Immersion (mathematics)

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Immersion (mathematics)

Quality:

Immersion - differentiable function whose derivative is everywhere injective. Article "Immersion (mathematics)" in English Wikipedia has 52.5 points for quality (as of July 1, 2025). The article contains 6 references and 14 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 "Immersion (mathematics)", its content was written by 59 registered users of English Wikipedia and edited by 194 registered Wikipedia users in all languages.

The article is cited 251 times in English Wikipedia and cited 724 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #53853 in December 2008
  • Global: #91864 in November 2012

The highest popularity rank from 2008:

  • Local (English): #333108 in June 2023
  • Global: #381490 in June 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.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Immersion (mathematics)
52.5439
2Galician (gl)
Inmersión (matemáticas)
28.134
3Vietnamese (vi)
Phép dìm
26.0191
4Japanese (ja)
はめ込み
21.588
5Russian (ru)
Погружение (топология)
17.4572
6Portuguese (pt)
Imersão (matemática)
17.0688
7Catalan (ca)
Immersió
16.7542
8Spanish (es)
Inmersión (matemática)
15.4198
9Korean (ko)
몰입 (수학)
13.3695
10Chinese (zh)
浸入
12.1544
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 "Immersion (mathematics)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Immersion (mathematics)
415 033
2German (de)
Immersion (Mathematik)
93 095
3French (fr)
Immersion (mathématiques)
36 097
4Russian (ru)
Погружение (топология)
33 373
5Japanese (ja)
はめ込み
27 882
6Spanish (es)
Inmersión (matemática)
23 280
7Italian (it)
Immersione (geometria)
19 648
8Portuguese (pt)
Imersão (matemática)
16 066
9Chinese (zh)
浸入
12 392
10Korean (ko)
몰입 (수학)
9 895
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 "Immersion (mathematics)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Immersion (mathematics)
1 936
2German (de)
Immersion (Mathematik)
318
3Japanese (ja)
はめ込み
244
4Russian (ru)
Погружение (топология)
156
5French (fr)
Immersion (mathématiques)
117
6Spanish (es)
Inmersión (matemática)
109
7Chinese (zh)
浸入
90
8Italian (it)
Immersione (geometria)
67
9Portuguese (pt)
Imersão (matemática)
67
10Korean (ko)
몰입 (수학)
53
More...

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

The highest AI

Language versions of the article "Immersion (mathematics)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Immersion (mathematics)
59
2German (de)
Immersion (Mathematik)
28
3French (fr)
Immersion (mathématiques)
20
4Italian (it)
Immersione (geometria)
19
5Russian (ru)
Погружение (топология)
15
6Dutch (nl)
Indompeling (wiskunde)
9
7Catalan (ca)
Immersió
7
8Spanish (es)
Inmersión (matemática)
5
9Simple English (simple)
Immersion (mathematics)
5
10Ukrainian (uk)
Занурення (топологія)
5
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 "Immersion (mathematics)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Vietnamese (vi)
Phép dìm
1
2Catalan (ca)
Immersió
0
3German (de)
Immersion (Mathematik)
0
4English (en)
Immersion (mathematics)
0
5Spanish (es)
Inmersión (matemática)
0
6Persian (fa)
ایمرژن
0
7French (fr)
Immersion (mathématiques)
0
8Galician (gl)
Inmersión (matemáticas)
0
9Italian (it)
Immersione (geometria)
0
10Japanese (ja)
はめ込み
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 "Immersion (mathematics)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Immersion (mathematics)
251
2Italian (it)
Immersione (geometria)
148
3Catalan (ca)
Immersió
54
4German (de)
Immersion (Mathematik)
48
5French (fr)
Immersion (mathématiques)
35
6Russian (ru)
Погружение (топология)
34
7Korean (ko)
몰입 (수학)
25
8Spanish (es)
Inmersión (matemática)
22
9Japanese (ja)
はめ込み
20
10Ukrainian (uk)
Занурення (топологія)
20
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
Immersió
deGerman
Immersion (Mathematik)
enEnglish
Immersion (mathematics)
esSpanish
Inmersión (matemática)
faPersian
ایمرژن
frFrench
Immersion (mathématiques)
glGalician
Inmersión (matemáticas)
itItalian
Immersione (geometria)
jaJapanese
はめ込み
koKorean
몰입 (수학)
nlDutch
Indompeling (wiskunde)
ptPortuguese
Imersão (matemática)
ruRussian
Погружение (топология)
simpleSimple English
Immersion (mathematics)
slSlovenian
Imerzija (matematika)
ukUkrainian
Занурення (топологія)
viVietnamese
Phép dìm
zhChinese
浸入

Popularity rank trends

Best Rank English:
#333108
06.2023
Global:
#381490
06.2023

AI rank trends

Best Rank English:
#53853
12.2008
Global:
#91864
11.2012

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Immersion from Wikipedia articles about Klein bottle, Immersion, Submanifold, Embedding and Boys surface. Whereas reading the article about Immersion people most often go to Wikipedia articles on Embedding, Pushforward, Submersion, Injection and Submanifold.

Cumulative results of quality and popularity of the Wikipedia article

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

zh: 浸入

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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