Bipolar theorem

en

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Bipolar theorem

Quality:

Bipolar theorem - theorem in convex analysis. Article “Bipolar theorem” in English Wikipedia has 27.2 points for quality (as of July 1, 2025). The article contains 8 references and 8 sections.

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

Since the creation of article “Bipolar theorem”, its content was written by 17 registered users of English Wikipedia and edited by 29 registered Wikipedia users in all languages.

The article is cited 11 times in English Wikipedia and cited 19 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #75180 in September 2018
  • Global: #254602 in June 2016

The highest popularity rank from 2008:

  • Local (English): #1249360 in July 2022
  • Global: #2061534 in July 2022

There are 4 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
1Latin (la)
Theorema bipolare
35.8124
2English (en)
Bipolar theorem
27.1505
3French (fr)
Théorème bipolaire
24.4794
4Japanese (ja)
双極定理
22.0188
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 "Bipolar theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Bipolar theorem
33 187
2Japanese (ja)
双極定理
2 000
3French (fr)
Théorème bipolaire
1 295
4Latin (la)
Theorema bipolare
519
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 "Bipolar theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Bipolar theorem
205
2Japanese (ja)
双極定理
24
3French (fr)
Théorème bipolaire
13
4Latin (la)
Theorema bipolare
9
More...

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

The highest AI

Language versions of the article "Bipolar theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Bipolar theorem
17
2French (fr)
Théorème bipolaire
6
3Latin (la)
Theorema bipolare
4
4Japanese (ja)
双極定理
2
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 "Bipolar theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Bipolar theorem
0
2French (fr)
Théorème bipolaire
0
3Japanese (ja)
双極定理
0
4Latin (la)
Theorema bipolare
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 "Bipolar theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Bipolar theorem
11
2Japanese (ja)
双極定理
4
3French (fr)
Théorème bipolaire
3
4Latin (la)
Theorema bipolare
1
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
enEnglish
Bipolar theorem
frFrench
Théorème bipolaire
jaJapanese
双極定理
laLatin
Theorema bipolare

Popularity rank trends

Best Rank English:
#1249360
07.2022
Global:
#2061534
07.2022

AI rank trends

Best Rank English:
#75180
09.2018
Global:
#254602
06.2016

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Bipolar theorem from Wikipedia articles about Dual cone, Polar set, Fenchel–Moreau theorem, Convex cone and Dixmier-Ng Theorem. Whereas reading the article about Bipolar theorem people most often go to Wikipedia articles on Fenchel–Moreau theorem, Polar set, Absolutely convex set, Dual system and Topological vector space.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 28 February 2026

On 28 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Ali Khamenei, Iran, Ruhollah Khomeini, Jeffrey Epstein, Supreme Leader of Iran, Mohammad Reza I of Iran, 2026 Israeli–United States strikes on Iran, Neil Sedaka, Masoud Pezeshkian, Resident Evil Requiem.

In English Wikipedia the most popular articles on that day were: Ali Khamenei, 2026 Israeli–United States strikes on Iran, Neil Sedaka, Iran, Ruhollah Khomeini, Iran–Israel conflict, Supreme Leader of Iran, Scream 7, Elimination Chamber (2026), World War III.

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