ThatAIguyA world of ideas

THE CONSCIOUSNESS ATLAS
Read. Experiment. Follow the evidence.

ConsciousnessLearn · Explore · Joseph Anady

MATHEMATICAL CONSTANTS · - DNA entropy: H_DNA

This relation defines - DNA entropy: H_DNA in the source section “MATHEMATICAL CONSTANTS · - DNA entropy: H_DNA”. Uses logarithmic scaling; its base and the positivity of its argument matter. Its interpretation depends on the source’s stated variables and conditions;…

Implementation mathematicsSource recovered; runtime not executed
Learn with the Atlas

Understand information

Learn to distinguish probabilities, logarithm conventions, and information quantities.

Open guided lesson
gh-eq-d4029cb6779645eesource-comment-equation
−DNAentropy:HDNA=−sumip(bi)∗log2(p(bi))- DNA entropy: H_DNA = -sum_i p(b_i) * log2(p(b_i))

Read the equation

This relation defines - DNA entropy: H_DNA in the source section “MATHEMATICAL CONSTANTS · - DNA entropy: H_DNA”. Uses logarithmic scaling; its base and the positivity of its argument matter. 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 - DNA entropy: H_DNA as the quantity being defined or updated by this relation.

  2. Uses logarithmic scaling; its base and the positivity of its argument matter.

  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
// L2: GENETIC & DNA INFORMATION
//=============================================================================

/**
 * GeneticLayer - DNA-inspired information processing
 *
 * Implements:
 *   - DNA entropy: H_DNA = -sum_i p(b_i) * log2(p(b_i))
 *   - Replication dynamics: dN/dt = k*N*(1-N/K) - mu*N
 *   - Michaelis-Menten kinetics: v = Vmax*[S]/(Km + [S])
 *   - Hill equation: theta = [L]^n / (Kd + [L]^n)
 *   - Mutation probability: P_mut = 1 - exp(-mu*L*t)
 */
template<size_t GENOME_SIZE = 256>
class GeneticLayer {
public:
    // Genome representation (simplified: continuous values 0-1)
    std::array<double, GENOME_SIZE> genome;
Exact original notation
- DNA entropy: H_DNA = -sum_i p(b_i) * log2(p(b_i))

Related builds

Sources & provenance

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