Cauchy–Riemann equations (Q622741)
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system of linear partial differential equations characterizing holomorphic (complex differentiable) functions
- d'Alembert–Euler conditions
- Cauchy–Riemann conditions
| Language | Label | Description | Also known as |
|---|---|---|---|
| default for all languages | No label defined |
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| English | Cauchy–Riemann equations |
system of linear partial differential equations characterizing holomorphic (complex differentiable) functions |
|
Statements
Cauchy-Riemann.svg
744 × 531; 27 KB
744 × 531; 27 KB
A visual depiction of a vector 𝑋 in a domain being multiplied by a complex number 𝑧, then mapped by 𝑓, versus being mapped by 𝑓 then being multiplied by 𝑧 afterwards. If both of these result in the point ending up in the same place for all 𝑋 and 𝑧, then 𝑓 satisfies the Cauchy–Riemann condition. (English)
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Identifiers
Cauchy-Riemann Equations
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Sitelinks
Wikipedia(33 entries)
- arwiki معادلات كوشي-ريمان
- bgwiki Уравнения на Коши-Риман
- cawiki Equacions de Cauchy-Riemann
- cswiki Cauchyho–Riemannovy podmínky
- cywiki Hafaliadau Cauchy–Riemann
- dewiki Cauchy-Riemannsche partielle Differentialgleichungen
- enwiki Cauchy–Riemann equations
- eowiki Ekvacioj de Cauchy-Riemann
- eswiki Ecuaciones de Cauchy-Riemann
- etwiki Cauchy-Riemanni võrrandid
- fawiki معادلات کوشی-ریمان
- fiwiki Cauchyn–Riemannin yhtälö
- frwiki Équations de Cauchy-Riemann
- hewiki משוואות קושי-רימן
- hiwiki कौशी-रीमान समीकरण
- huwiki Cauchy–Riemann-egyenletek
- itwiki Equazioni di Cauchy-Riemann
- jawiki コーシー・リーマンの方程式
- kawiki კოში-რიმანის განტოლებები
- kowiki 코시-리만 방정식
- ltwiki Koši-Rymano sąlygos
- nlwiki Cauchy-riemann-differentiaalvergelijkingen
- nowiki Cauchy–Riemanns ligninger
- plwiki Równania Cauchy’ego-Riemanna
- pmswiki Fórmole ëd Cauchy-Riemann
- ptwiki Equações de Cauchy–Riemann
- rowiki Ecuațiile Cauchy-Riemann
- ruwiki Условия Коши — Римана
- svwiki Cauchy–Riemanns ekvationer
- trwiki Cauchy-Riemann denklemleri
- ukwiki Умови Коші — Рімана
- uzwiki Koshi (tenglamalar sistemasi)
- zhwiki 柯西-黎曼方程