Radon–Nikodym theorem

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Radon–Nikodym theorem

Quality:

Radon–Nikodym theorem - fundamental result in measure theory that expresses the relationship between two measures defined on the same measurable space. Article "Radon–Nikodym theorem" in English Wikipedia has 32.9 points for quality (as of July 1, 2025). The article contains 7 references and 21 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 "Radon–Nikodym theorem", its content was written by 92 registered users of English Wikipedia and edited by 300 registered Wikipedia users in all languages.

The article is cited 237 times in English Wikipedia and cited 525 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #4262 in January 2004
  • Global: #14719 in January 2004

The highest popularity rank from 2008:

  • Local (English): #134140 in October 2024
  • Global: #176292 in October 2024

There are 15 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)
Radon–Nikodym theorem
32.9223
2Turkish (tr)
Radon-Nikodym teoremi
27.1769
3German (de)
Satz von Radon-Nikodým
20.1936
4Hebrew (he)
משפט רדון־ניקודים
18.268
5Catalan (ca)
Teorema de Radon–Nikodym
14.6413
6Polish (pl)
Twierdzenie Radona-Nikodýma
14.5562
7Ukrainian (uk)
Теорема Радона — Нікодима
13.675
8Japanese (ja)
ラドン=ニコディムの定理
13.3838
9Italian (it)
Teorema di Radon-Nikodym
13.2472
10Chinese (zh)
拉东-尼科迪姆定理
12.6832
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 "Radon–Nikodym theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Radon–Nikodym theorem
1 143 711
2German (de)
Satz von Radon-Nikodým
161 781
3French (fr)
Théorème de Radon-Nikodym-Lebesgue
118 734
4Russian (ru)
Теорема Радона — Никодима
68 734
5Japanese (ja)
ラドン=ニコディムの定理
64 372
6Italian (it)
Teorema di Radon-Nikodym
50 013
7Spanish (es)
Teorema de Radon–Nikodym
47 005
8Polish (pl)
Twierdzenie Radona-Nikodýma
41 546
9Chinese (zh)
拉东-尼科迪姆定理
25 574
10Hebrew (he)
משפט רדון־ניקודים
5 673
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 "Radon–Nikodym theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Radon–Nikodym theorem
7 002
2French (fr)
Théorème de Radon-Nikodym-Lebesgue
544
3Japanese (ja)
ラドン=ニコディムの定理
542
4Russian (ru)
Теорема Радона — Никодима
447
5German (de)
Satz von Radon-Nikodým
429
6Spanish (es)
Teorema de Radon–Nikodym
264
7Italian (it)
Teorema di Radon-Nikodym
195
8Polish (pl)
Twierdzenie Radona-Nikodýma
147
9Chinese (zh)
拉东-尼科迪姆定理
130
10Hebrew (he)
משפט רדון־ניקודים
45
More...

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

The highest AI

Language versions of the article "Radon–Nikodym theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Radon–Nikodym theorem
92
2German (de)
Satz von Radon-Nikodým
45
3French (fr)
Théorème de Radon-Nikodym-Lebesgue
42
4Russian (ru)
Теорема Радона — Никодима
23
5Italian (it)
Teorema di Radon-Nikodym
22
6Polish (pl)
Twierdzenie Radona-Nikodýma
18
7Japanese (ja)
ラドン=ニコディムの定理
17
8Swedish (sv)
Radon-Nikodyms sats
7
9Ukrainian (uk)
Теорема Радона — Нікодима
7
10Spanish (es)
Teorema de Radon–Nikodym
6
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 "Radon–Nikodym theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Catalan (ca)
Teorema de Radon–Nikodym
0
2German (de)
Satz von Radon-Nikodým
0
3English (en)
Radon–Nikodym theorem
0
4Spanish (es)
Teorema de Radon–Nikodym
0
5Finnish (fi)
Radonin–Nikodymin lause
0
6French (fr)
Théorème de Radon-Nikodym-Lebesgue
0
7Hebrew (he)
משפט רדון־ניקודים
0
8Italian (it)
Teorema di Radon-Nikodym
0
9Japanese (ja)
ラドン=ニコディムの定理
0
10Polish (pl)
Twierdzenie Radona-Nikodýma
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 "Radon–Nikodym theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Radon–Nikodym theorem
237
2German (de)
Satz von Radon-Nikodým
53
3Russian (ru)
Теорема Радона — Никодима
52
4French (fr)
Théorème de Radon-Nikodym-Lebesgue
42
5Japanese (ja)
ラドン=ニコディムの定理
35
6Spanish (es)
Teorema de Radon–Nikodym
21
7Italian (it)
Teorema di Radon-Nikodym
17
8Hebrew (he)
משפט רדון־ניקודים
14
9Ukrainian (uk)
Теорема Радона — Нікодима
13
10Chinese (zh)
拉东-尼科迪姆定理
13
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
Teorema de Radon–Nikodym
deGerman
Satz von Radon-Nikodým
enEnglish
Radon–Nikodym theorem
esSpanish
Teorema de Radon–Nikodym
fiFinnish
Radonin–Nikodymin lause
frFrench
Théorème de Radon-Nikodym-Lebesgue
heHebrew
משפט רדון־ניקודים
itItalian
Teorema di Radon-Nikodym
jaJapanese
ラドン=ニコディムの定理
plPolish
Twierdzenie Radona-Nikodýma
ruRussian
Теорема Радона — Никодима
svSwedish
Radon-Nikodyms sats
trTurkish
Radon-Nikodym teoremi
ukUkrainian
Теорема Радона — Нікодима
zhChinese
拉东-尼科迪姆定理

Popularity rank trends

Best Rank English:
#134140
10.2024
Global:
#176292
10.2024

AI rank trends

Best Rank English:
#4262
01.2004
Global:
#14719
01.2004

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Radon–Nikodym theorem from Wikipedia articles about Absolute continuity, Probability density function, Kullback–Leibler divergence, Girsanov theorem and Conditional expectation. Whereas reading the article about Radon–Nikodym theorem people most often go to Wikipedia articles on Absolute continuity, Girsanov theorem, Otto M. Nikodym, Johann Radon and σ-finite measure.

Cumulative results of quality and popularity of the Wikipedia article

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

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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