Stone's theorem on one-parameter unitary groups

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Stone's theorem on one-parameter unitary groups

Quality:

Stone's theorem on one-parameter unitary groups - theorem relating unitary operators to one-parameter Lie groups. Article “Stone's theorem on one-parameter unitary groups” in English Wikipedia has 14.9 points for quality (as of July 1, 2025). The article contains 1 references and 7 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 “Stone's theorem on one-parameter unitary groups”, its content was written by 38 registered users of English Wikipedia and edited by 45 registered Wikipedia users in all languages.

The article is cited 24 times in English Wikipedia and cited 39 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #87443 in November 2004
  • Global: #158740 in November 2004

The highest popularity rank from 2008:

  • Local (English): #666104 in April 2011
  • Global: #1125704 in April 2011

There are 3 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
1Chinese (zh)
单参数酉群的斯通定理
18.5157
2English (en)
Stone's theorem on one-parameter unitary groups
14.9177
3Russian (ru)
Теорема Стоуна о группах унитарных операторов в гильбертовом пространстве
1.3949
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 "Stone's theorem on one-parameter unitary groups" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Stone's theorem on one-parameter unitary groups
132 903
2Russian (ru)
Теорема Стоуна о группах унитарных операторов в гильбертовом пространстве
4 411
3Chinese (zh)
单参数酉群的斯通定理
687
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 "Stone's theorem on one-parameter unitary groups" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Stone's theorem on one-parameter unitary groups
957
2Russian (ru)
Теорема Стоуна о группах унитарных операторов в гильбертовом пространстве
31
3Chinese (zh)
单参数酉群的斯通定理
31
More...

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

The highest AI

Language versions of the article "Stone's theorem on one-parameter unitary groups" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Stone's theorem on one-parameter unitary groups
38
2Russian (ru)
Теорема Стоуна о группах унитарных операторов в гильбертовом пространстве
6
3Chinese (zh)
单参数酉群的斯通定理
1
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 "Stone's theorem on one-parameter unitary groups" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Stone's theorem on one-parameter unitary groups
0
2Russian (ru)
Теорема Стоуна о группах унитарных операторов в гильбертовом пространстве
0
3Chinese (zh)
单参数酉群的斯通定理
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 "Stone's theorem on one-parameter unitary groups" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Stone's theorem on one-parameter unitary groups
24
2Chinese (zh)
单参数酉群的斯通定理
8
3Russian (ru)
Теорема Стоуна о группах унитарных операторов в гильбертовом пространстве
7
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
Stone's theorem on one-parameter unitary groups
ruRussian
Теорема Стоуна о группах унитарных операторов в гильбертовом пространстве
zhChinese
单参数酉群的斯通定理

Popularity rank trends

Best Rank English:
#666104
04.2011
Global:
#1125704
04.2011

AI rank trends

Best Rank English:
#87443
11.2004
Global:
#158740
11.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Stone's theorem on one-parameter unitary groups from Wikipedia articles about Stones theorem, Stone–von Neumann theorem, Schrödinger equation, Hille–Yosida theorem and One-parameter group. Whereas reading the article about Stone's theorem on one-parameter unitary groups people most often go to Wikipedia articles on Stone–von Neumann theorem, Hille–Yosida theorem, Compact operator, Strong operator topology and Marshall Harvey Stone.

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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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