コーシー・リーマンの方程式

Cauchy–Riemann equations - system of linear partial differential equations characterizing holomorphic (complex differentiable) functions. Article "コーシー・リーマンの方程式" in Japanese Wikipedia has 12 points for quality (as of July 1, 2025). The article contains 7 references and 8 sections.

This article has the best quality in English Wikipedia. Also, this article is the most popular in that language version.

Since the creation of article "コーシー・リーマンの方程式", its content was written by 13 registered users of Japanese Wikipedia and edited by 663 registered Wikipedia users in all languages.

The article is cited 82 times in Japanese Wikipedia and cited 787 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Japanese): #18542 in September 2014
• Global: #1389 in December 2001

The highest popularity rank from 2008:

• Local (Japanese): #98851 in June 2020
• Global: #89198 in January 2015

There are 31 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

#	Language	Quality grade	Quality score
1	English (en) Cauchy–Riemann equations		49.972
2	Ukrainian (uk) Умови Коші — Рімана		44.8439
3	Polish (pl) Równania Cauchy’ego-Riemanna		35.0681
4	German (de) Cauchy-Riemannsche partielle Differentialgleichungen		32.2897
5	Chinese (zh) 柯西-黎曼方程		29.9424
6	Portuguese (pt) Equações de Cauchy–Riemann		28.9628
7	Turkish (tr) Cauchy-Riemann denklemleri		24.0476
8	Norwegian (no) Cauchy–Riemanns ligninger		22.0704
9	Esperanto (eo) Ekvacioj de Cauchy-Riemann		21.4593
10	Catalan (ca) Equacions de Cauchy-Riemann		21.1055

More...

The following table shows the most popular language versions of the article.

The most popular language versions of the article "コーシー・リーマンの方程式" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Cauchy–Riemann equations		1 801 648
2	Russian (ru) Условия Коши — Римана		299 003
3	German (de) Cauchy-Riemannsche partielle Differentialgleichungen		222 679
4	Spanish (es) Ecuaciones de Cauchy-Riemann		209 729
5	Japanese (ja) コーシー・リーマンの方程式		139 221
6	Chinese (zh) 柯西-黎曼方程		132 049
7	French (fr) Équations de Cauchy-Riemann		125 798
8	Italian (it) Equazioni di Cauchy-Riemann		103 157
9	Polish (pl) Równania Cauchy’ego-Riemanna		100 282
10	Persian (fa) معادلات کوشی-ریمان		61 938

More...

The following table shows the language versions of the article with the highest popularity in the last month.

The most popular language versions of the article "コーシー・リーマンの方程式" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Cauchy–Riemann equations		5 682
2	Russian (ru) Условия Коши — Римана		1 038
3	Japanese (ja) コーシー・リーマンの方程式		881
4	German (de) Cauchy-Riemannsche partielle Differentialgleichungen		609
5	Chinese (zh) 柯西-黎曼方程		526
6	French (fr) Équations de Cauchy-Riemann		428
7	Polish (pl) Równania Cauchy’ego-Riemanna		399
8	Spanish (es) Ecuaciones de Cauchy-Riemann		383
9	Persian (fa) معادلات کوشی-ریمان		367
10	Italian (it) Equazioni di Cauchy-Riemann		327

More...

The following table shows the language versions of the article with the highest Authors’ Interest.

Language versions of the article "コーシー・リーマンの方程式" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Cauchy–Riemann equations		152
2	German (de) Cauchy-Riemannsche partielle Differentialgleichungen		61
3	French (fr) Équations de Cauchy-Riemann		51
4	Russian (ru) Условия Коши — Римана		48
5	Italian (it) Equazioni di Cauchy-Riemann		43
6	Hebrew (he) משוואות קושי-רימן		29
7	Polish (pl) Równania Cauchy’ego-Riemanna		23
8	Spanish (es) Ecuaciones de Cauchy-Riemann		22
9	Hungarian (hu) Cauchy–Riemann-egyenletek		22
10	Dutch (nl) Cauchy-riemann-differentiaalvergelijkingen		18

More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

Language versions of the article "コーシー・リーマンの方程式" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Swedish (sv) Cauchy–Riemanns ekvationer		1
2	Arabic (ar) معادلات كوشي-ريمان		0
3	Bulgarian (bg) Уравнения на Коши-Риман		0
4	Catalan (ca) Equacions de Cauchy-Riemann		0
5	Czech (cs) Cauchyho–Riemannovy podmínky		0
6	German (de) Cauchy-Riemannsche partielle Differentialgleichungen		0
7	English (en) Cauchy–Riemann equations		0
8	Esperanto (eo) Ekvacioj de Cauchy-Riemann		0
9	Spanish (es) Ecuaciones de Cauchy-Riemann		0
10	Estonian (et) Cauchy-Riemanni võrrandid		0

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The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "コーシー・リーマンの方程式" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Cauchy–Riemann equations		164
2	Japanese (ja) コーシー・リーマンの方程式		82
3	Polish (pl) Równania Cauchy’ego-Riemanna		59
4	French (fr) Équations de Cauchy-Riemann		58
5	Russian (ru) Условия Коши — Римана		38
6	German (de) Cauchy-Riemannsche partielle Differentialgleichungen		37
7	Hebrew (he) משוואות קושי-רימן		33
8	Turkish (tr) Cauchy-Riemann denklemleri		33
9	Spanish (es) Ecuaciones de Cauchy-Riemann		28
10	Chinese (zh) 柯西-黎曼方程		28

More...

#	Language	Value
ar	Arabic معادلات كوشي-ريمان
bg	Bulgarian Уравнения на Коши-Риман
ca	Catalan Equacions de Cauchy-Riemann
cs	Czech Cauchyho–Riemannovy podmínky
de	German Cauchy-Riemannsche partielle Differentialgleichungen
en	English Cauchy–Riemann equations
eo	Esperanto Ekvacioj de Cauchy-Riemann
es	Spanish Ecuaciones de Cauchy-Riemann
et	Estonian Cauchy-Riemanni võrrandid
fa	Persian معادلات کوشی-ریمان
fi	Finnish Cauchyn–Riemannin yhtälö
fr	French Équations de Cauchy-Riemann
he	Hebrew משוואות קושי-רימן
hi	Hindi कौशी-रीमान समीकरण
hu	Hungarian Cauchy–Riemann-egyenletek
it	Italian Equazioni di Cauchy-Riemann
ja	Japanese コーシー・リーマンの方程式
ka	Georgian კოში-რიმანის განტოლებები
ko	Korean 코시-리만 방정식
lt	Lithuanian Koši-Rymano sąlygos
nl	Dutch Cauchy-riemann-differentiaalvergelijkingen
no	Norwegian Cauchy–Riemanns ligninger
pl	Polish Równania Cauchy’ego-Riemanna
pt	Portuguese Equações de Cauchy–Riemann
ro	Romanian Ecuațiile Cauchy-Riemann
ru	Russian Условия Коши — Римана
sv	Swedish Cauchy–Riemanns ekvationer
tr	Turkish Cauchy-Riemann denklemleri
uk	Ukrainian Умови Коші — Рімана
uz	Uzbek Koshi (tenglamalar sistemasi)
zh	Chinese 柯西-黎曼方程

Best Rank

Japanese: #98851 06.2020

Global: #89198 01.2015

Best Rank

Japanese: #18542 09.2014

Global: #1389 12.2001

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The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information