リー環の指数写像

ja

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リー環の指数写像

Quality:

Exponential map - map from Lie algebra to Lie group. Article "リー環の指数写像" in Japanese Wikipedia has 7.1 points for quality (as of August 1, 2024). The article contains 0 references and 5 sections.

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

Since the creation of article "リー環の指数写像", its content was written by 5 registered users of Japanese Wikipedia and edited by 39 registered Wikipedia users in all languages.

The article is cited 33 times in Japanese Wikipedia and cited 363 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Japanese): #11068 in January 2019
  • Global: #189719 in April 2015

The highest popularity rank from 2008:

  • Local (Japanese): #370944 in June 2019
  • Global: #557829 in June 2024

There are 6 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)
Exponential map (Lie theory)
37.5764
2Spanish (es)
Aplicación exponencial (teoría de Lie)
24.7492
3Korean (ko)
리 지수 사상
15.1772
4Ukrainian (uk)
Експонента (теорія груп Лі)
11.7826
5Chinese (zh)
指數映射 (李群)
9.6943
6Japanese (ja)
リー環の指数写像
7.07
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 "リー環の指数写像" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Exponential map (Lie theory)
227 913
2Japanese (ja)
リー環の指数写像
20 617
3Chinese (zh)
指數映射 (李群)
5 657
4Spanish (es)
Aplicación exponencial (teoría de Lie)
3 671
5Korean (ko)
리 지수 사상
860
6Ukrainian (uk)
Експонента (теорія груп Лі)
658
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 "リー環の指数写像" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Exponential map (Lie theory)
2 006
2Japanese (ja)
リー環の指数写像
212
3Chinese (zh)
指數映射 (李群)
75
4Spanish (es)
Aplicación exponencial (teoría de Lie)
32
5Korean (ko)
리 지수 사상
7
6Ukrainian (uk)
Експонента (теорія груп Лі)
2
More...

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

The highest AI

Language versions of the article "リー環の指数写像" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Exponential map (Lie theory)
22
2Japanese (ja)
リー環の指数写像
5
3Chinese (zh)
指數映射 (李群)
5
4Ukrainian (uk)
Експонента (теорія груп Лі)
3
5Spanish (es)
Aplicación exponencial (teoría de Lie)
2
6Korean (ko)
리 지수 사상
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 July 2024

Language versions of the article "リー環の指数写像" with the highest AI in July 2024
#LanguageAI awardRelative AI
1English (en)
Exponential map (Lie theory)
1
2Spanish (es)
Aplicación exponencial (teoría de Lie)
0
3Japanese (ja)
リー環の指数写像
0
4Korean (ko)
리 지수 사상
0
5Ukrainian (uk)
Експонента (теорія груп Лі)
0
6Chinese (zh)
指數映射 (李群)
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 "リー環の指数写像" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Exponential map (Lie theory)
272
2Japanese (ja)
リー環の指数写像
33
3Chinese (zh)
指數映射 (李群)
21
4Spanish (es)
Aplicación exponencial (teoría de Lie)
18
5Ukrainian (uk)
Експонента (теорія груп Лі)
10
6Korean (ko)
리 지수 사상
9
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
enEnglish
Exponential map (Lie theory)
esSpanish
Aplicación exponencial (teoría de Lie)
jaJapanese
リー環の指数写像
koKorean
리 지수 사상
ukUkrainian
Експонента (теорія груп Лі)
zhChinese
指數映射 (李群)

Popularity rank trends

Best Rank Japanese:
#370944
06.2019
Global:
#557829
06.2024

AI rank trends

Best Rank Japanese:
#11068
01.2019
Global:
#189719
04.2015

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Exponential map from Wikipedia articles about Exponential map, Lie group, Matrix exponential, Exponential map and Derivative of the exponential map. Whereas reading the article about Exponential map people most often go to Wikipedia articles on Lie group, Lie algebra, One-parameter group, Derivative of the exponential map and Exponential map.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 26 December 2024

On 26 December 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: Squid Game, Boxing Day, 2004 Indian Ocean earthquake, Squid Game, season 2, Hanukkah, Azerbaijan Airlines Flight 8243, Empress Elisabeth of Austria, Nosferatu, Mufasa: The Lion King, Gladiator II.

In Japanese Wikipedia the most popular articles on that day were: 渡邊渚, 園子温, 地獄でなぜ悪い, 令和ロマン, 真由子, バッテリィズ, 源田壮亮, 南場智子, 中居正広, 中嶋優一.

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