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This relation defines Adjacent bond length: L_adj in the source section “III. 44-BOND SYSTEM · Adjacent bond length: L_adj”. Evaluates oscillatory sine or cosine terms using the stated phase or frequency. Takes a square root, requiring a nonnegative real radicand when interpreted over the reals. 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 Adjacent bond length: L_adj as the quantity being defined or updated by this relation.
Evaluates oscillatory sine or cosine terms using the stated phase or frequency.
Takes a square root, requiring a nonnegative real radicand when interpreted over the reals.
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
}
// Vertical rise per bond: Δz_bond = P/44 = 0.0819 nm
static double vertical_rise_per_bond() {
return PITCH / TOTAL_BONDS;
}
// Adjacent bond length: L_adj = √[2r²(1 - cos(2π/10.6)) + h²] = 0.54 nm
static double adjacent_bond_length() {
double cos_term = 1.0 - std::cos(TWIST_ANGLE_RAD);
return std::sqrt(2.0 * HELIX_RADIUS * HELIX_RADIUS * cos_term +
RISE_PER_BP * RISE_PER_BP);
}
// Validation: distance constraint
bool validate_distance(double epsilon_max) const {
double adjustment = BASE_PAIRS_PER_TURN / 10.4; // 10.6/10.4 correction
for (const auto& bond : bonds_) {Exact original notation
Adjacent bond length: L_adj = √[2r²(1 - cos(2π/10.6)) + h²] = 0.54 nm