Engel expansion

en

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Engel expansion

Quality:

Engel expansion - decomposition of a positive real number into a series of unit fractions, each an integer multiple of the next one. Article “Engel expansion” in English Wikipedia has 29.2 points for quality (as of July 1, 2025). The article contains 5 references and 15 sections.

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

Since the creation of article “Engel expansion”, its content was written by 33 registered users of English Wikipedia and edited by 124 registered Wikipedia users in all languages.

The article is cited 15 times in English Wikipedia and cited 65 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #113121 in September 2006
  • Global: #106519 in July 2008

The highest popularity rank from 2008:

  • Local (English): #847713 in November 2008
  • Global: #969976 in November 2008

There are 12 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
1English (en)
Engel expansion
29.1627
2Ukrainian (uk)
Розклад Енгеля
21.5568
3French (fr)
Développement en série de Engel
21.3087
4Slovenian (sl)
Engelov razvoj
17.0227
5Russian (ru)
Разложение Энгеля
17.0133
6Spanish (es)
Expansión de Engel
15.9553
7Galician (gl)
Expansión de Engel
12.9598
8Dutch (nl)
Engel-expansie
11.1332
9German (de)
Engel-Entwicklung
10.2655
10Chinese (zh)
恩格尔展开式
9.2528
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 "Engel expansion" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Engel expansion
64 995
2French (fr)
Développement en série de Engel
25 886
3Chinese (zh)
恩格尔展开式
9 334
4Russian (ru)
Разложение Энгеля
5 283
5Italian (it)
Espansione di Engel
4 398
6Spanish (es)
Expansión de Engel
4 384
7German (de)
Engel-Entwicklung
4 170
8Persian (fa)
بسط انگل
4 084
9Slovenian (sl)
Engelov razvoj
1 991
10Dutch (nl)
Engel-expansie
1 400
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 "Engel expansion" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Engel expansion
353
2French (fr)
Développement en série de Engel
89
3Chinese (zh)
恩格尔展开式
70
4Russian (ru)
Разложение Энгеля
21
5German (de)
Engel-Entwicklung
13
6Slovenian (sl)
Engelov razvoj
12
7Spanish (es)
Expansión de Engel
8
8Galician (gl)
Expansión de Engel
8
9Persian (fa)
بسط انگل
6
10Ukrainian (uk)
Розклад Енгеля
5
More...

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

The highest AI

Language versions of the article "Engel expansion" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Engel expansion
33
2French (fr)
Développement en série de Engel
28
3German (de)
Engel-Entwicklung
15
4Italian (it)
Espansione di Engel
12
5Chinese (zh)
恩格尔展开式
8
6Spanish (es)
Expansión de Engel
6
7Persian (fa)
بسط انگل
6
8Ukrainian (uk)
Розклад Енгеля
6
9Russian (ru)
Разложение Энгеля
5
10Dutch (nl)
Engel-expansie
3
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 "Engel expansion" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Engel-Entwicklung
0
2English (en)
Engel expansion
0
3Spanish (es)
Expansión de Engel
0
4Persian (fa)
بسط انگل
0
5French (fr)
Développement en série de Engel
0
6Galician (gl)
Expansión de Engel
0
7Italian (it)
Espansione di Engel
0
8Dutch (nl)
Engel-expansie
0
9Russian (ru)
Разложение Энгеля
0
10Slovenian (sl)
Engelov razvoj
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 "Engel expansion" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1French (fr)
Développement en série de Engel
19
2English (en)
Engel expansion
15
3German (de)
Engel-Entwicklung
6
4Chinese (zh)
恩格尔展开式
6
5Dutch (nl)
Engel-expansie
4
6Spanish (es)
Expansión de Engel
3
7Galician (gl)
Expansión de Engel
3
8Russian (ru)
Разложение Энгеля
3
9Persian (fa)
بسط انگل
2
10Italian (it)
Espansione di Engel
2
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
deGerman
Engel-Entwicklung
enEnglish
Engel expansion
esSpanish
Expansión de Engel
faPersian
بسط انگل
frFrench
Développement en série de Engel
glGalician
Expansión de Engel
itItalian
Espansione di Engel
nlDutch
Engel-expansie
ruRussian
Разложение Энгеля
slSlovenian
Engelov razvoj
ukUkrainian
Розклад Енгеля
zhChinese
恩格尔展开式

Popularity rank trends

Best Rank English:
#847713
11.2008
Global:
#969976
11.2008

AI rank trends

Best Rank English:
#113121
09.2006
Global:
#106519
07.2008

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Engel expansion from Wikipedia articles about Primorial, Eulers continued fraction formula, Continued fraction, Egyptian fraction and Riemann zeta function. Whereas reading the article about Engel expansion people most often go to Wikipedia articles on Eulers continued fraction formula, Egyptian fraction, Sylvesters sequence, Friedrich Engel and Greedy algorithm for Egyptian fractions.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 15 February 2026

On 15 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Wuthering Heights, 2026 Winter Olympics, Epstein files, Ilia Malinin, Wuthering Heights, Ghislaine Maxwell, Lucas Pinheiro Braathen, 2026 Winter Olympics medal table, Valentine's Day.

In English Wikipedia the most popular articles on that day were: Jeffrey Epstein, Wuthering Heights, Wuthering Heights (2026 film), 2026 Winter Olympics, Lucas Pinheiro Braathen, Ice hockey at the 2026 Winter Olympics – Men's tournament, Epstein files, John F. Kennedy Jr., Anthony Kim, James Van Der Beek.

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