Pressure normalization in code

Read the equation

Computes pressure divided by pressure plus a reference scale. For nonnegative pressure and a positive scale, the result is bounded below one.

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 Psi_n as the quantity being defined or updated by this relation.

2. Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.

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

Item item = queue.next_for_family(f);
if (empty) item = borrow_from_neighbor(f);

// 2. Compute continuous activation (replaces binary Fibonacci gate)
float Psi_n = state.families[f].Psi / (state.families[f].Psi + PSI_0);
float chi = sigmoid(ALPHA_KAPPA * item.kappa + ALPHA_PSI * Psi_n - THETA);

// 3. Compute bounded plasticity
float eta = clamp(ETA_BASE + ETA_GAIN * item.kappa, ETA_MIN, ETA_MAX);

// 4. Learning drive
float Gamma = chi * eta * item.kappa;

float Psi_n = state.families[f].Psi / (state.families[f].Psi + PSI_0);

Related builds