VIII. SUPERCOILING (10.6) · Superhelical density: σ

Read the equation

This relation defines Superhelical density: σ in the source section “VIII. SUPERCOILING (10.6) · Superhelical density: σ”. 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 Superhelical density: σ 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

    }

    // Relaxed linking number: Lk₀ = N/10.6
    static double relaxed_linking_number(int N) {
        return static_cast<double>(N) / BASE_PAIRS_PER_TURN;
    }

    // Superhelical density: σ = (Lk - Lk₀)/Lk₀
    static double superhelical_density(double Lk, double Lk0) {
        return (Lk - Lk0) / Lk0;
    }

    // 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;
    }

Superhelical density: σ = (Lk - Lk₀)/Lk₀

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