trureturingGitHub MATHEMATICAL ATLAS

Entropy / CONCEPT

Equality in the Green-Class Window Entropy Bound

A naming window reaches its entropy bound exactly when every pinned coordinate law is uniform on the full alphabet.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH5
DOCUMENT LINKS1
THEOREM

Maximum window entropy characterizes uniform coordinates

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Equality Cases for Finite Shannon EntropyEquality Cases for FiniteShannon EntropyGreen-Class Window EntropyGreen-Class Window EntropyEquality in the Green-Class Window Entropy BoundEquality in the Green-ClassWindow Entropy Bound
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Certified provenance

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Lean sourceResearch workspace
Status
Closed
Depth
5
Layer
D5/S3
Domain
Entropy
Node ID
D5/S3/Entropy/NamingWindow/GreenClassWindowEntropyEquality
Repository path
D5/S3/Entropy/NamingWindow/GreenClassWindowEntropyEquality.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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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.