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 CONSEQUENCES2
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 ReadingGolden Powers and Fibonacci CoordinatesGolden Powers and FibonacciCoordinatesClosed Forms for the Two Beta ReadingsClosed Forms for the Two BetaReadingsCharged Raw Carry PathsCharged Raw Carry PathsDensity of the Golden Model SetDensity of the Golden Model Set
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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
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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