trureturingGitHub MATHEMATICAL ATLAS

Diagonal / CONCEPT

Capture Count Second Moment

The finite capture count has its exact variance identity and a Paley-Zygmund lower bound.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH2
DOCUMENT LINKS1
THEOREM

Capture count variance and second-moment lower bound

RELATIONSHIP ATLAS

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Direct recorded relationships
Finite Product Capture LawFinite Product Capture LawCapture Count Second MomentCapture Count Second MomentCapture Count CoherenceCapture Count CoherenceCapture Count MomentsCapture Count Moments
Proof dependencyStructural affinityDocument link

RELATED KNOWLEDGE

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Documents & exposition

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LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
2
Layer
D5/S0
Domain
Diagonal
Node ID
D5/S0/Diagonal/Probability/CaptureSecondMoment
Repository path
D5/S0/Diagonal/Probability/CaptureSecondMoment.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.