Read the equation
This relation defines g_ij in the source section “Fisher Information Matrix element · g_ij”. Uses a derivative or gradient to describe a rate of change or a direction of variation. 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
Read g_ij as the quantity being defined or updated by this relation.
Uses a derivative or gradient to describe a rate of change or a direction of variation.
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
// ═══════════════════════════════════════════════════════════════════════════════
// I. DIFFERENTIAL GEOMETRY
// ═══════════════════════════════════════════════════════════════════════════════
/**
* @brief Fisher Information Matrix element
* g_ij = E[∂log p/∂θ_i · ∂log p/∂θ_j]
*/
inline double fisher_metric(double p, double dp_dtheta1, double dp_dtheta2) {
if (p < 1e-10) return 0.0;
return (dp_dtheta1 * dp_dtheta2) / (p * p);
}
/**
* @brief Christoffel symbol of the first kind
* Γ_{ijk} = ½(∂g_{ij}/∂x^k + ∂g_{ik}/∂x^j - ∂g_{jk}/∂x^i)
*/Exact original notation
g_ij = E[∂log p/∂θ_i · ∂log p/∂θ_j]