Lagrange invariant

en

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Lagrange invariant

Quality:

Lagrange invariant - measure of light propagating through an optical system. Article "Lagrange invariant" in English Wikipedia has 18.5 points for quality (as of July 1, 2025). The article contains 3 references and 2 sections.

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

Since the creation of article "Lagrange invariant", its content was written by 10 registered users of English Wikipedia and edited by 24 registered Wikipedia users in all languages.

The article is cited 12 times in English Wikipedia and cited 35 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #137101 in December 2007
  • Global: #322299 in December 2007

The highest popularity rank from 2008:

  • Local (English): #793370 in February 2009
  • Global: #994155 in October 2023

There are 4 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
1Chinese (zh)
拉格朗日不變量
24.1757
2German (de)
Helmholtz-Lagrangesche Invariante
22.8739
3English (en)
Lagrange invariant
18.5119
4French (fr)
Invariant de Lagrange-Helmholtz
10.4814
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 "Lagrange invariant" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Lagrange invariant
95 069
2German (de)
Helmholtz-Lagrangesche Invariante
12 167
3Chinese (zh)
拉格朗日不變量
10 307
4French (fr)
Invariant de Lagrange-Helmholtz
8 660
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 "Lagrange invariant" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Lagrange invariant
466
2Chinese (zh)
拉格朗日不變量
76
3French (fr)
Invariant de Lagrange-Helmholtz
36
4German (de)
Helmholtz-Lagrangesche Invariante
32
More...

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

The highest AI

Language versions of the article "Lagrange invariant" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Lagrange invariant
10
2German (de)
Helmholtz-Lagrangesche Invariante
8
3French (fr)
Invariant de Lagrange-Helmholtz
3
4Chinese (zh)
拉格朗日不變量
3
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 "Lagrange invariant" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Helmholtz-Lagrangesche Invariante
0
2English (en)
Lagrange invariant
0
3French (fr)
Invariant de Lagrange-Helmholtz
0
4Chinese (zh)
拉格朗日不變量
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 "Lagrange invariant" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Chinese (zh)
拉格朗日不變量
14
2English (en)
Lagrange invariant
12
3French (fr)
Invariant de Lagrange-Helmholtz
5
4German (de)
Helmholtz-Lagrangesche Invariante
4
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
Helmholtz-Lagrangesche Invariante
enEnglish
Lagrange invariant
frFrench
Invariant de Lagrange-Helmholtz
zhChinese
拉格朗日不變量

Popularity rank trends

Best Rank English:
#793370
02.2009
Global:
#994155
10.2023

AI rank trends

Best Rank English:
#137101
12.2007
Global:
#322299
12.2007

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Lagrange invariant from Wikipedia articles about Etendue, Abbe sine condition, Smith-Helmholtz invariant, Ray and Vergence. Whereas reading the article about Lagrange invariant people most often go to Wikipedia articles on Etendue, Smith-Helmholtz invariant, Ray, Ж and Abbe sine condition.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 12 August 2025

On 12 August 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Cristiano Ronaldo, Wednesday, Georgina Rodríguez, ChatGPT, Weapons, Jenna Ortega, deaths in 2025, Taylor Swift, Miguel Uribe Turbay, 2025–26 UEFA Champions League.

In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

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