Entropy / CONCEPT
Equality Cases for Finite Shannon Entropy
The two endpoints of the finite Shannon-entropy bracket in nats characterize the uniform law and point masses.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES10
PROOF DEPTH4
DOCUMENT LINKS1
Maximum entropy characterizes the uniform law
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Binary Character Uniform Information Exactnesstruth-dependency · Closed
- Equality at the Lower Endpoint of Conditional Entropytruth-dependency · Closed
- Equality in the Green-Class Window Entropy Boundtruth-dependency · Closed
- Estimator-Error Lower Bounds from Finite Fano Inequalitiestruth-dependency · Closed
- Information Loss under a Finite Free Group Quotienttruth-dependency · Closed
- Labelled Responses and Completion Geometrytruth-dependency · Closed
- Native ancestry acquisitiontruth-dependency · Closed
- Optimal quantum states depend on the Renyi orderstruth-dependency · Closed
- The entropic Glibichuk–Konyagin conjecturetruth-dependency · Closed
- The Spectral Sharpness Negentropy Budgettruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- Binary Character Uniform Information Exactnessstructural-affinity · Closed
- Equality at the Lower Endpoint of Conditional Entropystructural-affinity · Closed
- Equality in Gibbs' Inequalitystructural-affinity · Closed
- Equality in the Green-Class Window Entropy Boundstructural-affinity · Closed
- Estimator-Error Lower Bounds from Finite Fano Inequalitiesstructural-affinity · Closed
- Information Loss under a Finite Free Group Quotientstructural-affinity · Closed
- Labelled Responses and Completion Geometrystructural-affinity · Closed
- Native ancestry acquisitionstructural-affinity · Closed
- Optimal quantum states depend on the Renyi ordersstructural-affinity · Closed
- Strict Positivity of the Classical Data-Processing Defectstructural-affinity · Closed
- The entropic Glibichuk–Konyagin conjecturestructural-affinity · Closed
- The Entropy-Divergence Consistency Identitystructural-affinity · Closed
- The Spectral Sharpness Negentropy Budgetstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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