Cauchy's integral formula

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Cauchy's integral formula

Quality:

Cauchy's integral formula - provides integral formulas for all derivatives of a holomorphic function. Article “Cauchy's integral formula” in Simple English Wikipedia has 0.6 points for quality (as of July 1, 2025).

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

Since the creation of article “Cauchy's integral formula”, its content was written by 3 registered users of Simple English Wikipedia and edited by 535 registered Wikipedia users in all languages.

The article is cited 2 times in Simple English Wikipedia and cited 585 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Simple English): #2223 in December 2013
  • Global: #6283 in January 2003

The highest popularity rank from 2008:

  • Local (Simple English): #33647 in December 2013
  • Global: #83963 in January 2015

There are 34 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.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Cauchy's integral formula
37.3478
2Slovak (sk)
Cauchyho integrálna formula
32.7368
3Catalan (ca)
Fórmula de la integral de Cauchy
29.5435
4Turkish (tr)
Cauchy integral formülü
29.3823
5Chinese (zh)
柯西積分公式
27.4368
6Greek (el)
Ολοκληρωτικός τύπος του Κωσύ
22.5581
7Portuguese (pt)
Fórmula integral de Cauchy
22.3968
8Serbian (sr)
Кошијева интегрална формула
22.176
9Spanish (es)
Fórmula integral de Cauchy
21.031
10Galician (gl)
Fórmula integral de Cauchy
20.9774
More...

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

Most popular in all the time

The most popular language versions of the article "Cauchy's integral formula" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Cauchy's integral formula
1 915 395
2German (de)
Cauchysche Integralformel
268 794
3Russian (ru)
Интегральная формула Коши
258 067
4French (fr)
Formule intégrale de Cauchy
175 233
5Japanese (ja)
コーシーの積分公式
171 588
6Spanish (es)
Fórmula integral de Cauchy
144 886
7Italian (it)
Formula integrale di Cauchy
138 562
8Chinese (zh)
柯西積分公式
96 868
9Polish (pl)
Wzór całkowy Cauchy’ego
96 537
10Portuguese (pt)
Fórmula integral de Cauchy
72 435
More...

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

Most popular in June 2025

The most popular language versions of the article "Cauchy's integral formula" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Cauchy's integral formula
7 093
2Russian (ru)
Интегральная формула Коши
967
3German (de)
Cauchysche Integralformel
877
4French (fr)
Formule intégrale de Cauchy
707
5Spanish (es)
Fórmula integral de Cauchy
561
6Chinese (zh)
柯西積分公式
533
7Italian (it)
Formula integrale di Cauchy
509
8Japanese (ja)
コーシーの積分公式
484
9Polish (pl)
Wzór całkowy Cauchy’ego
434
10Hebrew (he)
נוסחת האינטגרל של קושי
210
More...

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

The highest AI

Language versions of the article "Cauchy's integral formula" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Cauchy's integral formula
124
2French (fr)
Formule intégrale de Cauchy
56
3German (de)
Cauchysche Integralformel
46
4Italian (it)
Formula integrale di Cauchy
38
5Russian (ru)
Интегральная формула Коши
31
6Hebrew (he)
נוסחת האינטגרל של קושי
22
7Spanish (es)
Fórmula integral de Cauchy
20
8Japanese (ja)
コーシーの積分公式
18
9Finnish (fi)
Cauchyn integraalikaava
14
10Dutch (nl)
Integraalformule van Cauchy
14
More...

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

The highest AI in June 2025

Language versions of the article "Cauchy's integral formula" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Arabic (ar)
صيغة كوشي التكاملية
0
2Catalan (ca)
Fórmula de la integral de Cauchy
0
3Czech (cs)
Cauchyův vzorec
0
4German (de)
Cauchysche Integralformel
0
5Greek (el)
Ολοκληρωτικός τύπος του Κωσύ
0
6English (en)
Cauchy's integral formula
0
7Esperanto (eo)
Koŝia integrala formulo
0
8Spanish (es)
Fórmula integral de Cauchy
0
9Estonian (et)
Cauchy integraalvalem
0
10Basque (eu)
Cauchyren formula integral
0
More...

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

The highest CI

Language versions of the article "Cauchy's integral formula" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Cauchy's integral formula
123
2French (fr)
Formule intégrale de Cauchy
40
3Turkish (tr)
Cauchy integral formülü
34
4Hebrew (he)
נוסחת האינטגרל של קושי
32
5German (de)
Cauchysche Integralformel
30
6Russian (ru)
Интегральная формула Коши
27
7Chinese (zh)
柯西積分公式
27
8Japanese (ja)
コーシーの積分公式
22
9Vietnamese (vi)
Công thức tích phân Cauchy
22
10Italian (it)
Formula integrale di Cauchy
21
More...

Scores

Estimated value for Wikipedia:
Simple English:
Global:
Popularity in June 2025:
Simple English:
Global:
Popularity in all years:
Simple English:
Global:
Authors in June 2025:
Simple English:
Global:
Registered authors in all years:
Simple English:
Global:
Citations:
Simple English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
صيغة كوشي التكاملية
caCatalan
Fórmula de la integral de Cauchy
csCzech
Cauchyův vzorec
deGerman
Cauchysche Integralformel
elGreek
Ολοκληρωτικός τύπος του Κωσύ
enEnglish
Cauchy's integral formula
eoEsperanto
Koŝia integrala formulo
esSpanish
Fórmula integral de Cauchy
etEstonian
Cauchy integraalvalem
euBasque
Cauchyren formula integral
faPersian
فرمول انتگرال کوشی
fiFinnish
Cauchyn integraalikaava
frFrench
Formule intégrale de Cauchy
glGalician
Fórmula integral de Cauchy
heHebrew
נוסחת האינטגרל של קושי
hiHindi
कौशी समाकल सूत्र
huHungarian
Cauchy-integrálképlet
hyArmenian
Կոշիի ինտեգրալ
itItalian
Formula integrale di Cauchy
jaJapanese
コーシーの積分公式
kaGeorgian
კოშის ინტეგრალი
koKorean
코시 적분 공식
nlDutch
Integraalformule van Cauchy
plPolish
Wzór całkowy Cauchy’ego
ptPortuguese
Fórmula integral de Cauchy
ruRussian
Интегральная формула Коши
simpleSimple English
Cauchy's integral formula
skSlovak
Cauchyho integrálna formula
srSerbian
Кошијева интегрална формула
svSwedish
Cauchys integralformel
trTurkish
Cauchy integral formülü
ukUkrainian
Інтегральна формула Коші
viVietnamese
Công thức tích phân Cauchy
zhChinese
柯西積分公式

Popularity rank trends

Best Rank Simple English:
#33647
12.2013
Global:
#83963
01.2015

AI rank trends

Best Rank Simple English:
#2223
12.2013
Global:
#6283
01.2003

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Cauchy's integral formula from Wikipedia articles about Cauchys integral theorem, Contour integration, Residue theorem, Laurent series and Cauchy theorem. Whereas reading the article about Cauchy's integral formula people most often go to Wikipedia articles on Cauchys integral theorem, Holomorphic function, Residue theorem, Augustin-Louis Cauchy and Contour integration.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

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About WikiRank

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