Read the equation
This relation defines k_f(n,t) in the source section “XII. KINETIC RATE EQUATIONS · k_f(n,t)”. Evaluates oscillatory sine or cosine terms using the stated phase or frequency. 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 k_f(n,t) as the quantity being defined or updated by this relation.
Evaluates oscillatory sine or cosine terms using the stated phase or frequency.
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
// Base breaking rate: k_b^(0)(n) = A_b · exp(-E_a^b(n)/k_B T)
double base_breaking_rate(int n) const {
double Ea = activation_energy_breaking(n);
return A_b_ * std::exp(-Ea / (kB * temperature_));
}
// 10.6-modulated formation rate:
// k_f(n,t) = k_f^(0)(n) · [1 + μ_f·cos(2πn/10.6 + φ(t))]
double formation_rate(int n, double phi_t) const {
double k0 = base_formation_rate(n);
double modulation = 1.0 + mu_f_ * std::cos(2.0 * M_PI * n / BASE_PAIRS_PER_TURN + phi_t);
return k0 * modulation;
}
// 10.6-modulated breaking rate:
// k_b(n,t) = k_b^(0)(n) · [1 - μ_b·cos(2πn/10.6 + φ(t))]
double breaking_rate(int n, double phi_t) const {
double k0 = base_breaking_rate(n);Exact original notation
k_f(n,t) = k_f^(0)(n) · [1 + μ_f·cos(2πn/10.6 + φ(t))]