ThatAIguyA world of ideas

THE CONSCIOUSNESS ATLAS
Read. Experiment. Follow the evidence.

ConsciousnessLearn · Explore · Joseph Anady

IX. 44-BOND ENERGY FUNCTIONS · E_10.6

This relation defines E_10.6 in the source section “IX. 44-BOND ENERGY FUNCTIONS · E_10.6”. 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…

Implementation mathematicsSource recovered; runtime not executed
Learn with the Atlas

Learn to read this model

Start with the symbols, follow the operations, and check what the result means.

Open guided lesson
gh-eq-5c04aafd9a508277source-comment-equation
E10.6=−κperiod⋅cos(2πN/10.6)E_10.6 = -κ_period · cos(2πN/10.6)

Read the equation

This relation defines E_10.6 in the source section “IX. 44-BOND ENERGY FUNCTIONS · E_10.6”. 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

  1. Read E_10.6 as the quantity being defined or updated by this relation.

  2. Evaluates oscillatory sine or cosine terms using the stated phase or frequency.

  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

Read the surrounding source passage
    double cross_helix_energy(double d_ij) const {
        double d6 = std::pow(d_ij, 6);
        double d12 = d6 * d6;
        return -epsilon_cross_ / d6 + sigma_cross_ / d12;
    }

    // 10.6 periodicity energy:
    // E_10.6 = -κ_period · cos(2πN/10.6)
    double periodicity_energy(int N) const {
        return -kappa_period_ * std::cos(2.0 * M_PI * N / BASE_PAIRS_PER_TURN);
    }

    // Total system energy (Section 9.4):
    // E_total = Σ E_intra(n) + Σ E_inter(n) + Σ E_cross(m) + E_10.6
    double total_energy(const BondSystem44& bonds, int N) const {
        double E_total = 0.0;

        // Intra-strand (bonds 1-16)
Exact original notation
E_10.6 = -κ_period · cos(2πN/10.6)

Related builds

Sources & provenance

Search equations, builds, manuscript text, and recovered sources.