Read the equation
The comment proposes φδₖᵢxⱼ+φδₖⱼxᵢ, and the body multiplies that sum by 0.5. This index-dependent linear expression differs from the actual Levi-Civita connection of the declared metric. The extra factor and the metric mismatch should remain visible rather than treating the function name as verification of differential geometry.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| x | Coordinate vector |
| delta | Kronecker delta |
| phi | Golden ratio |
How it works
Read the definition from its right-hand expression to the quantity on the left. Its surrounding source records the intended input, state, or parameter context. Where the source leaves an operation unspecified, this page preserves that gap.
Assumptions & limits
Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.
Original context
Read the surrounding source passage
gamma := make([][][]float64, n)
for k := range gamma {
gamma[k] = make([][]float64, n)
for i := range gamma[k] {
gamma[k][i] = make([]float64, n)
for j := range gamma[k][i] {
// Simplified: Γ^k_ij ≈ φ · δ_ki · x_j + φ · δ_kj · x_i
val := 0.0
if k == i {
val += PHI * x[j]
}
if k == j {
val += PHI * x[i]
}
gamma[k][i][j] = val * 0.5
}
}Exact original notation
Simplified: Γ^k_ij ≈ φ · δ_ki · x_j + φ · δ_kj · x_i