OAI/Analysis/Crouzeix/Definitions.lean
24 declarations, 0 contain sorry, 0 declared as axioms
Numerical ranges, completed tensor amplification, and holomorphic and rational operator evaluation.
- abbrev
OAI.CrouzeixHilbert.Operatorline 17Also declared: ComparatorChallenges/CrouzeixHilbert.lean:16 (same declaration text).
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OAI.CrouzeixHilbert.Coeffline 19Also declared: ComparatorChallenges/CrouzeixHilbert.lean:17 (same declaration text).
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OAI.CrouzeixHilbert.numericalRangeline 23Also declared: ComparatorChallenges/CrouzeixHilbert.lean:21 (same declaration text).
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OAI.CrouzeixHilbert.numericalClosureline 26Also declared: ComparatorChallenges/CrouzeixHilbert.lean:24 (same declaration text).
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OAI.CrouzeixHilbert.supNormline 28Also declared: ComparatorChallenges/CrouzeixHilbert.lean:26 (same declaration text).
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OAI.CrouzeixHilbert.Amplificationline 31Also declared: ComparatorChallenges/CrouzeixHilbert.lean:29 (same declaration text).
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OAI.CrouzeixHilbert.tensorOperatorline 34Also declared: ComparatorChallenges/CrouzeixHilbert.lean:32 (same declaration text).
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OAI.CrouzeixHilbert.matrixPolynomialline 38Also declared: ComparatorChallenges/CrouzeixHilbert.lean:36 (same declaration text).
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OAI.CrouzeixHilbert.polynomialEvalline 41Also declared: ComparatorChallenges/CrouzeixHilbert.lean:39 (same declaration text).
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OAI.CrouzeixHilbert.SmoothContourline 45Also declared: ComparatorChallenges/CrouzeixHilbert.lean:43 (same declaration text).
- def
OAI.CrouzeixHilbert.SmoothContour.indexline 50Also declared: ComparatorChallenges/CrouzeixHilbert.lean:48 (same declaration text).
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OAI.CrouzeixHilbert.CalculusContourline 54Also declared: ComparatorChallenges/CrouzeixHilbert.lean:52 (same declaration text).
- def
OAI.CrouzeixHilbert.contourEvalline 59Also declared: ComparatorChallenges/CrouzeixHilbert.lean:57 (same declaration text).
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OAI.CrouzeixHilbert.holomorphicEvalline 64Also declared: ComparatorChallenges/CrouzeixHilbert.lean:62 (same declaration text).
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OAI.CrouzeixHilbert.matrixHolomorphicEvalline 70Also declared: ComparatorChallenges/CrouzeixHilbert.lean:68 (same declaration text).
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OAI.CrouzeixHilbert.EntrywiseHolomorphicline 75Also declared: ComparatorChallenges/CrouzeixHilbert.lean:73 (same declaration text).
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OAI.CrouzeixHilbert.RationalMatrixline 78Also declared: ComparatorChallenges/CrouzeixHilbert.lean:76 (same declaration text).
- def
OAI.CrouzeixHilbert.PolesOutsideline 80Also declared: ComparatorChallenges/CrouzeixHilbert.lean:78 (same declaration text).
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OAI.CrouzeixHilbert.matrixRationalFunctionline 83Also declared: ComparatorChallenges/CrouzeixHilbert.lean:81 (same declaration text).
- def
OAI.CrouzeixHilbert.rationalEvalline 86Also declared: ComparatorChallenges/CrouzeixHilbert.lean:84 (same declaration text).
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OAI.CrouzeixHilbert.matrixRationalEvalline 89Also declared: ComparatorChallenges/CrouzeixHilbert.lean:87 (same declaration text).
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OAI.CrouzeixHilbert.NonzeroConclusionline 93Also declared: ComparatorChallenges/CrouzeixHilbert.lean:91 (same declaration text).
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OAI.CrouzeixHilbert.ZeroConclusionline 123Also declared: ComparatorChallenges/CrouzeixHilbert.lean:121 (same declaration text).
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OAI.CrouzeixHilbert.SharpConstantline 139Also declared: ComparatorChallenges/CrouzeixHilbert.lean:137 (same declaration text).