Read the equation
This relation defines where Φ_i in the source section “VII. GOLDEN BASIS FUNCTIONS · where Φ_i”. 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
Read where Φ_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
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
Read the surrounding source passage
for (int k = 0; k < N; ++k) {
result[k] = psi(k, x);
}
return result;
}
// Global coherence: Φ_total = (1/N) Σ Φ_i
// where Φ_i = 1/(1 + |x_i - 1|)
static double global_coherence(const std::vector<double>& x) {
double sum = 0.0;
for (double xi : x) {
sum += 1.0 / (1.0 + std::abs(xi - 1.0));
}
return sum / x.size();
}
// Ring diffusion: dS_i/dt = λ(S_{i+1} + S_{i-1} - 2S_i)
static void ring_diffusion_step(std::vector<double>& S, double lambda, double dt) {Exact original notation
where Φ_i = 1/(1 + |x_i - 1|)