Riemann sum

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Riemann sum

Quality:

Riemann sum - approximation technique in integral calculus. Article “Riemann sum” in Simple English Wikipedia has 8.6 points for quality (as of July 1, 2025). The article contains 0 references and 2 sections.

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

Since the creation of article “Riemann sum”, its content was written by 13 registered users of Simple English Wikipedia and edited by 359 registered Wikipedia users in all languages.

The article is cited 5 times in Simple English Wikipedia and cited 392 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Simple English): #502 in January 2021
  • Global: #24239 in March 2003

The highest popularity rank from 2008:

  • Local (Simple English): #1377 in June 2009
  • Global: #36179 in April 2015

There are 18 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
1Indonesian (id)
Jumlah Riemann
61.1901
2English (en)
Riemann sum
53.9543
3Czech (cs)
Riemannův součet
43.72
4Turkish (tr)
Riemann toplamı
40.9685
5Portuguese (pt)
Soma de Riemann
34.5827
6Vietnamese (vi)
Tổng Riemann
33.8515
7Spanish (es)
Suma de Riemann
24.0928
8Arabic (ar)
مجموع ريمان
19.3468
9Catalan (ca)
Sumatori de Riemann
18.0926
10French (fr)
Somme de Riemann
16.1674
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 "Riemann sum" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Riemann sum
3 652 231
2Spanish (es)
Suma de Riemann
1 273 034
3French (fr)
Somme de Riemann
495 346
4Portuguese (pt)
Soma de Riemann
128 890
5Korean (ko)
리만 합
115 345
6Turkish (tr)
Riemann toplamı
85 046
7Russian (ru)
Сумма Римана
46 368
8Vietnamese (vi)
Tổng Riemann
44 460
9Arabic (ar)
مجموع ريمان
27 989
10Swedish (sv)
Riemannsumma
26 252
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 "Riemann sum" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Riemann sum
7 768
2French (fr)
Somme de Riemann
1 586
3Spanish (es)
Suma de Riemann
1 495
4Korean (ko)
리만 합
1 236
5Simple English (simple)
Riemann sum
431
6Turkish (tr)
Riemann toplamı
425
7Russian (ru)
Сумма Римана
411
8Portuguese (pt)
Soma de Riemann
318
9Japanese (ja)
リーマン和
316
10Vietnamese (vi)
Tổng Riemann
188
More...

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

The highest AI

Language versions of the article "Riemann sum" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Riemann sum
163
2French (fr)
Somme de Riemann
50
3Spanish (es)
Suma de Riemann
33
4Turkish (tr)
Riemann toplamı
16
5Korean (ko)
리만 합
13
6Simple English (simple)
Riemann sum
13
7Portuguese (pt)
Soma de Riemann
12
8Vietnamese (vi)
Tổng Riemann
9
9Arabic (ar)
مجموع ريمان
7
10Japanese (ja)
リーマン和
7
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 "Riemann sum" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Vietnamese (vi)
Tổng Riemann
2
2Arabic (ar)
مجموع ريمان
0
3Catalan (ca)
Sumatori de Riemann
0
4Czech (cs)
Riemannův součet
0
5English (en)
Riemann sum
0
6Esperanto (eo)
Sumo de Riemann
0
7Spanish (es)
Suma de Riemann
0
8Basque (eu)
Riemannen batura
0
9French (fr)
Somme de Riemann
0
10Indonesian (id)
Jumlah Riemann
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 "Riemann sum" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Riemann sum
117
2Catalan (ca)
Sumatori de Riemann
62
3French (fr)
Somme de Riemann
50
4Korean (ko)
리만 합
41
5Japanese (ja)
リーマン和
15
6Turkish (tr)
Riemann toplamı
14
7Spanish (es)
Suma de Riemann
12
8Portuguese (pt)
Soma de Riemann
12
9Czech (cs)
Riemannův součet
9
10Indonesian (id)
Jumlah Riemann
9
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
arArabic
مجموع ريمان
caCatalan
Sumatori de Riemann
csCzech
Riemannův součet
enEnglish
Riemann sum
eoEsperanto
Sumo de Riemann
esSpanish
Suma de Riemann
euBasque
Riemannen batura
frFrench
Somme de Riemann
idIndonesian
Jumlah Riemann
jaJapanese
リーマン和
koKorean
리만 합
ptPortuguese
Soma de Riemann
ruRussian
Сумма Римана
simpleSimple English
Riemann sum
svSwedish
Riemannsumma
trTurkish
Riemann toplamı
ukUkrainian
Сума Рімана
viVietnamese
Tổng Riemann

Popularity rank trends

Best Rank Simple English:
#1377
06.2009
Global:
#36179
04.2015

AI rank trends

Best Rank Simple English:
#502
01.2021
Global:
#24239
03.2003

Local popularity rank history

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Riemann sum from Wikipedia articles about Riemann integral, Trapezoidal rule, Numerical integration, Integral and Midpoint methods. Whereas reading the article about Riemann sum people most often go to Wikipedia articles on Riemann integral, Bernhard Riemann, Trapezoidal rule, Simpsons rule and Fundamental theorem of calculus.

Cumulative results of quality and popularity of the Wikipedia article

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

simple: Riemann sum

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 Simple English Wikipedia the most popular articles on that day were: XXXTentacion, Black, List of European countries, Jeffrey Epstein, Vitruvian Man, Golden Edge, Jacqueline Kennedy Onassis, List of countries, Manon Bannerman, Megan Skiendiel.

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