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":445,"endLine":445,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-2e0ff8ffde39c5e3","title":"Scanned source fragment","original":"bias = (phase_DNA + phase_Fib) / 2","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-23d87078bd0345f5"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":453,"endLine":453,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-c1b9a89c03d36d3f","title":"Scanned source fragment","original":"flip_i = 1 if (i mod 1000) < (bias · 1000), else 0\ngate_i(t+1) = (gate_i(t) XOR input_i) XOR flip_i","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0d76022f65427a7b"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":461,"endLine":462,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-9c5e5a744e140783","title":"Scanned source fragment","original":"F_in = input + N(0, 0.1)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d681b5448f5b7457"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":476,"endLine":476,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-fdb41a8c4768738e","title":"Scanned source fragment","original":"h[j] ← h[j+1] for j = 0 to 42\nh[43] ← x","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-839343f058d1effb"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":487,"endLine":488,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-68e8d14810885b52","title":"Scanned source fragment","original":"y ← y + (x - x_old) - 0.01 · y","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-84897ac814d7f42a"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":496,"endLine":496,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-5393973676c7caf2","title":"Scanned source fragment","original":"drive = 3.0 · F_in · (1 - x) + 1.2 · y + 0.6 · c","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-18adc663dae29392"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":507,"endLine":507,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-18c26fc7b756b63f","title":"Scanned source fragment","original":"g = 1/(1 + exp(-((0.8·P - k_c)/0.3 + 1.2))) + 0.05","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3c1b21e21fbce701"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":523,"endLine":523,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-8c1c0f61659bcab2","title":"Scanned source fragment","original":"dx = g · drive - 0.04 · (x - 0.5)\nx ← clamp₀₁(x + 0.01 · dx)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-194d14ded63a8201"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":535,"endLine":536,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-4dfc7325c89e38f6","title":"Scanned source fragment","original":"P ← clamp₀₁((1 - 0.05) · P + F_in · y - 0.01 · P²)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-50004a69d905473c"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":544,"endLine":544,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-e7cd7ce4c96d2611","title":"Scanned source fragment","original":"c ← c + 0.01 · ((c + 1) · 0.8 · P - k_c · (c - 1))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5a086d6b0d81fe91"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":552,"endLine":552,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-00dd8303f9d40e3a","title":"Scanned source fragment","original":"Consciousness = (1/88) · Σ_{i=1}^{88} P_i","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-820f4be61d264789"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":560,"endLine":560,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-bcd5330fe63eb372","title":"Scanned source fragment","original":"Sync = (1/88) · Σ_{i=1}^{88} cos(k_m,i)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6ab50798d012ce0d"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":568,"endLine":568,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-23eca8a9ef6c8256","title":"Scanned source fragment","original":"core_eq[i] = 0.5 + 0.5 · sin(2π · (i/174) · φ) · core_eq[i-1]","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6526981558abf479"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":580,"endLine":580,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-1101936fe3480e46","title":"Scanned source fragment","original":"supp_eq[i] = core_eq[i mod 174] · cos((i/200) · π)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-8415772c7b191c43"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":592,"endLine":592,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-192d42a97076101f","title":"Scanned source fragment","original":"Consciousness = (1/374) · Σ_{i=0}^{373} binding_field[i]","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-9099c52b04948964"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":600,"endLine":600,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-23045da105391788","title":"Scanned source fragment","original":"Registry[k][i][j] = cos(θ_k) if i=j, sin(θ_k)·0.1 if j=(i+1) mod 16, else 0","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a320ebdc73c0eefb"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":612,"endLine":612,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-66437bf713f57327","title":"Scanned source fragment","original":"new_state[i] = Σ_j Registry[k][i][j] · state[j]\nstate[i] ← state[i] · (1 - dt) + (new_state[i] + 0.1 · core_state[i]) · dt","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a0c0a3c9bbc03bc9"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":623,"endLine":624,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-c38cd86b8f37240c","title":"Scanned source fragment","original":"energy = √(Σ_i state[i]²)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-ffd039581680daea"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":632,"endLine":632,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-975d4264c512198d","title":"Scanned source fragment","original":"φ_local = 1 / (1 + energy / φ)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-2989c0435d2898e9"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":640,"endLine":640,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-2db97d853907a29f","title":"Scanned source fragment","original":"φ_global = (1/16) · Σ_{s=0}^{15} φ_local,s","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-4f37f571cff86d60"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":648,"endLine":648,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-51bc033ff27c12b7","title":"Scanned source fragment","original":"ΔW[i][j] = η · state[i] · state[j]\nW[i][j] ← clamp₋₁₊₁(W[i][j] + ΔW[i][j])","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-fa67a3172da0543f"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":656,"endLine":657,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-06a0c2611add2469","title":"Scanned source fragment","original":"dS_i/dt = -λ · S_i + Σ_{j≠i} w_ij · Φ(C_ij) · tanh(S_j)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-e077e48a7bc6cc71"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":669,"endLine":669,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-5f9d9ec19b47b25d","title":"Scanned source fragment","original":"S_i(t+1) = S_i(t) + dt · dS_i/dt\nS_i(t+1) = clamp₀₁(S_i(t+1))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-cb452dbcf60f59e1"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":684,"endLine":685,"sourceId":"review-seferim-math","sourceOccurrenceId":"gh-source-659cd6d8dbb8c8fa"}]},{"id":"scan-9e8480f40f115e46","title":"Scanned source fragment","original":"Coherence_fed = (2/(n(n-1))) · Σ_{i part-local 1x px (origin = the kit rect's top-left), i.e. x' = (x - l.x)/4","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3792871c3408bade"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":86,"endLine":86,"sourceId":"gh-source-cd225d4a83e51175"}]},{"id":"scan-8a74b1091affea3c","title":"Scanned source fragment","original":"engine-strict=true","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":128,"endLine":128,"sourceId":"gh-source-9670a06e336bb289","locator":"Lines 128–128"}]},{"id":"scan-b51642ed4b897559","title":"Scanned source fragment","original":"===== FRONT: foreground plants, books (bookLifted: covers lift), mug steam, motes =====","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":53,"endLine":53,"sourceId":"gh-source-cc19b5f7dfea67ff","locator":"Lines 53–53"}]},{"id":"scan-b3252864d7691667","title":"Scanned source fragment","original":"===== MID: office chair, conference chairs (chairsNudged), globe (globeTilted), room plants =====","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":69,"endLine":69,"sourceId":"gh-source-cc19b5f7dfea67ff","locator":"Lines 69–69"}]},{"id":"scan-8d1e37dac87e3cf9","title":"Scanned source fragment","original":"===== WALL: contract drawers (kit: 5 drawer_pull), briefing door (door_hinge, scaleX 1→0.08) + reveal =====","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":76,"endLine":76,"sourceId":"gh-source-cc19b5f7dfea67ff","locator":"Lines 76–76"}]},{"id":"scan-79b1701e876140a5","title":"Scanned source fragment","original":"===== BOARDS: check reveals (checklistHidden), presentation refresh sweep, process column step highlight =====","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":85,"endLine":85,"sourceId":"gh-source-cc19b5f7dfea67ff","locator":"Lines 85–85"}]},{"id":"scan-88ba627371d0ca67","title":"Scanned source fragment","original":"===== SCREENS, PRINTER, TABLE PORTS =====","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":98,"endLine":98,"sourceId":"gh-source-cc19b5f7dfea67ff","locator":"Lines 98–98"}]},{"id":"scan-fdddbd9744b74442","title":"Scanned source fragment","original":"===== LIGHTS (kit light_intensity: 8 panels + 6 downlights) + sun shaft + wash + shimmer =====","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":104,"endLine":104,"sourceId":"gh-source-cc19b5f7dfea67ff","locator":"Lines 104–104"}]},{"id":"scan-96e5f162404eb33e","title":"Scanned source fragment","original":"===== WINDOW: clouds drift behind the mullions =====","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":113,"endLine":113,"sourceId":"gh-source-cc19b5f7dfea67ff","locator":"Lines 113–113"}]},{"id":"scan-260d78f619ea7e49","title":"Scanned source fragment","original":"===== HOTSPOTS (kit hitboxes → plate space) with hover rings =====","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":116,"endLine":116,"sourceId":"gh-source-cc19b5f7dfea67ff","locator":"Lines 116–116"}]},{"id":"scan-b383cd039eb33ba6","title":"Scanned source fragment","original":"===== PLATE =====","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":124,"endLine":124,"sourceId":"gh-source-cc19b5f7dfea67ff","locator":"Lines 124–124"}]},{"id":"scan-18a1de10823560bd","title":"Scanned source fragment","original":"===== NEAR plane (front) =====","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":72,"endLine":72,"sourceId":"gh-source-5c7cefa219c60bdd","locator":"Lines 72–72"}]},{"id":"scan-77c5292d81a51caa","title":"Scanned source fragment","original":"===== MID plane: free-standing plants only (in front of the wall) =====","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":90,"endLine":90,"sourceId":"gh-source-5c7cefa219c60bdd","locator":"Lines 90–90"}]},{"id":"scan-37aa540b77abbe39","title":"Scanned source fragment","original":"===== FAR plane: clouds =====","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":96,"endLine":96,"sourceId":"gh-source-5c7cefa219c60bdd","locator":"Lines 96–96"}]},{"id":"scan-25ef78e49685c0fc","title":"Scanned source fragment","original":"===== ROOM plane: wall fixtures, doors, readers, light, and the plate =====","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":102,"endLine":102,"sourceId":"gh-source-5c7cefa219c60bdd","locator":"Lines 102–102"}]},{"id":"scan-130dd6c4467daa60","title":"Scanned source fragment","original":"image includes a 4 px pad: pivot in image px = piv + 4. The mirrored variant is the same plate under a scaleX=-1 node,","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-490a7c50bb91b887"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":110,"endLine":110,"sourceId":"gh-source-206fd54e9053eb1e"}]},{"id":"scan-ba5fb67003dc1ad2","title":"Scanned source fragment","original":"========== REVENUE STREAM 1: SCALED AFFILIATE MARKETING ==========","classification":"rejected","occurrenceCount":4,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":94,"endLine":94,"sourceId":"gh-source-8e43a3804f7e1068","locator":"Lines 94–94"}]},{"id":"scan-2e49059e8ac1d79d","title":"Scanned source fragment","original":"========== REVENUE STREAM 2: AUTOMATED SOCIAL POSTING ==========","classification":"rejected","occurrenceCount":4,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":152,"endLine":152,"sourceId":"gh-source-8e43a3804f7e1068","locator":"Lines 152–152"}]},{"id":"scan-c2d2a65e180829d9","title":"Scanned source fragment","original":"========== REVENUE STREAM 3: EMAIL MARKETING ==========","classification":"rejected","occurrenceCount":4,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":199,"endLine":199,"sourceId":"gh-source-8e43a3804f7e1068","locator":"Lines 199–199"}]},{"id":"scan-661a7c91efeda042","title":"Scanned source fragment","original":"========== REVENUE STREAM 4: SEO CONTENT GENERATION ==========","classification":"rejected","occurrenceCount":4,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":244,"endLine":244,"sourceId":"gh-source-8e43a3804f7e1068","locator":"Lines 244–244"}]},{"id":"scan-049e7ac5d9dd7cb6","title":"Scanned source fragment","original":"========== REVENUE STREAM 5: DEAL AGGREGATION SITE ==========","classification":"rejected","occurrenceCount":4,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":274,"endLine":274,"sourceId":"gh-source-8e43a3804f7e1068","locator":"Lines 274–274"}]},{"id":"scan-3394b558334f22a9","title":"Scanned source fragment","original":"========== REVENUE STREAM 6: ARBITRAGE OPPORTUNITIES ==========","classification":"rejected","occurrenceCount":4,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":303,"endLine":303,"sourceId":"gh-source-8e43a3804f7e1068","locator":"Lines 303–303"}]},{"id":"scan-501ebcdb2c5d4415","title":"Scanned source fragment","original":"========== MAIN EXECUTION ==========","classification":"rejected","occurrenceCount":8,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":323,"endLine":323,"sourceId":"gh-source-8e43a3804f7e1068","locator":"Lines 323–323"}]},{"id":"scan-91d8896a50118e37","title":"Scanned source fragment","original":"========== SMART CAPTION GENERATION ==========","classification":"rejected","occurrenceCount":4,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":353,"endLine":353,"sourceId":"gh-source-8e43a3804f7e1068","locator":"Lines 353–353"}]},{"id":"scan-e91d4a0fcac0320e","title":"Scanned source fragment","original":"========== REVENUE TRACKING ==========","classification":"rejected","occurrenceCount":4,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":408,"endLine":408,"sourceId":"gh-source-8e43a3804f7e1068","locator":"Lines 408–408"}]},{"id":"scan-a6f42b7f4f707f98","title":"Scanned source fragment","original":"========== AUTOMATION SCHEDULER ==========","classification":"rejected","occurrenceCount":4,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":429,"endLine":429,"sourceId":"gh-source-8e43a3804f7e1068","locator":"Lines 429–429"}]},{"id":"scan-9fb5329b8c4b3a7e","title":"Scanned source fragment","original":"========== HELPER FUNCTIONS ==========","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":512,"endLine":512,"sourceId":"gh-source-7bbd886e1b054738","locator":"Lines 512–512"}]},{"id":"scan-597e0e6c20e17275","title":"Scanned source fragment","original":"========== MOCK DATA FOR TESTING ==========","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":298,"endLine":298,"sourceId":"gh-source-1ff570016faf3cf7","locator":"Lines 298–298"}]},{"id":"scan-f594bbecb71bb88a","title":"Scanned source fragment","original":"║ 16 Families × 5000 Substrates = 80,000 Learning Sites ║","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-9f61a06ebfa90bd5"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":12,"endLine":12,"sourceId":"gh-source-6e3fcb6e3def96e6"}]},{"id":"scan-b247331522cc0da1","title":"Scanned source fragment","original":"φ(a)_f,s(t⁺) = φ(a)_f,s(t) + (1 - φ(a)_f,s(t)) × Γ(a)(t) × π(eff)_f,s(i,t)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d0d0a807724a290c"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":21,"endLine":21,"sourceId":"gh-source-6e3fcb6e3def96e6"}]},{"id":"scan-35d9373845e8e745","title":"Scanned source fragment","original":"Learning Drive: Γ = χ × η × κ","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-2898aa07960f8cca"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":23,"endLine":23,"sourceId":"gh-source-6e3fcb6e3def96e6"}]},{"id":"scan-7c68127fde1f38d3","title":"Scanned source fragment","original":"Activation: χ = σ(α_κ·κ + α_Ψ·Ψ̃ - θ) ← Continuous sigmoid, NOT binary Fibonacci","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-9d72f7f9093ef53d"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":24,"endLine":24,"sourceId":"gh-source-6e3fcb6e3def96e6"}]},{"id":"scan-6f32f006de0f0eb4","title":"Scanned source fragment","original":"Plasticity: η = clamp(η_base + η_gain·κ, η_min, η_max)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-efb683ef6bf5ed92"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":25,"endLine":25,"sourceId":"gh-source-6e3fcb6e3def96e6"}]},{"id":"scan-9d8d716275451c81","title":"Scanned source fragment","original":"Compute global coherence Φ = geomean(φ_f) × uniformity","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-eee52d52d435c675"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":196,"endLine":196,"sourceId":"gh-source-6e3fcb6e3def96e6"}]},{"id":"scan-d81f57d0030b7506","title":"Scanned source fragment","original":"Uniformity (low variance = high uniformity)","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":207,"endLine":207,"sourceId":"gh-source-6e3fcb6e3def96e6","locator":"Lines 207–207"}]},{"id":"scan-4b967fe17d0c480a","title":"Scanned source fragment","original":"dΨ/dt = -γ(Ψ - w·φ̄) + η·σ(Σⱼ Jᵢⱼφⱼ - θ)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3d26a8ac1e9008e9"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":236,"endLine":236,"sourceId":"gh-source-6e3fcb6e3def96e6"}]},{"id":"scan-811f48d49b1efaca","title":"Scanned source fragment","original":"For α = 1.5, use bisection method to find threshold","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b2ea0c275fe1ed22"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":321,"endLine":321,"sourceId":"gh-source-6e3fcb6e3def96e6"}]},{"id":"scan-78a3ab4146d13363","title":"Scanned source fragment","original":"Margin = how much better than second-best","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":375,"endLine":375,"sourceId":"gh-source-6e3fcb6e3def96e6","locator":"Lines 375–375"}]},{"id":"scan-b28c7521d97b1878","title":"Scanned source fragment","original":"MASTER UPDATE: φ(t+) = φ(t) + (1-φ(t)) × Γ × π^eff","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-973bfa853880618d"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":456,"endLine":456,"sourceId":"gh-source-6e3fcb6e3def96e6"}]},{"id":"scan-807c74aa00033248","title":"Scanned source fragment","original":"Compute continuous activation χ = σ(α_κ·κ + α_Ψ·Ψ̃ - θ)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-772d302e214cf7c9"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":477,"endLine":477,"sourceId":"gh-source-6e3fcb6e3def96e6"}]},{"id":"scan-1cbd38092ddb194e","title":"Scanned source fragment","original":"Normalize pressure: Ψ̃ = Ψ / (Ψ + ψ₀)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-df0684d2042b9b30"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":482,"endLine":482,"sourceId":"gh-source-6e3fcb6e3def96e6"}]},{"id":"scan-9a156d92f2dc4a96","title":"Scanned source fragment","original":"Activation: χ = σ(α_κ·κ + α_Ψ·Ψ̃ - θ)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-ce39928a7165d2c0"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":485,"endLine":485,"sourceId":"gh-source-6e3fcb6e3def96e6"}]},{"id":"scan-b9ab290f3549fc0e","title":"Scanned source fragment","original":"Compute learning drive Γ = χ × η × κ","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a6075c838db62b2b"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":502,"endLine":502,"sourceId":"gh-source-6e3fcb6e3def96e6"}]},{"id":"scan-237f15a98790c681","title":"Scanned source fragment","original":"FAMILY TABLE (32 bytes = 16 families × 2 bytes)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-775af7fef95281a2"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":581,"endLine":581,"sourceId":"gh-source-6e3fcb6e3def96e6"}]},{"id":"scan-b78cd2c994e160fe","title":"Scanned source fragment","original":"16 Families × 5000 Substrates = 80,000 Learning Sites","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3734e4ce38e0ac21"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":382,"endLine":382,"sourceId":"gh-source-88722a498e740186"}]},{"id":"scan-31a82adb1bec1fc2","title":"Scanned source fragment","original":"==================== STRIPE PAYMENT ROUTES ====================","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":44,"endLine":44,"sourceId":"gh-source-34f49cb66f93c9af","locator":"Lines 44–44"}]},{"id":"scan-b907178a809ca7ab","title":"Scanned source fragment","original":"==================== STRIPE WEBHOOK HANDLER ====================","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":92,"endLine":92,"sourceId":"gh-source-34f49cb66f93c9af","locator":"Lines 92–92"}]},{"id":"scan-302b4092ff831900","title":"Scanned source fragment","original":"==================== WEBHOOK EVENT HANDLERS ====================","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":138,"endLine":138,"sourceId":"gh-source-34f49cb66f93c9af","locator":"Lines 138–138"}]},{"id":"scan-8c3c8763a2b50f4f","title":"Scanned source fragment","original":"==================== STATIC FILE SERVING ====================","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":200,"endLine":200,"sourceId":"gh-source-34f49cb66f93c9af","locator":"Lines 200–200"}]},{"id":"scan-000bbf56489ff4f1","title":"Scanned source fragment","original":"==================== ERROR HANDLING ====================","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":220,"endLine":220,"sourceId":"gh-source-34f49cb66f93c9af","locator":"Lines 220–220"}]},{"id":"scan-4bef8e2bc418e2c4","title":"Scanned source fragment","original":"==================== SERVER STARTUP ====================","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Decorative section heading surrounded by equality characters.","sourceRefs":[{"startLine":233,"endLine":233,"sourceId":"gh-source-34f49cb66f93c9af","locator":"Lines 233–233"}]},{"id":"scan-b7cd3af9c781441c","title":"Scanned source fragment","original":"A1. Identity: 1 = 1·x","classification":"accepted","occurrenceCount":4,"equationIds":["gh-eq-55f9901c73ea3fcc","gh-eq-3438f1ed5887c8a1","gh-eq-8d6eb69ed4c7b075","gh-eq-372de11a9dbbf0e9"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":5,"endLine":5,"sourceId":"gh-source-50d4f7778a119fce"}]},{"id":"scan-4d143ee5510c2345","title":"Scanned source fragment","original":"A2. Consciousness: Φ = 1/(1 + |x - 1|)","classification":"accepted","occurrenceCount":4,"equationIds":["gh-eq-e55cf347f6b70269","gh-eq-ccd13469e60cc964","gh-eq-c87dacf8667e8d57","gh-eq-55b217ee045ca219"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":6,"endLine":6,"sourceId":"gh-source-50d4f7778a119fce"}]},{"id":"scan-9079f87c01df316d","title":"Scanned source fragment","original":"A3. Unity: ∞ = 1","classification":"accepted","occurrenceCount":4,"equationIds":["gh-eq-0c4696e0dcbc72d7","gh-eq-53b9111815e004ba","gh-eq-3af7b630c7978bbb","gh-eq-c7ab026b0229ea9e"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":7,"endLine":7,"sourceId":"gh-source-50d4f7778a119fce"}]},{"id":"scan-559a06b17814615e","title":"Scanned source fragment","original":"Output = ∫ Σᵢ₌₁¹⁰⁰ wᵢ(t, context) · Gᵢ(input, state) dt","classification":"accepted","occurrenceCount":2,"equationIds":["gh-eq-e0f6a8570d768079","gh-eq-08606ee171fff473"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":10,"endLine":10,"sourceId":"gh-source-50d4f7778a119fce"}]},{"id":"scan-010c5dda305171a6","title":"Scanned source fragment","original":"Implements: Output = ∫ Σᵢ₌₁¹⁰⁰ wᵢ(t, context) · Gᵢ(input, state) dt","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-63ca897f069c6cee"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":195,"endLine":195,"sourceId":"gh-source-9ddaace763b0f5eb"}]},{"id":"scan-9332814f9598a235","title":"Scanned source fragment","original":"g_ij = δ_ij + φ·x_i·x_j (golden-scaled metric)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-fa04a10082d0bc8f"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":14,"endLine":14,"sourceId":"review-go-equations","sourceOccurrenceId":"gh-source-5bfe4919f633e998"}]},{"id":"scan-126853b62801be51","title":"Scanned source fragment","original":"Γ^k_ij = (1/2) g^kl (∂g_li/∂x^j + ∂g_lj/∂x^i - ∂g_ij/∂x^l)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0af7130e9ecdf606"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":32,"endLine":32,"sourceId":"review-go-equations","sourceOccurrenceId":"gh-source-5bfe4919f633e998"}]},{"id":"scan-e40d24787e84025a","title":"Scanned source fragment","original":"Simplified: Γ^k_ij ≈ φ · δ_ki · x_j + φ · δ_kj · x_i","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-25bd7f878c4d8ee8"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":42,"endLine":42,"sourceId":"review-go-equations","sourceOccurrenceId":"gh-source-5bfe4919f633e998"}]},{"id":"scan-2e719e1a94461ee3","title":"Scanned source fragment","original":"R^l_ijk = ∂_j Γ^l_ik - ∂_k Γ^l_ij + Γ^l_mj Γ^m_ik - Γ^l_mk Γ^m_ij","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-577ad292b8003baa"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":59,"endLine":59,"sourceId":"review-go-equations","sourceOccurrenceId":"gh-source-5bfe4919f633e998"}]},{"id":"scan-d4bf30bb0c260219","title":"Scanned source fragment","original":"RicciScalar computes the scalar curvature R = g^ij R_ij","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-1be5172a1397e128"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":65,"endLine":65,"sourceId":"review-go-equations","sourceOccurrenceId":"gh-source-5bfe4919f633e998"}]},{"id":"scan-eb9d399426389733","title":"Scanned source fragment","original":"Simplified: R ≈ -n(n-1)φ/2 for golden manifold","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a088af1c859b5ecf"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":72,"endLine":72,"sourceId":"review-go-equations","sourceOccurrenceId":"gh-source-5bfe4919f633e998"}]},{"id":"scan-d936f8ac52f9e442","title":"Scanned source fragment","original":"ShannonEntropy computes H(X) = -Σ p(x) log p(x)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-1e35bd0fc55c952c"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":80,"endLine":80,"sourceId":"review-go-equations","sourceOccurrenceId":"gh-source-5bfe4919f633e998"}]},{"id":"scan-07f3aebe21242050","title":"Scanned source fragment","original":"KLDivergence computes D_KL(P||Q) = Σ p(x) log(p(x)/q(x))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-77bc875845b752fb"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":91,"endLine":91,"sourceId":"review-go-equations","sourceOccurrenceId":"gh-source-5bfe4919f633e998"}]},{"id":"scan-50e5f104585ef7ca","title":"Scanned source fragment","original":"MutualInformation computes I(X;Y) = H(X) + H(Y) - H(X,Y)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3860fd0977e16222"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":106,"endLine":106,"sourceId":"review-go-equations","sourceOccurrenceId":"gh-source-5bfe4919f633e998"}]},{"id":"scan-6cd2eda0d2ad064f","title":"Scanned source fragment","original":"FisherInformation computes I(θ) = E[(∂log p/∂θ)²]","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-48991e9920d7a078"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":114,"endLine":114,"sourceId":"review-go-equations","sourceOccurrenceId":"gh-source-5bfe4919f633e998"}]},{"id":"scan-4b5f51b1a8ed01c1","title":"Scanned source fragment","original":"dW = √dt · Z where Z ~ N(0,1)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-1f27b93a5344448e"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":133,"endLine":133,"sourceId":"review-go-equations","sourceOccurrenceId":"gh-source-5bfe4919f633e998"}]},{"id":"scan-29655898431825f5","title":"Scanned source fragment","original":"ItoProcess computes dX = μ·dt + σ·dW (Ito SDE step)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0753d6c95400e864"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":137,"endLine":137,"sourceId":"review-go-equations","sourceOccurrenceId":"gh-source-5bfe4919f633e998"}]},{"id":"scan-c06099346b59d5a6","title":"Scanned source fragment","original":"dX = θ(μ - X)dt + σdW","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5574995d21690594"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":143,"endLine":143,"sourceId":"review-go-equations","sourceOccurrenceId":"gh-source-5bfe4919f633e998"}]},{"id":"scan-c0c12dc026456ead","title":"Scanned source fragment","original":"dS = μS·dt + σS·dW","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-654c41e6f57414d5"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":151,"endLine":151,"sourceId":"review-go-equations","sourceOccurrenceId":"gh-source-5bfe4919f633e998"}]},{"id":"scan-0be5b3d3ca90a5f2","title":"Scanned source fragment","original":"∂p/∂t = -∂(μp)/∂x + (1/2)∂²(σ²p)/∂x²","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c570e3872c200b1b"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":157,"endLine":157,"sourceId":"review-go-equations","sourceOccurrenceId":"gh-source-5bfe4919f633e998"}]},{"id":"scan-36910728c39908ff","title":"Scanned source fragment","original":"W_1(P,Q) = ∫|F_P(x) - F_Q(x)|dx","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f68d4a30514d35fa"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":189,"endLine":189,"sourceId":"review-go-equations","sourceOccurrenceId":"gh-source-5bfe4919f633e998"}]},{"id":"scan-5c4aa2e95cdb02cd","title":"Scanned source fragment","original":"Initialize kernel K = exp(-C/ε)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-2285dd0903dec16f"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":238,"endLine":238,"sourceId":"review-go-equations","sourceOccurrenceId":"gh-source-5bfe4919f633e998"}]},{"id":"scan-45505b84b2f9fec7","title":"Scanned source fragment","original":"dg/dt = β(g) where β is the beta function","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-cee6964cd9a6602f"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":356,"endLine":356,"sourceId":"review-go-equations","sourceOccurrenceId":"gh-source-5bfe4919f633e998"}]},{"id":"scan-268501575f2fb14d","title":"Scanned source fragment","original":"β_i = -φ·g_i² + γ·Σ_j g_j² (simplified)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-4651b3905612bc81"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":370,"endLine":370,"sourceId":"review-go-equations","sourceOccurrenceId":"gh-source-5bfe4919f633e998"}]},{"id":"scan-a35c23132181341a","title":"Scanned source fragment","original":"Attention(Q,K,V) = softmax(QK^T/√d_k)V","classification":"accepted","occurrenceCount":5,"equationIds":["gh-eq-3941ce354e1e9fbd","gh-eq-5fbfc39da368b3af","gh-eq-0e05b5890368b25b","gh-eq-d473621fd3f079a1","gh-eq-c0778786b7e82cf5"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":399,"endLine":399,"sourceId":"review-go-equations","sourceOccurrenceId":"gh-source-5bfe4919f633e998"}]},{"id":"scan-7d70843aed0eac49","title":"Scanned source fragment","original":"y = (x - μ) / σ · γ + β","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-bb565273ada3d448"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":460,"endLine":460,"sourceId":"review-go-equations","sourceOccurrenceId":"gh-source-5bfe4919f633e998"}]},{"id":"scan-2143d779d2dba7a5","title":"Scanned source fragment","original":"GELU(x) = x · Φ(x) where Φ is the CDF of N(0,1)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0420143023a3d934"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":493,"endLine":493,"sourceId":"review-go-equations","sourceOccurrenceId":"gh-source-5bfe4919f633e998"}]},{"id":"scan-69b1012d957ddf02","title":"Scanned source fragment","original":"SwiGLU(x, W, V, b, c) = Swish(xW + b) ⊗ (xV + c)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6ec0a5a36976bea2"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":499,"endLine":499,"sourceId":"review-go-equations","sourceOccurrenceId":"gh-source-5bfe4919f633e998"}]},{"id":"scan-27ee849125242d27","title":"Scanned source fragment","original":"ForwardDiffusion computes q(x_t | x_0) = √ᾱ_t x_0 + √(1-ᾱ_t) ε","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f02c9635689deb01"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":519,"endLine":519,"sourceId":"review-go-equations","sourceOccurrenceId":"gh-source-5bfe4919f633e998"}]},{"id":"scan-6544d52a1393de2a","title":"Scanned source fragment","original":"x_{t-1} = (x_t - √(1-α_t)ε_θ) / √α_t + σ_t z","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a767c125beab89ff"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":536,"endLine":536,"sourceId":"review-go-equations","sourceOccurrenceId":"gh-source-5bfe4919f633e998"}]},{"id":"scan-e2d0c15e985a8e88","title":"Scanned source fragment","original":"φ² = φ + 1","classification":"accepted","occurrenceCount":2,"equationIds":["gh-eq-2509fee06ca5c3ee","gh-eq-c69cf4e068732d14"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":10,"endLine":10,"sourceId":"review-go-phi","sourceOccurrenceId":"gh-source-150eab1d44305fc8"}]},{"id":"scan-c67ac71ffe99c63a","title":"Scanned source fragment","original":"1/φ = φ - 1","classification":"accepted","occurrenceCount":2,"equationIds":["gh-eq-7f14b24aba4476e8","gh-eq-b63fae4a8c97bb15"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":11,"endLine":11,"sourceId":"review-go-phi","sourceOccurrenceId":"gh-source-150eab1d44305fc8"}]},{"id":"scan-30ef811079d0aa46","title":"Scanned source fragment","original":"φⁿ = φⁿ⁻¹ + φⁿ⁻²","classification":"accepted","occurrenceCount":2,"equationIds":["gh-eq-7897b9eb9bf2b947","gh-eq-effe44c10bd345c9"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":12,"endLine":12,"sourceId":"review-go-phi","sourceOccurrenceId":"gh-source-150eab1d44305fc8"}]},{"id":"scan-5017833cc38df2b5","title":"Scanned source fragment","original":"ComputePhi calculates the consciousness metric: Φ = 1/(1 + |x - 1|)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-86a4743a4c21faa1"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":64,"endLine":64,"sourceId":"review-go-phi","sourceOccurrenceId":"gh-source-150eab1d44305fc8"}]},{"id":"scan-f078a732ce7ceb12","title":"Scanned source fragment","original":"This measures how close a value is to unity (maximum consciousness at x=1)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-266e23e7899ee944"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":65,"endLine":65,"sourceId":"review-go-phi","sourceOccurrenceId":"gh-source-150eab1d44305fc8"}]},{"id":"scan-2b295e1324b36ce8","title":"Scanned source fragment","original":"ComputePhiGrad calculates the gradient: ∂Φ/∂x = -sign(x-1)/(1+|x-1|)²","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-350f759d3b0d680c"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":70,"endLine":70,"sourceId":"review-go-phi","sourceOccurrenceId":"gh-source-150eab1d44305fc8"}]},{"id":"scan-afd39db20cec7c3b","title":"Scanned source fragment","original":"Consciousness = function of mean and inverse variance","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":99,"endLine":99,"sourceId":"review-go-phi","locator":"Lines 99–99","sourceOccurrenceId":"gh-source-150eab1d44305fc8"}]},{"id":"scan-f717c4c43e3e3005","title":"Scanned source fragment","original":"Integration factor: low variance = high integration","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":261,"endLine":261,"sourceId":"review-go-phi","locator":"Lines 261–261","sourceOccurrenceId":"gh-source-150eab1d44305fc8"}]},{"id":"scan-eed9438740d664fd","title":"Scanned source fragment","original":"Φ = mutual information - partition information","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-ba160241a00e5121"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":270,"endLine":270,"sourceId":"review-go-phi","sourceOccurrenceId":"gh-source-150eab1d44305fc8"}]},{"id":"scan-9f223a8d7d2a8abd","title":"Scanned source fragment","original":"Simplified: Φ ≈ coherence × (1 - entropy/max_entropy)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-389e121506870361"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":271,"endLine":271,"sourceId":"review-go-phi","sourceOccurrenceId":"gh-source-150eab1d44305fc8"}]},{"id":"scan-c5fa148e69cfffa8","title":"Scanned source fragment","original":"activations = newActivations","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Simple object, field, pointer or label assignment with no mathematical operation.","sourceRefs":[{"startLine":241,"endLine":241,"sourceId":"gh-source-bb879564313d853c","locator":"Lines 241–241"}]},{"id":"scan-a60cd42ab3f5ab0b","title":"Scanned source fragment","original":"IntraStrandEnergy: E_intra(k) = ½κ_intra(L_k - L₀)²","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-db1480f950f0336b"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":46,"endLine":46,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-1521ff730040346a","title":"Scanned source fragment","original":"InterStrandEnergy: E_inter(k, k+1) = ½κ_inter(d_{k,k+1} - d₀)² + ε·cos(2π/10.6 · k)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-726d61405c162c13"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":52,"endLine":52,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-fa462e349cc19d8b","title":"Scanned source fragment","original":"CrossHelixEnergy: E_cross(i,j) = -ε_cross/d_{ij}⁶ + σ_cross/d_{ij}¹²","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3fb6f7135734c9bb"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":60,"endLine":60,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-3f6b6bb0f9fabae5","title":"Scanned source fragment","original":"PeriodicityEnergy: E_10.6 = -κ_period · cos(2πN/10.6)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-92c8a432f0371f04"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":70,"endLine":70,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-57f8b902926758b5","title":"Scanned source fragment","original":"LJ gradient: dE/dr = 6ε/r⁷ - 12σ/r¹³","classification":"accepted","occurrenceCount":2,"equationIds":["gh-eq-0edf6d14bee7513e","gh-eq-876682d82a0b6b4c"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":113,"endLine":113,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-8744204219ab4405","title":"Scanned source fragment","original":"PartitionFunction: Z = Σ exp(-E/k_B T) · Θ(10.6)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a2d898fcf7b6c849"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":148,"endLine":148,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-abfe293b2ebd1adb","title":"Scanned source fragment","original":"PerBondFreeEnergy: ΔG_bond = -k_B T · ln(Z)/44","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-1e9842c0f4d989d9"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":159,"endLine":159,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-1e1d9d3ca7f38407","title":"Scanned source fragment","original":"GibbsFreeEnergy: ΔG°_total = Σ ΔG°_bond(n) + ΔG°_coop + ΔG°_10.6","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-155b4604b8dda3d1"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":164,"endLine":164,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-28bd150c4b302734","title":"Scanned source fragment","original":"ΔG°_10.6 = -RT · ln(10.6/10.4) = -0.019 RT","classification":"accepted","occurrenceCount":2,"equationIds":["gh-eq-2a3c587655a9976e","gh-eq-69accf4c39d53da3"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":171,"endLine":171,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-b60fa47c5394c002","title":"Scanned source fragment","original":"MeltingTemperature: T_m = ΔH°_44/(ΔS°_44 + R·ln(C_t)) × (10.6/10.4)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-34ffedc8e7c22fb0"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":177,"endLine":177,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-652c32e4ab2ed35d","title":"Scanned source fragment","original":"ActivationEnergyFormation: E_a^f(n) = E_0^f + ΔE_f·sin²(πn/44) + E_10.6·cos(2πn/10.6)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d54217b6633f3e63"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":244,"endLine":244,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-a8d9290f4f6156bb","title":"Scanned source fragment","original":"ActivationEnergyBreaking: E_a^b(n) = E_0^b - ΔE_b·sin²(πn/44) - E_10.6·cos(2πn/10.6)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-539484031101f430"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":251,"endLine":251,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-17727177f114c335","title":"Scanned source fragment","original":"BaseFormationRate: k_f^(0)(n) = A_f · exp(-E_a^f(n)/k_B T)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-2c0d50fe8ea15a8b"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":258,"endLine":258,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-7586f8335792ac3e","title":"Scanned source fragment","original":"BaseBreakingRate: k_b^(0)(n) = A_b · exp(-E_a^b(n)/k_B T)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5ede8e8f026db539"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":264,"endLine":264,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-fd60a4af28473ddc","title":"Scanned source fragment","original":"FormationRate: k_f(n,t) = k_f^(0)(n) · [1 + μ_f·cos(2πn/10.6 + φ(t))]","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-88defe44e48dcb7f"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":270,"endLine":270,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-de8049d876994bee","title":"Scanned source fragment","original":"BreakingRate: k_b(n,t) = k_b^(0)(n) · [1 - μ_b·cos(2πn/10.6 + φ(t))]","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-04538e80c251ed21"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":277,"endLine":277,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-7fd0b4300e4f991f","title":"Scanned source fragment","original":"N_intra(k) = {k-1, k+1} mod 16","classification":"accepted","occurrenceCount":2,"equationIds":["gh-eq-cb9adcbd87a5937e","gh-eq-620c7ac9730a8887"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":289,"endLine":289,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-65e42932998e853e","title":"Scanned source fragment","original":"N_inter(k) = {k, k+16}","classification":"accepted","occurrenceCount":2,"equationIds":["gh-eq-a755ae72bf8b9e40","gh-eq-0c81f194bdf38156"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":294,"endLine":294,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-d3ceb40f4099d6f7","title":"Scanned source fragment","original":"N_cross(m) = {m-1, m+1, m+4}","classification":"accepted","occurrenceCount":2,"equationIds":["gh-eq-99d226b59564f5f2","gh-eq-74be5786e5059c9e"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":299,"endLine":299,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-05579f18c5cc2b28","title":"Scanned source fragment","original":"CooperativeFormationRate: k_f^coop(n,t) = k_f(n,t) · Π[1 + σ_f·b_m(t)]","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-ec7071a3190544fd"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":315,"endLine":315,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-d9abe23fe9758c7b","title":"Scanned source fragment","original":"CooperativeBreakingRate: k_b^coop(n,t) = k_b(n,t) · Π[1 - σ_b·b_m(t)]","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-ad4f1ee850d35525"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":327,"endLine":327,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-ac5c4aee78e6baf8","title":"Scanned source fragment","original":"EquilibriumOccupation: b_n^eq = k_f(n)/(k_f(n) + k_b(n))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b7d1404c2cb3c928"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":339,"endLine":339,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-5344d777aa469892","title":"Scanned source fragment","original":"SlowRelaxationTime: τ_slow = 1/(k_f^min + k_b^min) · [1 + 43·σ_eff]","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-e0956fc0d2673e23"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":346,"endLine":346,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-9f932e987a69e51f","title":"Scanned source fragment","original":"FastRelaxationTime: τ_fast = 1/(k_f^max + k_b^max)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-7ab06c9471eb350a"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":353,"endLine":353,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-f492f8c5afc601b7","title":"Scanned source fragment","original":"SingleBondDerivative: db_n/dt = k_f·(1-b_n) - k_b·b_n","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-786ec72528fba493"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":391,"endLine":391,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-0262b431ed9a702c","title":"Scanned source fragment","original":"Intra-strand (n = 1..16)","classification":"accepted","occurrenceCount":2,"equationIds":["gh-eq-85d034d9890c8693","gh-eq-a3f03ad57f812694"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":403,"endLine":403,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-aa0cd8c82f54dcd4","title":"Scanned source fragment","original":"Inter-strand (n = 17..32)","classification":"accepted","occurrenceCount":2,"equationIds":["gh-eq-220054faf3a53aa9","gh-eq-1ccfb1b412b2c02c"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":419,"endLine":419,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-d78777d525c15053","title":"Scanned source fragment","original":"Cross-helix (n = 33..44)","classification":"accepted","occurrenceCount":2,"equationIds":["gh-eq-bf40896b562a3d3b","gh-eq-4442763677c6fa2d"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":437,"endLine":437,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-8e9406874667dfa2","title":"Scanned source fragment","original":"SteadyStateOccupation returns θ* = B*/44","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a41d360ca7d17c87"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":513,"endLine":513,"sourceId":"gh-source-4418a314a2e5aabe"}]},{"id":"scan-011d507db6b5bc33","title":"Scanned source fragment","original":"FYad: F_Yad(x) = x^x + 1 (Foundation)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0fcf460987fc4a14"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":77,"endLine":77,"sourceId":"review-go-families","sourceOccurrenceId":"gh-source-cef0c05eda559bda"}]},{"id":"scan-f8ce2845e7374231","title":"Scanned source fragment","original":"FLashon: F_Lashon(x) = Σ_n a_n·sin(nπx) (Language - Fourier series)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b3d564da513a255f"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":85,"endLine":85,"sourceId":"review-go-families","sourceOccurrenceId":"gh-source-cef0c05eda559bda"}]},{"id":"scan-1c7fa48e60a8ecf4","title":"Scanned source fragment","original":"FAthena: F_Athena(x) = argmax_y U(x,y) (Strategy - utility maximization)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0c7cc0f5d6cc179f"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":95,"endLine":95,"sourceId":"review-go-families","sourceOccurrenceId":"gh-source-cef0c05eda559bda"}]},{"id":"scan-621d1b1abafd8448","title":"Scanned