Invariant (mathematics)

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Invariant (mathematics)

Quality:

Invariant - property of mathematical objects that remains unchanged for transformations applied to the objects. Article "Invariant (mathematics)" in English Wikipedia has 32.6 points for quality (as of July 1, 2025). The article contains 19 references and 13 sections. The article also contains quality flaw template, which reduce quality score.

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

Since the creation of article "Invariant (mathematics)", its content was written by 135 registered users of English Wikipedia and edited by 458 registered Wikipedia users in all languages.

The article is cited 345 times in English Wikipedia and cited 1580 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #56702 in November 2005
  • Global: #21659 in August 2008

The highest popularity rank from 2008:

  • Local (English): #88492 in April 2015
  • Global: #93626 in March 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.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Invariant (mathematics)
32.5606
2Ukrainian (uk)
Інваріант (математика)
28.4459
3Indonesian (id)
Invarian (matematika)
20.9417
4Estonian (et)
Invariant
19.2545
5Turkish (tr)
Değişmez
18.5636
6Uzbek (uz)
Invariantlar
17.2426
7Lithuanian (lt)
Invariantas (matematika)
16.7539
8Arabic (ar)
لامتغير (رياضيات)
14.7027
9Finnish (fi)
Invarianssi
12.8362
10Korean (ko)
불변량
11.647
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 "Invariant (mathematics)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Invariant (mathematics)
1 536 782
2German (de)
Invariante (Mathematik)
271 278
3Russian (ru)
Инвариант (математика)
231 363
4Spanish (es)
Invariante
214 181
5French (fr)
Invariant
126 453
6Japanese (ja)
不変量
65 915
7Italian (it)
Invarianza (matematica)
55 267
8Polish (pl)
Niezmiennik przekształcenia
41 161
9Persian (fa)
ناوردا
38 275
10Portuguese (pt)
Invariante
34 414
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 "Invariant (mathematics)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Invariant (mathematics)
4 674
2German (de)
Invariante (Mathematik)
672
3Russian (ru)
Инвариант (математика)
551
4French (fr)
Invariant
342
5Japanese (ja)
不変量
271
6Spanish (es)
Invariante
255
7Persian (fa)
ناوردا
127
8Italian (it)
Invarianza (matematica)
95
9Korean (ko)
불변량
74
10Hebrew (he)
שמורה (מתמטיקה)
70
More...

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

The highest AI

Language versions of the article "Invariant (mathematics)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Invariant (mathematics)
135
2French (fr)
Invariant
45
3German (de)
Invariante (Mathematik)
43
4Dutch (nl)
Invariant (wiskunde)
31
5Spanish (es)
Invariante
24
6Russian (ru)
Инвариант (математика)
20
7Catalan (ca)
Invariant
15
8Italian (it)
Invarianza (matematica)
14
9Polish (pl)
Niezmiennik przekształcenia
13
10Czech (cs)
Invariant (matematika)
10
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 "Invariant (mathematics)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Estonian (et)
Invariant
2
2Indonesian (id)
Invarian (matematika)
2
3Arabic (ar)
لامتغير (رياضيات)
0
4Catalan (ca)
Invariant
0
5Czech (cs)
Invariant (matematika)
0
6Danish (da)
Invariant
0
7German (de)
Invariante (Mathematik)
0
8English (en)
Invariant (mathematics)
0
9Esperanto (eo)
Invarianto (matematiko)
0
10Spanish (es)
Invariante
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 "Invariant (mathematics)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Invariant (mathematics)
345
2French (fr)
Invariant
192
3German (de)
Invariante (Mathematik)
141
4Catalan (ca)
Invariant
100
5Spanish (es)
Invariante
100
6Japanese (ja)
不変量
100
7Russian (ru)
Инвариант (математика)
97
8Portuguese (pt)
Invariante
53
9Ukrainian (uk)
Інваріант (математика)
49
10Hebrew (he)
שמורה (מתמטיקה)
43
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
arArabic
لامتغير (رياضيات)
caCatalan
Invariant
csCzech
Invariant (matematika)
daDanish
Invariant
deGerman
Invariante (Mathematik)
enEnglish
Invariant (mathematics)
eoEsperanto
Invarianto (matematiko)
esSpanish
Invariante
etEstonian
Invariant
faPersian
ناوردا
fiFinnish
Invarianssi
frFrench
Invariant
glGalician
Invariante
heHebrew
שמורה (מתמטיקה)
hyArmenian
Ինվարիանտ (մաթեմատիկա)
idIndonesian
Invarian (matematika)
itItalian
Invarianza (matematica)
jaJapanese
不変量
kkKazakh
Инвариант (математика)
koKorean
불변량
ltLithuanian
Invariantas (matematika)
nlDutch
Invariant (wiskunde)
plPolish
Niezmiennik przekształcenia
ptPortuguese
Invariante
ruRussian
Инвариант (математика)
skSlovak
Invariant (matematika)
slSlovenian
Invarianta (matematika)
svSwedish
Invariant
trTurkish
Değişmez
ukUkrainian
Інваріант (математика)
uzUzbek
Invariantlar

Popularity rank trends

Best Rank English:
#88492
04.2015
Global:
#93626
03.2015

AI rank trends

Best Rank English:
#56702
11.2005
Global:
#21659
08.2008

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Invariant from Wikipedia articles about Invariant, Class invariant, Emmy Noether, Symmetry and Design by contract. Whereas reading the article about Invariant people most often go to Wikipedia articles on Invariant, Isometry, Loop invariant, Class invariant and Invariant.

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