Cramer's paradox

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Cramer's paradox

Quality:

Cramer's paradox - the statement that the number of points of intersection of two planar higher-order curves can be greater than the number of arbitrary points usually needed to define one such curve. Article “Cramer's paradox” in English Wikipedia has 27.5 points for quality (as of July 1, 2025). The article contains 8 references and 6 sections.

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

Since the creation of article “Cramer's paradox”, its content was written by 33 registered users of English Wikipedia and edited by 57 registered Wikipedia users in all languages.

The article is cited 86 times in English Wikipedia and cited 121 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #73286 in February 2024
  • Global: #252644 in February 2024

The highest popularity rank from 2008:

  • Local (English): #514970 in October 2010
  • Global: #754010 in October 2010

There are 6 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
1Greek (el)
Παράδοξο του Κράμερ
28.4937
2English (en)
Cramer's paradox
27.481
3Russian (ru)
Парадокс Крамера
25.7022
4Romanian (ro)
Paradoxul lui Cramer
20.2612
5French (fr)
Paradoxe de Cramer
12.8117
6Japanese (ja)
クラメールのパラドックス
7.9818
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 "Cramer's paradox" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Cramer's paradox
106 992
2Japanese (ja)
クラメールのパラドックス
24 406
3French (fr)
Paradoxe de Cramer
15 410
4Russian (ru)
Парадокс Крамера
4 095
5Romanian (ro)
Paradoxul lui Cramer
636
6Greek (el)
Παράδοξο του Κράμερ
259
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 "Cramer's paradox" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Cramer's paradox
889
2Japanese (ja)
クラメールのパラドックス
61
3French (fr)
Paradoxe de Cramer
48
4Russian (ru)
Парадокс Крамера
23
5Romanian (ro)
Paradoxul lui Cramer
15
6Greek (el)
Παράδοξο του Κράμερ
4
More...

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

The highest AI

Language versions of the article "Cramer's paradox" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Cramer's paradox
33
2French (fr)
Paradoxe de Cramer
12
3Russian (ru)
Парадокс Крамера
5
4Japanese (ja)
クラメールのパラドックス
4
5Greek (el)
Παράδοξο του Κράμερ
2
6Romanian (ro)
Paradoxul lui Cramer
1
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 "Cramer's paradox" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Greek (el)
Παράδοξο του Κράμερ
0
2English (en)
Cramer's paradox
0
3French (fr)
Paradoxe de Cramer
0
4Japanese (ja)
クラメールのパラドックス
0
5Romanian (ro)
Paradoxul lui Cramer
0
6Russian (ru)
Парадокс Крамера
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 "Cramer's paradox" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Cramer's paradox
86
2Japanese (ja)
クラメールのパラドックス
11
3French (fr)
Paradoxe de Cramer
10
4Russian (ru)
Парадокс Крамера
8
5Romanian (ro)
Paradoxul lui Cramer
4
6Greek (el)
Παράδοξο του Κράμερ
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
elGreek
Παράδοξο του Κράμερ
enEnglish
Cramer's paradox
frFrench
Paradoxe de Cramer
jaJapanese
クラメールのパラドックス
roRomanian
Paradoxul lui Cramer
ruRussian
Парадокс Крамера

Popularity rank trends

Best Rank English:
#514970
10.2010
Global:
#754010
10.2010

AI rank trends

Best Rank English:
#73286
02.2024
Global:
#252644
02.2024

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Cramer's paradox from Wikipedia articles about List of paradoxes, Gabriel Cramer, List of misnamed theorems, List of things named after Leonhard Euler and Cramers theorem. Whereas reading the article about Cramer's paradox people most often go to Wikipedia articles on Cramers theorem, Bézouts theorem, Gabriel Cramer, General position and List of paradoxes.

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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In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

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