Inversion (discrete mathematics)

Inversion - pair of positions in a sequence where two elements are out of sorted order. Article “Inversion (discrete mathematics)” in English Wikipedia has 46.8 points for quality (as of July 1, 2025). The article contains 19 references and 11 sections.

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

Since the creation of article “Inversion (discrete mathematics)”, its content was written by 43 registered users of English Wikipedia and edited by 108 registered Wikipedia users in all languages.

The article is cited 39 times in English Wikipedia and cited 105 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #32593 in January 2017
• Global: #56492 in January 2017

The highest popularity rank from 2008:

• Local (English): #209774 in May 2022
• Global: #311626 in May 2022

There are 10 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	Chinese (zh) 逆序对		57.2747
2	English (en) Inversion (discrete mathematics)		46.8042
3	German (de) Fehlstand		43.2203
4	Persian (fa) وارونگی (ریاضیات گسسته)		36.0327
5	Galician (gl) Inversión (matemáticas)		31.9261
6	Swedish (sv) Inversion (kombinatorik)		23.5932
7	Kazakh (kk) Инверсия (комбинаторика)		21.8392
8	Japanese (ja) 転倒 (数学)		15.1834
9	Polish (pl) Inwersja (kombinatoryka)		10.2317
10	Ukrainian (uk) Інверсія (дискретна математика)		3.061

More...

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

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

#	Language	Popularity award	Relative popularity
1	English (en) Inversion (discrete mathematics)		321 017
2	German (de) Fehlstand		88 288
3	Polish (pl) Inwersja (kombinatoryka)		50 738
4	Chinese (zh) 逆序对		48 957
5	Japanese (ja) 転倒 (数学)		43 953
6	Kazakh (kk) Инверсия (комбинаторика)		3 393
7	Ukrainian (uk) Інверсія (дискретна математика)		2 410
8	Persian (fa) وارونگی (ریاضیات گسسته)		1 971
9	Swedish (sv) Inversion (kombinatorik)		1 868
10	Galician (gl) Inversión (matemáticas)		119

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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 "Inversion (discrete mathematics)" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Inversion (discrete mathematics)		1 448
2	Chinese (zh) 逆序对		205
3	Japanese (ja) 転倒 (数学)		195
4	German (de) Fehlstand		182
5	Polish (pl) Inwersja (kombinatoryka)		66
6	Ukrainian (uk) Інверсія (дискретна математика)		23
7	Kazakh (kk) Инверсия (комбинаторика)		10
8	Persian (fa) وارونگی (ریاضیات گسسته)		8
9	Swedish (sv) Inversion (kombinatorik)		5
10	Galician (gl) Inversión (matemáticas)		3

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

Language versions of the article "Inversion (discrete 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) Inversion (discrete mathematics)		43
2	German (de) Fehlstand		19
3	Chinese (zh) 逆序对		18
4	Polish (pl) Inwersja (kombinatoryka)		10
5	Persian (fa) وارونگی (ریاضیات گسسته)		4
6	Japanese (ja) 転倒 (数学)		4
7	Kazakh (kk) Инверсия (комбинаторика)		3
8	Swedish (sv) Inversion (kombinatorik)		3
9	Galician (gl) Inversión (matemáticas)		2
10	Ukrainian (uk) Інверсія (дискретна математика)		2

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

Language versions of the article "Inversion (discrete mathematics)" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	German (de) Fehlstand		0
2	English (en) Inversion (discrete mathematics)		0
3	Persian (fa) وارونگی (ریاضیات گسسته)		0
4	Galician (gl) Inversión (matemáticas)		0
5	Japanese (ja) 転倒 (数学)		0
6	Kazakh (kk) Инверсия (комбинаторика)		0
7	Polish (pl) Inwersja (kombinatoryka)		0
8	Swedish (sv) Inversion (kombinatorik)		0
9	Ukrainian (uk) Інверсія (дискретна математика)		0
10	Chinese (zh) 逆序对		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 "Inversion (discrete mathematics)" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Inversion (discrete mathematics)		39
2	German (de) Fehlstand		27
3	Japanese (ja) 転倒 (数学)		10
4	Polish (pl) Inwersja (kombinatoryka)		7
5	Chinese (zh) 逆序对		7
6	Swedish (sv) Inversion (kombinatorik)		5
7	Ukrainian (uk) Інверсія (дискретна математика)		5
8	Persian (fa) وارونگی (ریاضیات گسسته)		4
9	Kazakh (kk) Инверсия (комбинаторика)		1
10	Galician (gl) Inversión (matemáticas)		0

More...

#	Language	Value
de	German Fehlstand
en	English Inversion (discrete mathematics)
fa	Persian وارونگی (ریاضیات گسسته)
gl	Galician Inversión (matemáticas)
ja	Japanese 転倒 (数学)
kk	Kazakh Инверсия (комбинаторика)
pl	Polish Inwersja (kombinatoryka)
sv	Swedish Inversion (kombinatorik)
uk	Ukrainian Інверсія (дискретна математика)
zh	Chinese 逆序对

Best Rank

English: #209774 05.2022

Global: #311626 05.2022

Best Rank

English: #32593 01.2017

Global: #56492 01.2017

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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