trureturingGitHub MATHEMATICAL ATLAS

Analytic / CONCEPT

Normalized Cardinal-Spline Recurrences

One normalized finite positive-part spline representation satisfies knot-safe differentiation, the unit-window recurrence, and the centered reflected recurrence.

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DIRECT CONSEQUENCES2
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THEOREM

Knot-safe differentiation

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Direct recorded relationships
Normalized Cardinal-Spline RecurrencesNormalized Cardinal-SplineRecurrencesStrict Curvature of Normalized Cardinal SplinesStrict Curvature of NormalizedCardinal SplinesProbe Threshold OptimizationProbe Threshold Optimization
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Analytic
Node ID
D5/S3/Analytic/Curvature/CardinalSplineRecurrence
Repository path
D5/S3/Analytic/Curvature/CardinalSplineRecurrence.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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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.