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, 2025). 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.

In June 2025 the article “Pushforward (differential)” was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article “Pushforward (differential)”, its content was written by 59 registered users of English Wikipedia and edited by 173 registered Wikipedia users in all languages.

The article is cited 224 times in English Wikipedia and cited 375 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #57005 in April 2005
  • Global: #106506 in February 2007

The highest popularity rank from 2008:

  • Local (English): #259997 in April 2024
  • Global: #315803 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, 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)
Pushforward (differential)
21.4237
2Chinese (zh)
前推 (微分)
16.9647
3Galician (gl)
Pulo (diferencial)
13.0118
4Spanish (es)
Aplicación progrediente
10.791
5Ukrainian (uk)
Диференціал (диференціальна геометрія)
10.2587
6Japanese (ja)
写像の微分
8.8352
7Polish (pl)
Odwzorowanie styczne
8.4801
8German (de)
Pushforward
8.028
9Russian (ru)
Дифференциал (дифференциальная геометрия)
7.6805
10Korean (ko)
미분 사상
4.8131
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)
548 539
2Russian (ru)
Дифференциал (дифференциальная геометрия)
66 580
3German (de)
Pushforward
61 908
4Japanese (ja)
写像の微分
25 045
5Spanish (es)
Aplicación progrediente
20 573
6Chinese (zh)
前推 (微分)
16 588
7Polish (pl)
Odwzorowanie styczne
10 199
8Korean (ko)
미분 사상
4 274
9Ukrainian (uk)
Диференціал (диференціальна геометрія)
2 401
10Galician (gl)
Pulo (diferencial)
98
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 "Pushforward (differential)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Pushforward (differential)
2 950
2German (de)
Pushforward
296
3Japanese (ja)
写像の微分
229
4Russian (ru)
Дифференциал (дифференциальная геометрия)
191
5Chinese (zh)
前推 (微分)
84
6Spanish (es)
Aplicación progrediente
78
7Korean (ko)
미분 사상
41
8Polish (pl)
Odwzorowanie styczne
24
9Ukrainian (uk)
Диференціал (диференціальна геометрія)
12
10Galician (gl)
Pulo (diferencial)
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 "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)
59
2Russian (ru)
Дифференциал (дифференциальная геометрия)
56
3German (de)
Pushforward
18
4Spanish (es)
Aplicación progrediente
14
5Polish (pl)
Odwzorowanie styczne
8
6Korean (ko)
미분 사상
5
7Japanese (ja)
写像の微分
4
8Chinese (zh)
前推 (微分)
4
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 2025

Language versions of the article "Pushforward (differential)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Pushforward (differential)
1
2German (de)
Pushforward
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)
224
2Japanese (ja)
写像の微分
38
3German (de)
Pushforward
23
4Chinese (zh)
前推 (微分)
23
5Russian (ru)
Дифференциал (дифференциальная геометрия)
18
6Spanish (es)
Aplicación progrediente
17
7Korean (ko)
미분 사상
12
8Galician (gl)
Pulo (diferencial)
10
9Polish (pl)
Odwzorowanie styczne
5
10Ukrainian (uk)
Диференціал (диференціальна геометрія)
5
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
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:
#259997
04.2024
Global:
#315803
01.2011

AI rank trends

Best Rank English:
#57005
04.2005
Global:
#106506
02.2007

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Pushforward from Wikipedia articles about Pushforward, Pullback, Immersion, Jacobian matrix and Differential. 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 28 January 2026

On 28 January 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2025–26 UEFA Champions League, Nipah virus, Doomsday Clock, UEFA Champions League, Elena Rybakina, Donald Trump, 2026 European Men's Handball Championship, killing of Alex Pretti, Kristi Noem, deaths in 2026.

In English Wikipedia the most popular articles on that day were: Ajit Pawar, Border 2, Sharad Pawar, Killing of Alex Pretti, Ilhan Omar, Sunetra Pawar, Todd Monken, Kristi Noem, Wonder Man (miniseries), Gregory Bovino.

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