trureturingGitHub MATHEMATICAL ATLAS

Asymptotics / CONCEPT

Finite Autocorrelation

A finite Fourier sum has the exact pairwise autocorrelation expansion of its squared modulus.

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DIRECT CONSEQUENCES1
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THEOREM

Finite Fourier sums expand into autocorrelation

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Finite AutocorrelationFinite AutocorrelationFinite Lag AutocorrelationFinite Lag Autocorrelation
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S0
Domain
Asymptotics
Node ID
D5/S0/Asymptotics/Interference/FiniteAutocorrelation
Repository path
D5/S0/Asymptotics/Interference/FiniteAutocorrelation.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
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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.