argument principle (Q1370201)

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mathematical relationship

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Language	Label	Description	Also known as
English	argument principle	mathematical relationship

Statements

instance of

theorem

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named after

Augustin-Louis Cauchy

applies to name of subject

Cauchy's argument principle (English)

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defining formula

${\displaystyle N-P={\frac {1}{2\pi \mathrm {i} }}\int _{\mathsf {C}}{\frac {f'(z)}{f(z)}}\,\mathrm {d} z}$

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in defining formula

${\displaystyle f}$

symbol represents

function of a complex variable

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${\displaystyle '}$

symbol represents

derivative

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${\displaystyle \int _{\mathsf {C}}f(z)\,\mathrm {d} z}$

symbol represents

contour integral

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${\displaystyle {\mathsf {C}}}$

symbol represents

simple closed contour

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${\displaystyle N}$

symbol represents

number of zeros

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${\displaystyle P}$

symbol represents

number of poles

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maintained by WikiProject

WikiProject Mathematics

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Identifiers

Digital Library of Mathematical Functions ID

1.10.E9

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Freebase ID

/m/049lv3

1 reference

stated in

Freebase Data Dumps

publication date

28 October 2013

Google Knowledge Graph ID

/g/11hf3ydms9

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MathWorld ID

ArgumentPrinciple

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Microsoft Academic ID

188061615

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ProofWiki ID

Argument_Principle

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Sitelinks

Wikipedia(14 entries)

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• dewiki Prinzip vom Argument
• enwiki Argument principle
• eswiki Principio del argumento
• frwiki Principe de l'argument
• hewiki עקרון הארגומנט
• huwiki Argumentumelv
• itwiki Principio dell'argomento
• jawiki 偏角の原理
• kowiki 편각 원리
• lmowiki Principi dal argümeent
• ruwiki Принцип аргумента
• svwiki Argumentprincipen
• ukwiki Принцип аргументу
• zhwiki 辐角原理

Wikibooks(0 entries)

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Wikinews(0 entries)

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Wikiquote(0 entries)

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Wikisource(0 entries)

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Wikiversity(0 entries)

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Wikivoyage(0 entries)

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Wiktionary(0 entries)

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Multilingual sites(0 entries)

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