Closed range theorem

en

WikiRank.net
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Closed range theorem

Quality:

Closed range theorem - theorem. Article "Closed range theorem" in English Wikipedia has 7.1 points for quality (as of August 1, 2024). The article contains 0 references and 4 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

In July 2024 the article "Closed range theorem" was edited by 1 authors in English Wikipedia and written by 2 authors in all languages.

Since the creation of article "Closed range theorem", its content was written by 15 registered users of English Wikipedia and edited by 37 registered Wikipedia users in all languages.

The article is cited 73 times in English Wikipedia and cited 206 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #187294 in July 2009
  • Global: #200204 in August 2012

The highest popularity rank from 2008:

  • Local (English): #850239 in March 2017
  • Global: #1004065 in December 2008

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 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
1English (en)
Closed range theorem
7.085
2German (de)
Satz vom abgeschlossenen Bild
5.3767
3Chinese (zh)
闭值域定理
4.2878
4Japanese (ja)
閉値域の定理
1.7309
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 "Closed range theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Closed range theorem
88 148
2German (de)
Satz vom abgeschlossenen Bild
19 546
3Japanese (ja)
閉値域の定理
4 092
4Chinese (zh)
闭值域定理
4 067
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 "Closed range theorem" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Closed range theorem
366
2German (de)
Satz vom abgeschlossenen Bild
52
3Japanese (ja)
閉値域の定理
48
4Chinese (zh)
闭值域定理
35
More...

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

The highest AI

Language versions of the article "Closed range theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Closed range theorem
15
2German (de)
Satz vom abgeschlossenen Bild
12
3Japanese (ja)
閉値域の定理
5
4Chinese (zh)
闭值域定理
5
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 "Closed range theorem" with the highest AI in July 2024
#LanguageAI awardRelative AI
1English (en)
Closed range theorem
1
2Chinese (zh)
闭值域定理
1
3German (de)
Satz vom abgeschlossenen Bild
0
4Japanese (ja)
閉値域の定理
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 "Closed range theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Chinese (zh)
闭值域定理
86
2English (en)
Closed range theorem
73
3Japanese (ja)
閉値域の定理
45
4German (de)
Satz vom abgeschlossenen Bild
2
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
deGerman
Satz vom abgeschlossenen Bild
enEnglish
Closed range theorem
jaJapanese
閉値域の定理
zhChinese
闭值域定理

Popularity rank trends

Best Rank English:
#850239
03.2017
Global:
#1004065
12.2008

AI rank trends

Best Rank English:
#187294
07.2009
Global:
#200204
08.2012

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Closed range theorem from Wikipedia articles about Stefan Banach, Rank–nullity theorem, Fundamental theorem of linear algebra, Unbounded operator and Open mapping theorem. Whereas reading the article about Closed range theorem people most often go to Wikipedia articles on Unbounded operator, Range of a function, Closed set, Densely defined operator and Closed graph theorem.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 8 July 2025

On 8 July 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Diogo Jota, João Pedro, Ozzy Osbourne, Laura Siegemund, Aryna Sabalenka, Julian McMahon, Jurassic World Rebirth, 2025 FIFA Club World Cup, Amanda Anisimova, F1.

In English Wikipedia the most popular articles on that day were: Superman (2025 film), João Pedro (footballer, born 2001), Untitled Jurassic World film, Aryna Sabalenka, Laura Siegemund, Ozzy Osbourne, Amanda Anisimova, Jeffrey Epstein, Cameron Norrie, Deaths in 2025.

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