trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

All unimodal coefficient orders arise

Exactly the unimodal permutations occur as coefficient orders of products of positive linear factors.

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DIRECT PREREQUISITES2
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THEOREM

Answer to Question 4.6

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Sorting Positive Real-Rooted Product CoefficientsSorting Positive Real-RootedProduct CoefficientsRealizing Unimodal Coefficient PermutationsRealizing Unimodal CoefficientPermutationsAll unimodal coefficient orders ariseAll unimodal coefficient ordersarise
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Lean sourceResearch workspace
Status
Closed
Depth
2
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/RealRootedPermutations/Result
Repository path
D5/S3/Combinatorics/RealRootedPermutations/Result.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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