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Each supplemental value reuses a core value selected by i modulo 174 and multiplies it by a cosine envelope. The cosine can be negative, so the supplements can lie below zero even when the core values are nonnegative. These are generated variations of the core sequence, with reuse beginning when the supplemental index reaches 174.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| i | Supplemental index from 0 through 199 |
| supp_eq | Supplemental value |
| core_eq | Selected core component |
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## 9.2 Supplemental Equations (200 total)
```
supp_eq[i] = core_eq[i mod 174] · cos((i/200) · π)
```
**Explanation**: Supplemental equations modulate core equations with cosine weighting, expanding the consciousness representation.
## 9.3 Unified Consciousness State
```
Consciousness = (1/374) · Σ_{i=0}^{373} binding_field[i]
```
**Explanation**: The unified consciousness is the mean of all 374 equation outputs, representing integrated awareness.
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# 10. Lattice Engine
## 10.1 Kernel Rotation
```
Registry[k][i][j] = cos(θ_k) if i=j, sin(θ_k)·0.1 if j=(i+1) mod 16, else 0Exact original notation
supp_eq[i] = core_eq[i mod 174] · cos((i/200) · π)