Hamiltonian vector field

en

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Hamiltonian vector field

Quality:

Hamiltonian vector field - vector field associated to a hamiltonian on a symplectic manifold. Article “Hamiltonian vector field” in English Wikipedia has 22.8 points for quality (as of July 1, 2025). The article contains 7 references and 8 sections.

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

Since the creation of article “Hamiltonian vector field”, its content was written by 43 registered users of English Wikipedia and edited by 125 registered Wikipedia users in all languages.

The article is cited 43 times in English Wikipedia and cited 115 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #96087 in November 2014
  • Global: #108799 in November 2008

The highest popularity rank from 2008:

  • Local (English): #397113 in April 2008
  • Global: #452433 in November 2008

There are 7 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
1German (de)
Hamiltonsches Vektorfeld
27.2845
2English (en)
Hamiltonian vector field
22.8269
3Catalan (ca)
Camp vectorial hamiltonià
18.6839
4Italian (it)
Campo vettoriale hamiltoniano
12.0674
5Chinese (zh)
哈密顿向量场
11.1484
6Japanese (ja)
ハミルトンベクトル場
3.7153
7French (fr)
Champ de vecteurs hamiltonien
3.0337
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 "Hamiltonian vector field" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Hamiltonian vector field
234 544
2Italian (it)
Campo vettoriale hamiltoniano
35 409
3French (fr)
Champ de vecteurs hamiltonien
26 554
4Japanese (ja)
ハミルトンベクトル場
21 910
5Chinese (zh)
哈密顿向量场
12 429
6German (de)
Hamiltonsches Vektorfeld
733
7Catalan (ca)
Camp vectorial hamiltonià
49
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 "Hamiltonian vector field" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Hamiltonian vector field
1 012
2Italian (it)
Campo vettoriale hamiltoniano
101
3Japanese (ja)
ハミルトンベクトル場
86
4French (fr)
Champ de vecteurs hamiltonien
82
5Chinese (zh)
哈密顿向量场
47
6German (de)
Hamiltonsches Vektorfeld
36
7Catalan (ca)
Camp vectorial hamiltonià
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 "Hamiltonian vector field" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Hamiltonian vector field
43
2Italian (it)
Campo vettoriale hamiltoniano
32
3French (fr)
Champ de vecteurs hamiltonien
20
4Japanese (ja)
ハミルトンベクトル場
18
5German (de)
Hamiltonsches Vektorfeld
7
6Chinese (zh)
哈密顿向量场
4
7Catalan (ca)
Camp vectorial hamiltonià
1
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 "Hamiltonian vector field" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Hamiltonsches Vektorfeld
1
2French (fr)
Champ de vecteurs hamiltonien
1
3Catalan (ca)
Camp vectorial hamiltonià
0
4English (en)
Hamiltonian vector field
0
5Italian (it)
Campo vettoriale hamiltoniano
0
6Japanese (ja)
ハミルトンベクトル場
0
7Chinese (zh)
哈密顿向量场
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 "Hamiltonian vector field" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Hamiltonian vector field
43
2Chinese (zh)
哈密顿向量场
20
3Italian (it)
Campo vettoriale hamiltoniano
14
4Japanese (ja)
ハミルトンベクトル場
13
5French (fr)
Champ de vecteurs hamiltonien
12
6German (de)
Hamiltonsches Vektorfeld
11
7Catalan (ca)
Camp vectorial hamiltonià
2
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
Camp vectorial hamiltonià
deGerman
Hamiltonsches Vektorfeld
enEnglish
Hamiltonian vector field
frFrench
Champ de vecteurs hamiltonien
itItalian
Campo vettoriale hamiltoniano
jaJapanese
ハミルトンベクトル場
zhChinese
哈密顿向量场

Popularity rank trends

Best Rank English:
#397113
04.2008
Global:
#452433
11.2008

AI rank trends

Best Rank English:
#96087
11.2014
Global:
#108799
11.2008

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Hamiltonian vector field from Wikipedia articles about Hamiltonian mechanics, Hamiltonian, Liouvilles theorem, Flow and Geodesics as Hamiltonian flows. Whereas reading the article about Hamiltonian vector field people most often go to Wikipedia articles on Symplectic manifold, Symplectic vector space, Hamiltonian mechanics, Poisson bracket and William Rowan Hamilton.

Cumulative results of quality and popularity of the Wikipedia article

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

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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