trureturingGitHub MATHEMATICAL ATLAS

Asymptotics / CONCEPT

Exact Capture Count Distribution

Every finite capture-count value has an exact alternating-sum product mass.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES2
PROOF DEPTH5
DOCUMENT LINKS1
THEOREM

Exact mass of j captured addresses

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Direct recorded relationships
Finite Capture Inclusion-ExclusionFinite Capture Inclusion-ExclusionFinite Product Set Capture LawFinite Product Set Capture LawExact Capture Count DistributionExact Capture CountDistributionBinomial Moment IdentityBinomial Moment IdentityCapture Count CoherenceCapture Count Coherence
Proof dependencyStructural affinityDocument link

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LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
5
Layer
D5/S0
Domain
Asymptotics
Node ID
D5/S0/Asymptotics/WeightedProbability/ExactCaptureCount
Repository path
D5/S0/Asymptotics/WeightedProbability/ExactCaptureCount.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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.