Entropy / CONCEPT
Nonnegativity of Finite Entropy
Finite Shannon and conditional entropy are nonnegative in nats, completing the finite Shannon-entropy bracket.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES5
PROOF DEPTH4
DOCUMENT LINKS1
Finite Shannon entropy is nonnegative
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Budget and Efficiency Assemblytruth-dependency · Closed
- Deterministic Entropy Steptruth-dependency · Closed
- Entropy and Capacity under Carrier Forgettingtruth-dependency · Closed
- Equality at the Lower Endpoint of Conditional Entropytruth-dependency · Closed
- The Finite Mixture Entropy Brackettruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- Budget and Efficiency Assemblystructural-affinity · Closed
- Conditional Entropy and Its Chain Rulestructural-affinity · Closed
- Conditional Entropy under Completion Factorizationstructural-affinity · Closed
- Conditioning Reduces Entropystructural-affinity · Closed
- Deterministic Entropy Stepstructural-affinity · Closed
- Entropy and Capacity under Carrier Forgettingstructural-affinity · Closed
- Entropy Telescoping along Deterministic Trajectoriesstructural-affinity · Closed
- Equality at the Lower Endpoint of Conditional Entropystructural-affinity · Closed
- Equality Cases for Finite Shannon Entropystructural-affinity · Closed
- Expected Posterior Entropy Reductionstructural-affinity · Closed
- Future-Word Information Chainstructural-affinity · Closed
- The Entropy-Divergence Consistency Identitystructural-affinity · Closed
- The Finite Mixture Entropy Bracketstructural-affinity · Closed
- Weak Finite Fano Inequality in Natsstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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