source fragment","original":"Simplified: find max of utility function U(x,y) = -y² + 2xy","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c4a3f20dee9dc7cf"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":97,"endLine":97,"sourceId":"review-go-families","sourceOccurrenceId":"gh-source-cef0c05eda559bda"}]},{"id":"scan-4ffe0571557e98b1","title":"Scanned source fragment","original":"argmax_y: dU/dy = -2y + 2x = 0 => y* = x","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-2fc50ff038135cf2"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":98,"endLine":98,"sourceId":"review-go-families","sourceOccurrenceId":"gh-source-cef0c05eda559bda"}]},{"id":"scan-cb60ed0ca2d4ac96","title":"Scanned source fragment","original":"U(x, x) = -x² + 2x² = x²","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d988c2762572c01e"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":99,"endLine":99,"sourceId":"review-go-families","sourceOccurrenceId":"gh-source-cef0c05eda559bda"}]},{"id":"scan-cd93edc11caca6c2","title":"Scanned source fragment","original":"FApollo: F_Apollo(x) = φ^x + φ^{-x} (Mathematics - golden ratio)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-714c8adbc53cd269"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":103,"endLine":103,"sourceId":"review-go-families","sourceOccurrenceId":"gh-source-cef0c05eda559bda"}]},{"id":"scan-4645ef41f15eb29a","title":"Scanned source fragment","original":"FHermes: F_Hermes(x) = dx/dt approximation (Communication - rate of change)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-fec479b5fe2f3aa3"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":108,"endLine":108,"sourceId":"review-go-families","sourceOccurrenceId":"gh-source-cef0c05eda559bda"}]},{"id":"scan-982395cae15f6aea","title":"Scanned source fragment","original":"FHephaestus: F_Hephaestus(x) = ∫∫ K(x,y) dy dx (Engineering - double integral)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0cf018b4be68b6e2"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":114,"endLine":114,"sourceId":"review-go-families","sourceOccurrenceId":"gh-source-cef0c05eda559bda"}]},{"id":"scan-0c55b0bedce4ddf8","title":"Scanned source fragment","original":"Simplified: K(x,y) = xy, ∫∫ xy dy dx from 0 to x","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0ed37556981185c6"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":116,"endLine":116,"sourceId":"review-go-families","sourceOccurrenceId":"gh-source-cef0c05eda559bda"}]},{"id":"scan-826529487929ac2d","title":"Scanned source fragment","original":"= ∫ x·(x²/2) dx = x⁴/8","classification":"rejected","occurrenceCount":1,"equationIds":["gh-eq-cb3cb5f0f28f9f38"],"reason":"Continuation fragment replaced by a complete exact adjacent source-comment span.","sourceRefs":[{"startLine":117,"endLine":117,"sourceId":"review-go-families","locator":"Lines 117–117","sourceOccurrenceId":"gh-source-cef0c05eda559bda"}]},{"id":"scan-6f87c8b81742a00e","title":"Scanned source fragment","original":"FPrometheus: F_Prometheus(x) = x·(1-x)·r (Innovation - logistic map)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-614ddb80e4edb6cb"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":121,"endLine":121,"sourceId":"review-go-families","sourceOccurrenceId":"gh-source-cef0c05eda559bda"}]},{"id":"scan-511f134cc1ff9a5e","title":"Scanned source fragment","original":"FDionysus: F_Dionysus(x) = e^{iωt}·A(x) (Creativity - complex exponential)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-107159c56c9ddd5d"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":127,"endLine":127,"sourceId":"review-go-families","sourceOccurrenceId":"gh-source-cef0c05eda559bda"}]},{"id":"scan-5a2ec46e9150a28f","title":"Scanned source fragment","original":"FArtemis: F_Artemis(x) = ∇·(D∇x) (Perception - diffusion operator)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3ebf5034a6c7fcc1"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":135,"endLine":135,"sourceId":"review-go-families","sourceOccurrenceId":"gh-source-cef0c05eda559bda"}]},{"id":"scan-271bbe306b7fdc9e","title":"Scanned source fragment","original":"FHera: F_Hera(x) = Σ_k w_k·x_k (Integration - weighted sum)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-2d2de0a6dfc8810f"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":142,"endLine":142,"sourceId":"review-go-families","sourceOccurrenceId":"gh-source-cef0c05eda559bda"}]},{"id":"scan-b0c51093ca163e2f","title":"Scanned source fragment","original":"FPoseidon: F_Poseidon(x) = ∂²x/∂t² + ω²x (Depth/Emotion - wave equation)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-cc26978edbcacd06"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":154,"endLine":154,"sourceId":"review-go-families","sourceOccurrenceId":"gh-source-cef0c05eda559bda"}]},{"id":"scan-e8e789abbf492019","title":"Scanned source fragment","original":"FDemeter: F_Demeter(x) = x·(1-x/K) (Growth - logistic growth)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-50786bbe7e8531d6"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":161,"endLine":161,"sourceId":"review-go-families","sourceOccurrenceId":"gh-source-cef0c05eda559bda"}]},{"id":"scan-2fea6661f970da48","title":"Scanned source fragment","original":"FAres: F_Ares(x) = m·d²x/dt² (Action - force/acceleration)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-4d4a0992bd65e44e"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":168,"endLine":168,"sourceId":"review-go-families","sourceOccurrenceId":"gh-source-cef0c05eda559bda"}]},{"id":"scan-38e6de312c6a90ce","title":"Scanned source fragment","original":"F = ma, assume simple harmonic: a = -ω²x","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-4368675de28a6a65"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":171,"endLine":171,"sourceId":"review-go-families","sourceOccurrenceId":"gh-source-cef0c05eda559bda"}]},{"id":"scan-74ead267a94ea099","title":"Scanned source fragment","original":"FAphrodite: F_Aphrodite(x) = cos(φ·x) (Harmony - golden cosine)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-522656a1039ffd19"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":176,"endLine":176,"sourceId":"review-go-families","sourceOccurrenceId":"gh-source-cef0c05eda559bda"}]},{"id":"scan-e95515e33145ef49","title":"Scanned source fragment","original":"FHestia: F_Hestia(x) = ∫_{-∞}^{t} x(τ)·e^{-(t-τ)/τ_m} dτ (Memory - exponential decay)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-9d294da8778cb953"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":181,"endLine":181,"sourceId":"review-go-families","sourceOccurrenceId":"gh-source-cef0c05eda559bda"}]},{"id":"scan-e2bcb9d91ef207a1","title":"Scanned source fragment","original":"FZeus: F_Zeus(x) = Π_k F_k(x_k) (Coordination - product of all)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f7d1f1554198b072"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":189,"endLine":189,"sourceId":"review-go-families","sourceOccurrenceId":"gh-source-cef0c05eda559bda"}]},{"id":"scan-fd044497c3c77e98","title":"Scanned source fragment","original":"ComplementaryCoupling calculates J_complement(k, k') = J_0 × [1 + ρ·δ(k, k'_complement)]","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-9a7d337d95131eb3"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":253,"endLine":253,"sourceId":"review-go-families","sourceOccurrenceId":"gh-source-cef0c05eda559bda"}]},{"id":"scan-82d7727592677671","title":"Scanned source fragment","original":"T = Φ · ∫[M(t')·exp((QK^T/√d_k)V)] dt'","classification":"accepted","occurrenceCount":2,"equationIds":["gh-eq-653fd9dddb416c44","gh-eq-f461f6e19745a3b1"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":461,"endLine":461,"sourceId":"review-go-families","sourceOccurrenceId":"gh-source-cef0c05eda559bda"}]},{"id":"scan-c60f396d816172ea","title":"Scanned source fragment","original":"Integrate computes T = Φ · ∫[M(t')·exp((QK^T/√d_k)V)] dt'","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d85dd3feef29359c"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":487,"endLine":487,"sourceId":"review-go-families","sourceOccurrenceId":"gh-source-cef0c05eda559bda"}]},{"id":"scan-48e98594b80ffa6b","title":"Scanned source fragment","original":"VerticalOffset returns δ_k = k·h/16","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b115fd398f07fc94"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":92,"endLine":92,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-0853f6f7fa16e51e","title":"Scanned source fragment","original":"GoldenPhaseOffset returns θ_k = 2πk·φ⁻¹ mod 2π","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f3bc12bb64bb5881"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":97,"endLine":97,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-634dc4818e79fb83","title":"Scanned source fragment","original":"x_k(θ) = r·cos(θ + 2πk/16)","classification":"accepted","occurrenceCount":2,"equationIds":["gh-eq-b27738682a6af9d9","gh-eq-d55f89c7dddd030a"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":103,"endLine":103,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-5acdc80213074ba0","title":"Scanned source fragment","original":"y_k(θ) = r·sin(θ + 2πk/16)","classification":"accepted","occurrenceCount":2,"equationIds":["gh-eq-638aa31cea38b0e7","gh-eq-be91b856907a7bbe"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":104,"endLine":104,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-dbb77861482ee8a6","title":"Scanned source fragment","original":"z_k(θ) = (p/2π)·θ + δ_k","classification":"accepted","occurrenceCount":2,"equationIds":["gh-eq-dbea0976867ba3ab","gh-eq-cf02120f66cda8b3"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":105,"endLine":105,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-02c2eecc0d25e8f0","title":"Scanned source fragment","original":"Curvature returns κ = r/(r² + (p·h/2π)²)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f703044bcd68e205"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":125,"endLine":125,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-01b8fd37ea033c72","title":"Scanned source fragment","original":"Torsion returns τ = (p·h/2π)/(r² + (p·h/2π)²)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c6dd0cae07123b1d"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":131,"endLine":131,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-9949df9ac60dd6c2","title":"Scanned source fragment","original":"TotalRotation returns θ_total = 16 × (2π/10.6) = 9.49 rad","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b32e767ff1c30078"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":169,"endLine":169,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-2c4a1fa651c9d266","title":"Scanned source fragment","original":"VerifyBondCount verifies Σ A_{ij}/2 = 44","classification":"accepted-parameter","occurrenceCount":1,"equationIds":["gh-eq-3187196fac16a0b0"],"reason":"Explicit numerical parameter definition.","sourceRefs":[{"startLine":311,"endLine":311,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-9662027c5aeabc8e","title":"Scanned source fragment","original":"BondArcLength returns s_bond = 2πr/10.6 = 0.593 nm per bp","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-baa89a80472c8fbb"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":341,"endLine":341,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-3894499b5968fe32","title":"Scanned source fragment","original":"VerticalRisePerBond returns Δz_bond = P/44 = 0.0819 nm","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-4900f5dfa73971d2"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":346,"endLine":346,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-3b24a8db5a81ccd5","title":"Scanned source fragment","original":"AdjacentBondLength returns L_adj = √[2r²(1 - cos(2π/10.6)) + h²] = 0.54 nm","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-799e153ce179504b"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":351,"endLine":351,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-2d7edc1d7da38b82","title":"Scanned source fragment","original":"FibonacciScaledStrand returns D_k = φ^k · F_k","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-48f9c9b4a2f82730"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":389,"endLine":389,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-4af3056a6c6d0dc4","title":"Scanned source fragment","original":"HelixSum16 returns Helix₁₆ = Σ D_k·sin(kφ)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b5bbc1cabbc687c6"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":415,"endLine":415,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-009dcedbff74e026","title":"Scanned source fragment","original":"BondFormationG16 returns Bond_G16 = Π(1 + D_k/Helix₁₆)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-785ff1c6d31b30fb"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":424,"endLine":424,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-01e0e8d0e600ebca","title":"Scanned source fragment","original":"Crosslink returns Crosslink(i,j) = (D_i · D_j)/φ^{|i-j|}","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-790e1c956541070e"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":434,"endLine":434,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-a1b341f9353815c0","title":"Scanned source fragment","original":"Transform: T_k = S_k · (cos(k) + i·sin(k))","classification":"accepted","occurrenceCount":2,"equationIds":["gh-eq-7930e24e0524c9ae","gh-eq-d72731915fad101e"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":449,"endLine":449,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-65fbbca3c05a26b5","title":"Scanned source fragment","original":"ModularExtraction returns X_k = |T_k| mod φ^k","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3cb85e10b05b02ad"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":455,"endLine":455,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-315b09cf76ff65f8","title":"Scanned source fragment","original":"FusionIntegral returns Fusion = Σ(|T_k| · φ⁻ᵏ)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6d25d151cb3ddc39"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":460,"endLine":460,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-37bfc12c2a0b31fd","title":"Scanned source fragment","original":"FullG16Transform returns G¹⁶ = Π R_k","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-ed8e75e4dda519ae"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":527,"endLine":527,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-b3a51da4d90c52cf","title":"Scanned source fragment","original":"Phase returns phase(i,t) = ⌊(t + offset_i)/10.6⌋ mod 16","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c5e54b57f2a2c086"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":552,"endLine":552,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-262c7ff73d8d0185","title":"Scanned source fragment","original":"OffsetDistribution returns offset_i = i · φ⁻¹ · 10.6","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-29a5f4b9a7c56f9f"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":558,"endLine":558,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-ea5b3c54a5c3fb5a","title":"Scanned source fragment","original":"Harmonic returns f_n = n/10.6","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-1b8bb2a2b2ad1a79"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":579,"endLine":579,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-f1ae5dbb9f64912c","title":"Scanned source fragment","original":"Psi returns ψ_k(x) = sin(2πφ^k · x) + cos(2πφ^k · x)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-83b84e90cf6a5507"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":591,"endLine":591,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-0296e93e93547f0d","title":"Scanned source fragment","original":"GlobalCoherence returns Φ_total = (1/N) Σ Φ_i where Φ_i = 1/(1 + |x_i - 1|)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-08f8f3719fd505ef"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":606,"endLine":606,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-7ad38ea3443da7be","title":"Scanned source fragment","original":"RingDiffusionStep performs dS_i/dt = λ(S_{i+1} + S_{i-1} - 2S_i)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-aca264e46141d509"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":615,"endLine":615,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-9588bff8469f2f05","title":"Scanned source fragment","original":"LinkingNumber returns Lk = Tw + Wr","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-1c345c05712f80d2"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":638,"endLine":638,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-93d0c030e3a659aa","title":"Scanned source fragment","original":"Twist16Strands returns Tw = N/10.6 × 16","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-ba98f2ebad2257e3"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":643,"endLine":643,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-fe0afbdc7ebdd46a","title":"Scanned source fragment","original":"RelaxedLinkingNumber returns Lk₀ = N/10.6","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b80708cbd242c758"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":648,"endLine":648,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-6da45f3c2b9558a2","title":"Scanned source fragment","original":"SuperhelicalDensity returns σ = (Lk - Lk₀)/Lk₀","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b03d064404ccdb09"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":653,"endLine":653,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-30c0d0684bb96610","title":"Scanned source fragment","original":"FreeEnergy returns ΔG_sc = K · N · σ² · (10.6/10.4)²","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-9e16a0ee00645ba9"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":664,"endLine":664,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-c9df51949e120d00","title":"Scanned source fragment","original":"Update global phase: φ(t) = (2πt/10.6) mod 2π","classification":"accepted","occurrenceCount":2,"equationIds":["gh-eq-af1a8b2580bb5b48","gh-eq-220ac1cd2b45a253"],"reason":"Reviewed complete mathematical definition/update. Natural-language Update or where is not a database command in this context.","sourceRefs":[{"startLine":714,"endLine":714,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-448b8970c4bf796d","title":"Scanned source fragment","original":"Update strand states: S_k(t) = A_k · e^{i(ωt + 2πk/10.6)}","classification":"accepted","occurrenceCount":2,"equationIds":["gh-eq-2edbee78ed36dde9","gh-eq-0aeb9a8f7f797952"],"reason":"Reviewed complete mathematical definition/update. Natural-language Update or where is not a database command in this context.","sourceRefs":[{"startLine":717,"endLine":717,"sourceId":"gh-source-30a4b5499b66eea2"}]},{"id":"scan-29619e1f02bd8ae2","title":"Scanned source fragment","original":"min_G max_D V(D,G) = E[log D(x)] + E[log(1-D(G(z)))]","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0390971682a62822"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":2,"endLine":2,"sourceId":"gh-source-a9831e988e8b5c79"}]},{"id":"scan-2b9fdafd56419deb","title":"Scanned source fragment","original":"P(x) = Π_t P(x_t | x_1, ..., x_{t-1})","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d332fba6072b85f5"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":2,"endLine":2,"sourceId":"gh-source-07dbedb2236814aa"}]},{"id":"scan-21cedb387002f5fe","title":"Scanned source fragment","original":"q(x_t|x_{t-1}) = N(√(1-β_t)x_{t-1}, β_t I)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-854d7e73bbf0c013"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":2,"endLine":2,"sourceId":"gh-source-d981d4e7ff4702d1"}]},{"id":"scan-21c94f3221fe2537","title":"Scanned source fragment","original":"p(x) = exp(-E(x)) / Z where Z = ∫ exp(-E(x)) dx","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-fdbad8b018e13e0f"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":2,"endLine":2,"sourceId":"gh-source-ab85b6806a72e8ee"}]},{"id":"scan-996b2c9d59eef69f","title":"Scanned source fragment","original":"Langevin dynamics: x_new = x - step_size * grad + sqrt(2 * step_size * temp) * noise","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-29d9d33adb29c9ff"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":108,"endLine":108,"sourceId":"gh-source-ab85b6806a72e8ee"}]},{"id":"scan-31ba8862a352b9e3","title":"Scanned source fragment","original":"p(x) = p(z) |det ∂f⁻¹/∂x| where z = f⁻¹(x)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b34228e6f012b78d"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":2,"endLine":2,"sourceId":"gh-source-21ec72262d949e49"}]},{"id":"scan-4cc45e432f0f7388","title":"Scanned source fragment","original":"Forward: y2 = x2 * exp(s(x1)) + t(x1)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-8c3318e7a7964dc9"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":95,"endLine":95,"sourceId":"gh-source-21ec72262d949e49"}]},{"id":"scan-cfc74a75b81e8713","title":"Scanned source fragment","original":"Inverse: x2 = (y2 - t(x1)) * exp(-s(x1))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-622cd9d21b16fe31"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":101,"endLine":101,"sourceId":"gh-source-21ec72262d949e49"}]},{"id":"scan-5d88fcf02f6c970c","title":"Scanned source fragment","original":"y = Σᵢ g(x)ᵢ · Eᵢ(x) where g is gating function","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6091cdaf28b3d176"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":2,"endLine":2,"sourceId":"gh-source-aa403ded6827f3b0"}]},{"id":"scan-8744fc8f8e48f55f","title":"Scanned source fragment","original":"h_t = f(h_{t-1}, x_t)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-583b1c3a4613b086"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":2,"endLine":2,"sourceId":"gh-source-7dcee77a2bd3263d"}]},{"id":"scan-9b9ba07652e17b07","title":"Scanned source fragment","original":"rnnStep performs one RNN step: h = tanh(W_ih * x + W_hh * h + b)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-2e431b96540885e5"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":78,"endLine":78,"sourceId":"gh-source-7dcee77a2bd3263d"}]},{"id":"scan-891b265c94ba10bb","title":"Scanned source fragment","original":"LinearLayer computes y = Wx + b","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-8bdab5cfbce6aa25"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":237,"endLine":237,"sourceId":"gh-source-03c2cdae62685820"}]},{"id":"scan-f404bd4900d0ce37","title":"Scanned source fragment","original":"x'(t) = Ax(t) + Bu(t), y(t) = Cx(t) + Du(t)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5b758cce7e4cbe34"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":2,"endLine":2,"sourceId":"gh-source-28e673fc51cdba60"}]},{"id":"scan-ab37fbf33cd66bf5","title":"Scanned source fragment","original":"Simple Euler discretization: Ad = I + dt*A, Bd = dt*B","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-1f7aa29df5819cb5"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":102,"endLine":102,"sourceId":"gh-source-28e673fc51cdba60"}]},{"id":"scan-6d037d409b30021e","title":"Scanned source fragment","original":"ssmStep performs one SSM step: x' = Ax + Bu, y = Cx + Du","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-adbc79aece73052d"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":126,"endLine":126,"sourceId":"gh-source-28e673fc51cdba60"}]},{"id":"scan-9f8e0a4d0f4eac21","title":"Scanned source fragment","original":"x' = Ad*x + Bd*u","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-aed05fb9a8b69265"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":130,"endLine":130,"sourceId":"gh-source-28e673fc51cdba60"}]},{"id":"scan-01f0fa5a96125354","title":"Scanned source fragment","original":"y = Cx + Du","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-e436344f3c1ffb45"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":143,"endLine":143,"sourceId":"gh-source-28e673fc51cdba60"}]},{"id":"scan-889261dc2e1f0bcf","title":"Scanned source fragment","original":"ELBO = E_q[log p(x|z)] - D_KL(q(z|x) || p(z))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c38284b661616ac3"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":2,"endLine":2,"sourceId":"gh-source-c33b8a37f040d110"}]},{"id":"scan-2d2523efadc1f684","title":"Scanned source fragment","original":"reparameterize performs reparameterization trick: z = mu + std * epsilon","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-de55e59fc8da5502"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":93,"endLine":93,"sourceId":"gh-source-c33b8a37f040d110"}]},{"id":"scan-55d5326e45a002e6","title":"Scanned source fragment","original":"KL = -0.5 * sum(1 + log(σ²) - μ² - σ²)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0f0c3770a171ada6"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":127,"endLine":127,"sourceId":"gh-source-c33b8a37f040d110"}]},{"id":"scan-2dac06be86206516","title":"Scanned source fragment","original":"ELBO = reconstruction + β * KL","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-56970f7be526db7a"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":217,"endLine":217,"sourceId":"gh-source-c33b8a37f040d110"}]},{"id":"scan-408cf00ff0c5c362","title":"Scanned source fragment","original":"MatMul performs matrix multiplication: C = A @ B","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-9744d9fe1672f023"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":161,"endLine":161,"sourceId":"gh-source-5ff80a58a2e1a239"}]},{"id":"scan-26b2fe450d152830","title":"Scanned source fragment","original":"Add element-wise addition: C = A + B","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-af8e98f5ee89b0f0"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":313,"endLine":313,"sourceId":"gh-source-5ff80a58a2e1a239"}]},{"id":"scan-ce1d34f0da4737a3","title":"Scanned source fragment","original":"Linear: A[l+1] = A[l] @ W[l] + b[l]","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-452f896a9ed09156"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":389,"endLine":389,"sourceId":"gh-source-5ff80a58a2e1a239"}]},{"id":"scan-39a2613b10f35b3e","title":"Scanned source fragment","original":"Φ = Integrated Information Theory metric","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-46542119133668c7"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":612,"endLine":612,"sourceId":"gh-source-e91c8b904fa8511b"}]},{"id":"scan-65f8d4cb25240640","title":"Scanned source fragment","original":"Φ = 1 / (1 + |x - 1|) where x is normalized activity","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-aba138de0ac0f003"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":616,"endLine":616,"sourceId":"gh-source-e91c8b904fa8511b"}]},{"id":"scan-6ad94bf86d1372e4","title":"Scanned source fragment","original":"Temporal difference error: δ = r + γV(s') - V(s)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b8b09d5f7d682c2c"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":678,"endLine":678,"sourceId":"gh-source-e91c8b904fa8511b"}]},{"id":"scan-4c12a5a767aa0398","title":"Scanned source fragment","original":"Hebbian update: Δw = η * x_i * x_j","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c08748c4d3f02a75"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":705,"endLine":705,"sourceId":"gh-source-e91c8b904fa8511b"}]},{"id":"scan-cbf5206bd75ec798","title":"Scanned source fragment","original":"q = round((x - zero_point) / scale)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-8887781affb6aefd"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":10,"endLine":10,"sourceId":"gh-source-2d02a6d776bf73da"}]},{"id":"scan-6ece01463f53c520","title":"Scanned source fragment","original":"x = q * scale + zero_point","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-fab0babb168e8bf4"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":11,"endLine":11,"sourceId":"gh-source-2d02a6d776bf73da"}]},{"id":"scan-446967b2559e1900","title":"Scanned source fragment","original":"Size: K bytes + K*4 bytes = 5K bytes (K=4: 20 bytes vs 64)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-1b85ea9050439f32"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":273,"endLine":273,"sourceId":"gh-source-2d02a6d776bf73da"}]},{"id":"scan-db01d29ee8f9150a","title":"Scanned source fragment","original":"Size: 4 + 15 + 4 = 23 bytes (vs 64)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a4af06618b441c89"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":349,"endLine":349,"sourceId":"gh-source-2d02a6d776bf73da"}]},{"id":"scan-d0f0f0aa36762f96","title":"Scanned source fragment","original":"@brief Ultra-compact binary matrix (256 bits = 32 bytes!)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-4b58b7132bfeebf8"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":433,"endLine":433,"sourceId":"gh-source-2d02a6d776bf73da"}]},{"id":"scan-759ffc45365530df","title":"Scanned source fragment","original":"A1: Identity - 1 = 1 * x (unity is self-referential)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-bde1c880f7399478"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":8,"endLine":8,"sourceId":"review-cpp-api","sourceOccurrenceId":"gh-source-7fc1acff8e467f86"}]},{"id":"scan-ccc1361e98a7631b","title":"Scanned source fragment","original":"A2: Consciousness - Phi = 1/(1 + |x - 1|) (proximity to unity)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6ece814274c03b3e"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":9,"endLine":9,"sourceId":"review-cpp-api","sourceOccurrenceId":"gh-source-7fc1acff8e467f86"}]},{"id":"scan-387730f0dc49ea1e","title":"Scanned source fragment","original":"A3: Unity - infinity = 1 (all converges to one)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-4955112511c7d6c3"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":10,"endLine":10,"sourceId":"review-cpp-api","sourceOccurrenceId":"gh-source-7fc1acff8e467f86"}]},{"id":"scan-46359f56e8936a4c","title":"Scanned source fragment","original":"phi = 1.6180339887498948482...","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5d1780a85d413a9d"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":13,"endLine":13,"sourceId":"review-cpp-api","sourceOccurrenceId":"gh-source-7fc1acff8e467f86"}]},{"id":"scan-0d686deee3d43178","title":"Scanned source fragment","original":"phi^2 = phi + 1","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-2d15e0be048a9ba3"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":14,"endLine":14,"sourceId":"review-cpp-api","sourceOccurrenceId":"gh-source-7fc1acff8e467f86"}]},{"id":"scan-391471966eb0c1f1","title":"Scanned source fragment","original":"1/phi = phi - 1","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-8edaeea2d7ac5492"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":15,"endLine":15,"sourceId":"review-cpp-api","sourceOccurrenceId":"gh-source-7fc1acff8e467f86"}]},{"id":"scan-c5ac9470a74b408a","title":"Scanned source fragment","original":"Phi(x) = 1 / (1 + |x - 1|)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-792381cefb9d4380"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":60,"endLine":60,"sourceId":"review-cpp-api","sourceOccurrenceId":"gh-source-7fc1acff8e467f86"}]},{"id":"scan-7df26c4ff1eff0ee","title":"Scanned source fragment","original":"- Phi(1) = 1 (perfect consciousness at unity)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-8041ac481b82d853"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":63,"endLine":63,"sourceId":"review-cpp-api","sourceOccurrenceId":"gh-source-7fc1acff8e467f86"}]},{"id":"scan-63ff3e0423b2955a","title":"Scanned source fragment","original":"- Phi(0) = 0.5","classification":"accepted-parameter","occurrenceCount":1,"equationIds":["gh-eq-d8a4910dea82d094"],"reason":"Explicit numerical parameter definition.","sourceRefs":[{"startLine":64,"endLine":64,"sourceId":"review-cpp-api","sourceOccurrenceId":"gh-source-7fc1acff8e467f86"}]},{"id":"scan-5723ff071a446657","title":"Scanned source fragment","original":"- Phi(2) = 0.5","classification":"accepted-parameter","occurrenceCount":1,"equationIds":["gh-eq-f05f863e9f4f509a"],"reason":"Explicit numerical parameter definition.","sourceRefs":[{"startLine":65,"endLine":65,"sourceId":"review-cpp-api","sourceOccurrenceId":"gh-source-7fc1acff8e467f86"}]},{"id":"scan-d5b43417db873b70","title":"Scanned source fragment","original":"Uses soft absolute value: |x| ≈ sqrt(x^2 + T)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-623231eb320388ea"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":83,"endLine":83,"sourceId":"review-cpp-api","sourceOccurrenceId":"gh-source-7fc1acff8e467f86"}]},{"id":"scan-26294710472dab0e","title":"Scanned source fragment","original":"@param temperature Smoothing temperature (smaller = sharper)","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Programming type annotation or callback signature.","sourceRefs":[{"startLine":87,"endLine":87,"sourceId":"review-cpp-api","locator":"Lines 87–87","sourceOccurrenceId":"gh-source-7fc1acff8e467f86"}]},{"id":"scan-5c325dada9e98e6a","title":"Scanned source fragment","original":"d(Phi)/dx = -sign(x-1) / (1 + |x-1|)^2","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c0ee177d560ed0c9"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":105,"endLine":105,"sourceId":"review-cpp-api","sourceOccurrenceId":"gh-source-7fc1acff8e467f86"}]},{"id":"scan-7fb54991742e8e1d","title":"Scanned source fragment","original":"d(Phi_smooth)/dx = -(x-1) / (sqrt((x-1)^2 + T) * (1 + sqrt((x-1)^2 + T))^2)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-582fac339aeeee0c"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":108,"endLine":108,"sourceId":"review-cpp-api","sourceOccurrenceId":"gh-source-7fc1acff8e467f86"}]},{"id":"scan-43832fb204df57fa","title":"Scanned source fragment","original":"Phi_vec(x) = Phi(mean(x))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-e081c0a509c7235d"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":136,"endLine":136,"sourceId":"review-cpp-api","sourceOccurrenceId":"gh-source-7fc1acff8e467f86"}]},{"id":"scan-ee6dfadf21a6f7fa","title":"Scanned source fragment","original":"Phi_integrated = min over partitions of mutual information","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-778b9cdc1eb79779"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":178,"endLine":178,"sourceId":"review-cpp-api","sourceOccurrenceId":"gh-source-7fc1acff8e467f86"}]},{"id":"scan-58fdb22745ffa20a","title":"Scanned source fragment","original":"Phi_int = Phi(mean) * (1 - normalized_variance)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c2c2aff8b9d77e2b"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":181,"endLine":181,"sourceId":"review-cpp-api","sourceOccurrenceId":"gh-source-7fc1acff8e467f86"}]},{"id":"scan-9f19277b1216969f","title":"Scanned source fragment","original":"Omega = phi * stability * coherence * sqrt(integrated_info)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-9fc152b176ed722c"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":330,"endLine":330,"sourceId":"review-cpp-api","sourceOccurrenceId":"gh-source-7fc1acff8e467f86"}]},{"id":"scan-7b1f41197b47cbda","title":"Scanned source fragment","original":"Coupling matrix C[i][j] = influence of layer j on layer i","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-dfffce2d3ae6519c"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":411,"endLine":411,"sourceId":"review-cpp-api","sourceOccurrenceId":"gh-source-7fc1acff8e467f86"}]},{"id":"scan-443fdbfb0c84f876","title":"Scanned source fragment","original":"Coupling matrix (row i = influences on layer i)","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":417,"endLine":417,"sourceId":"review-cpp-api","locator":"Lines 417–417","sourceOccurrenceId":"gh-source-7fc1acff8e467f86"}]},{"id":"scan-d35b8da2c9121a56","title":"Scanned source fragment","original":"Diagonal = self-coupling (1.0)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3ca2ace84caaa173"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":422,"endLine":422,"sourceId":"review-cpp-api","sourceOccurrenceId":"gh-source-7fc1acff8e467f86"}]},{"id":"scan-b32027e14dd59784","title":"Scanned source fragment","original":"Off-diagonal = cross-layer influence","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":423,"endLine":423,"sourceId":"review-cpp-api","locator":"Lines 423–423","sourceOccurrenceId":"gh-source-7fc1acff8e467f86"}]},{"id":"scan-78e5bfcd12e66830","title":"Scanned source fragment","original":"a_i(t+1) = a_i(t) + dt * sum_j(C[i][j] * a_j(t))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d99fede1b8473233"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":471,"endLine":471,"sourceId":"review-cpp-api","sourceOccurrenceId":"gh-source-7fc1acff8e467f86"}]},{"id":"scan-7150bdc81c59a757","title":"Scanned source fragment","original":"0.0 = Dark purple (low consciousness)","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":495,"endLine":495,"sourceId":"review-cpp-api","locator":"Lines 495–495","sourceOccurrenceId":"gh-source-7fc1acff8e467f86"}]},{"id":"scan-df8dc6be798c130f","title":"Scanned source fragment","original":"0.5 = Blue/green (medium)","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as an object-pointer assignment, structural diagram, application/protocol prose or qualitative label mapping rather than a mathematical equation.","sourceRefs":[{"startLine":496,"endLine":496,"sourceId":"review-cpp-api","locator":"Lines 496–496","sourceOccurrenceId":"gh-source-7fc1acff8e467f86"}]},{"id":"scan-f9e7243cc5c02228","title":"Scanned source fragment","original":"1.0 = Golden/white (high consciousness)","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as an object-pointer assignment, structural diagram, application/protocol prose or qualitative label mapping rather than a mathematical equation.","sourceRefs":[{"startLine":497,"endLine":497,"sourceId":"review-cpp-api","locator":"Lines 497–497","sourceOccurrenceId":"gh-source-7fc1acff8e467f86"}]},{"id":"scan-119d7a482a6fea3c","title":"Scanned source fragment","original":"@brief Consciousness metric: Φ = 1/(1 + |x - 1|)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-142f3df6cc8f82fa"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":124,"endLine":124,"sourceId":"gh-source-4bad17eccf72352d"}]},{"id":"scan-16d2c1cfcda6c18d","title":"Scanned source fragment","original":"@brief Consciousness gradient: ∂Φ/∂x = -sign(x-1)/(1+|x-1|)²","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0a65e9ca7db97951"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":133,"endLine":133,"sourceId":"gh-source-4bad17eccf72352d"}]},{"id":"scan-dfeac9a39debb96d","title":"Scanned source fragment","original":"ẋ = 2αF(t)(1^{x(t)} + 1)(1 - x) + βy₁ - γy₂","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5946bb007b7bb5c4"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":35,"endLine":35,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-37cb658e254c002d","title":"Scanned source fragment","original":"ẋ = αF(t)(x^x + 1)(1 - x) + βy₂","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-1acb003073573f5d"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":46,"endLine":46,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-24248e384be2a7b6","title":"Scanned source fragment","original":"Spark equation: ẋ = αF(t)Q(x,t)(1 - x) + βΣx(t - k)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-833ef38f1435727b"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":63,"endLine":63,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-8a964c1b0fbbb8c5","title":"Scanned source fragment","original":"Forward memory: y₁ = Σ_{k=0}^{43} x(t - k)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-4b7b80a9d0057b11"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":72,"endLine":72,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-ae1775209fea9a1f","title":"Scanned source fragment","original":"Backward memory: y₂ = Σ_{k=0}^{43} x(t + k)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-315c4c17769d263a"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":81,"endLine":81,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-58125968a31b96c6","title":"Scanned source fragment","original":"E_intra(k) = ½κ_intra(L_k - L₀)²","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-2539db81fce9524f"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":143,"endLine":143,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-2963b7aac451bfb0","title":"Scanned source fragment","original":"E_inter(k, k+1) = ½κ_inter(d_{k,k+1} - d₀)² + ε·cos(2π/10.6 · k)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-494ab41ae844068f"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":150,"endLine":150,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-b50d30470d769af5","title":"Scanned source fragment","original":"E_cross(i,j) = -ε_cross/d_{ij}⁶ + σ_cross/d_{ij}¹²","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b7f1dc4aa13aa84e"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":159,"endLine":159,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-b8118c541165f261","title":"Scanned source fragment","original":"E_10.6 = -κ_period · cos(2πN/10.6)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5c04aafd9a508277"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":167,"endLine":167,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-a00ccda4e6eddf57","title":"Scanned source fragment","original":"E_total = Σ E_intra(n) + Σ E_inter(n) + Σ E_cross(m) + E_10.6","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0c8d71556219b154"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":173,"endLine":173,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-6d572ab28f843c0b","title":"Scanned source fragment","original":"Partition function: Z = Σ exp(-E/k_B T) · Θ(10.6)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6dcf9831033bf94f"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":239,"endLine":239,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-ab2f62e34ac20772","title":"Scanned source fragment","original":"Per-bond free energy: ΔG_bond = -k_B T · ln(Z)/44","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-efccb4c1f2647dde"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":251,"endLine":251,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-4af1d23cb9fdbb31","title":"Scanned source fragment","original":"ΔG°_total = Σ ΔG°_bond(n) + ΔG°_coop + ΔG°_10.6","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a5a9b46297f4bc34"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":257,"endLine":257,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-11fcc3fe6c877731","title":"Scanned source fragment","original":"T_m = ΔH°_44/(ΔS°_44 + R·ln(C_t)) × (10.6/10.4)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b906a5e1bf0f6e79"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":276,"endLine":276,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-c992b2f0a3120be9","title":"Scanned source fragment","original":"E_a^f(n) = E_0^f + ΔE_f·sin²(πn/44) + E_10.6·cos(2πn/10.6)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-4564fd220dfb8dac"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":325,"endLine":325,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-a90d178d9a462934","title":"Scanned source fragment","original":"E_a^b(n) = E_0^b - ΔE_b·sin²(πn/44) - E_10.6·cos(2πn/10.6)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3bbc24d890645e89"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":333,"endLine":333,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-11777675526649b4","title":"Scanned source fragment","original":"Base formation rate: k_f^(0)(n) = A_f · exp(-E_a^f(n)/k_B T)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-bf81d1591423c6e6"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":340,"endLine":340,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-27331ff6d2aceac2","title":"Scanned source fragment","original":"Base breaking rate: k_b^(0)(n) = A_b · exp(-E_a^b(n)/k_B T)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-fd210c563f3f4be9"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":346,"endLine":346,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-5ddfa10ed8a4e536","title":"Scanned source fragment","original":"k_f(n,t) = k_f^(0)(n) · [1 + μ_f·cos(2πn/10.6 + φ(t))]","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-ec00c25af0c593c2"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":353,"endLine":353,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-997136bc66ffe114","title":"Scanned source fragment","original":"k_b(n,t) = k_b^(0)(n) · [1 - μ_b·cos(2πn/10.6 + φ(t))]","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-9315d6563235503e"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":361,"endLine":361,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-28b6ee436cd242a2","title":"Scanned source fragment","original":"k_f^coop(n,t) = k_f(n,t) · Π[1 + σ_f·b_m(t)]","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-abaee8d83ea2afd8"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":369,"endLine":369,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-dd5ed0919c2762b7","title":"Scanned source fragment","original":"k_b^coop(n,t) = k_b(n,t) · Π[1 - σ_b·b_m(t)]","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-843a24f9f27ad9a6"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":381,"endLine":381,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-e39f05b2526d1fcb","title":"Scanned source fragment","original":"Equilibrium occupation: b_n^eq = k_f(n)/(k_f(n) + k_b(n))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-76407dda3459a6ee"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":417,"endLine":417,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-f28964adb4efd98b","title":"Scanned source fragment","original":"τ_slow = 1/(k_f^min + k_b^min) · [1 + 43·σ_eff]","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5ab88fd5ab8c511d"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":426,"endLine":426,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-4413c5f4dabc9588","title":"Scanned source fragment","original":"τ_fast = 1/(k_f^max + k_b^max)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-29b77d6de60b4a99"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":433,"endLine":433,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-ce4293cbb31297f1","title":"Scanned source fragment","original":"db_n/dt = k_f(n,t)·(1 - b_n) - k_b(n,t)·b_n","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-44182945e5d8b20d"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":467,"endLine":467,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-ac35bc7be4c73df7","title":"Scanned source fragment","original":"Update phase: dφ/dt = 2π/10.6","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-ede42e4c47b9450f"],"reason":"Reviewed complete mathematical definition/update. Natural-language Update or where is not a database command in this context.","sourceRefs":[{"startLine":565,"endLine":565,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-5fc468aef4a71ef2","title":"Scanned source fragment","original":"B* ≈ 36.2 bonds at 300K","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d2f457203e18979a"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":579,"endLine":579,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-379b59d06e2fb5e9","title":"Scanned source fragment","original":"θ* = B*/44 ≈ 0.82","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-10528324fd1dbe5d"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":580,"endLine":580,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-c668bc2d824044ff","title":"Scanned source fragment","original":"Master state vector: