Alternating series test

en

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Alternating series test

Quality:

Alternating series test - method used to show that an alternating series is convergent. Article "Alternating series test" in English Wikipedia has 43.4 points for quality (as of July 1, 2025). The article contains 22 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 language version.

Since the creation of article "Alternating series test", its content was written by 70 registered users of English Wikipedia and edited by 280 registered Wikipedia users in all languages.

The article is cited 212 times in English Wikipedia and cited 492 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #83726 in October 2012
  • Global: #26696 in November 2003

The highest popularity rank from 2008:

  • Local (English): #97582 in April 2018
  • Global: #113462 in April 2018

There are 17 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)
Alternating series test
43.4038
2German (de)
Leibniz-Kriterium
25.5338
3Hindi (hi)
प्रत्यावर्ती श्रेणी परीक्षण
19.4946
4Polish (pl)
Kryterium Leibniza
17.796
5Ukrainian (uk)
Теорема Лейбніца про збіжність знакозмінних рядів
15.2773
6Chinese (zh)
交错级数判别法
14.249
7Croatian (hr)
Leibnizov kriterij
13.83
8Vietnamese (vi)
Tiêu chuẩn Leibniz
10.1345
9Italian (it)
Criterio di Leibniz
9.3863
10Dutch (nl)
Kenmerk van Leibniz
7.4113
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 "Alternating series test" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Alternating series test
759 501
2German (de)
Leibniz-Kriterium
598 349
3Italian (it)
Criterio di Leibniz
184 061
4Spanish (es)
Criterio de Leibniz
143 268
5Portuguese (pt)
Teste da série alternada
101 293
6Chinese (zh)
交错级数判别法
94 611
7Polish (pl)
Kryterium Leibniza
63 775
8Vietnamese (vi)
Tiêu chuẩn Leibniz
42 276
9Ukrainian (uk)
Теорема Лейбніца про збіжність знакозмінних рядів
34 492
10Romanian (ro)
Criteriul seriilor alternate (Leibniz)
23 890
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 "Alternating series test" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Alternating series test
1 806
2German (de)
Leibniz-Kriterium
921
3Polish (pl)
Kryterium Leibniza
626
4Chinese (zh)
交错级数判别法
523
5Vietnamese (vi)
Tiêu chuẩn Leibniz
433
6Italian (it)
Criterio di Leibniz
422
7Spanish (es)
Criterio de Leibniz
386
8Portuguese (pt)
Teste da série alternada
181
9Ukrainian (uk)
Теорема Лейбніца про збіжність знакозмінних рядів
160
10Romanian (ro)
Criteriul seriilor alternate (Leibniz)
48
More...

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

The highest AI

Language versions of the article "Alternating series test" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Alternating series test
70
2German (de)
Leibniz-Kriterium
67
3Italian (it)
Criterio di Leibniz
25
4Vietnamese (vi)
Tiêu chuẩn Leibniz
17
5Polish (pl)
Kryterium Leibniza
16
6Spanish (es)
Criterio de Leibniz
13
7Ukrainian (uk)
Теорема Лейбніца про збіжність знакозмінних рядів
11
8Chinese (zh)
交错级数判别法
11
9Turkish (tr)
Almaşık seri testi
10
10Portuguese (pt)
Teste da série alternada
9
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 "Alternating series test" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Catalan (ca)
Criteri de Leibniz
0
2German (de)
Leibniz-Kriterium
0
3English (en)
Alternating series test
0
4Esperanto (eo)
Alterna seria provo
0
5Spanish (es)
Criterio de Leibniz
0
6Hindi (hi)
प्रत्यावर्ती श्रेणी परीक्षण
0
7Croatian (hr)
Leibnizov kriterij
0
8Italian (it)
Criterio di Leibniz
0
9Dutch (nl)
Kenmerk van Leibniz
0
10Polish (pl)
Kryterium Leibniza
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 "Alternating series test" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Alternating series test
212
2Ukrainian (uk)
Теорема Лейбніца про збіжність знакозмінних рядів
93
3Portuguese (pt)
Teste da série alternada
62
4Vietnamese (vi)
Tiêu chuẩn Leibniz
43
5German (de)
Leibniz-Kriterium
18
6Italian (it)
Criterio di Leibniz
12
7Chinese (zh)
交错级数判别法
12
8Spanish (es)
Criterio de Leibniz
9
9Polish (pl)
Kryterium Leibniza
6
10Swedish (sv)
Leibnizserie
6
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
caCatalan
Criteri de Leibniz
deGerman
Leibniz-Kriterium
enEnglish
Alternating series test
eoEsperanto
Alterna seria provo
esSpanish
Criterio de Leibniz
hiHindi
प्रत्यावर्ती श्रेणी परीक्षण
hrCroatian
Leibnizov kriterij
itItalian
Criterio di Leibniz
nlDutch
Kenmerk van Leibniz
plPolish
Kryterium Leibniza
ptPortuguese
Teste da série alternada
roRomanian
Criteriul seriilor alternate (Leibniz)
svSwedish
Leibnizserie
trTurkish
Almaşık seri testi
ukUkrainian
Теорема Лейбніца про збіжність знакозмінних рядів
viVietnamese
Tiêu chuẩn Leibniz
zhChinese
交错级数判别法

Popularity rank trends

Best Rank English:
#97582
04.2018
Global:
#113462
04.2018

AI rank trends

Best Rank English:
#83726
10.2012
Global:
#26696
11.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Alternating series test from Wikipedia articles about Convergence test, Alternating series, Harmonic series, Gottfried Wilhelm Leibniz and Leibniz formula for π. Whereas reading the article about Alternating series test people most often go to Wikipedia articles on Dirichlets test, Alternating series, Gottfried Wilhelm Leibniz, Monotonic function and Agnews 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 12 August 2025

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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