Thomae's function

Thomae's function - function that is discontinuous at rationals and continuous at irrationals. Article “Thomae's function” in English Wikipedia has 24.8 points for quality (as of July 1, 2025). The article contains 8 references and 7 sections.

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

In June 2025 the article “Thomae's function” was edited by 1 authors in English Wikipedia and written by 4 authors in all languages.

Since the creation of article “Thomae's function”, its content was written by 102 registered users of English Wikipedia and edited by 288 registered Wikipedia users in all languages.

The article is cited 19 times in English Wikipedia and cited 168 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #46605 in September 2021
• Global: #60519 in April 2009

The highest popularity rank from 2008:

• Local (English): #72803 in March 2023
• Global: #107279 in March 2023

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.

#	Language	Quality grade	Quality score
1	Persian (fa) تابع توما		28.802
2	English (en) Thomae's function		24.7659
3	Portuguese (pt) Função de Thomae		21.3852
4	Russian (ru) Функция Римана (ТФДП)		21.1719
5	Polish (pl) Funkcja Riemanna		20.1632
6	French (fr) Fonction de Thomae		18.5646
7	Galician (gl) Función de Thomae		13.9528
8	Swedish (sv) Thomaes funktion		13.1978
9	Spanish (es) Función de Thomae		13.0029
10	German (de) Thomaesche Funktion		11.897

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The following table shows the most popular language versions of the article.

The most popular language versions of the article "Thomae's function" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Thomae's function		580 475
2	German (de) Thomaesche Funktion		66 989
3	Hebrew (he) פונקציית רימן		59 203
4	Russian (ru) Функция Римана (ТФДП)		47 332
5	Spanish (es) Función de Thomae		44 070
6	Polish (pl) Funkcja Riemanna		39 218
7	French (fr) Fonction de Thomae		32 388
8	Korean (ko) 토메 함수		20 986
9	Czech (cs) Riemannova funkce		17 689
10	Italian (it) Funzione di Thomae		16 188

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

The most popular language versions of the article "Thomae's function" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Thomae's function		2 916
2	Russian (ru) Функция Римана (ТФДП)		368
3	German (de) Thomaesche Funktion		309
4	Korean (ko) 토메 함수		278
5	French (fr) Fonction de Thomae		165
6	Spanish (es) Función de Thomae		164
7	Japanese (ja) トマエ関数		131
8	Polish (pl) Funkcja Riemanna		114
9	Hebrew (he) פונקציית רימן		94
10	Czech (cs) Riemannova funkce		86

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

Language versions of the article "Thomae's function" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Thomae's function		102
2	German (de) Thomaesche Funktion		49
3	French (fr) Fonction de Thomae		26
4	Hebrew (he) פונקציית רימן		24
5	Polish (pl) Funkcja Riemanna		18
6	Italian (it) Funzione di Thomae		15
7	Czech (cs) Riemannova funkce		9
8	Japanese (ja) トマエ関数		7
9	Swedish (sv) Thomaes funktion		7
10	Spanish (es) Función de Thomae		5

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

Language versions of the article "Thomae's function" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	German (de) Thomaesche Funktion		2
2	English (en) Thomae's function		1
3	Spanish (es) Función de Thomae		1
4	Bulgarian (bg) Функция на Риман (теория на функциите на една реална променлива)		0
5	Czech (cs) Riemannova funkce		0
6	Persian (fa) تابع توما		0
7	French (fr) Fonction de Thomae		0
8	Galician (gl) Función de Thomae		0
9	Hebrew (he) פונקציית רימן		0
10	Italian (it) Funzione di Thomae		0

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The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "Thomae's function" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	Swedish (sv) Thomaes funktion		40
2	Polish (pl) Funkcja Riemanna		39
3	English (en) Thomae's function		19
4	French (fr) Fonction de Thomae		11
5	German (de) Thomaesche Funktion		10
6	Hebrew (he) פונקציית רימן		10
7	Japanese (ja) トマエ関数		7
8	Korean (ko) 토메 함수		7
9	Russian (ru) Функция Римана (ТФДП)		6
10	Czech (cs) Riemannova funkce		3

More...

#	Language	Value
bg	Bulgarian Функция на Риман (теория на функциите на една реална променлива)
cs	Czech Riemannova funkce
de	German Thomaesche Funktion
en	English Thomae's function
es	Spanish Función de Thomae
fa	Persian تابع توما
fr	French Fonction de Thomae
gl	Galician Función de Thomae
he	Hebrew פונקציית רימן
it	Italian Funzione di Thomae
ja	Japanese トマエ関数
ko	Korean 토메 함수
pl	Polish Funkcja Riemanna
pt	Portuguese Função de Thomae
ru	Russian Функция Римана (ТФДП)
sk	Slovak Riemannova funkcia
sv	Swedish Thomaes funktion
uk	Ukrainian Функція Томе

Best Rank

English: #72803 03.2023

Global: #107279 03.2023

Best Rank

English: #46605 09.2021

Global: #60519 04.2009

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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