Pairing function

en

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Pairing function

Quality:

Pairing function - function which encodes two natural numbers into a single natural number. Article “Pairing function” in English Wikipedia has 47.6 points for quality (as of July 1, 2026). The article contains 23 references and 14 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 2.51 points.

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 “Pairing function”, its content was written by 60 registered users of English Wikipedia and edited by 217 registered Wikipedia users in all languages.

The article is cited 29 times in English Wikipedia and cited 117 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #34246 in August 2021
  • Global: #14071 in September 2004

The highest popularity rank from 2008:

  • Local (English): #277714 in November 2020
  • Global: #337618 in November 2020

There are 11 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, 2026 (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)
Pairing function
47.6201
2German (de)
Cantorsche Paarungsfunktion
29.7732
3Croatian (hr)
Cantorova funkcija uparivanja
24.5052
4French (fr)
Fonction de couplage
16.164
5Ukrainian (uk)
Нумерація Кантора
15.6304
6Chinese (zh)
配对函数
9.0245
7Polish (pl)
Funkcja pary
7.5091
8Japanese (ja)
対関数
7.149
9Hebrew (he)
פונקציית זיווג
7.0788
10Italian (it)
Funzione coppia
6.171
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 "Pairing function" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Pairing function
463 441
2German (de)
Cantorsche Paarungsfunktion
121 418
3Japanese (ja)
対関数
19 246
4Hebrew (he)
פונקציית זיווג
15 393
5Chinese (zh)
配对函数
15 269
6French (fr)
Fonction de couplage
11 616
7Italian (it)
Funzione coppia
9 677
8Ukrainian (uk)
Нумерація Кантора
9 503
9Polish (pl)
Funkcja pary
6 897
10Dutch (nl)
Paringsfunctie
1 930
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2026

The most popular language versions of the article "Pairing function" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Pairing function
1 730
2German (de)
Cantorsche Paarungsfunktion
202
3Japanese (ja)
対関数
86
4French (fr)
Fonction de couplage
63
5Chinese (zh)
配对函数
46
6Croatian (hr)
Cantorova funkcija uparivanja
34
7Italian (it)
Funzione coppia
32
8Hebrew (he)
פונקציית זיווג
16
9Polish (pl)
Funkcja pary
14
10Ukrainian (uk)
Нумерація Кантора
7
More...

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

The highest AI

Language versions of the article "Pairing function" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1German (de)
Cantorsche Paarungsfunktion
78
2English (en)
Pairing function
60
3Italian (it)
Funzione coppia
21
4Hebrew (he)
פונקציית זיווג
12
5French (fr)
Fonction de couplage
9
6Polish (pl)
Funkcja pary
8
7Japanese (ja)
対関数
7
8Ukrainian (uk)
Нумерація Кантора
7
9Chinese (zh)
配对函数
7
10Dutch (nl)
Paringsfunctie
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 2026

Language versions of the article "Pairing function" with the highest AI in June 2026
#LanguageAI awardRelative AI
1Croatian (hr)
Cantorova funkcija uparivanja
2
2German (de)
Cantorsche Paarungsfunktion
1
3English (en)
Pairing function
0
4French (fr)
Fonction de couplage
0
5Hebrew (he)
פונקציית זיווג
0
6Italian (it)
Funzione coppia
0
7Japanese (ja)
対関数
0
8Dutch (nl)
Paringsfunctie
0
9Polish (pl)
Funkcja pary
0
10Ukrainian (uk)
Нумерація Кантора
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 "Pairing function" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Hebrew (he)
פונקציית זיווג
54
2English (en)
Pairing function
29
3German (de)
Cantorsche Paarungsfunktion
15
4Chinese (zh)
配对函数
6
5Japanese (ja)
対関数
5
6French (fr)
Fonction de couplage
3
7Ukrainian (uk)
Нумерація Кантора
3
8Italian (it)
Funzione coppia
2
9Croatian (hr)
Cantorova funkcija uparivanja
0
10Dutch (nl)
Paringsfunctie
0
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2026:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2026:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Cantorsche Paarungsfunktion
enEnglish
Pairing function
frFrench
Fonction de couplage
heHebrew
פונקציית זיווג
hrCroatian
Cantorova funkcija uparivanja
itItalian
Funzione coppia
jaJapanese
対関数
nlDutch
Paringsfunctie
plPolish
Funkcja pary
ukUkrainian
Нумерація Кантора
zhChinese
配对函数

Popularity rank trends

Best Rank English:
#277714
11.2020
Global:
#337618
11.2020

AI rank trends

Best Rank English:
#34246
08.2021
Global:
#14071
09.2004

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Pairing function from Wikipedia articles about Hilberts paradox of the Grand Hotel, Countable set, Pythagorean triple, Georg Cantor and Wikipedia article. Whereas reading the article about Pairing function people most often go to Wikipedia articles on Fueter–Pólya theorem, Primitive recursive function, Triangular number, Combinatorial number system and Bijection.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In English Wikipedia the most popular articles on that day were: 2026 FIFA World Cup, Harry Kane, Julián Quiñones, List of FIFA World Cup top goalscorers, Kylian Mbappé, Democratic Republic of the Congo, Erling Haaland, DR Congo national football team, Melat Kiros, FIFA World Cup.

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 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information