ベクトルの共変性と反変性

Covariance and contravariance of vectors - manner in which a geometric object varies with a change of basis. Article "ベクトルの共変性と反変性" in Japanese Wikipedia has 14.8 points for quality (as of July 1, 2025). The article contains 3 references and 10 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 "ベクトルの共変性と反変性", its content was written by 13 registered users of Japanese Wikipedia and edited by 386 registered Wikipedia users in all languages.

The article is cited 78 times in Japanese Wikipedia and cited 602 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Japanese): #34179 in September 2017
• Global: #7063 in March 2003

The highest popularity rank from 2008:

• Local (Japanese): #161689 in June 2021
• Global: #136225 in October 2020

There are 19 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) Covariance and contravariance of vectors		48.0658
2	Hebrew (he) וקטורים קוואריאנטיים וקונטרוואריאנטיים		43.2631
3	Spanish (es) Covarianza y contravarianza		30.8817
4	Greek (el) Συνδιακύμανση και αντιδιακύμανση διανυσμάτων		30.4681
5	Galician (gl) Covarianza e contravarianza de vectores		26.8303
6	Swedish (sv) Kovarians och kontravarians (vektorer)		25.1452
7	French (fr) Vecteur contravariant, covariant et covecteur		20.9972
8	Chinese (zh) 共變和反變		20.3589
9	Korean (ko) 벡터의 공변성 및 반변성		19.8747
10	Turkish (tr) Vektörlerin kovaryansı ve kontravaryansı		16.1442

More...

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

The most popular language versions of the article "ベクトルの共変性と反変性" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Covariance and contravariance of vectors		1 613 823
2	Spanish (es) Covarianza y contravarianza		187 811
3	Italian (it) Covarianza e controvarianza		170 720
4	Russian (ru) Ковариантность и контравариантность (математика)		148 100
5	Japanese (ja) ベクトルの共変性と反変性		89 305
6	Chinese (zh) 共變和反變		75 750
7	French (fr) Vecteur contravariant, covariant et covecteur		36 462
8	Korean (ko) 벡터의 공변성 및 반변성		24 697
9	Swedish (sv) Kovarians och kontravarians (vektorer)		14 952
10	Dutch (nl) Contravariant en covariant		13 977

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 "ベクトルの共変性と反変性" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Covariance and contravariance of vectors		6 070
2	Russian (ru) Ковариантность и контравариантность (математика)		778
3	Japanese (ja) ベクトルの共変性と反変性		606
4	Italian (it) Covarianza e controvarianza		491
5	Chinese (zh) 共變和反變		472
6	Spanish (es) Covarianza y contravarianza		447
7	Korean (ko) 벡터의 공변성 및 반변성		205
8	French (fr) Vecteur contravariant, covariant et covecteur		183
9	Portuguese (pt) Covariância e contravariância		89
10	Hebrew (he) וקטורים קוואריאנטיים וקונטרוואריאנטיים		76

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

Language versions of the article "ベクトルの共変性と反変性" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Covariance and contravariance of vectors		164
2	Italian (it) Covarianza e controvarianza		47
3	Russian (ru) Ковариантность и контравариантность (математика)		29
4	French (fr) Vecteur contravariant, covariant et covecteur		26
5	Spanish (es) Covarianza y contravarianza		21
6	Chinese (zh) 共變和反變		20
7	Swedish (sv) Kovarians och kontravarians (vektorer)		16
8	Japanese (ja) ベクトルの共変性と反変性		13
9	Greek (el) Συνδιακύμανση και αντιδιακύμανση διανυσμάτων		9
10	Korean (ko) 벡터의 공변성 및 반변성		9

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 "ベクトルの共変性と反変性" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	English (en) Covariance and contravariance of vectors		1
2	Catalan (ca) Covariància i contravariància de vectors		0
3	Greek (el) Συνδιακύμανση και αντιδιακύμανση διανυσμάτων		0
4	Spanish (es) Covarianza y contravarianza		0
5	French (fr) Vecteur contravariant, covariant et covecteur		0
6	Galician (gl) Covarianza e contravarianza de vectores		0
7	Hebrew (he) וקטורים קוואריאנטיים וקונטרוואריאנטיים		0
8	Armenian (hy) Կովարիանտ և կոնտրավարիանտ թենզոր		0
9	Italian (it) Covarianza e controvarianza		0
10	Japanese (ja) ベクトルの共変性と反変性		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 "ベクトルの共変性と反変性" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Covariance and contravariance of vectors		196
2	Spanish (es) Covarianza y contravarianza		94
3	Japanese (ja) ベクトルの共変性と反変性		78
4	Italian (it) Covarianza e controvarianza		35
5	Portuguese (pt) Covariância e contravariância		35
6	Chinese (zh) 共變和反變		32
7	Catalan (ca) Covariància i contravariància de vectors		30
8	Russian (ru) Ковариантность и контравариантность (математика)		26
9	Swedish (sv) Kovarians och kontravarians (vektorer)		16
10	Dutch (nl) Contravariant en covariant		13

More...

#	Language	Value
ca	Catalan Covariància i contravariància de vectors
el	Greek Συνδιακύμανση και αντιδιακύμανση διανυσμάτων
en	English Covariance and contravariance of vectors
es	Spanish Covarianza y contravarianza
fr	French Vecteur contravariant, covariant et covecteur
gl	Galician Covarianza e contravarianza de vectores
he	Hebrew וקטורים קוואריאנטיים וקונטרוואריאנטיים
hy	Armenian Կովարիանտ և կոնտրավարիանտ թենզոր
it	Italian Covarianza e controvarianza
ja	Japanese ベクトルの共変性と反変性
ko	Korean 벡터의 공변성 및 반변성
nl	Dutch Contravariant en covariant
pt	Portuguese Covariância e contravariância
ru	Russian Ковариантность и контравариантность (математика)
sl	Slovenian Kovariantnost in kontravariantnost
sv	Swedish Kovarians och kontravarians (vektorer)
tr	Turkish Vektörlerin kovaryansı ve kontravaryansı
uk	Ukrainian Коваріантність і контраваріантність (математика)
zh	Chinese 共變和反變

Best Rank

Japanese: #161689 06.2021

Global: #136225 10.2020

Best Rank

Japanese: #34179 09.2017

Global: #7063 03.2003

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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