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Argument principle

In complex analysis, the argument principle (or Cauchy's argument principle) is a theorem relating the difference between the number of zeros and poles of a meromorphic function to a contour integral of the function's logarithmic derivative.

History & Applications

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Overview

Formulation

Interpretation of the contour integral

Proof of the argument principle

Applications and consequences

History

Advanced semantic analysis

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Map overview Semantic statistics

Argument principle

Nodes32
Edges31
Triples11
Avg. degree1.94
Density0.0625
Components1

How this topic connects Entity context

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Argument principle

Top relations

has application · 7
Argument principle → As, Even, Numerical, Riemann, Riemann's, Rouché's, The
related to Generalized argument principle · 4
Argument principle → Omega, Then, There, Under

Important terminology Word statistics

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Important terminology

argument poles zeros principle complex theorem contour integral number zp function order residue zero pole zz meromorphic inside simple displaystyle

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Argument principlehas applicationThe0.60section
Argument principlehas applicationEven0.60section
Argument principlehas applicationNumerical0.60section
Argument principlehas applicationRiemann0.60section
Argument principlehas applicationRiemann's0.60section
Argument principlehas applicationRouché's0.60section
Argument principlehas applicationAs0.60section
Argument principlerelated to Generalized argument principleThere0.60section
Argument principlerelated to Generalized argument principleUnder0.60section
Argument principlerelated to Generalized argument principleOmega0.60section
Argument principlerelated to Generalized argument principleThen0.60section

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    Min side: 3
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