Hahn–Banach theorem

en

WikiRank.net
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Hahn–Banach theorem

Quality:

Hahn–Banach theorem - theorem on extension of bounded linear functionals. Article "Hahn–Banach theorem" in English Wikipedia has 65 points for quality (as of November 1, 2023). The article contains 91 references and 27 sections.

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 "Hahn–Banach theorem", its content was written by 121 registered users of English Wikipedia and edited by 421 registered Wikipedia users in all languages.

The article is cited 518 times in English Wikipedia and cited 1082 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #366 in September 2001
  • Global: #460 in September 2001

The highest popularity rank from 2008:

  • Local (English): #121649 in January 2019
  • Global: #161650 in January 2019

There are 20 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 November 1, 2023 (including revision history and pageviews for previous years).

下表顯示了最高品質的文章的語言版本。

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Hahn–Banach theorem
64.9956
2Portuguese (pt)
Teorema de Hahn-Banach
35.8597
3German (de)
Satz von Hahn-Banach
25.0571
4Chinese (zh)
哈恩-巴拿赫定理
22.2155
5Dutch (nl)
Stelling van Hahn-Banach
21.4314
6French (fr)
Théorème de Hahn-Banach
20.2029
7Catalan (ca)
Teorema de Hahn-Banach
18.3299
8Italian (it)
Teorema di Hahn-Banach
14.2491
9Polish (pl)
Twierdzenie Hahna-Banacha
14.0412
10Vietnamese (vi)
Định lý Hahn-Banach
12.8227
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 "Hahn–Banach theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Hahn–Banach theorem
704 788
2German (de)
Satz von Hahn-Banach
111 444
3French (fr)
Théorème de Hahn-Banach
109 198
4Russian (ru)
Теорема Хана — Банаха
80 712
5Polish (pl)
Twierdzenie Hahna-Banacha
63 894
6Japanese (ja)
ハーン–バナッハの定理
49 992
7Italian (it)
Teorema di Hahn-Banach
46 430
8Spanish (es)
Teorema de Hahn–Banach
41 118
9Portuguese (pt)
Teorema de Hahn-Banach
19 857
10Chinese (zh)
哈恩-巴拿赫定理
18 773
More...

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

Most popular in October 2023

The most popular language versions of the article "Hahn–Banach theorem" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Hahn–Banach theorem
5 969
2French (fr)
Théorème de Hahn-Banach
954
3German (de)
Satz von Hahn-Banach
591
4Russian (ru)
Теорема Хана — Банаха
493
5Japanese (ja)
ハーン–バナッハの定理
444
6Spanish (es)
Teorema de Hahn–Banach
262
7Italian (it)
Teorema di Hahn-Banach
236
8Polish (pl)
Twierdzenie Hahna-Banacha
171
9Chinese (zh)
哈恩-巴拿赫定理
167
10Portuguese (pt)
Teorema de Hahn-Banach
121
More...

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

The highest AI

Language versions of the article "Hahn–Banach theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Hahn–Banach theorem
121
2French (fr)
Théorème de Hahn-Banach
49
3German (de)
Satz von Hahn-Banach
42
4Italian (it)
Teorema di Hahn-Banach
38
5Russian (ru)
Теорема Хана — Банаха
38
6Hebrew (he)
משפט האן-בנך
19
7Polish (pl)
Twierdzenie Hahna-Banacha
19
8Vietnamese (vi)
Định lý Hahn-Banach
18
9Japanese (ja)
ハーン–バナッハの定理
12
10Dutch (nl)
Stelling van Hahn-Banach
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 October 2023

Language versions of the article "Hahn–Banach theorem" with the highest AI in October 2023
#LanguageAI awardRelative AI
1Chinese (zh)
哈恩-巴拿赫定理
1
2Arabic (ar)
مبرهنة هان-باناخ
0
3Catalan (ca)
Teorema de Hahn-Banach
0
4Czech (cs)
Hahnova–Banachova věta
0
5German (de)
Satz von Hahn-Banach
0
6English (en)
Hahn–Banach theorem
0
7Spanish (es)
Teorema de Hahn–Banach
0
8Persian (fa)
قضیه هان–باناخ
0
9French (fr)
Théorème de Hahn-Banach
0
10Hebrew (he)
משפט האן-בנך
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 "Hahn–Banach theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Hahn–Banach theorem
518
2French (fr)
Théorème de Hahn-Banach
118
3Japanese (ja)
ハーン–バナッハの定理
86
4Chinese (zh)
哈恩-巴拿赫定理
80
5German (de)
Satz von Hahn-Banach
54
6Persian (fa)
قضیه هان–باناخ
44
7Polish (pl)
Twierdzenie Hahna-Banacha
27
8Korean (ko)
한-바나흐 정리
23
9Spanish (es)
Teorema de Hahn–Banach
21
10Hebrew (he)
משפט האן-בנך
18
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in October 2023:
English:
Global:
Popularity in all years:
English:
Global:
Authors in October 2023:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
مبرهنة هان-باناخ
caCatalan
Teorema de Hahn-Banach
csCzech
Hahnova–Banachova věta
deGerman
Satz von Hahn-Banach
enEnglish
Hahn–Banach theorem
esSpanish
Teorema de Hahn–Banach
faPersian
قضیه هان–باناخ
frFrench
Théorème de Hahn-Banach
heHebrew
משפט האן-בנך
itItalian
Teorema di Hahn-Banach
jaJapanese
ハーン–バナッハの定理
koKorean
한-바나흐 정리
nlDutch
Stelling van Hahn-Banach
plPolish
Twierdzenie Hahna-Banacha
ptPortuguese
Teorema de Hahn-Banach
ruRussian
Теорема Хана — Банаха
svSwedish
Hahn-Banachs sats
ukUkrainian
Теорема Гана — Банаха
viVietnamese
Định lý Hahn-Banach
zhChinese
哈恩-巴拿赫定理

Popularity rank trends

Best Rank English:
#121649
01.2019
Global:
#161650
01.2019

AI rank trends

Best Rank English:
#366
09.2001
Global:
#460
09.2001

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Hahn–Banach theorem from Wikipedia articles about Functional analysis, Stefan Banach, Maximum-margin hyperplane, Zorns lemma and Axiom of choice. Whereas reading the article about Hahn–Banach theorem people most often go to Wikipedia articles on Maximum-margin hyperplane, Hans Hahn, Sublinear function, M. Riesz extension theorem and Stefan Banach.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 25 June 2024

On 25 June 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: UEFA Euro 2024, Julian Assange, UEFA European Championship, UEFA Euro 2020, Shifty Shellshock, 2024 Copa América, WikiLeaks, YouTube, Inside Out 2, House of the Dragon.

In English Wikipedia the most popular articles on that day were: UEFA Euro 2024, Julian Assange, Shifty Shellshock, Florida Panthers, List of Stanley Cup champions, Paul Maurice, Connor McDavid, Matthew Tkachuk, Deaths in 2024, House of the Dragon.

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