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THE CONSCIOUSNESS ATLAS
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ConsciousnessLearn · Explore · Joseph Anady

Bounded shared-pool contribution

Scales the difference between pool and local confidence by β_max and clamps the contribution. The source’s clamp argument order is inconsistent with common signatures, so the intended [0,β_max] interval must be specified before implementation.

Consciousness researchdocumented formula
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eq-f675af826a62f4mathematical expression
β=clamp(0,βmax×(κpool−κlocal),βmax)β = clamp(0, β_max × (κ_pool - κ_local), β_max)

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Scales the difference between pool and local confidence by β_max and clamps the contribution. The source’s clamp argument order is inconsistent with common signatures, so the intended [0,β_max] interval must be specified before implementation.

Terms & definitions

The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.

How it works

  1. Read β as the quantity being defined or updated by this relation.

  2. Applies the stated minimum, maximum, or clamp. These bounds are part of the actual operation.

  3. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

Assumptions & limits

Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.

Original context

Read the surrounding source passage
ASSIMILATION BOUND (prevents contamination)

β = clamp(0, β_max × (κ_pool - κ_local), β_max)

• Pool better than local (κ_pool > κ_local): β > 0, assimilate
• Local better than pool (κ_local ≥ κ_pool): β = 0, ignore
• Always bounded by β_max: can't be overwhelmed
Exact original notation
β = clamp(0, β_max × (κ_pool - κ_local), β_max)

Related builds

Sources & provenance

01
Complete_Consciousness_Equation_Notes_RAW.txt
line 6495 · Jul 21, 2026
β = clamp(0, β_max × (κ_pool - κ_local), β_max)
02
Pasted text(3).txt
lines 462–508 · Jul 21, 2026
β = clamp(0, β_max × (κ_pool - κ_local), β_max)

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