Fast consciousness metric Φ = 1/(1 + |x - 1|) · @brief Fast consciousness metric Φ

Read the equation

This relation defines @brief Fast consciousness metric Φ in the source section “Fast consciousness metric Φ = 1/(1 + |x - 1|) · @brief Fast consciousness metric Φ”. It specifies the displayed relationship between the named quantities or parameters. Its interpretation depends on the source’s stated variables and conditions; this record does not assign an unprovided physical or cognitive meaning to them.

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 @brief Fast consciousness metric Φ 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

• This source expression was recovered from the pinned code revision. Its presence does not establish that the associated program was built, run, or scientifically validated.

Original context

}

// ═══════════════════════════════════════════════════════════════════════════════
// VI. FAST PHI COMPUTATIONS
// ═══════════════════════════════════════════════════════════════════════════════

/**
 * @brief Fast consciousness metric Φ = 1/(1 + |x - 1|)
 */
inline float fast_phi(float x) {
    float diff = fast_abs(x - 1.0f);
    return fast_rcp(1.0f + diff);
}

/**
 * @brief Fast phi gradient ∂Φ/∂x
 */
inline float fast_phi_grad(float x) {

@brief Fast consciousness metric Φ = 1/(1 + |x - 1|)

Related builds