trureturingGitHub MATHEMATICAL ATLAS

Constants / CONCEPT

Newton--Hankel Real-Root Criterion

Negative real roots of a positive-coefficient polynomial are equivalent to positivity of its Newton--Hankel matrix.

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DIRECT CONSEQUENCES2
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THEOREM

Positive coefficients give positive evaluation

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Newton--Hankel Real-Root CriterionNewton--Hankel Real-RootCriterionCoefficient Multiplication Trace MomentsCoefficient MultiplicationTrace MomentsThe Kepler-Coulomb coefficient conjectureThe Kepler-Coulomb coefficientconjecture
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Constants
Node ID
D5/S3/Constants/NewtonHankelRealRootCriterion
Repository path
D5/S3/Constants/NewtonHankelRealRootCriterion.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
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.