Pontryagin duality

en

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Pontryagin duality

Quality:

Pontryagin duality - Duality for locally compact abelian groups. Article "Pontryagin duality" in English Wikipedia has 50.6 points for quality (as of August 1, 2024). The article contains 31 references and 18 sections. The article also contains quality flaw template, which reduce quality score.

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

Since the creation of article "Pontryagin duality", its content was written by 121 registered users of English Wikipedia and edited by 288 registered Wikipedia users in all languages.

The article is cited 107 times in English Wikipedia and cited 410 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #5624 in April 2004
  • Global: #12268 in May 2004

The highest popularity rank from 2008:

  • Local (English): #267716 in April 2015
  • Global: #305652 in March 2009

There are 16 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.

Languages with the highest quality

#LanguageQuality gradeQuality score
1Chinese (zh)
龐特里亞金對偶性
57.7413
2English (en)
Pontryagin duality
50.6209
3Korean (ko)
폰트랴긴 쌍대성
17.9765
4Hebrew (he)
דואליות פונטריאגין
17.7519
5Catalan (ca)
Dualitat de Pontryagin
14.8001
6Japanese (ja)
ポントリャーギン双対
13.6295
7French (fr)
Dualité de Pontriaguine
12.2312
8Serbo-Croatian (sh)
Dualnost po Pontrjaginu
11.7366
9Spanish (es)
Dualidad de Pontriaguin
11.6096
10German (de)
Pontrjagin-Dualität
11.4797
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 "Pontryagin duality" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Pontryagin duality
535 930
2Japanese (ja)
ポントリャーギン双対
40 350
3Russian (ru)
Двойственность Понтрягина
38 851
4Spanish (es)
Dualidad de Pontriaguin
33 745
5French (fr)
Dualité de Pontriaguine
30 414
6Chinese (zh)
龐特里亞金對偶性
21 578
7German (de)
Pontrjagin-Dualität
17 961
8Portuguese (pt)
Dualidade de Pontryagin
6 292
9Korean (ko)
폰트랴긴 쌍대성
4 503
10Serbian (sr)
Дуалност по Понтрјагину
3 880
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in July 2024

The most popular language versions of the article "Pontryagin duality" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Pontryagin duality
3 367
2Japanese (ja)
ポントリャーギン双対
291
3French (fr)
Dualité de Pontriaguine
162
4Russian (ru)
Двойственность Понтрягина
141
5Chinese (zh)
龐特里亞金對偶性
140
6Spanish (es)
Dualidad de Pontriaguin
71
7German (de)
Pontrjagin-Dualität
63
8Hebrew (he)
דואליות פונטריאגין
43
9Korean (ko)
폰트랴긴 쌍대성
31
10Serbian (sr)
Дуалност по Понтрјагину
16
More...

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

The highest AI

Language versions of the article "Pontryagin duality" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Pontryagin duality
121
2French (fr)
Dualité de Pontriaguine
34
3Spanish (es)
Dualidad de Pontriaguin
24
4German (de)
Pontrjagin-Dualität
20
5Russian (ru)
Двойственность Понтрягина
16
6Hebrew (he)
דואליות פונטריאגין
11
7Japanese (ja)
ポントリャーギン双対
11
8Chinese (zh)
龐特里亞金對偶性
10
9Dutch (nl)
Pontryagin-dualiteit
9
10Catalan (ca)
Dualitat de Pontryagin
8
More...

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

The highest AI in July 2024

Language versions of the article "Pontryagin duality" with the highest AI in July 2024
#LanguageAI awardRelative AI
1French (fr)
Dualité de Pontriaguine
1
2Catalan (ca)
Dualitat de Pontryagin
0
3German (de)
Pontrjagin-Dualität
0
4English (en)
Pontryagin duality
0
5Spanish (es)
Dualidad de Pontriaguin
0
6Persian (fa)
دوگان پنتریجین
0
7Hebrew (he)
דואליות פונטריאגין
0
8Japanese (ja)
ポントリャーギン双対
0
9Korean (ko)
폰트랴긴 쌍대성
0
10Dutch (nl)
Pontryagin-dualiteit
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 "Pontryagin duality" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Pontryagin duality
107
2French (fr)
Dualité de Pontriaguine
59
3Japanese (ja)
ポントリャーギン双対
42
4Spanish (es)
Dualidad de Pontriaguin
30
5Chinese (zh)
龐特里亞金對偶性
27
6German (de)
Pontrjagin-Dualität
26
7Catalan (ca)
Dualitat de Pontryagin
20
8Russian (ru)
Двойственность Понтрягина
20
9Korean (ko)
폰트랴긴 쌍대성
19
10Serbian (sr)
Дуалност по Понтрјагину
15
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in July 2024:
English:
Global:
Popularity in all years:
English:
Global:
Authors in July 2024:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Dualitat de Pontryagin
deGerman
Pontrjagin-Dualität
enEnglish
Pontryagin duality
esSpanish
Dualidad de Pontriaguin
faPersian
دوگان پنتریجین
frFrench
Dualité de Pontriaguine
heHebrew
דואליות פונטריאגין
jaJapanese
ポントリャーギン双対
koKorean
폰트랴긴 쌍대성
nlDutch
Pontryagin-dualiteit
ptPortuguese
Dualidade de Pontryagin
ruRussian
Двойственность Понтрягина
shSerbo-Croatian
Dualnost po Pontrjaginu
srSerbian
Дуалност по Понтрјагину
ukUkrainian
Дуальність Понтрягіна
zhChinese
龐特里亞金對偶性

Popularity rank trends

Best Rank English:
#267716
04.2015
Global:
#305652
03.2009

AI rank trends

Best Rank English:
#5624
04.2004
Global:
#12268
05.2004

Local AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Pontryagin duality from Wikipedia articles about P-adic number, Dual group, Conjugate variables, Reciprocal lattice and Position and momentum space. Whereas reading the article about Pontryagin duality people most often go to Wikipedia articles on Lev Pontryagin, Locally compact abelian group, Haar measure, P-adic number and Complex unit circle.

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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In English Wikipedia the most popular articles on that day were: Kim Sae-ron, Alabama, Deaths in 2025, Sarah McBride, Kim Soo-hyun, Elon Musk, 2024–25 UEFA Champions League, Mark Carney, Rosie O'Donnell, Mickey 17.

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 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