Analytic / CONCEPT
FiniteMajorization
Finite real-vector convex domination yields a doubly stochastic matrix carrying the larger vector to the smaller one. Prefix sums of increasing vectors give convex domination. The proof constructs the majorization relation and consumes pinned Mathlib Birkhoff theory; it is not a second proof of Birkhoff.
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DIRECT CONSEQUENCES2
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exists_doublyStochastic_mulVec_of_convex_dominates
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RELATED KNOWLEDGE
Structural connections
- CompactConvexOrderstructural-affinity · Closed
- CompactQuantilestructural-affinity · Closed
- CompactStrassenstructural-affinity · Closed
- ConditionalMeanApproximationstructural-affinity · Closed
- ConditionalMeanAtomsstructural-affinity · Closed
- Extended Farkas Alternativestructural-affinity · Closed
- Finite Attainment for Extended Linear Programsstructural-affinity · Closed
- FiniteMartingaleCouplingstructural-affinity · Closed
- General cost probability transportstructural-affinity · Closed
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