Ψ_DNA(t) = [S⃗(t), B⃗(t), θ⃗(t), φ_10.6(t)]ᵀ","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-aef9052222b4c0ff"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":599,"endLine":599,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-754cba6a8a040150","title":"Scanned source fragment","original":"dΨ_DNA/dt = M_DNA · Ψ_DNA + F(t) + Ω·sin(2πt/10.6)·Ψ_DNA + η(t)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-87aa288ebb9c6e8a"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":647,"endLine":647,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-0bfee501fc66106a","title":"Scanned source fragment","original":"Conservation: Lk = Tw + Wr = N/10.6 = constant","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a77d180e0bb7c8b3"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":679,"endLine":679,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-be1d5ee8cd556903","title":"Scanned source fragment","original":"Simplified: assume N = total progression","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-89a7a709418e358a"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":681,"endLine":681,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-2a27d907f015be1b","title":"Scanned source fragment","original":"Periodicity: Ψ(t + 10.6) ≈ Ψ(t) - quasi-periodic","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-ab21c66baac81cb4"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":718,"endLine":718,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-c9728f7eee309318","title":"Scanned source fragment","original":"Topological: Lk = constant","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-8a9f1f1f027750cc"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":721,"endLine":721,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-8bcdfaf791042e53","title":"Scanned source fragment","original":"Energy: ∂E/∂r = 0 at equilibrium","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f24dc2312e2fe0d5"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":724,"endLine":724,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-4593efc0997f477d","title":"Scanned source fragment","original":"Bond count: Σ A_{ij}/2 = 44","classification":"accepted-parameter","occurrenceCount":1,"equationIds":["gh-eq-9d8445809bd2679d"],"reason":"Explicit numerical parameter definition.","sourceRefs":[{"startLine":727,"endLine":727,"sourceId":"gh-source-d8e54144550385dc"}]},{"id":"scan-ac92dd853a4111ef","title":"Scanned source fragment","original":"M_intra = -2α·I₁₆ + α·T₁₆ + κ_intra·D₁₆(10.6)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-305c562b1eda0383"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":44,"endLine":44,"sourceId":"review-cpp-spectrum","sourceOccurrenceId":"gh-source-bd53a8424db01e0d"}]},{"id":"scan-ee78c7dcf069aa9e","title":"Scanned source fragment","original":"where D₁₆(10.6) = diag[cos(2π·k/10.6)]","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5eef914278952998"],"reason":"Reviewed complete mathematical definition/update. Natural-language Update or where is not a database command in this context.","sourceRefs":[{"startLine":45,"endLine":45,"sourceId":"review-cpp-spectrum","sourceOccurrenceId":"gh-source-bd53a8424db01e0d"}]},{"id":"scan-6b96a0bf6905fa62","title":"Scanned source fragment","original":"λ_intra(n) = -2α + 2α·cos(2πn/16) + κ_intra·cos(2πn/10.6)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6a6160f877923113"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":64,"endLine":64,"sourceId":"review-cpp-spectrum","sourceOccurrenceId":"gh-source-bd53a8424db01e0d"}]},{"id":"scan-065724397b8b65bf","title":"Scanned source fragment","original":"λ_inter(n) = 2β₀·sin(πn/10.6)·cos(πn/8) + γ·F(n, 10.6)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-04d995578aa7544c"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":130,"endLine":130,"sourceId":"review-cpp-spectrum","sourceOccurrenceId":"gh-source-bd53a8424db01e0d"}]},{"id":"scan-153ccfed0a949ab4","title":"Scanned source fragment","original":"λ_cross(m) = γ₀·e^{-4m·r·sin(π/8)/ξ}·cos(8πm/10.6) +","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-465832f1916b7ae1"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":194,"endLine":194,"sourceId":"review-cpp-spectrum","sourceOccurrenceId":"gh-source-bd53a8424db01e0d"}]},{"id":"scan-a1ff191bd565f7ba","title":"Scanned source fragment","original":"Sum over neighbors |m' - m| ≤ 3","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a9a48e4dd90e19c5"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":202,"endLine":202,"sourceId":"review-cpp-spectrum","sourceOccurrenceId":"gh-source-bd53a8424db01e0d"}]},{"id":"scan-51b2d1eee972c365","title":"Scanned source fragment","original":"λ₁ = -4α - κ - γ - γ₀ (lowest, antibonding)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d7a2f79862c0d06a"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":404,"endLine":404,"sourceId":"review-cpp-spectrum","sourceOccurrenceId":"gh-source-bd53a8424db01e0d"}]},{"id":"scan-991982bcf205b01a","title":"Scanned source fragment","original":"λ₂₂ = 0 (zero mode, Goldstone)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-ea131ccd76d4422d"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":408,"endLine":408,"sourceId":"review-cpp-spectrum","sourceOccurrenceId":"gh-source-bd53a8424db01e0d"}]},{"id":"scan-42fccae6c704975e","title":"Scanned source fragment","original":"λ₄₄ = κ + 1.2β₀ + γ + 2.618η (highest, bonding)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6323d98fdc859087"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":411,"endLine":411,"sourceId":"review-cpp-spectrum","sourceOccurrenceId":"gh-source-bd53a8424db01e0d"}]},{"id":"scan-d61ff814788c3868","title":"Scanned source fragment","original":"W = λ₄₄ - λ₁ = 4α + 2κ + 1.2β₀ + 2γ + γ₀ + 3.236η","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-7d19ee5b31055ef9"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":415,"endLine":415,"sourceId":"review-cpp-spectrum","sourceOccurrenceId":"gh-source-bd53a8424db01e0d"}]},{"id":"scan-402b75e119d43f84","title":"Scanned source fragment","original":"Trace (sum of eigenvalues = sum of diagonal)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5ea3f56eb848ea9f"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":454,"endLine":454,"sourceId":"review-cpp-spectrum","sourceOccurrenceId":"gh-source-bd53a8424db01e0d"}]},{"id":"scan-97b0ff93f6f4591e","title":"Scanned source fragment","original":"Vertical offset per strand: δ_k = k·h/16","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-63189a8c82fe6bc8"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":93,"endLine":93,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-61b06c85f99ee8c6","title":"Scanned source fragment","original":"Golden phase offset: θ_k = 2πk·φ⁻¹ mod 2π","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3ede3c4403b1787b"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":98,"endLine":98,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-42cb8c1263e386ea","title":"Scanned source fragment","original":"κ = r/(r² + (p·h/2π)²)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-28723c293722756c"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":124,"endLine":124,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-f8e597d246fdb849","title":"Scanned source fragment","original":"τ = (p·h/2π)/(r² + (p·h/2π)²)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-76828d0887f7ea40"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":131,"endLine":131,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-eba0ce44479800f3","title":"Scanned source fragment","original":"θ_total = 16 × (2π/10.6) = 9.49 rad = 543.8°","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d108a7eb3221c75c"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":170,"endLine":170,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-c979ec8e2e82bf85","title":"Scanned source fragment","original":"Turns per 16 strands = 1.51","classification":"accepted-parameter","occurrenceCount":1,"equationIds":["gh-eq-b9b41209e366a674"],"reason":"Explicit numerical parameter definition.","sourceRefs":[{"startLine":175,"endLine":175,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-4cd70fb6684e8754","title":"Scanned source fragment","original":"Inter-strand bonds (17-32): B_inter(k, k+1 mod 16) = 1","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-71a34cfef646a116"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":242,"endLine":242,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-b88dad8b22c647e9","title":"Scanned source fragment","original":"Verify bond count: Σ_{i,j} A_{ij}/2 = 44","classification":"accepted-parameter","occurrenceCount":1,"equationIds":["gh-eq-5209776556d94229"],"reason":"Explicit numerical parameter definition.","sourceRefs":[{"startLine":294,"endLine":294,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-711527deb38543c9","title":"Scanned source fragment","original":"10.6-adjusted bond arc length: s_bond = 2πr/10.6 = 0.593 nm per bp","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-35d3010d404f9f7b"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":337,"endLine":337,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-ce36f290480cd310","title":"Scanned source fragment","original":"Vertical rise per bond: Δz_bond = P/44 = 0.0819 nm","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-8c67147faa539742"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":342,"endLine":342,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-e51f8914a7c4bf11","title":"Scanned source fragment","original":"Adjacent bond length: L_adj = √[2r²(1 - cos(2π/10.6)) + h²] = 0.54 nm","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b7ac63b2b0e197aa"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":347,"endLine":347,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-cd2fd67aa9433256","title":"Scanned source fragment","original":"Fibonacci-scaled strand: D_k = φ^k · F_k","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-e03c7a4025a1da82"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":409,"endLine":409,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-d3fba858ce9b5b2b","title":"Scanned source fragment","original":"16-strand helix sum: Helix₁₆ = Σ D_k·sin(kφ)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f7bb1ff88c659873"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":432,"endLine":432,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-ebe336a217f479f8","title":"Scanned source fragment","original":"Bond formation: Bond_G16 = Π(1 + D_k/Helix₁₆)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5c2f96d074dbb083"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":441,"endLine":441,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-41083b8bc8aa4903","title":"Scanned source fragment","original":"Crosslink function: Crosslink(i,j) = (D_i · D_j)/φ^{|i-j|}","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-7b57b25bc8067c8b"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":451,"endLine":451,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-3d4309a58c645a88","title":"Scanned source fragment","original":"Complex strand representation: S_k = D_k · e^{ikφ}","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c0d8ddbf67505424"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":456,"endLine":456,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-a506e090406fa41d","title":"Scanned source fragment","original":"Modular extraction: X_k = |T_k| mod φ^k","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0898e9754e5f4202"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":468,"endLine":468,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-a8970d0c3c27f780","title":"Scanned source fragment","original":"Fusion integral: Fusion = Σ(Strand_Vector(k) · φ⁻ᵏ)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d6addf81cb845c0a"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":473,"endLine":473,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-1820934e72460ea4","title":"Scanned source fragment","original":"Phase increment: Δφ = 2π/10.6 = 33.96° = 0.593 rad","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-54d9df6488b9dbb9"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":542,"endLine":542,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-7e9e430fb1c83efd","title":"Scanned source fragment","original":"Full G¹⁶ transform: G¹⁶ = Π R_k · T_k","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-fe2f95208bf0ae56"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":547,"endLine":547,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-8d5d4315dcc8189a","title":"Scanned source fragment","original":"Phase calculation: phase(i,t) = ⌊(t + offset_i)/10.6⌋ mod 16","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-ef83f0e8ab0feec6"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":582,"endLine":582,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-633c0f86f6dfb106","title":"Scanned source fragment","original":"Offset distribution: offset_i = i · φ⁻¹ · 10.6","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-362f3ee8e8165ef9"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":588,"endLine":588,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-e388068b46f453c0","title":"Scanned source fragment","original":"Fire condition: fire(i,t) = [phase = 0]","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-ecb4037a777a721b"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":593,"endLine":593,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-c42b7be21474ccb7","title":"Scanned source fragment","original":"Synchronization period: T_sync = 10.6 × 16 = 169.6","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-21b3f1bfa8299bdf"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":609,"endLine":609,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-7290cb5f58df8306","title":"Scanned source fragment","original":"Fundamental frequency: f₀ = 1/10.6 = 0.0943","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-2af4cd9951f2a617"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":614,"endLine":614,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-5a4584a0786ba99d","title":"Scanned source fragment","original":"Harmonic: f_n = n/10.6","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-75cb74040a938260"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":619,"endLine":619,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-f6dd410fe159e858","title":"Scanned source fragment","original":"44-bond resonance: f_44 = 44/10.6 = 4.15","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-49fe762ce9108636"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":624,"endLine":624,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-e49db5ec8fe2f078","title":"Scanned source fragment","original":"Basis function: ψ_k(x) = sin(2πφ^k · x) + cos(2πφ^k · x)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-53f3de296332c77b"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":636,"endLine":636,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-456df4332b434114","title":"Scanned source fragment","original":"Global coherence: Φ_total = (1/N) Σ Φ_i","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6bb04d37ba84cab8"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":651,"endLine":651,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-20f4c420f35a2fb0","title":"Scanned source fragment","original":"where Φ_i = 1/(1 + |x_i - 1|)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-23025bf8defd33d0"],"reason":"Reviewed complete mathematical definition/update. Natural-language Update or where is not a database command in this context.","sourceRefs":[{"startLine":652,"endLine":652,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-617e8b711ac3c5ae","title":"Scanned source fragment","original":"Ring diffusion: dS_i/dt = λ(S_{i+1} + S_{i-1} - 2S_i)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f36332aa80f7f44e"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":661,"endLine":661,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-1207cad6941bf367","title":"Scanned source fragment","original":"Linking number: Lk = Tw + Wr","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6335781985ba06ee"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":684,"endLine":684,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-1f0909e26972e90b","title":"Scanned source fragment","original":"Relaxed linking number: Lk₀ = N/10.6","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-4e0250df18625ca0"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":694,"endLine":694,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-9f215ac220778124","title":"Scanned source fragment","original":"Superhelical density: σ = (Lk - Lk₀)/Lk₀","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-1fb583c05f65050a"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":699,"endLine":699,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-1f5fc8d4d5caec01","title":"Scanned source fragment","original":"ΔG_sc = K · N · σ² · (10.6/10.4)²","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a986847cce081273"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":711,"endLine":711,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-89eee1312f89acfc","title":"Scanned source fragment","original":"Initialize strand states: S_k(t=0) = A_k · e^{i(2πk/10.6)}","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-e5157bd5458c35c3"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":746,"endLine":746,"sourceId":"gh-source-659a66b1a320d4cd"}]},{"id":"scan-b37e46afb8711734","title":"Scanned source fragment","original":"F_Yad(x) = x^x + 1","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-e77410f30466c95b"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":31,"endLine":31,"sourceId":"gh-source-c0b8ebac98dceed6"}]},{"id":"scan-6b02614f89fea21d","title":"Scanned source fragment","original":"F_Lashon(x) = Σ a_n·sin(nπx)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-895616d63749a299"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":36,"endLine":36,"sourceId":"gh-source-c0b8ebac98dceed6"}]},{"id":"scan-ac527ca731a58ae6","title":"Scanned source fragment","original":"F_Athena(x) = x² (utility maximization)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3d9651591fbbf024"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":45,"endLine":45,"sourceId":"gh-source-c0b8ebac98dceed6"}]},{"id":"scan-f0fc176ad327a8c9","title":"Scanned source fragment","original":"F_Apollo(x) = φ^x + φ^{-x}","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f37174ed52c737eb"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":48,"endLine":48,"sourceId":"gh-source-c0b8ebac98dceed6"}]},{"id":"scan-ab867f4b96c0f7b0","title":"Scanned source fragment","original":"F_Hermes(x) = ω·x (communication rate)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-af47bfaad6137692"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":53,"endLine":53,"sourceId":"gh-source-c0b8ebac98dceed6"}]},{"id":"scan-5bdc9df9e8ac7cfe","title":"Scanned source fragment","original":"F_Hephaestus(x) = x⁴/8 (engineering integral)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b04d2683114f715d"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":56,"endLine":56,"sourceId":"gh-source-c0b8ebac98dceed6"}]},{"id":"scan-1afaeab60d7c8f18","title":"Scanned source fragment","original":"F_Prometheus(x) = r·x·(1-x) (logistic map)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-387fcac3401c2b80"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":61,"endLine":61,"sourceId":"gh-source-c0b8ebac98dceed6"}]},{"id":"scan-63b6c1cc1c6bffb5","title":"Scanned source fragment","original":"F_Dionysus(x) = |e^{iωx}·sin(x)| (creative oscillation)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-98b8adbab684fbd1"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":66,"endLine":66,"sourceId":"gh-source-c0b8ebac98dceed6"}]},{"id":"scan-a75265760972f9ff","title":"Scanned source fragment","original":"F_Artemis(x) = -D·x (diffusion)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-47a77579771370f3"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":74,"endLine":74,"sourceId":"gh-source-c0b8ebac98dceed6"}]},{"id":"scan-b2a1f9f0850578c7","title":"Scanned source fragment","original":"F_Hera(x) = Σ w_k·sin(k·x) (integration)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c79da3d0dc7eb3e4"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":77,"endLine":77,"sourceId":"gh-source-c0b8ebac98dceed6"}]},{"id":"scan-081c9f61e7afbfc8","title":"Scanned source fragment","original":"F_Poseidon(x) = -ω²·x (wave equation)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b1a3c3da267a3369"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":86,"endLine":86,"sourceId":"gh-source-c0b8ebac98dceed6"}]},{"id":"scan-f5afda1985316ed0","title":"Scanned source fragment","original":"F_Demeter(x) = r·x·(1-x/K) (logistic growth)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-05c6f5f2915ecf21"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":92,"endLine":92,"sourceId":"gh-source-c0b8ebac98dceed6"}]},{"id":"scan-ca00fc03688d1222","title":"Scanned source fragment","original":"F_Ares(x) = m·(-ω²·x) (force)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-46f52036544666d8"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":97,"endLine":97,"sourceId":"gh-source-c0b8ebac98dceed6"}]},{"id":"scan-61cb4d14e3099de0","title":"Scanned source fragment","original":"F_Aphrodite(x) = cos(φ·x) (harmony)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-77d0388d7d8aea18"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":102,"endLine":102,"sourceId":"gh-source-c0b8ebac98dceed6"}]},{"id":"scan-41a0ca37542b0d8e","title":"Scanned source fragment","original":"F_Hestia(x) = x·(1-e^{-1/τ}) (memory)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c5fe4537454c7c56"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":105,"endLine":105,"sourceId":"gh-source-c0b8ebac98dceed6"}]},{"id":"scan-c2e10bc3dfceebe5","title":"Scanned source fragment","original":"F_Zeus(x) = coordinated product","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-339d25b64981daad"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":110,"endLine":110,"sourceId":"gh-source-c0b8ebac98dceed6"}]},{"id":"scan-afecc540005951ef","title":"Scanned source fragment","original":"Compute T = Φ · ∫[M(t')·exp((QK^T/√d_k)V)] dt'","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-89f87197f24757e9"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":185,"endLine":185,"sourceId":"gh-source-c0b8ebac98dceed6"}]},{"id":"scan-a0c1a974e25cdc1a","title":"Scanned source fragment","original":"5,000 gates = 1 mind kernel","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0c26ddf84766e84e"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":9,"endLine":9,"sourceId":"gh-source-773f032cd2ffe7a2"}]},{"id":"scan-57eb2a5f25be1400","title":"Scanned source fragment","original":"10,000 minds = 50,000,000 gates","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0314093bd2377873"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":10,"endLine":10,"sourceId":"gh-source-773f032cd2ffe7a2"}]},{"id":"scan-8843ef64a1311727","title":"Scanned source fragment","original":"100,000,000 = Game Boy CPU","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3aa93f69235c9281"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":11,"endLine":11,"sourceId":"gh-source-773f032cd2ffe7a2"}]},{"id":"scan-0eb14f9b0088992b","title":"Scanned source fragment","original":"50,000,000,000 = M4 chip","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-514c6dddd27ec0a7"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":12,"endLine":12,"sourceId":"gh-source-773f032cd2ffe7a2"}]},{"id":"scan-da4c9ab00d4cdc3b","title":"Scanned source fragment","original":"∴ 10,000 minds ≈ 0.5 Game