Read the equation
This page expands core generator index i=143, corresponding to the source’s numbered component 246. The source sets t from the index (i/32), combines sine and cosine carrier terms, then averages that carrier with a product of two modular harmonic terms. This is one member of a repeated deterministic feature family, not a separately derived neuroscience law. Its result becomes entry 143 in the 374-entry binding field.
Its role in the build
This page expands core generator index i=143, corresponding to the source’s numbered component 246.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| i | 143 |
| t | index-derived phase parameter i×0.03125 |
| φ | golden-ratio constant |
| τ | 1/(2π) in the source constants |
| core[i] | generated core feature value |
How it works
Read t as the quantity being defined or updated by this relation.
Evaluates oscillatory sine or cosine terms using the stated phase or frequency.
Uses a remainder or modular operation, retaining the numeric representation used in the source.
Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.
Assumptions & limits
Conditions
Uses the formula in the January 2026 specification.
The formula shown depends on component index and constants; no measured neural data appears in this expression.
The modular residue pair repeats after lcm(13,17)=221 index steps. A no-repetition assertion is not justified by those residues alone.
Original context
Exact original notation
t=143 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((143 mod 13) × 0.27) × cos((143 mod 17) × 0.19); core[143]=0.5 × carrier+0.5 × harmonic
Related builds
Sources & provenance
t=143 × 0.03125; carrier=sin(t × φ)+cos(t × τ); harmonic=sin((143 mod 13) × 0.27) × cos((143 mod 17) × 0.19); core[143]=0.5 × carrier+0.5 × harmonic