Invariant (mathematics)

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 August 1, 2024). 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 134 registered users of English Wikipedia and edited by 441 registered Wikipedia users in all languages.

The article is cited 339 times in English Wikipedia and cited 1490 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #56697 in November 2005
• Global: #21678 in August 2008

The highest popularity rank from 2008:

• Local (English): #88582 in April 2015
• Global: #93706 in March 2015

There are 29 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 August 1, 2024 (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) Invariant (mathematics)		32.6231
2	Ukrainian (uk) Інваріант (математика)		28.7037
3	Estonian (et) Invariant		19.4235
4	Turkish (tr) Değişmez		18.1344
5	Lithuanian (lt) Invariantas (matematika)		17.1664
6	Uzbek (uz) Invariantlar		16.8292
7	Arabic (ar) لامتغير (رياضيات)		14.6255
8	Korean (ko) 불변량		11.6182
9	Finnish (fi) Invarianssi		11.5398
10	Dutch (nl) Invariant (wiskunde)		10.5846

More...

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

The most popular language versions of the article "Invariant (mathematics)" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Invariant (mathematics)		1 480 922
2	German (de) Invariante (Mathematik)		262 457
3	Russian (ru) Инвариант (математика)		220 562
4	Spanish (es) Invariante		209 882
5	French (fr) Invariant		122 210
6	Japanese (ja) 不変量		62 470
7	Italian (it) Invarianza (matematica)		53 805
8	Polish (pl) Niezmiennik przekształcenia		40 460
9	Persian (fa) ناوردا		35 683
10	Portuguese (pt) Invariante		33 698

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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 "Invariant (mathematics)" in July 2024

#	Language	Popularity award	Relative popularity
1	English (en) Invariant (mathematics)		4 772
2	German (de) Invariante (Mathematik)		1 021
3	Russian (ru) Инвариант (математика)		719
4	Spanish (es) Invariante		383
5	French (fr) Invariant		274
6	Japanese (ja) 不変量		274
7	Persian (fa) ناوردا		170
8	Italian (it) Invarianza (matematica)		150
9	Hebrew (he) שמורה (מתמטיקה)		94
10	Korean (ko) 불변량		72

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

Language versions of the article "Invariant (mathematics)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Invariant (mathematics)		134
2	German (de) Invariante (Mathematik)		42
3	French (fr) Invariant		40
4	Dutch (nl) Invariant (wiskunde)		31
5	Spanish (es) Invariante		23
6	Russian (ru) Инвариант (математика)		20
7	Catalan (ca) Invariant		15
8	Italian (it) Invarianza (matematica)		14
9	Polish (pl) Niezmiennik przekształcenia		12
10	Czech (cs) Invariant (matematika)		10

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 "Invariant (mathematics)" with the highest AI in July 2024

#	Language	AI award	Relative AI
1	Arabic (ar) لامتغير (رياضيات)		0
2	Catalan (ca) Invariant		0
3	Czech (cs) Invariant (matematika)		0
4	Danish (da) Invariant		0
5	German (de) Invariante (Mathematik)		0
6	English (en) Invariant (mathematics)		0
7	Esperanto (eo) Invarianto (matematiko)		0
8	Spanish (es) Invariante		0
9	Estonian (et) Invariant		0
10	Persian (fa) ناوردا		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 "Invariant (mathematics)" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Invariant (mathematics)		339
2	French (fr) Invariant		177
3	German (de) Invariante (Mathematik)		129
4	Japanese (ja) 不変量		99
5	Catalan (ca) Invariant		97
6	Spanish (es) Invariante		97
7	Russian (ru) Инвариант (математика)		94
8	Portuguese (pt) Invariante		52
9	Ukrainian (uk) Інваріант (математика)		47
10	Hebrew (he) שמורה (מתמטיקה)		40

More...

#	Language	Value
ar	Arabic لامتغير (رياضيات)
ca	Catalan Invariant
cs	Czech Invariant (matematika)
da	Danish Invariant
de	German Invariante (Mathematik)
en	English Invariant (mathematics)
eo	Esperanto Invarianto (matematiko)
es	Spanish Invariante
et	Estonian Invariant
fa	Persian ناوردا
fi	Finnish Invarianssi
fr	French Invariant
he	Hebrew שמורה (מתמטיקה)
hy	Armenian Ինվարիանտ (մաթեմատիկա)
it	Italian Invarianza (matematica)
ja	Japanese 不変量
kk	Kazakh Инвариант (математика)
ko	Korean 불변량
lt	Lithuanian Invariantas (matematika)
nl	Dutch Invariant (wiskunde)
pl	Polish Niezmiennik przekształcenia
pt	Portuguese Invariante
ru	Russian Инвариант (математика)
sk	Slovak Invariant (matematika)
sl	Slovenian Invarianta (matematika)
sv	Swedish Invariant
tr	Turkish Değişmez
uk	Ukrainian Інваріант (математика)
uz	Uzbek Invariantlar

Best Rank

English: #88582 04.2015

Global: #93706 03.2015

Best Rank

English: #56697 11.2005

Global: #21678 08.2008

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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 August, 2024. When calculating current popularity and AI of articles data from July 2024 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information