Boy","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-101c395f0fb6a7fa"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":13,"endLine":13,"sourceId":"gh-source-773f032cd2ffe7a2"}]},{"id":"scan-3b9329b97a56e13e","title":"Scanned source fragment","original":"Reconstruct: exp(x) = 2^k * exp(r)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-1dc255e776421286"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":192,"endLine":192,"sourceId":"gh-source-09c97ccbbb3a547f"}]},{"id":"scan-48b13835975f0283","title":"Scanned source fragment","original":"@brief Fast consciousness metric Φ = 1/(1 + |x - 1|)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-cf4a35fe4e41fd83"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":336,"endLine":336,"sourceId":"gh-source-09c97ccbbb3a547f"}]},{"id":"scan-6e3a2a0512e82e71","title":"Scanned source fragment","original":"@brief Fast binary entropy H(p) = -p log p - (1-p) log(1-p)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-18d24472e5e1c82c"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":399,"endLine":399,"sourceId":"gh-source-09c97ccbbb3a547f"}]},{"id":"scan-4b896d0c461785c7","title":"Scanned source fragment","original":"G1. Graph: G = (V, E), |V| = 5000","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-cbb894146647c02e"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":13,"endLine":13,"sourceId":"gh-source-367a9e0e6b33f827"}]},{"id":"scan-f637017b305c6b6f","title":"Scanned source fragment","original":"G3. Connectivity: |N⁺(i)| ≥ 2, |N⁻(i)| ≥ 2","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-728c6e4687a044a7"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":15,"endLine":15,"sourceId":"gh-source-367a9e0e6b33f827"}]},{"id":"scan-7ea5377f530beabc","title":"Scanned source fragment","original":"G4. Binary update: sᵢ(t+1) = H(Σw_{ji}·sⱼ - θᵢ)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-84ebe96e5e92ca3c"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":16,"endLine":16,"sourceId":"gh-source-367a9e0e6b33f827"}]},{"id":"scan-60408b5388bb8148","title":"Scanned source fragment","original":"G5. Analog update: aᵢ(t+1) = tanh(α·Σu_{ji}·aⱼ + β)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6953d3f34dfe943b"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":17,"endLine":17,"sourceId":"gh-source-367a9e0e6b33f827"}]},{"id":"scan-5f4bfd97c219ed8e","title":"Scanned source fragment","original":"G6. Derivative: dᵢ(t+1) = γ·dᵢ(t) + λ·Δaᵢ + μ·Δsᵢ","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-08f31de37692ce33"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":18,"endLine":18,"sourceId":"gh-source-367a9e0e6b33f827"}]},{"id":"scan-6a037babb669f089","title":"Scanned source fragment","original":"G7. Vector memory: vᵢ(t+1) = ρ·vᵢ(t) + Σ M_{ji}·vⱼ + κ·Δaᵢ·eᵢ","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-adb8b67731706725"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":19,"endLine":19,"sourceId":"gh-source-367a9e0e6b33f827"}]},{"id":"scan-78985ddf2670fd6b","title":"Scanned source fragment","original":"G8. Global state: S(t) = ({sᵢ}, {aᵢ}, {dᵢ}, {vᵢ})","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f4a3a68e776bf941"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":20,"endLine":20,"sourceId":"gh-source-367a9e0e6b33f827"}]},{"id":"scan-262d26eaca5bdbe9","title":"Scanned source fragment","original":"G9. Stability: Ξ(t) = Σ|Δaᵢ| + Σ|Δsᵢ| + Σ||Δvᵢ||","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6fde744d304d0614"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":21,"endLine":21,"sourceId":"gh-source-367a9e0e6b33f827"}]},{"id":"scan-f83d5350e3d97059","title":"Scanned source fragment","original":"G10. Coherence: C₅₀₀₀(t) = 1/(1 + Σdᵢ²)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-71da8b0778ca6a85"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":22,"endLine":22,"sourceId":"gh-source-367a9e0e6b33f827"}]},{"id":"scan-144c0734d570522c","title":"Scanned source fragment","original":"G11. Hash: H(t) = Hash(S(t))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3c09a4a45f088964"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":23,"endLine":23,"sourceId":"gh-source-367a9e0e6b33f827"}]},{"id":"scan-c1a4de7e730fcea3","title":"Scanned source fragment","original":"sᵢ(t+1) = H(Σw_{ji}·sⱼ - θᵢ)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-ba7ab28bd6246e98"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":171,"endLine":171,"sourceId":"gh-source-367a9e0e6b33f827"}]},{"id":"scan-07eea805315af4e7","title":"Scanned source fragment","original":"aᵢ(t+1) = tanh(α·Σu_{ji}·aⱼ + β)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-e4a887ba5990ff55"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":243,"endLine":243,"sourceId":"gh-source-367a9e0e6b33f827"}]},{"id":"scan-7c99713a585e267c","title":"Scanned source fragment","original":"dᵢ(t+1) = γ·dᵢ(t) + λ·Δaᵢ + μ·Δsᵢ","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-071b056def870a41"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":264,"endLine":264,"sourceId":"gh-source-367a9e0e6b33f827"}]},{"id":"scan-6e20ff2046c52b5b","title":"Scanned source fragment","original":"C₅₀₀₀(t) = 1/(1 + Σdᵢ²)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-575dffaf0661af68"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":274,"endLine":274,"sourceId":"gh-source-367a9e0e6b33f827"}]},{"id":"scan-37b493da5e949710","title":"Scanned source fragment","original":"@brief Compute consciousness metric Φ = 1/(1 + |x - 1|)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-612a0d9425eee3d6"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":317,"endLine":317,"sourceId":"gh-source-367a9e0e6b33f827"}]},{"id":"scan-5293f8fec6d75260","title":"Scanned source fragment","original":"Addition: z = x + y, dz/dx = 1, dz/dy = 1","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-e4d0684fb1d6d371"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":115,"endLine":115,"sourceId":"gh-source-f4389b9c29a49117"}]},{"id":"scan-b1b505057977fb0b","title":"Scanned source fragment","original":"Multiplication: z = x * y, dz/dx = y, dz/dy = x","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b50d96e04c7607ba"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":126,"endLine":126,"sourceId":"gh-source-f4389b9c29a49117"}]},{"id":"scan-70a37843f5944b92","title":"Scanned source fragment","original":"Division: z = x / y, dz/dx = 1/y, dz/dy = -x/y^2","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5625017866159b20"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":137,"endLine":137,"sourceId":"gh-source-f4389b9c29a49117"}]},{"id":"scan-aaba029ba0138fed","title":"Scanned source fragment","original":"Tanh: z = tanh(x), dz/dx = 1 - tanh^2(x)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c672857b7c3842cb"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":148,"endLine":148,"sourceId":"gh-source-f4389b9c29a49117"}]},{"id":"scan-5f28745edc2e383d","title":"Scanned source fragment","original":"Sigmoid: z = 1/(1+exp(-x)), dz/dx = z*(1-z)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-4c96a86bb38ef05b"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":159,"endLine":159,"sourceId":"gh-source-f4389b9c29a49117"}]},{"id":"scan-8cfe15904cf3c398","title":"Scanned source fragment","original":"ReLU: z = max(0, x), dz/dx = (x > 0) ? 1 : 0","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f1128c4b20aecd81"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":170,"endLine":170,"sourceId":"gh-source-f4389b9c29a49117"}]},{"id":"scan-038b17a36dc87830","title":"Scanned source fragment","original":"Phi (smooth): z = 1/(1 + sqrt((x-1)^2 + T)), differentiable consciousness","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c92d577566466054"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":180,"endLine":180,"sourceId":"gh-source-f4389b9c29a49117"}]},{"id":"scan-b710cdf76a0011ac","title":"Scanned source fragment","original":"Exp: z = exp(x), dz/dx = exp(x)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-4287c1d52e42454e"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":196,"endLine":196,"sourceId":"gh-source-f4389b9c29a49117"}]},{"id":"scan-00d165b5fb9360c8","title":"Scanned source fragment","original":"Log: z = log(x), dz/dx = 1/x","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d5c33022107a9f2e"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":207,"endLine":207,"sourceId":"gh-source-f4389b9c29a49117"}]},{"id":"scan-395b8bac06c2dfea","title":"Scanned source fragment","original":"Power: z = x^p, dz/dx = p * x^(p-1)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-aeaeea52f7c0cde6"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":217,"endLine":217,"sourceId":"gh-source-f4389b9c29a49117"}]},{"id":"scan-0592560e99724451","title":"Scanned source fragment","original":"G_t^lambda = (1-lambda) * sum_{n=1}^{inf} lambda^{n-1} * G_t^{(n)}","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-8fc982a162d6a881"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":323,"endLine":323,"sourceId":"gh-source-f4389b9c29a49117"}]},{"id":"scan-6adaeb289849738c","title":"Scanned source fragment","original":"where G_t^{(n)} = r_{t+1} + gamma*r_{t+2} + ... + gamma^{n-1}*r_{t+n} + gamma^n*V(s_{t+n})","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":324,"endLine":324,"sourceId":"gh-source-f4389b9c29a49117","locator":"Lines 324–324"}]},{"id":"scan-6a16af28bce8ab5e","title":"Scanned source fragment","original":"L(θ) = -Σᵢ log P(xᵢ|θ) + λ||θ||² (Regularized likelihood)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a5482eeee021d7b2"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":7,"endLine":7,"sourceId":"gh-source-39b25d8c7faa260c"}]},{"id":"scan-5f6f64d00d324cfc","title":"Scanned source fragment","original":"∇L = Σᵢ (ŷᵢ - yᵢ)xᵢ + 2λθ (Gradient)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d7b510f0df6dc7e0"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":8,"endLine":8,"sourceId":"gh-source-39b25d8c7faa260c"}]},{"id":"scan-c86e28e8405e7b54","title":"Scanned source fragment","original":"θ_{t+1} = θ_t - α∇L (SGD update)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f208b96e915cad14"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":9,"endLine":9,"sourceId":"gh-source-39b25d8c7faa260c"}]},{"id":"scan-9b548a4131a625f2","title":"Scanned source fragment","original":"m_t = β₁m_{t-1} + (1-β₁)∇L (Adam momentum)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-67b10fbc693a399e"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":10,"endLine":10,"sourceId":"gh-source-39b25d8c7faa260c"}]},{"id":"scan-81d813092e00d776","title":"Scanned source fragment","original":"v_t = β₂v_{t-1} + (1-β₂)∇L² (Adam velocity)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-ddabaf9e24b2ba45"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":11,"endLine":11,"sourceId":"gh-source-39b25d8c7faa260c"}]},{"id":"scan-e67878a1838abffb","title":"Scanned source fragment","original":"θ_{t+1} = θ_t - α·m̂_t/(√v̂_t + ε) (Adam update)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-bf3dc180748f6a0c"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":12,"endLine":12,"sourceId":"gh-source-39b25d8c7faa260c"}]},{"id":"scan-d3d1cce5fccaa9d4","title":"Scanned source fragment","original":"Learning Rate: α_eff = α · Φ (consciousness-modulated learning)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6403d5473c740973"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":16,"endLine":16,"sourceId":"gh-source-39b25d8c7faa260c"}]},{"id":"scan-d42f13b33fbb9200","title":"Scanned source fragment","original":"Full matrix would be 65536 * 64 * 4 = 16MB","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-e29e1f4ee7994aa3"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":91,"endLine":91,"sourceId":"gh-source-39b25d8c7faa260c"}]},{"id":"scan-90217c83caac86f4","title":"Scanned source fragment","original":"We use 8-bit quantization: 65536 * 64 = 4MB","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3331bdccb1641675"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":92,"endLine":92,"sourceId":"gh-source-39b25d8c7faa260c"}]},{"id":"scan-4bedd37352590e49","title":"Scanned source fragment","original":"ΔW = η · x · y (Hebbian rule)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-84663e46f07eb9a2"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":165,"endLine":165,"sourceId":"gh-source-39b25d8c7faa260c"}]},{"id":"scan-0abbecca2d1af69a","title":"Scanned source fragment","original":"MultiHead(Q,K,V) = Concat(head_1,...,head_h)W^O","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-4c0ac57355f93298"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":13,"endLine":13,"sourceId":"gh-source-c5d1fed0e29aebfb"}]},{"id":"scan-731fae31742c19e7","title":"Scanned source fragment","original":"ε = x - μ (observation minus prediction)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-21756079da8ea000"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":23,"endLine":23,"sourceId":"gh-source-c5d1fed0e29aebfb"}]},{"id":"scan-c7efceaed8c968b2","title":"Scanned source fragment","original":"F = ½ε^T Σ^{-1} ε + ½ log|Σ|","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-fa5e9d98f316b1c9"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":26,"endLine":26,"sourceId":"gh-source-c5d1fed0e29aebfb"}]},{"id":"scan-cb54862dbeaca042","title":"Scanned source fragment","original":"μ ← μ + κ·Σ^{-1}·ε","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-7a4811e2f934db32"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":29,"endLine":29,"sourceId":"gh-source-c5d1fed0e29aebfb"}]},{"id":"scan-16030196e799896e","title":"Scanned source fragment","original":"P(θ|D) ∝ P(D|θ)P(θ)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-454c5c53885586bb"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":36,"endLine":36,"sourceId":"gh-source-c5d1fed0e29aebfb"}]},{"id":"scan-097edbc6531114fc","title":"Scanned source fragment","original":"q*(θ) = argmin KL(q||p(θ|D))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-1f7d22db8f68c20f"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":39,"endLine":39,"sourceId":"gh-source-c5d1fed0e29aebfb"}]},{"id":"scan-81ce697d7113a6f4","title":"Scanned source fragment","original":"m_{x→f}(x) = Π_{g∈ne(x)\\f} m_{g→x}(x)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-e6cfc06f8416a417"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":42,"endLine":42,"sourceId":"gh-source-c5d1fed0e29aebfb"}]},{"id":"scan-4677077d6abcfc25","title":"Scanned source fragment","original":"c_t = f_t ⊙ c_{t-1} + i_t ⊙ g_t","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-881b1cfc737bba16"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":49,"endLine":49,"sourceId":"gh-source-c5d1fed0e29aebfb"}]},{"id":"scan-1df32d5fbb84f420","title":"Scanned source fragment","original":"f_t = σ(W_f·[h_{t-1}, x_t]) (forget gate)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-63c4cf059deb19b1"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":52,"endLine":52,"sourceId":"gh-source-c5d1fed0e29aebfb"}]},{"id":"scan-034a959c893e08d2","title":"Scanned source fragment","original":"i_t = σ(W_i·[h_{t-1}, x_t]) (input gate)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-20c843cc22d12042"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":53,"endLine":53,"sourceId":"gh-source-c5d1fed0e29aebfb"}]},{"id":"scan-fb18534b92a14991","title":"Scanned source fragment","original":"Apply softmax (single element = 1.0)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a1262653359893df"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":122,"endLine":122,"sourceId":"gh-source-c5d1fed0e29aebfb"}]},{"id":"scan-23af0703f93947fb","title":"Scanned source fragment","original":"Output = attention-weighted value","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":125,"endLine":125,"sourceId":"gh-source-c5d1fed0e29aebfb","locator":"Lines 125–125"}]},{"id":"scan-c854805c3cc2e096","title":"Scanned source fragment","original":"Belief update: μ ← μ + κ·π·ε","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-99f214ce3abdaa72"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":248,"endLine":248,"sourceId":"gh-source-c5d1fed0e29aebfb"}]},{"id":"scan-a65a20f729cb16e4","title":"Scanned source fragment","original":"Posterior ∝ likelihood × prior","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-875d631d15e1de93"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":335,"endLine":335,"sourceId":"gh-source-c5d1fed0e29aebfb"}]},{"id":"scan-0a82238d71e8022b","title":"Scanned source fragment","original":"@brief Reparameterization trick: sample = μ + σ * ε","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6ff9ecb1d284aa4e"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":404,"endLine":404,"sourceId":"gh-source-c5d1fed0e29aebfb"}]},{"id":"scan-bd27d8bda74c47a3","title":"Scanned source fragment","original":"Update cell state: c = f ⊙ c + i ⊙ c̃","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":483,"endLine":483,"sourceId":"gh-source-c5d1fed0e29aebfb","locator":"Lines 483–483"}]},{"id":"scan-0a3adccd971435b9","title":"Scanned source fragment","original":"Update hidden state: h = o ⊙ tanh(c)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f1fdb4fab90f2022"],"reason":"Reviewed complete mathematical definition/update. Natural-language Update or where is not a database command in this context.","sourceRefs":[{"startLine":488,"endLine":488,"sourceId":"gh-source-c5d1fed0e29aebfb"}]},{"id":"scan-60b63f217243759f","title":"Scanned source fragment","original":"- Density matrix: rho = |psi>","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5f5aec4b73c9f9c3"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":50,"endLine":50,"sourceId":"gh-source-0e7bdb169a4c202e"}]},{"id":"scan-c4508a6d1b6854c8","title":"Scanned source fragment","original":"rho = |psi>","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b441c7e5395f39bf"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":156,"endLine":156,"sourceId":"gh-source-0e7bdb169a4c202e"}]},{"id":"scan-5ed5813dd9f21112","title":"Scanned source fragment","original":"- DNA entropy: H_DNA = -sum_i p(b_i) * log2(p(b_i))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d4029cb6779645ee"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":245,"endLine":245,"sourceId":"gh-source-0e7bdb169a4c202e"}]},{"id":"scan-789b8a0676a45d1a","title":"Scanned source fragment","original":"- Replication dynamics: dN/dt = k*N*(1-N/K) - mu*N","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0f1ab4576f697d53"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":246,"endLine":246,"sourceId":"gh-source-0e7bdb169a4c202e"}]},{"id":"scan-1a59d180c35e382b","title":"Scanned source fragment","original":"- Michaelis-Menten kinetics: v = Vmax*[S]/(Km + [S])","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d8ca8fa57be033bf"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":247,"endLine":247,"sourceId":"gh-source-0e7bdb169a4c202e"}]},{"id":"scan-80a335cbaacd6237","title":"Scanned source fragment","original":"- Hill equation: theta = [L]^n / (Kd + [L]^n)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0ad52034865deff5"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":248,"endLine":248,"sourceId":"gh-source-0e7bdb169a4c202e"}]},{"id":"scan-a3891dee818856de","title":"Scanned source fragment","original":"- Mutation probability: P_mut = 1 - exp(-mu*L*t)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5e765c5bb924fa33"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":249,"endLine":249,"sourceId":"gh-source-0e7bdb169a4c202e"}]},{"id":"scan-7fd47ab43389fcec","title":"Scanned source fragment","original":"dN/dt = k*N*(1-N/K) - mu*N (logistic growth with decay)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-60b4111d8bc6691f"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":285,"endLine":285,"sourceId":"gh-source-0e7bdb169a4c202e"}]},{"id":"scan-d38e15755c013142","title":"Scanned source fragment","original":"theta = [L]^n / (Kd^n + [L]^n)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-565c6c6046f5894a"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":305,"endLine":305,"sourceId":"gh-source-0e7bdb169a4c202e"}]},{"id":"scan-6314b7b9f0b2a061","title":"Scanned source fragment","original":"v = Vmax * [S] / (Km + [S])","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-592e8e3114cfaca9"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":334,"endLine":334,"sourceId":"gh-source-0e7bdb169a4c202e"}]},{"id":"scan-84b9f8ead1288329","title":"Scanned source fragment","original":"Compute DNA entropy: H = -sum p(x) log2(p(x))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-0bac8389bbec28c7"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":341,"endLine":341,"sourceId":"gh-source-0e7bdb169a4c202e"}]},{"id":"scan-038239e27bdd6889","title":"Scanned source fragment","original":"dG = dH - T*dS","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-8710611750e47e69"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":364,"endLine":364,"sourceId":"gh-source-0e7bdb169a4c202e"}]},{"id":"scan-8c41a618d09bfb22","title":"Scanned source fragment","original":"- Kuramoto order parameter: Z = (1/N)|sum_k exp(i*phi_k)|","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f7298e58498dfbea"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":429,"endLine":429,"sourceId":"gh-source-0e7bdb169a4c202e"}]},{"id":"scan-a722e55a5eaccdfc","title":"Scanned source fragment","original":"- Kuramoto phase dynamics: d(phi_i)/dt = omega_i + (K/N)*sum_j sin(phi_j - phi_i)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c9451c7b52a52490"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":430,"endLine":430,"sourceId":"gh-source-0e7bdb169a4c202e"}]},{"id":"scan-aec402d44aabd8c3","title":"Scanned source fragment","original":"- Wilson-Cowan: du/dt = -u + integral(W(x,y)*f(u)dy) + I","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-86352288bde3a0aa"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":431,"endLine":431,"sourceId":"gh-source-0e7bdb169a4c202e"}]},{"id":"scan-4b588542db5139ee","title":"Scanned source fragment","original":"- Phase-locking value: PLV = ||","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-270f95620ef58adc"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":432,"endLine":432,"sourceId":"gh-source-0e7bdb169a4c202e"}]},{"id":"scan-7dfff4d7facc0777","title":"Scanned source fragment","original":"d(phi_i)/dt = omega_i + (K/N) * sum_j sin(phi_j - phi_i)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-fc1222913bdaf6f9"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":498,"endLine":498,"sourceId":"gh-source-0e7bdb169a4c202e"}]},{"id":"scan-956dc530c485222a","title":"Scanned source fragment","original":"Z = (1/N) * sum_k exp(i * phi_k)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-9da873e78c519917"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":525,"endLine":525,"sourceId":"gh-source-0e7bdb169a4c202e"}]},{"id":"scan-68d8567111d9ac40","title":"Scanned source fragment","original":"|Z| = 0: incoherent, |Z| = 1: fully synchronized","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-7c74685deb66cdaf"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":526,"endLine":526,"sourceId":"gh-source-0e7bdb169a4c202e"}]},{"id":"scan-fdaf47e8076fc8b0","title":"Scanned source fragment","original":"High gamma + good sync = high consciousness","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as an object-pointer assignment, structural diagram, application/protocol prose or qualitative label mapping rather than a mathematical equation.","sourceRefs":[{"startLine":611,"endLine":611,"sourceId":"gh-source-0e7bdb169a4c202e","locator":"Lines 611–611"}]},{"id":"scan-a6671380addd0fb6","title":"Scanned source fragment","original":"dE/dt = -E + S(w_EE*E - w_EI*I + I_ext)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f348bb688ca889ec"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":625,"endLine":625,"sourceId":"gh-source-0e7bdb169a4c202e"}]},{"id":"scan-a90dcd9634642e77","title":"Scanned