trureturingGitHub MATHEMATICAL ATLAS

Deficit / CONCEPT

Closed Forms for the Two Beta Readings

The two beta readings are the Zeckendorf displacement minus a linear golden-slope term.

Closed Authored exposition
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES1
PROOF DEPTH9
DOCUMENT LINKS1
THEOREM

The expanding beta reading has a golden-conjugate closed form

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The Two-Face Length Spread Is sqrt(5) log nThe Two-Face Length Spread Issqrt(5) log nThe Zeckendorf Up-Shift Displacement Decode Is a Golden Beatty ReadingThe Zeckendorf Up-ShiftDisplacement Decode Is a GoldenBeatty ReadingScale: FibonacciScale: FibonacciClosed Forms for the Two Beta ReadingsClosed Forms for the Two BetaReadingsDensity of the Golden Model SetDensity of the Golden Model Set
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
9
Layer
D5/S1
Domain
Deficit
Node ID
D5/S1/Deficit/Beatty/BetaBeattyClosedForms
Repository path
D5/S1/Deficit/Beatty/BetaBeattyClosedForms.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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