Read the equation
This relation defines ΔG_sc in the source section “VIII. SUPERCOILING (10.6) · ΔG_sc”. 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 ΔG_sc 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
// G¹⁶ superhelical density
static double superhelical_density_g16(double Lk, int N) {
double Lk0_g16 = NUM_STRANDS * static_cast<double>(N) / BASE_PAIRS_PER_TURN;
return (Lk - Lk0_g16) / Lk0_g16;
}
// Free energy of supercoiling
// ΔG_sc = K · N · σ² · (10.6/10.4)²
static double free_energy(double K, int N, double sigma) {
constexpr double correction = (BASE_PAIRS_PER_TURN / 10.4) * (BASE_PAIRS_PER_TURN / 10.4);
return K * N * sigma * sigma * correction;
}
// G¹⁶ with 44-bond correction
static double free_energy_g16(double K, int N, double sigma_g16, double lambda) {
constexpr double correction = (BASE_PAIRS_PER_TURN / 10.4) * (BASE_PAIRS_PER_TURN / 10.4);
return K * N * sigma_g16 * sigma_g16 * (1.0 + lambda * TOTAL_BONDS) * correction;
}Exact original notation
ΔG_sc = K · N · σ² · (10.6/10.4)²