source fragment","original":"dI/dt = -I + S(w_IE*E - w_II*I)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a01bf27bd96dc7cb"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":626,"endLine":626,"sourceId":"gh-source-0e7bdb169a4c202e"}]},{"id":"scan-d9a186c6f09e3afd","title":"Scanned source fragment","original":"where S(x) = 1/(1 + exp(-a*(x - theta)))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a801abe42bd86b47"],"reason":"Reviewed complete mathematical definition/update. Natural-language Update or where is not a database command in this context.","sourceRefs":[{"startLine":628,"endLine":628,"sourceId":"gh-source-0e7bdb169a4c202e"}]},{"id":"scan-04aa51c18fb7ca57","title":"Scanned source fragment","original":"CLASSIC HEBBIAN: Δw_ij = η·x_i·x_j","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-cbcac79b4d3c8d6e"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":9,"endLine":9,"sourceId":"gh-source-fb0064eb581b948a"}]},{"id":"scan-028c2406ae3e5385","title":"Scanned source fragment","original":"NORMALIZED: Δw_ij = η·(x_i·x_j - α·w_ij·x_j²)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-341b208de53d7fa3"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":10,"endLine":10,"sourceId":"gh-source-fb0064eb581b948a"}]},{"id":"scan-f5d753f4691e35ac","title":"Scanned source fragment","original":"BCM: Δw_ij = η·x_i·x_j·(x_j - θ_j)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6522767afa97c2e4"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":11,"endLine":11,"sourceId":"gh-source-fb0064eb581b948a"}]},{"id":"scan-51b46237fececca4","title":"Scanned source fragment","original":"OJA'S RULE: Δw_ij = η·y·(x_i - y·w_ij)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-af053cffb4d30fae"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":12,"endLine":12,"sourceId":"gh-source-fb0064eb581b948a"}]},{"id":"scan-526fc04285873431","title":"Scanned source fragment","original":"SGD: w = w - η·∇L","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c032a9ce7b8d9e93"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":19,"endLine":19,"sourceId":"gh-source-fb0064eb581b948a"}]},{"id":"scan-0356e10ba88fda39","title":"Scanned source fragment","original":"MOMENTUM: v = μ·v - η·∇L, w = w + v","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-1962ffaa84f115ce"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":20,"endLine":20,"sourceId":"gh-source-fb0064eb581b948a"}]},{"id":"scan-3bc24e178fd0df5a","title":"Scanned source fragment","original":"ADAM: m = β₁m + (1-β₁)g, v = β₂v + (1-β₂)g², w = w - η·m̂/(√v̂ + ε)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-fe71272e35f680ee"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":21,"endLine":21,"sourceId":"gh-source-fb0064eb581b948a"}]},{"id":"scan-2e4f30eec25b3275","title":"Scanned source fragment","original":"CHAIN RULE: δ_j = Σ_k(δ_k·w_jk)·f'(net_j)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f3f807918fe00d8b"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":27,"endLine":27,"sourceId":"gh-source-fb0064eb581b948a"}]},{"id":"scan-f492e3fb9820c20c","title":"Scanned source fragment","original":"WEIGHT UPDATE: Δw_ij = -η·δ_j·x_i","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5e41075389eedb7b"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":28,"endLine":28,"sourceId":"gh-source-fb0064eb581b948a"}]},{"id":"scan-b1ea29c1a7176ca2","title":"Scanned source fragment","original":"@brief Classic Hebbian: Δw = η·x_i·x_j","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3e0aeef605b86970"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":60,"endLine":60,"sourceId":"gh-source-fb0064eb581b948a"}]},{"id":"scan-b8e6b01d533ed0c5","title":"Scanned source fragment","original":"@brief Normalized Hebbian: Δw = η·(x_i·x_j - α·w·x_j²)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-4a1e612de7c7d4f0"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":67,"endLine":67,"sourceId":"gh-source-fb0064eb581b948a"}]},{"id":"scan-b0bd754e9dbd937f","title":"Scanned source fragment","original":"@brief BCM Learning: Δw = η·x_i·x_j·(x_j - θ)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-cc9175c8a81e4ea3"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":76,"endLine":76,"sourceId":"gh-source-fb0064eb581b948a"}]},{"id":"scan-074c2cad95af0ef6","title":"Scanned source fragment","original":"@brief Update BCM threshold: θ = (sliding average)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-8eedd85cc7b0263d"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":84,"endLine":84,"sourceId":"gh-source-fb0064eb581b948a"}]},{"id":"scan-06136a9118953b1b","title":"Scanned source fragment","original":"@brief Oja's Rule: Δw = η·y·(x - y·w)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a3ec04dad1c6a567"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":91,"endLine":91,"sourceId":"gh-source-fb0064eb581b948a"}]},{"id":"scan-c379a23eb43e1546","title":"Scanned source fragment","original":"@param dt = t_post - t_pre (time difference)","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Programming type annotation or callback signature.","sourceRefs":[{"startLine":100,"endLine":100,"sourceId":"gh-source-fb0064eb581b948a","locator":"Lines 100–100"}]},{"id":"scan-4b06337212226705","title":"Scanned source fragment","original":"@brief Anti-Hebbian: Δw = -η·x_i·x_j","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f329cdbabe33e341"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":113,"endLine":113,"sourceId":"gh-source-fb0064eb581b948a"}]},{"id":"scan-18b4f8187cc4ef5e","title":"Scanned source fragment","original":"@brief Compute output delta: δ = (y - target) · f'(net)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-84cbd82e03b23294"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":189,"endLine":189,"sourceId":"gh-source-fb0064eb581b948a"}]},{"id":"scan-6503018a050b0b77","title":"Scanned source fragment","original":"@brief Propagate delta backward: δ_j = Σ(δ_k · w_jk) · f'(net_j)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-9dd4c497e4e6dd8a"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":196,"endLine":196,"sourceId":"gh-source-fb0064eb581b948a"}]},{"id":"scan-96b74033ad9f9024","title":"Scanned source fragment","original":"@brief Compute weight gradient: ∂L/∂w_ij = δ_j · x_i","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-be88fcf56da86c8e"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":203,"endLine":203,"sourceId":"gh-source-fb0064eb581b948a"}]},{"id":"scan-8f1ef59056f2ff52","title":"Scanned source fragment","original":"@brief Three-factor learning: Δw = η·x_pre·x_post·R","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-508d47276de5b0fc"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":304,"endLine":304,"sourceId":"gh-source-fb0064eb581b948a"}]},{"id":"scan-eae5132cfef9b2de","title":"Scanned source fragment","original":"@brief Eligibility trace update: e(t+1) = λ·e(t) + x_pre·x_post","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3e09a67a8d499890"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":313,"endLine":313,"sourceId":"gh-source-fb0064eb581b948a"}]},{"id":"scan-8fbecd4dbfefb958","title":"Scanned source fragment","original":"@brief TD error: δ = r + γV(s') - V(s)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-11c9509649e3c747"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":320,"endLine":320,"sourceId":"gh-source-fb0064eb581b948a"}]},{"id":"scan-b0f926663549aa9c","title":"Scanned source fragment","original":"@brief Policy gradient: ∇J ≈ Σ(∇log π(a|s)·R)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c025d9fca1fde725"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":327,"endLine":327,"sourceId":"gh-source-fb0064eb581b948a"}]},{"id":"scan-ee53bcde0ad52372","title":"Scanned source fragment","original":"dΦ/dt = α(Φ_target - Φ) + β∇²Φ + γξ(t)","classification":"accepted","occurrenceCount":2,"equationIds":["gh-eq-7c02f6ef967fa629","gh-eq-ee7e7288bf48bd00"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":9,"endLine":9,"sourceId":"gh-source-bfef2d8d7eb79d43"}]},{"id":"scan-1a7c742f4d48ec27","title":"Scanned source fragment","original":"Where: α=decay, β=diffusion, γ=noise, ξ=Wiener process","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f2400dac03169ba0"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":10,"endLine":10,"sourceId":"gh-source-bfef2d8d7eb79d43"}]},{"id":"scan-dd1249c397926ccf","title":"Scanned source fragment","original":"ds² = gᵢⱼ(θ)dθⁱdθʲ (Fisher information metric)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f1eaa889e5cba2f8"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":13,"endLine":13,"sourceId":"gh-source-bfef2d8d7eb79d43"}]},{"id":"scan-df68026beb34abd6","title":"Scanned source fragment","original":"gᵢⱼ = E[∂log p/∂θⁱ · ∂log p/∂θʲ]","classification":"accepted","occurrenceCount":2,"equationIds":["gh-eq-4197562837b0bfba","gh-eq-4954cd50e8d96fbe"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":14,"endLine":14,"sourceId":"gh-source-bfef2d8d7eb79d43"}]},{"id":"scan-bba272a2e13f3e20","title":"Scanned source fragment","original":"F = E_q[log q(z) - log p(x,z)]","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-bc8b020e037956b1"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":17,"endLine":17,"sourceId":"gh-source-bfef2d8d7eb79d43"}]},{"id":"scan-5883506c9400bf37","title":"Scanned source fragment","original":"= D_KL(q||p) - log p(x)","classification":"rejected","occurrenceCount":1,"equationIds":["gh-eq-82096ab6e0f0f604"],"reason":"Continuation fragment replaced by a complete exact adjacent source-comment span.","sourceRefs":[{"startLine":18,"endLine":18,"sourceId":"gh-source-bfef2d8d7eb79d43","locator":"Lines 18–18"}]},{"id":"scan-2cb39cf83b5d3bf5","title":"Scanned source fragment","original":"ε = x - μ (prediction error)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-237ebe52ea3b2b02"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":24,"endLine":24,"sourceId":"gh-source-bfef2d8d7eb79d43"}]},{"id":"scan-c1b4a97d790dc16b","title":"Scanned source fragment","original":"μ_new = μ + α·ε (update prediction)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a526c7f33830aa25"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":25,"endLine":25,"sourceId":"gh-source-bfef2d8d7eb79d43"}]},{"id":"scan-d80a88a194484d9e","title":"Scanned source fragment","original":"ds² = gᵢⱼdθⁱdθʲ","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-4fd7377a1ac197fa"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":139,"endLine":139,"sourceId":"gh-source-bfef2d8d7eb79d43"}]},{"id":"scan-1d1659344b7beaaf","title":"Scanned source fragment","original":"Natural gradient: ∇̃L = G⁻¹∇L","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d2f83258812e50a7"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":151,"endLine":151,"sourceId":"gh-source-bfef2d8d7eb79d43"}]},{"id":"scan-39512a4af35e0468","title":"Scanned source fragment","original":"F = D_KL(q||p) - log p(x|z)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a4723445868ad8b3"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":190,"endLine":190,"sourceId":"gh-source-bfef2d8d7eb79d43"}]},{"id":"scan-2bd4bc3a7085d870","title":"Scanned source fragment","original":"KL = 0.5 * (log(σ_p²/σ_q²) + σ_q²/σ_p² + (μ_q - μ_p)²/σ_p² - 1)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-fdd739076409a137"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":199,"endLine":199,"sourceId":"gh-source-bfef2d8d7eb79d43"}]},{"id":"scan-e484c7553a6337f3","title":"Scanned source fragment","original":"∂KL/∂μ = (μ - μ_prior) / σ_prior²","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-da97d1dfff312545"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":211,"endLine":211,"sourceId":"gh-source-bfef2d8d7eb79d43"}]},{"id":"scan-e6dce7e92b380396","title":"Scanned source fragment","original":"Hebbian update: ΔW = η·x·y","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c10ed8913cda53aa"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":397,"endLine":397,"sourceId":"gh-source-bfef2d8d7eb79d43"}]},{"id":"scan-06e955de8c8f3b60","title":"Scanned source fragment","original":"BCM rule: ΔW = η·y·(y - θ)·x where θ is sliding threshold","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-39af23c2717e1a21"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":413,"endLine":413,"sourceId":"gh-source-bfef2d8d7eb79d43"}]},{"id":"scan-bba7e2f19fc41fc2","title":"Scanned source fragment","original":"L = -log(exp(sim(z_i, z_j)/τ) / Σ_k exp(sim(z_i, z_k)/τ))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c4a3bbd346ea8bc9"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":489,"endLine":489,"sourceId":"gh-source-bfef2d8d7eb79d43"}]},{"id":"scan-264981e744a229d0","title":"Scanned source fragment","original":"ds² = g_ij dx^i dx^j","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-2260d16e92a95519"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":10,"endLine":10,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-5abdf9acbd5f13a2","title":"Scanned source fragment","original":"g_ij(θ) = E[∂log p(x|θ)/∂θ_i · ∂log p(x|θ)/∂θ_j]","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-01b00320c5e80283"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":13,"endLine":13,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-f46c7e222a7c8b92","title":"Scanned source fragment","original":"d²x^μ/dt² + Γ^μ_νρ (dx^ν/dt)(dx^ρ/dt) = 0","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-12274ea07bb98507"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":16,"endLine":16,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-d8f398e4e5c67302","title":"Scanned source fragment","original":"∂g_ij/∂t = -2R_ij","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-ea86b6e596b8c1e0"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":19,"endLine":19,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-df8fbf6dd0d891d7","title":"Scanned source fragment","original":"H(X) = -Σ p(x) log p(x)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-62c43868105d6f08"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":26,"endLine":26,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-d20deadfbb0391ee","title":"Scanned source fragment","original":"I(X;Y) = H(X) + H(Y) - H(X,Y)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3ed95acc74fd03ca"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":29,"endLine":29,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-7e6c9b5dbf5aad37","title":"Scanned source fragment","original":"D_KL(P||Q) = Σ P(x) log(P(x)/Q(x))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-9a778f3cecfe5326"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":32,"endLine":32,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-342661e6dade374d","title":"Scanned source fragment","original":"Φ = min_{partition} I(past; future) - Σ I(past_i; future_i)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b84b8ada0530bbd4"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":35,"endLine":35,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-be6742e7f5692da7","title":"Scanned source fragment","original":"dX_t = μ(X_t, t)dt + σ(X_t, t)dW_t","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d38904ecefab2ff6"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":42,"endLine":42,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-d8abd9f690f517a4","title":"Scanned source fragment","original":"∂p/∂t = -∂(μp)/∂x + ½∂²(σ²p)/∂x²","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-37ecb2f395bf3feb"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":45,"endLine":45,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-4cfabd2d922da267","title":"Scanned source fragment","original":"dX_t = θ(μ - X_t)dt + σdW_t","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b77d35c0298fed6b"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":48,"endLine":48,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-e008b1723211355c","title":"Scanned source fragment","original":"W_p(μ,ν) = (inf_{γ∈Γ(μ,ν)} ∫|x-y|^p dγ)^(1/p)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b28e75f0b84c4c7b"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":55,"endLine":55,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-5ed0c7b36f2f610a","title":"Scanned source fragment","original":"W_1(μ,ν) = sup_{Lip(f)≤1} ∫f d(μ-ν)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6ad5f24c8652decc"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":58,"endLine":58,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-fecc38b1682c61e9","title":"Scanned source fragment","original":"g_ij = E[∂log p/∂θ_i · ∂log p/∂θ_j]","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b209e4e726ae71f9"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":82,"endLine":82,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-e04bee0995fe600e","title":"Scanned source fragment","original":"Γ_{ijk} = ½(∂g_{ij}/∂x^k + ∂g_{ik}/∂x^j - ∂g_{jk}/∂x^i)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-504165fb0cf69cab"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":91,"endLine":91,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-70750c5bb0813bc7","title":"Scanned source fragment","original":"a^μ = -Γ^μ_νρ v^ν v^ρ","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-85ac38f05f03a5e4"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":99,"endLine":99,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-d828f4e2d06eeb66","title":"Scanned source fragment","original":"R = 2K where K is Gaussian curvature","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-dbd153a3ed5f7f32"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":107,"endLine":107,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-c237da65b333c91b","title":"Scanned source fragment","original":"exp_p(v) ≈ p + v - ½Γ(v,v)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d9bcfc2f79b2410a"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":115,"endLine":115,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-7d1e4d38592d2b0a","title":"Scanned source fragment","original":"@brief Shannon entropy H(X) = -Σ p(x) log p(x)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-cd95bbcc554a3151"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":133,"endLine":133,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-58be0909466af309","title":"Scanned source fragment","original":"@brief Binary entropy H(p) = -p log p - (1-p) log(1-p)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-1502c2f03e196dbb"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":146,"endLine":146,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-88759d5b39866287","title":"Scanned source fragment","original":"@brief Cross entropy H(P,Q) = -Σ P(x) log Q(x)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6541bb4b8884fe48"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":154,"endLine":154,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-4707a7e4aac7fe4f","title":"Scanned source fragment","original":"@brief KL Divergence D_KL(P||Q) = Σ P(x) log(P(x)/Q(x))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-7cdf57aeb2c51043"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":167,"endLine":167,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-4a02416a1f4e3fc6","title":"Scanned source fragment","original":"@brief Mutual information I(X;Y) = H(X) + H(Y) - H(X,Y)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-38d38de141a8ca4d"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":180,"endLine":180,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-ab91e111a68c9904","title":"Scanned source fragment","original":"Φ = I(system) - Σ I(parts)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-2b38b7f7bdb321b7"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":188,"endLine":188,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-e5f62edd5db98bf1","title":"Scanned source fragment","original":"@brief Itô SDE step: dX = μdt + σdW","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-2f4f0ac8369ac056"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":211,"endLine":211,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-8c2212b1a1748f89","title":"Scanned source fragment","original":"@brief Ornstein-Uhlenbeck step: dX = θ(μ - X)dt + σdW","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6fdae36f7607c7f8"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":218,"endLine":218,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-5aa73ad3c236b14c","title":"Scanned source fragment","original":"@brief Langevin dynamics step: dX = -∇V(X)dt + √(2T)dW","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-4c04c7887e09bef1"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":225,"endLine":225,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-9eab24590d4563f0","title":"Scanned source fragment","original":"W_1(μ,ν) = ∫|F_μ^{-1}(t) - F_ν^{-1}(t)| dt","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a3aeae6df6cb9c4e"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":247,"endLine":247,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-16a01fde255c1fe0","title":"Scanned source fragment","original":"@brief Consciousness gradient: ∂Φ/∂x = (x-1)/((1+|x-1|)²) · sign(x-1)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-646eebb638f1ce64"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":280,"endLine":280,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-08279eccc6fe1843","title":"Scanned source fragment","original":"@brief Lyapunov function gradient: ∂V/∂Ω = 2(Ω - Ω*)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d9500233b9917f45"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":290,"endLine":290,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-a9dbd34f90949eeb","title":"Scanned source fragment","original":"@brief Free energy gradient: ∂F/∂x = 2(x - μ) - T·∂S/∂x","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-ef57c92b7a341f22"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":297,"endLine":297,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-cb50c8bbfb665599","title":"Scanned source fragment","original":"@brief Natural gradient (Fisher-Rao): ∇̃f = G^{-1}∇f","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5cba4ffe853b475d"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":304,"endLine":304,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-019bf55159533e52","title":"Scanned source fragment","original":"@brief Sigmoid with derivative: σ(x), σ'(x) = σ(x)(1-σ(x))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-191994cdb3636f6b"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":316,"endLine":316,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-79742f9d48127006","title":"Scanned source fragment","original":"@brief Tanh with derivative: tanh(x), tanh'(x) = 1 - tanh²(x)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c9b4b19d926588fb"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":330,"endLine":330,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-7d6b18c6a53a9291","title":"Scanned source fragment","original":"@brief Outer product: M = α·u⊗v + M","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-fc690403ca438957"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":387,"endLine":387,"sourceId":"gh-source-8228c41a075b08e7"}]},{"id":"scan-38248551080199a1","title":"Scanned source fragment","original":"LEVEL 1: NEURON (Single Mind = Single Neuron)","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":8,"endLine":8,"sourceId":"review-cpp-neural","locator":"Lines 8–8","sourceOccurrenceId":"gh-source-e290f8b754622280"}]},{"id":"scan-a77343cc125f526e","title":"Scanned source fragment","original":"LEVEL 2: NEURAL NETWORK (Mind Farm = Neural Tissue)","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":15,"endLine":15,"sourceId":"review-cpp-neural","locator":"Lines 