Pushforward (differential)

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Pushforward (differential)

Quality:

Pushforward - linear approximation of smooth maps on tangent spaces. Article “Pushforward (differential)” in English Wikipedia has 21.4 points for quality (as of July 1, 2026). The article contains 0 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 (English) language version.

Since the creation of article “Pushforward (differential)”, its content was written by 62 registered users of English Wikipedia and edited by 181 registered Wikipedia users in all languages.

The article is cited 227 times in English Wikipedia and cited 390 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #57002 in April 2005
  • Global: #106723 in February 2007

The highest popularity rank from 2008:

  • Local (English): #259758 in October 2024
  • Global: #317080 in January 2011

There are 10 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)
Pushforward (differential)
21.4154
2Chinese (zh)
前推 (微分)
17.5201
3Galician (gl)
Pulo (diferencial)
13.0051
4Spanish (es)
Aplicación progrediente
10.7014
5Ukrainian (uk)
Диференціал (диференціальна геометрія)
10.203
6Japanese (ja)
写像の微分
8.7907
7Polish (pl)
Odwzorowanie styczne
8.4875
8German (de)
Pushforward
8.0186
9Russian (ru)
Дифференциал (дифференциальная геометрия)
7.6835
10Korean (ko)
미분 사상
4.8176
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 "Pushforward (differential)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Pushforward (differential)
582 785
2Russian (ru)
Дифференциал (дифференциальная геометрия)
70 815
3German (de)
Pushforward
64 817
4Japanese (ja)
写像の微分
27 333
5Spanish (es)
Aplicación progrediente
21 488
6Chinese (zh)
前推 (微分)
17 760
7Polish (pl)
Odwzorowanie styczne
10 365
8Korean (ko)
미분 사상
4 536
9Ukrainian (uk)
Диференціал (диференціальна геометрія)
2 519
10Galician (gl)
Pulo (diferencial)
121
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 "Pushforward (differential)" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Pushforward (differential)
2 214
2German (de)
Pushforward
273
3Japanese (ja)
写像の微分
216
4Russian (ru)
Дифференциал (дифференциальная геометрия)
129
5Chinese (zh)
前推 (微分)
95
6Spanish (es)
Aplicación progrediente
40
7Polish (pl)
Odwzorowanie styczne
29
8Korean (ko)
미분 사상
28
9Ukrainian (uk)
Диференціал (диференціальна геометрія)
5
10Galician (gl)
Pulo (diferencial)
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 "Pushforward (differential)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Pushforward (differential)
62
2Russian (ru)
Дифференциал (дифференциальная геометрия)
56
3German (de)
Pushforward
19
4Spanish (es)
Aplicación progrediente
14
5Polish (pl)
Odwzorowanie styczne
8
6Chinese (zh)
前推 (微分)
7
7Japanese (ja)
写像の微分
5
8Korean (ko)
미분 사상
5
9Ukrainian (uk)
Диференціал (диференціальна геометрія)
3
10Galician (gl)
Pulo (diferencial)
2
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 "Pushforward (differential)" with the highest AI in June 2026
#LanguageAI awardRelative AI
1German (de)
Pushforward
0
2English (en)
Pushforward (differential)
0
3Spanish (es)
Aplicación progrediente
0
4Galician (gl)
Pulo (diferencial)
0
5Japanese (ja)
写像の微分
0
6Korean (ko)
미분 사상
0
7Polish (pl)
Odwzorowanie styczne
0
8Russian (ru)
Дифференциал (дифференциальная геометрия)
0
9Ukrainian (uk)
Диференціал (диференціальна геометрія)
0
10Chinese (zh)
前推 (微分)
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 "Pushforward (differential)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Pushforward (differential)
227
2Chinese (zh)
前推 (微分)
41
3Japanese (ja)
写像の微分
31
4German (de)
Pushforward
22
5Korean (ko)
미분 사상
17
6Russian (ru)
Дифференциал (дифференциальная геометрия)
17
7Spanish (es)
Aplicación progrediente
13
8Galician (gl)
Pulo (diferencial)
10
9Polish (pl)
Odwzorowanie styczne
6
10Ukrainian (uk)
Диференціал (диференціальна геометрія)
6
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
Pushforward
enEnglish
Pushforward (differential)
esSpanish
Aplicación progrediente
glGalician
Pulo (diferencial)
jaJapanese
写像の微分
koKorean
미분 사상
plPolish
Odwzorowanie styczne
ruRussian
Дифференциал (дифференциальная геометрия)
ukUkrainian
Диференціал (диференціальна геометрія)
zhChinese
前推 (微分)

Popularity rank trends

Best Rank English:
#259758
10.2024
Global:
#317080
01.2011

AI rank trends

Best Rank English:
#57002
04.2005
Global:
#106723
02.2007

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Pushforward from Wikipedia articles about Pushforward, Pullback, Jacobian matrix, Immersion and Exterior derivative. Whereas reading the article about Pushforward people most often go to Wikipedia articles on Pullback, Tangent space, Total derivative, Pushforward and Flow-based generative model.

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