Read the equation
This relation defines W_p(μ,ν) in the source section “Advanced Mathematical Framework for Gate5000 Consciousness · W_p(μ,ν)”. Integrates contributions over the variable and bounds stated in the expression; the measure and domain must come from this source. 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 W_p(μ,ν) as the quantity being defined or updated by this relation.
Integrates contributions over the variable and bounds stated in the expression; the measure and domain must come from this source.
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
* dX_t = θ(μ - X_t)dt + σdW_t
*
* ═══════════════════════════════════════════════════════════════════════════════
* IV. OPTIMAL TRANSPORT
* ═══════════════════════════════════════════════════════════════════════════════
*
* WASSERSTEIN DISTANCE:
* W_p(μ,ν) = (inf_{γ∈Γ(μ,ν)} ∫|x-y|^p dγ)^(1/p)
*
* KANTOROVICH DUALITY:
* W_1(μ,ν) = sup_{Lip(f)≤1} ∫f d(μ-ν)
*
* ═══════════════════════════════════════════════════════════════════════════════
*/
#pragma once
#include <cmath>Exact original notation
W_p(μ,ν) = (inf_{γ∈Γ(μ,ν)} ∫|x-y|^p dγ)^(1/p)