ビネ・コーシーの恒等式

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ビネ・コーシーの恒等式

Quality:

Binet–Cauchy identity - theorem. Article "ビネ・コーシーの恒等式" in Japanese Wikipedia has 7 points for quality (as of July 1, 2025). The article contains 1 references and 7 sections.

This article has the best quality in Dutch Wikipedia. However, the most popular language version of this article is English.

Since the creation of article "ビネ・コーシーの恒等式", its content was written by 8 registered users of Japanese Wikipedia and edited by 64 registered Wikipedia users in all languages.

The article is cited 5 times in Japanese Wikipedia and cited 58 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Japanese): #97276 in June 2017
  • Global: #300531 in July 2009

The highest popularity rank from 2008:

  • Local (Japanese): #396884 in May 2019
  • Global: #913685 in April 2015

There are 9 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
1Dutch (nl)
Identiteit van Binet-Cauchy
16.2664
2English (en)
Binet–Cauchy identity
12.4763
3Polish (pl)
Tożsamość Bineta-Cauchy’ego
11.4021
4Spanish (es)
Identidad de Binet-Cauchy
9.4057
5Swedish (sv)
Binet–Cauchys identitet
9.383
6French (fr)
Identité de Binet-Cauchy
7.7219
7Japanese (ja)
ビネ・コーシーの恒等式
7.045
8Finnish (fi)
Binetin–Cauchyn identiteetti
2.4411
9Hindi (hi)
बीने–कौशी तत्समक
1.5663
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 "ビネ・コーシーの恒等式" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Binet–Cauchy identity
85 903
2Japanese (ja)
ビネ・コーシーの恒等式
12 877
3French (fr)
Identité de Binet-Cauchy
6 566
4Polish (pl)
Tożsamość Bineta-Cauchy’ego
3 959
5Spanish (es)
Identidad de Binet-Cauchy
1 721
6Hindi (hi)
बीने–कौशी तत्समक
1 652
7Dutch (nl)
Identiteit van Binet-Cauchy
892
8Finnish (fi)
Binetin–Cauchyn identiteetti
638
9Swedish (sv)
Binet–Cauchys identitet
532
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 "ビネ・コーシーの恒等式" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Binet–Cauchy identity
483
2Japanese (ja)
ビネ・コーシーの恒等式
75
3French (fr)
Identité de Binet-Cauchy
40
4Polish (pl)
Tożsamość Bineta-Cauchy’ego
26
5Spanish (es)
Identidad de Binet-Cauchy
18
6Hindi (hi)
बीने–कौशी तत्समक
14
7Dutch (nl)
Identiteit van Binet-Cauchy
9
8Finnish (fi)
Binetin–Cauchyn identiteetti
5
9Swedish (sv)
Binet–Cauchys identitet
2
More...

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

The highest AI

Language versions of the article "ビネ・コーシーの恒等式" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Binet–Cauchy identity
21
2French (fr)
Identité de Binet-Cauchy
8
3Japanese (ja)
ビネ・コーシーの恒等式
8
4Polish (pl)
Tożsamość Bineta-Cauchy’ego
8
5Spanish (es)
Identidad de Binet-Cauchy
5
6Finnish (fi)
Binetin–Cauchyn identiteetti
5
7Hindi (hi)
बीने–कौशी तत्समक
4
8Swedish (sv)
Binet–Cauchys identitet
3
9Dutch (nl)
Identiteit van Binet-Cauchy
2
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 "ビネ・コーシーの恒等式" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Binet–Cauchy identity
0
2Spanish (es)
Identidad de Binet-Cauchy
0
3Finnish (fi)
Binetin–Cauchyn identiteetti
0
4French (fr)
Identité de Binet-Cauchy
0
5Hindi (hi)
बीने–कौशी तत्समक
0
6Japanese (ja)
ビネ・コーシーの恒等式
0
7Dutch (nl)
Identiteit van Binet-Cauchy
0
8Polish (pl)
Tożsamość Bineta-Cauchy’ego
0
9Swedish (sv)
Binet–Cauchys identitet
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 "ビネ・コーシーの恒等式" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Hindi (hi)
बीने–कौशी तत्समक
16
2Polish (pl)
Tożsamość Bineta-Cauchy’ego
12
3English (en)
Binet–Cauchy identity
11
4Japanese (ja)
ビネ・コーシーの恒等式
5
5French (fr)
Identité de Binet-Cauchy
4
6Dutch (nl)
Identiteit van Binet-Cauchy
3
7Swedish (sv)
Binet–Cauchys identitet
3
8Spanish (es)
Identidad de Binet-Cauchy
2
9Finnish (fi)
Binetin–Cauchyn identiteetti
2
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
enEnglish
Binet–Cauchy identity
esSpanish
Identidad de Binet-Cauchy
fiFinnish
Binetin–Cauchyn identiteetti
frFrench
Identité de Binet-Cauchy
hiHindi
बीने–कौशी तत्समक
jaJapanese
ビネ・コーシーの恒等式
nlDutch
Identiteit van Binet-Cauchy
plPolish
Tożsamość Bineta-Cauchy’ego
svSwedish
Binet–Cauchys identitet

Popularity rank trends

Best Rank Japanese:
#396884
05.2019
Global:
#913685
04.2015

AI rank trends

Best Rank Japanese:
#97276
06.2017
Global:
#300531
07.2009

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Binet–Cauchy identity from Wikipedia articles about Lagranges identity, List of mathematical identities, Vector algebra relations, Spherical law of cosines and Cross product. Whereas reading the article about Binet–Cauchy identity people most often go to Wikipedia articles on Cauchy–Binet formula, Lagranges identity, Exterior algebra, Jacques Philippe Marie Binet and Cauchy–Schwarz inequality.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 12 August 2025

On 12 August 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Cristiano Ronaldo, Wednesday, Georgina Rodríguez, ChatGPT, Weapons, Jenna Ortega, deaths in 2025, Taylor Swift, Miguel Uribe Turbay, 2025–26 UEFA Champions League.

In Japanese Wikipedia the most popular articles on that day were: 日本航空123便墜落事故, 坂本九, 二階堂ふみ, カズレーザー, 北原遥子, やなせたかし, 柏木由紀子, 大竹七未, 大島花子, 舞坂ゆき子.

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