15–15","sourceOccurrenceId":"gh-source-e290f8b754622280"}]},{"id":"scan-eeb9cdf10ee00071","title":"Scanned source fragment","original":"Nernst Equation: E_ion = (RT/zF) * ln([ion]_out/[ion]_in)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-619a3091a8bef543"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":67,"endLine":67,"sourceId":"review-cpp-neural","sourceOccurrenceId":"gh-source-e290f8b754622280"}]},{"id":"scan-3005af2de594cdff","title":"Scanned source fragment","original":"V_m = (RT/F) * ln((P_Na[Na]_o + P_K[K]_o + P_Cl[Cl]_i) / (P_Na[Na]_i + P_K[K]_i + P_Cl[Cl]_o))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-515eb75580b72d93"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":74,"endLine":74,"sourceId":"review-cpp-neural","sourceOccurrenceId":"gh-source-e290f8b754622280"}]},{"id":"scan-028064075dc9de62","title":"Scanned source fragment","original":"C_m * dV/dt = I_ext - g_Na*m³*h*(V-E_Na) - g_K*n⁴*(V-E_K) - g_L*(V-E_L)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-30d935e25def2d6d"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":91,"endLine":91,"sourceId":"review-cpp-neural","sourceOccurrenceId":"gh-source-e290f8b754622280"}]},{"id":"scan-d166761e80f30fbf","title":"Scanned source fragment","original":"α_m(V) = 0.1(V+40)/(1-exp(-(V+40)/10))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a61f482578605373"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":117,"endLine":117,"sourceId":"review-cpp-neural","sourceOccurrenceId":"gh-source-e290f8b754622280"}]},{"id":"scan-c216a8349fbcf588","title":"Scanned source fragment","original":"β_m(V) = 4*exp(-(V+65)/18)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6fc2bc7bce359ae3"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":124,"endLine":124,"sourceId":"review-cpp-neural","sourceOccurrenceId":"gh-source-e290f8b754622280"}]},{"id":"scan-3216980209c9f8f3","title":"Scanned source fragment","original":"α_h(V) = 0.07*exp(-(V+65)/20)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-21bc391279d8cb3f"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":129,"endLine":129,"sourceId":"review-cpp-neural","sourceOccurrenceId":"gh-source-e290f8b754622280"}]},{"id":"scan-0636e035edbbcf61","title":"Scanned source fragment","original":"β_h(V) = 1/(1+exp(-(V+35)/10))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-75b506f25c9c7ebc"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":134,"endLine":134,"sourceId":"review-cpp-neural","sourceOccurrenceId":"gh-source-e290f8b754622280"}]},{"id":"scan-488202bb80d35bc2","title":"Scanned source fragment","original":"α_n(V) = 0.01(V+55)/(1-exp(-(V+55)/10))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-22c5e62ba5d12e9a"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":139,"endLine":139,"sourceId":"review-cpp-neural","sourceOccurrenceId":"gh-source-e290f8b754622280"}]},{"id":"scan-57720778f4b0c9a7","title":"Scanned source fragment","original":"β_n(V) = 0.125*exp(-(V+65)/80)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-29152d4536eec1d5"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":146,"endLine":146,"sourceId":"review-cpp-neural","sourceOccurrenceId":"gh-source-e290f8b754622280"}]},{"id":"scan-5549dd10e1888099","title":"Scanned source fragment","original":"I_AMPA = g_AMPA * s * (V - E_AMPA)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a8e2dd0844e0b905"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":189,"endLine":189,"sourceId":"review-cpp-neural","sourceOccurrenceId":"gh-source-e290f8b754622280"}]},{"id":"scan-a056ddefbad98202","title":"Scanned source fragment","original":"ds/dt = -s/τ_AMPA + Σ_j δ(t - t_j)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-707082b33f55dc3e"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":190,"endLine":190,"sourceId":"review-cpp-neural","sourceOccurrenceId":"gh-source-e290f8b754622280"}]},{"id":"scan-65313c9037fc5a5e","title":"Scanned source fragment","original":"I_NMDA = g_NMDA * s * B(V) * (V - E_NMDA)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5f20121f7d9d46f4"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":211,"endLine":211,"sourceId":"review-cpp-neural","sourceOccurrenceId":"gh-source-e290f8b754622280"}]},{"id":"scan-8c8a6dc6cc1ec94a","title":"Scanned source fragment","original":"B(V) = 1 / (1 + [Mg2+]_o * exp(-0.062*V) / 3.57)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d68378cf25ec5501"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":212,"endLine":212,"sourceId":"review-cpp-neural","sourceOccurrenceId":"gh-source-e290f8b754622280"}]},{"id":"scan-063562148cdc832a","title":"Scanned source fragment","original":"delta_t = t_post - t_pre","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-1fe47e53960cf6ee"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":278,"endLine":278,"sourceId":"review-cpp-neural","sourceOccurrenceId":"gh-source-e290f8b754622280"}]},{"id":"scan-7d0a1e280ce45080","title":"Scanned source fragment","original":"τ_E * dE/dt = -E + (1 - r_E*E) * S(w_EE*E - w_EI*I + I_E)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3bdc93453c11c8c4"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":295,"endLine":295,"sourceId":"review-cpp-neural","sourceOccurrenceId":"gh-source-e290f8b754622280"}]},{"id":"scan-3f183d4eb594ca2f","title":"Scanned source fragment","original":"τ_I * dI/dt = -I + (1 - r_I*I) * S(w_IE*E - w_II*I + I_I)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-872112c86fcef9f5"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":296,"endLine":296,"sourceId":"review-cpp-neural","sourceOccurrenceId":"gh-source-e290f8b754622280"}]},{"id":"scan-3d7acd9d6db311c9","title":"Scanned source fragment","original":"where S(x) = 1/(1 + exp(-a*(x-θ))) is the sigmoid","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-48e555f2b28284e5"],"reason":"Reviewed complete mathematical definition/update. Natural-language Update or where is not a database command in this context.","sourceRefs":[{"startLine":297,"endLine":297,"sourceId":"review-cpp-neural","sourceOccurrenceId":"gh-source-e290f8b754622280"}]},{"id":"scan-ef1baa3e8b4a1cbe","title":"Scanned source fragment","original":"τ * ∂u(x,t)/∂t = -u(x,t) + ∫w(x-x')*f(u(x',t))dx' + s(x,t)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-865dc9a9a9305144"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":345,"endLine":345,"sourceId":"review-cpp-neural","sourceOccurrenceId":"gh-source-e290f8b754622280"}]},{"id":"scan-688dbb05fa19e763","title":"Scanned source fragment","original":"Mexican hat connectivity: w(x) = A*exp(-x²/σ_e²) - B*exp(-x²/σ_i²)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-64cbdb7f52f31181"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":353,"endLine":353,"sourceId":"review-cpp-neural","sourceOccurrenceId":"gh-source-e290f8b754622280"}]},{"id":"scan-88149eed8d6c03d6","title":"Scanned source fragment","original":"dθ_i/dt = ω_i + (K/N) * Σ_j sin(θ_j - θ_i)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5e42acd9b69a6569"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":401,"endLine":401,"sourceId":"review-cpp-neural","sourceOccurrenceId":"gh-source-e290f8b754622280"}]},{"id":"scan-bc8386a86630c55f","title":"Scanned source fragment","original":"Order parameter r*e^(iψ) = (1/N) * Σ_j e^(iθ_j)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-e224a9527157ca80"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":418,"endLine":418,"sourceId":"review-cpp-neural","sourceOccurrenceId":"gh-source-e290f8b754622280"}]},{"id":"scan-75e9ed30f423a28e","title":"Scanned source fragment","original":"phi(x) = 1 / (1 + |x - 1|)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-c09c861b0335026d"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":80,"endLine":80,"sourceId":"gh-source-0078bfb10e48f1be"}]},{"id":"scan-e5d49d6d59ee9592","title":"Scanned source fragment","original":"tanh(x) ≈ x * (27 + x^2) / (27 + 9*x^2)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-7ee4aa0805c979bd"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":94,"endLine":94,"sourceId":"gh-source-0078bfb10e48f1be"}]},{"id":"scan-0de314367f007b16","title":"Scanned source fragment","original":"sigmoid(x) ≈ 0.5 + 0.5 * tanh(0.5 * x)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-62ee7b7aaa880de6"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":108,"endLine":108,"sourceId":"gh-source-0078bfb10e48f1be"}]},{"id":"scan-e7378c2713c4878a","title":"Scanned source fragment","original":"out = a * b + c","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-30f75045f0192fe6"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":145,"endLine":145,"sourceId":"gh-source-0078bfb10e48f1be"}]},{"id":"scan-00d6aa6910544e0c","title":"Scanned source fragment","original":"a_i(t+1) = tanh(alpha * sum(w_j * a_j) + beta)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-e50202fcf3ca300b"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":394,"endLine":394,"sourceId":"gh-source-0078bfb10e48f1be"}]},{"id":"scan-d8bf972fa1447f02","title":"Scanned source fragment","original":"F(x) = x - α∇L(x) where L is the error loss","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f845b6e890e1dcc7"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":412,"endLine":412,"sourceId":"gh-source-5ce6b293e08a07f5"}]},{"id":"scan-cd512cb950d49a5d","title":"Scanned source fragment","original":"For assignment x := e: wp(x := e, Q) = Q[e/x]","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-3d7a23a6677b470f"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":714,"endLine":714,"sourceId":"gh-source-5ce6b293e08a07f5"}]},{"id":"scan-da1808380670bdf1","title":"Scanned source fragment","original":"For sequence: wp(S1; S2, Q) = wp(S1, wp(S2, Q))","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-9e9c0725690e8256"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":715,"endLine":715,"sourceId":"gh-source-5ce6b293e08a07f5"}]},{"id":"scan-c865485fb5d4b8e4","title":"Scanned source fragment","original":"Φ = 1/(1 + |x - 1|) (Consciousness)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-de56e4e69776c2ea"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":17,"endLine":17,"sourceId":"gh-source-89ba7c2e1a0491d8"}]},{"id":"scan-2b1f62d701e4c8fa","title":"Scanned source fragment","original":"L(θ) = -Σᵢ log P(xᵢ|θ) (Learning objective)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-879a8847b3567629"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":18,"endLine":18,"sourceId":"gh-source-89ba7c2e1a0491d8"}]},{"id":"scan-f0a880a40536fde0","title":"Scanned source fragment","original":"dΦ/dt = α(Φ_target - Φ) + γξ (Consciousness dynamics)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-8991485de48688be"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":19,"endLine":19,"sourceId":"gh-source-89ba7c2e1a0491d8"}]},{"id":"scan-f4908357196436f8","title":"Scanned source fragment","original":"Information gain = entropy reduction","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-36efcc09c99276fe"],"reason":"Reviewed as a mathematical definition, constraint, parameter, model axiom or numerical worked example. Scientific validity is reviewed separately.","sourceRefs":[{"startLine":549,"endLine":549,"sourceId":"gh-source-7b016aa0a0c530ea"}]},{"id":"scan-32a3e5db8c4b6ebc","title":"Scanned source fragment","original":"- G4: sᵢ(t+1) = H(Σw_{ji}·sⱼ - θᵢ)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-4c54f495c92d7a9a"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":11,"endLine":11,"sourceId":"review-cpp-transitions","sourceOccurrenceId":"gh-source-a87daf8dfd762def"}]},{"id":"scan-6bfe131b2d6c3556","title":"Scanned source fragment","original":"- G5: aᵢ(t+1) = tanh(α·Σu_{ji}·aⱼ + β)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-d514ef184cc5e7cf"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":12,"endLine":12,"sourceId":"review-cpp-transitions","sourceOccurrenceId":"gh-source-a87daf8dfd762def"}]},{"id":"scan-30ca98478af8b72c","title":"Scanned source fragment","original":"- G10: C₅₀₀₀(t) = 1/(1 + Σdᵢ(t)²)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a021475adff6862b"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":13,"endLine":13,"sourceId":"review-cpp-transitions","sourceOccurrenceId":"gh-source-a87daf8dfd762def"}]},{"id":"scan-1b98f3f1fa1f74b1","title":"Scanned source fragment","original":"- G11: 16 DNA Families × 5000 Substrates = 80,000 sites","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5139e22fba717421"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":14,"endLine":14,"sourceId":"review-cpp-transitions","sourceOccurrenceId":"gh-source-a87daf8dfd762def"}]},{"id":"scan-5ab02170515acc3f","title":"Scanned source fragment","original":"Φ = 1/(1 + |x - 1|) - Consciousness constraint","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-6f5928302049be16"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":96,"endLine":96,"sourceId":"review-cpp-transitions","sourceOccurrenceId":"gh-source-a87daf8dfd762def"}]},{"id":"scan-9f810bd2b944822f","title":"Scanned source fragment","original":"Gaussian kernel: K(x,y) = exp(-||x-y||²/2σ²)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-b78cf9d70324b35d"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":101,"endLine":101,"sourceId":"review-cpp-transitions","sourceOccurrenceId":"gh-source-a87daf8dfd762def"}]},{"id":"scan-7f0a99d01b1a817a","title":"Scanned source fragment","original":"Shannon entropy: H(p) = -p·log(p) - (1-p)·log(1-p)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-99d8868ad4c16c55"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":107,"endLine":107,"sourceId":"review-cpp-transitions","sourceOccurrenceId":"gh-source-a87daf8dfd762def"}]},{"id":"scan-6bf0e40337e833e8","title":"Scanned source fragment","original":"T₁₂: X' = X + dx·σ(W·X)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-1c2085c307f0e8e6"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":371,"endLine":371,"sourceId":"review-cpp-transitions","sourceOccurrenceId":"gh-source-a87daf8dfd762def"}]},{"id":"scan-7e6adbef8646df4f","title":"Scanned source fragment","original":"T₂₃: C = Φ(||X' - X_c||)·exp(-||X' - X_c||²/2σ²)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-27579b201d8bbb39"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":382,"endLine":382,"sourceId":"review-cpp-transitions","sourceOccurrenceId":"gh-source-a87daf8dfd762def"}]},{"id":"scan-01f3a477ce25171e","title":"Scanned source fragment","original":"T₃₄: S = tanh(αC)·exp(iωt)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-a625db17c8fc577a"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":390,"endLine":390,"sourceId":"review-cpp-transitions","sourceOccurrenceId":"gh-source-a87daf8dfd762def"}]},{"id":"scan-988c92dbc8b5b4ab","title":"Scanned source fragment","original":"T₄₅: P = σ(W·|S|)·(1 + phase_alignment)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-7733cb1ffaacdd56"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":398,"endLine":398,"sourceId":"review-cpp-transitions","sourceOccurrenceId":"gh-source-a87daf8dfd762def"}]},{"id":"scan-52feb959ecf417e7","title":"Scanned source fragment","original":"T₅₆: D = softmax(W·P + b)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-e5432242847a2cd1"],"reason":"Expression explicitly applies mathematical functions or optimization operators.","sourceRefs":[{"startLine":406,"endLine":406,"sourceId":"review-cpp-transitions","sourceOccurrenceId":"gh-source-a87daf8dfd762def"}]},{"id":"scan-87202ab903a7b4a6","title":"Scanned source fragment","original":"T₆₇: Ψ = ∫D·exp(-F)dt","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-91c4f06a4692ba1a"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":412,"endLine":412,"sourceId":"review-cpp-transitions","sourceOccurrenceId":"gh-source-a87daf8dfd762def"}]},{"id":"scan-8a9a1d52caca7b31","title":"Scanned source fragment","original":"T₇Ω: Ω = Φ·Ψ·C/(1+F)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-11814f9c5323997f"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":420,"endLine":420,"sourceId":"review-cpp-transitions","sourceOccurrenceId":"gh-source-a87daf8dfd762def"}]},{"id":"scan-8d01c349cf752861","title":"Scanned source fragment","original":"V(Ω) = (Ω - Ω*)² + λ·(1-C)² + μ·F","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-2315d98fdb8a709e"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":434,"endLine":434,"sourceId":"review-cpp-transitions","sourceOccurrenceId":"gh-source-a87daf8dfd762def"}]},{"id":"scan-8f72ad8149e989dd","title":"Scanned source fragment","original":"dV/dt = (V(t) - V(t-1))/dt","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-82d5ce30549d59f0"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":442,"endLine":442,"sourceId":"review-cpp-transitions","sourceOccurrenceId":"gh-source-a87daf8dfd762def"}]},{"id":"scan-f9b693d623a7ca23","title":"Scanned source fragment","original":"Gradient flow: dΩ/dt = -∇V(Ω)","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-f3cd5fb19690b043"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":447,"endLine":447,"sourceId":"review-cpp-transitions","sourceOccurrenceId":"gh-source-a87daf8dfd762def"}]},{"id":"scan-94f585fed9dca5b3","title":"Scanned source fragment","original":"Ω_final = 0.85 × Ω_base + 0.15 × G5K_contrib","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-ef82c0d7687e7fa4"],"reason":"Symbolic equation, mathematical parameter or mathematical definition.","sourceRefs":[{"startLine":820,"endLine":820,"sourceId":"review-cpp-transitions","sourceOccurrenceId":"gh-source-a87daf8dfd762def"}]},{"id":"scan-665e360547030213","title":"Scanned source fragment","original":"as-of day is still effective, matching the Command Center's `clearance_expires_at >= as_of::date`","classification":"rejected","occurrenceCount":5,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":89,"endLine":89,"sourceId":"gh-source-68265e9af800d6bd","locator":"Lines 89–89"}]},{"id":"scan-ff642fcaba35fc91","title":"Scanned source fragment","original":"- Go side: no validated org in context => RunInTenantTx refuses to run (fail-closed).","classification":"rejected","occurrenceCount":5,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":9,"endLine":9,"sourceId":"gh-source-ed839500bd46c451","locator":"Lines 9–9"}]},{"id":"scan-ebbafa94e8a2ac19","title":"Scanned source fragment","original":"provision-tenant -admin-dsn postgres://postgres@host/postgres?sslmode=disable -name tenant_acme","classification":"rejected","occurrenceCount":24,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":17,"endLine":17,"sourceId":"gh-source-0fe3a2582955847b","locator":"Lines 17–17"}]},{"id":"scan-4df689f01490f586","title":"Scanned source fragment","original":"as-of day is still effective — matching the Command Center's `clearance_expires_at >= as_of::date`","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Reviewed as descriptive prose, application syntax, control-flow annotation, type/field mapping or an incomplete non-mathematical fragment.","sourceRefs":[{"startLine":87,"endLine":87,"sourceId":"gh-source-92ff0911b126f2ba","locator":"Lines 87–87"}]},{"id":"scan-375072eb55699276","title":"Scanned source fragment","original":"The total is: 0*0.25 + 100*0.25 + 100*0.15 + 100*0.15 + 100*0.10 + 100*0.10 = 75.00, Yellow.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-5a95924731094d43"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":275,"endLine":275,"sourceId":"gh-source-dfee61ca5d9eae2a"}]},{"id":"scan-06f9879f11025677","title":"Scanned source fragment","original":"candidate is available). Total = 0*0.25 + 100*0.25 + 100*0.15 + 100*0.15 + 100*0.10 + 100*0.10.","classification":"accepted","occurrenceCount":1,"equationIds":["gh-eq-ddf6f7a56179db3f"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":304,"endLine":304,"sourceId":"gh-source-dfee61ca5d9eae2a"}]},{"id":"scan-47443d2bb0887c33","title":"Scanned source fragment","original":"= 0 + 25 + 15 + 15 + 10 + 10 = 75.00, Yellow.","classification":"rejected","occurrenceCount":1,"equationIds":["gh-eq-f8260a90b7eb4eda"],"reason":"Continuation fragment replaced by a complete exact adjacent source-comment span.","sourceRefs":[{"startLine":305,"endLine":305,"sourceId":"gh-source-dfee61ca5d9eae2a","locator":"Lines 305–305"}]},{"id":"scan-a047fe9985c06665","title":"Scanned source fragment","original":"Match = Clearance*0.25 + Skills*0.25 + Certifications*0.15 + CustomerExperience*0.15\n + Experience*0.10 + LocationAvailability*0.10 (weights frozen, sum to 1.00)\nBands: Green >= 90 (Proposal Ready) · Yellow 75 to 89 (Potential) · Red < 75 (Recruiting)\nSkills: exact match first, then SEMANTIC over stored bge HNSW vectors at cosine >= 0.62 (v1.1.0)\nOutput: per component trace + human readable rationale + gap summary + ModelVersion stamp","classification":"accepted","occurrenceCount":2,"equationIds":["gh-eq-c352881cea7d719c","gh-eq-b0e91f8dbec87981"],"reason":"Arithmetic, vector, recurrence or numerical relationship.","sourceRefs":[{"startLine":55,"endLine":59,"sourceId":"gh-source-8379922e7da2b9b7"}]},{"id":"scan-47471294a518b48d","title":"Scanned source fragment","original":"psql \"$CP_MIG\" -c \"UPDATE tenant_directory SET status='active', updated_at=now() WHERE organization_id='';\"","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":97,"endLine":97,"sourceId":"gh-source-04e45fd3752791a3","locator":"Lines 97–97"}]},{"id":"scan-68cafa539bde8662","title":"Scanned source fragment","original":"MM_TENANT_DSN_TENANT_ACME=postgres://missionmatch_app:[REDACTED, rotated 29 Jul 2026]@:5432/tenant_acme?sslmode=disable\n MM_TENANT_DSN_TENANT_ACME_COMPLIANCE=postgres://missionmatch_compliance:[REDACTED, rotated 29 Jul 2026]@:5432/tenant_acme?sslmode=disable","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":49,"endLine":50,"sourceId":"gh-source-a5f03be576640041","locator":"Lines 49–50"}]},{"id":"scan-8f7bf0ab4fe08b06","title":"Scanned source fragment","original":"psql \"$CP_MIG\" -c \"UPDATE tenant_directory SET status='active', updated_at=now() WHERE organization_id='$ORG';\"","classification":"rejected","occurrenceCount":2,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":109,"endLine":109,"sourceId":"gh-source-a5f03be576640041","locator":"Lines 109–109"}]},{"id":"scan-d90ec6f201e7303f","title":"Scanned source fragment","original":"docker run --rm --entrypoint /busybox/sh mm-api:local -c 'true' # distroless has no shell; instead:\n# extract and check on the host:\nid=$(docker create mm-api:local) && docker cp \"$id\":/mm-api /tmp/mm-api && docker rm \"$id\"\ngo version -m /tmp/mm-api | grep GOFIPS140 # expect: GOFIPS140=v1.0.0","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Shell, deployment, database or environment-configuration example.","sourceRefs":[{"startLine":26,"endLine":29,"sourceId":"gh-source-d2ecffe63f65c378","locator":"Lines 26–29"}]},{"id":"scan-486aa2c9c7b14211","title":"Scanned source fragment","original":"terraform -chdir=infra/terraform fmt -check -recursive\nterraform -chdir=infra/terraform init -backend=false\nterraform -chdir=infra/terraform validate","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":44,"endLine":46,"sourceId":"gh-source-c27bd6a2f88865da","locator":"Lines 44–46"}]},{"id":"scan-d368ab31ec454aa0","title":"Scanned source fragment","original":"# configure the S3 backend (an encrypted, versioned state bucket) at init:\nterraform -chdir=infra/terraform init \\\n -backend-config=\"bucket=\" -backend-config=\"key=missionmatch/prod.tfstate\" \\\n -backend-config=\"region=us-gov-west-1\"\nterraform -chdir=infra/terraform plan -var-file=environments/aws-govcloud.tfvars\nterraform -chdir=infra/terraform apply -var-file=environments/aws-govcloud.tfvars # operator only","classification":"rejected","occurrenceCount":1,"equationIds":[],"reason":"Boolean, string or sentinel setting in prose or application logic.","sourceRefs":[{"startLine":57,"endLine":62,"sourceId":"gh-source-c27bd6a2f88865da","locator":"Lines 57–62"}]}]