Partition of unity

Partition of unity - set of continuous functions from a topological space to the unit interval [0,1] such that for every point x, there is a neighborhood of x where a cofinite number of the functions are 0, and such that the sum of all the function values at x is 1. Article "Partition of unity" in English Wikipedia has 26.7 points for quality (as of July 1, 2025). The article contains 10 references and 7 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

In June 2025 the article "Partition of unity" was edited by 1 authors in English Wikipedia and written by 3 authors in all languages.

Since the creation of article "Partition of unity", its content was written by 49 registered users of English Wikipedia and edited by 166 registered Wikipedia users in all languages.

The article is cited 56 times in English Wikipedia and cited 301 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #5488 in April 2002
• Global: #6374 in April 2002

The highest popularity rank from 2008:

• Local (English): #366790 in November 2022
• Global: #450339 in April 2015

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.

#	Language	Quality grade	Quality score
1	English (en) Partition of unity		26.7043
2	Spanish (es) Partición de la unidad		20.832
3	German (de) Zerlegung der Eins		19.3188
4	Polish (pl) Rozkład jedności		18.6901
5	Vietnamese (vi) Phân hoạch đơn vị		17.5193
6	French (fr) Partition de l'unité		16.3965
7	Ukrainian (uk) Розбиття одиниці		13.8331
8	Japanese (ja) 1の分割		8.6372
9	Korean (ko) 단위 분할		5.7696
10	Hebrew (he) חלוקת יחידה		4.9098

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

The most popular language versions of the article "Partition of unity" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Partition of unity		372 131
2	German (de) Zerlegung der Eins		79 129
3	Japanese (ja) 1の分割		32 581
4	French (fr) Partition de l'unité		32 545
5	Russian (ru) Разбиение единицы		23 268
6	Italian (it) Partizione dell'unità		16 439
7	Portuguese (pt) Partição da unidade		8 096
8	Hebrew (he) חלוקת יחידה		5 356
9	Korean (ko) 단위 분할		4 566
10	Ukrainian (uk) Розбиття одиниці		1 579

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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 "Partition of unity" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Partition of unity		2 072
2	Japanese (ja) 1の分割		282
3	German (de) Zerlegung der Eins		192
4	Russian (ru) Разбиение единицы		123
5	French (fr) Partition de l'unité		112
6	Hebrew (he) חלוקת יחידה		63
7	Italian (it) Partizione dell'unità		47
8	Spanish (es) Partición de la unidad		38
9	Polish (pl) Rozkład jedności		35
10	Korean (ko) 단위 분할		24

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

Language versions of the article "Partition of unity" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Partition of unity		49
2	German (de) Zerlegung der Eins		36
3	Russian (ru) Разбиение единицы		21
4	French (fr) Partition de l'unité		13
5	Hebrew (he) חלוקת יחידה		9
6	Italian (it) Partizione dell'unità		9
7	Ukrainian (uk) Розбиття одиниці		9
8	Japanese (ja) 1の分割		5
9	Polish (pl) Rozkład jedności		4
10	Portuguese (pt) Partição da unidade		4

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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 "Partition of unity" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	English (en) Partition of unity		1
2	Polish (pl) Rozkład jedności		1
3	Portuguese (pt) Partição da unidade		1
4	German (de) Zerlegung der Eins		0
5	Esperanto (eo) Dispartigo de unuo		0
6	Spanish (es) Partición de la unidad		0
7	Persian (fa) افراز واحد		0
8	French (fr) Partition de l'unité		0
9	Hebrew (he) חלוקת יחידה		0
10	Italian (it) Partizione dell'unità		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 "Partition of unity" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	Italian (it) Partizione dell'unità		140
2	English (en) Partition of unity		56
3	French (fr) Partition de l'unité		23
4	German (de) Zerlegung der Eins		22
5	Japanese (ja) 1の分割		21
6	Hebrew (he) חלוקת יחידה		8
7	Korean (ko) 단위 분할		8
8	Spanish (es) Partición de la unidad		7
9	Russian (ru) Разбиение единицы		5
10	Portuguese (pt) Partição da unidade		4

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#	Language	Value
de	German Zerlegung der Eins
en	English Partition of unity
eo	Esperanto Dispartigo de unuo
es	Spanish Partición de la unidad
fa	Persian افراز واحد
fr	French Partition de l'unité
he	Hebrew חלוקת יחידה
it	Italian Partizione dell'unità
ja	Japanese 1の分割
ko	Korean 단위 분할
pl	Polish Rozkład jedności
pt	Portuguese Partição da unidade
ru	Russian Разбиение единицы
uk	Ukrainian Розбиття одиниці
vi	Vietnamese Phân hoạch đơn vị

Best Rank

English: #366790 11.2022

Global: #450339 04.2015

Best Rank

English: #5488 04.2002

Global: #6374 04.2002

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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