trureturingGitHub MATHEMATICAL ATLAS

Entropy / CONCEPT

Pairwise Configurational Entropy

Pairwise smoothing increases the entropy of independent Bernoulli coordinates conditional on their sum.

Closed Authored exposition
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES1
PROOF DEPTH5
DOCUMENT LINKS0
THEOREM

Continuity at the boundary

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Direct recorded relationships
Entropy Direction BoundsEntropy Direction BoundsPoisson-binomial StructurePoisson-binomial StructureCubeRootSpectralMonotonicityCubeRootSpectralMonotonicityPairwise Configurational EntropyPairwise ConfigurationalEntropyMonkman–Sirker Configurational EntropyMonkman–Sirker ConfigurationalEntropy
Proof dependencyStructural affinityDocument link

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None recorded in this release.

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
5
Layer
D5/S3
Domain
Entropy
Node ID
D5/S3/Entropy/PoissonBinomial/ConfigurationalEntropyStep
Repository path
D5/S3/Entropy/PoissonBinomial/ConfigurationalEntropyStep.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

Authority boundary

Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.