哈特格斯数

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哈特格斯数

Quality:

Hartogs number - given a set, the least ordinal such that there is no injection from the ordinal into the set. Article “哈特格斯数” in Chinese Wikipedia has 8.6 points for quality (as of July 1, 2025). The article contains 0 references and 4 sections.

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

In June 2025 the article “哈特格斯数” was edited by 1 authors in Chinese Wikipedia and written by 2 authors in all languages.

Since the creation of article “哈特格斯数”, its content was written by 2 registered users of Chinese Wikipedia and edited by 118 registered Wikipedia users in all languages.

The article is cited 3 times in Chinese Wikipedia and cited 148 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Chinese): #16783 in October 2024
  • Global: #102610 in March 2011

The highest popularity rank from 2008:

  • Local (Chinese): #294974 in March 2023
  • Global: #1006694 in December 2008

There are 10 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
1French (fr)
Ordinal de Hartogs
17.762
2Korean (ko)
하르톡스 수
15.7154
3English (en)
Hartogs number
9.1906
4Chinese (zh)
哈特格斯数
8.6229
5Polish (pl)
Twierdzenie Hartogsa (teoria mnogości)
8.5732
6Portuguese (pt)
Número de Hartogs
5.5454
7German (de)
Satz von Hartogs (Mengenlehre)
4.5264
8Hebrew (he)
מספר הרטוגס
4.251
9Spanish (es)
Número de Hartogs
3.797
10Japanese (ja)
ハルトークス数
2.0312
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 "哈特格斯数" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Hartogs number
78 013
2French (fr)
Ordinal de Hartogs
14 596
3Polish (pl)
Twierdzenie Hartogsa (teoria mnogości)
13 485
4German (de)
Satz von Hartogs (Mengenlehre)
6 595
5Japanese (ja)
ハルトークス数
6 034
6Korean (ko)
하르톡스 수
5 545
7Spanish (es)
Número de Hartogs
4 294
8Hebrew (he)
מספר הרטוגס
4 010
9Chinese (zh)
哈特格斯数
1 389
10Portuguese (pt)
Número de Hartogs
1 320
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 "哈特格斯数" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Hartogs number
968
2Japanese (ja)
ハルトークス数
63
3French (fr)
Ordinal de Hartogs
52
4Chinese (zh)
哈特格斯数
34
5Hebrew (he)
מספר הרטוגס
29
6Spanish (es)
Número de Hartogs
26
7Polish (pl)
Twierdzenie Hartogsa (teoria mnogości)
26
8Korean (ko)
하르톡스 수
21
9German (de)
Satz von Hartogs (Mengenlehre)
15
10Portuguese (pt)
Número de Hartogs
7
More...

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

The highest AI

Language versions of the article "哈特格斯数" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Hartogs number
40
2French (fr)
Ordinal de Hartogs
21
3German (de)
Satz von Hartogs (Mengenlehre)
16
4Hebrew (he)
מספר הרטוגס
15
5Spanish (es)
Número de Hartogs
6
6Portuguese (pt)
Número de Hartogs
6
7Polish (pl)
Twierdzenie Hartogsa (teoria mnogości)
5
8Japanese (ja)
ハルトークス数
4
9Korean (ko)
하르톡스 수
3
10Chinese (zh)
哈特格斯数
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 "哈特格斯数" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Hartogs number
1
2Chinese (zh)
哈特格斯数
1
3German (de)
Satz von Hartogs (Mengenlehre)
0
4Spanish (es)
Número de Hartogs
0
5French (fr)
Ordinal de Hartogs
0
6Hebrew (he)
מספר הרטוגס
0
7Japanese (ja)
ハルトークス数
0
8Korean (ko)
하르톡스 수
0
9Polish (pl)
Twierdzenie Hartogsa (teoria mnogości)
0
10Portuguese (pt)
Número de Hartogs
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 "哈特格斯数" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Korean (ko)
하르톡스 수
83
2English (en)
Hartogs number
18
3French (fr)
Ordinal de Hartogs
18
4Japanese (ja)
ハルトークス数
7
5Polish (pl)
Twierdzenie Hartogsa (teoria mnogości)
7
6German (de)
Satz von Hartogs (Mengenlehre)
5
7Spanish (es)
Número de Hartogs
3
8Hebrew (he)
מספר הרטוגס
3
9Chinese (zh)
哈特格斯数
3
10Portuguese (pt)
Número de Hartogs
1
More...

Scores

Estimated value for Wikipedia:
Chinese:
Global:
Popularity in June 2025:
Chinese:
Global:
Popularity in all years:
Chinese:
Global:
Authors in June 2025:
Chinese:
Global:
Registered authors in all years:
Chinese:
Global:
Citations:
Chinese:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Satz von Hartogs (Mengenlehre)
enEnglish
Hartogs number
esSpanish
Número de Hartogs
frFrench
Ordinal de Hartogs
heHebrew
מספר הרטוגס
jaJapanese
ハルトークス数
koKorean
하르톡스 수
plPolish
Twierdzenie Hartogsa (teoria mnogości)
ptPortuguese
Número de Hartogs
zhChinese
哈特格斯数

Popularity rank trends

Best Rank Chinese:
#294974
03.2023
Global:
#1006694
12.2008

AI rank trends

Best Rank Chinese:
#16783
10.2024
Global:
#102610
03.2011

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Hartogs number from Wikipedia articles about First uncountable ordinal, Cardinal number, Bourbaki–Witt theorem, Hartogs extension theorem and Cardinality. Whereas reading the article about Hartogs number people most often go to Wikipedia articles on Ordinal number, Friedrich Hartogs, Hartogs theorem, Axiom schema of replacement and Successor cardinal operation.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 12 August 2025

On 12 August 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Cristiano Ronaldo, Wednesday, Georgina Rodríguez, ChatGPT, Weapons, Jenna Ortega, deaths in 2025, Taylor Swift, Miguel Uribe Turbay, 2025–26 UEFA Champions League.

In Chinese Wikipedia the most popular articles on that day were: 朱由𣜬, 林岱樺, 林逸欣, 江油未成年人欺凌事件, 鬼滅之刃, 黃士修, 鬼滅之刃角色列表, 锦月如歌, 2025年亞洲盃籃球賽, 鬼滅之刃劇場版 無限城篇.

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