Read the equation
The source describes this relation in the following context: y[i] = tanh(Σ_j W[i][j] × x[j] + b[i]) // Forward pass
ΔW[i][j] = η × y[i] × x[j] // Hebbian learning
state[i] = 0.95 × state[i] + 0.05 × (y[i] + core[i]) // State update
energy = 0.99 × energy + 0.01 × |Σ state| // Energy accumulation
5.4 Integration Metrics
φ_local = tanh(energy) // Per-strand [Eq. 485]
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
Read state[i] as the quantity being defined or updated by this relation.
Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.
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
y[i] = tanh(Σ_j W[i][j] × x[j] + b[i]) // Forward pass ΔW[i][j] = η × y[i] × x[j] // Hebbian learning state[i] = 0.95 × state[i] + 0.05 × (y[i] + core[i]) // State update energy = 0.99 × energy + 0.01 × |Σ state| // Energy accumulation 5.4 Integration Metrics φ_local = tanh(energy) // Per-strand [Eq. 485]
Exact original notation
state[i] = 0.95 × state[i] + 0.05 × (y[i] + core[i]) // State update
Sources & provenance
state[i] = 0.95 × state[i] + 0.05 × (y[i] + core[i]) // State update