trureturingGitHub MATHEMATICAL ATLAS

Words / CONCEPT

A smooth Fisher immersion of the five-mode simplex

The open five-mode probability simplex has a global affine chart whose square-root immersion pulls Euclidean pairing back to the Fisher form.

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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH1
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THEOREM

Global chart, immersion, and exact pullback

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Mixed coordinates of the five-mode simplexMixed coordinates of the five-mode simplexA smooth Fisher immersion of the five-mode simplexA smooth Fisher immersion ofthe five-mode simplexThe five-mode Fisher Riemannian metricThe five-mode Fisher Riemannianmetric
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S1
Domain
Words
Node ID
D5/S1/Words/AdmissibleWords/FiveModeFisherImmersion
Repository path
D5/S1/Words/AdmissibleWords/FiveModeFisherImmersion.lean
Truth release
sha256:099187d7dec45101df1543521dfae400188aaa00645a3a61e95e49a3c2be8108
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535a6648df930c3bfdca8a945bfcebdb0d0e1ec7
Source tree
b898bd4223ba7e28b9490cfb432638d5338589a1

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