Entropy / CONCEPT
The Entropy-Divergence Consistency Identity
Divergence from the uniform law equals the finite Shannon entropy deficit in nats.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES3
PROOF DEPTH3
DOCUMENT LINKS1
Divergence from uniform is the entropy deficit
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Binomial and kappa states do not exhaust truncated entropy minimizersstructural-affinity · Closed
- Collision Entropy versus Shannon Entropystructural-affinity · Closed
- Collision-Entropy Uncertaintystructural-affinity · Closed
- Conditional Entropy and Its Chain Rulestructural-affinity · Closed
- Differential Entropy Change of Variablesstructural-affinity · Closed
- Entropystructural-affinity · Closed
- Equality at the Lower Endpoint of Conditional Entropystructural-affinity · Closed
- Equality Cases for Finite Shannon Entropystructural-affinity · Closed
- Equality in Gibbs' Inequalitystructural-affinity · Closed
- Green-Class Window Divergencestructural-affinity · Closed
- Increasing DomiRank entropy on connected nonregular graphsstructural-affinity · Closed
- Maximum Entropy on a Finite Alphabetstructural-affinity · Closed
- PhaseCovariantAttenuatorCoherentRefutationstructural-affinity · Closed
- Schur--Horn Shannon Entropy Monotonicitystructural-affinity · Closed
- Shannon Entropy Is Invariant Under Injective Relabelingstructural-affinity · Closed
- Spectral Readout Entropy Equalitystructural-affinity · Closed
- The Finite Negentropy Budgetstructural-affinity · Closed
- The X-state conditional entropy f_1 need not be weakly unimodalstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance