Лемма Морса

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Лемма Морса

Quality:

Morse–Palais lemma - theorem that a smooth enough function near a critical point can be expressed as a quadratic form after a suitable change of coordinates. Article “Лемма Морса” in Russian Wikipedia has 23.8 points for quality (as of July 1, 2025). The article contains 8 references and 7 sections.

In this language version of Wikipedia the article has the best quality. However, the most popular language version of this article is English.

Since the creation of article “Лемма Морса”, its content was written by 15 registered users of Russian Wikipedia and edited by 42 registered Wikipedia users in all languages.

The article is cited 13 times in Russian Wikipedia and cited 31 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Russian): #3974 in April 2006
  • Global: #327081 in September 2011

The highest popularity rank from 2008:

  • Local (Russian): #162725 in January 2008
  • Global: #1593867 in March 2014

There are 5 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
1Russian (ru)
Лемма Морса
23.8043
2Chinese (zh)
莫尔斯–帕莱引理
7.6875
3English (en)
Morse–Palais lemma
6.8496
4Italian (it)
Lemma di Morse
3.6973
5Ukrainian (uk)
Лема Морса
2.8171
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 "Лемма Морса" in all the time
#LanguagePopularity awardRelative popularity
1Russian (ru)
Лемма Морса
25 606
2English (en)
Morse–Palais lemma
24 289
3Italian (it)
Lemma di Morse
5 981
4Ukrainian (uk)
Лема Морса
1 127
5Chinese (zh)
莫尔斯–帕莱引理
250
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 "Лемма Морса" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Morse–Palais lemma
147
2Russian (ru)
Лемма Морса
113
3Italian (it)
Lemma di Morse
47
4Chinese (zh)
莫尔斯–帕莱引理
18
5Ukrainian (uk)
Лема Морса
5
More...

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

The highest AI

Language versions of the article "Лемма Морса" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1Russian (ru)
Лемма Морса
15
2Italian (it)
Lemma di Morse
11
3English (en)
Morse–Palais lemma
9
4Ukrainian (uk)
Лема Морса
6
5Chinese (zh)
莫尔斯–帕莱引理
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 "Лемма Морса" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Morse–Palais lemma
0
2Italian (it)
Lemma di Morse
0
3Russian (ru)
Лемма Морса
0
4Ukrainian (uk)
Лема Морса
0
5Chinese (zh)
莫尔斯–帕莱引理
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 "Лемма Морса" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Russian (ru)
Лемма Морса
13
2English (en)
Morse–Palais lemma
7
3Ukrainian (uk)
Лема Морса
5
4Italian (it)
Lemma di Morse
4
5Chinese (zh)
莫尔斯–帕莱引理
2
More...

Scores

Estimated value for Wikipedia:
Russian:
Global:
Popularity in June 2025:
Russian:
Global:
Popularity in all years:
Russian:
Global:
Authors in June 2025:
Russian:
Global:
Registered authors in all years:
Russian:
Global:
Citations:
Russian:
Global:

Quality measures

Interwikis

#LanguageValue
enEnglish
Morse–Palais lemma
itItalian
Lemma di Morse
ruRussian
Лемма Морса
ukUkrainian
Лема Морса
zhChinese
莫尔斯–帕莱引理

Popularity rank trends

Best Rank Russian:
#162725
01.2008
Global:
#1593867
03.2014

AI rank trends

Best Rank Russian:
#3974
04.2006
Global:
#327081
09.2011

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Morse–Palais lemma from Wikipedia articles about Morse theory, Marston Morse, Hessian matrix, Hadamards lemma and Mosers trick. Whereas reading the article about Morse–Palais lemma people most often go to Wikipedia articles on Mosers trick, Morse theory, Richard Palais, Critical point and Marston Morse.

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 Russian Wikipedia the most popular articles on that day were: Яндекс, Главы Курска, Анкоридж, Аляска, Уэнздей (2-й сезон), Катастрофа АПЛ «Курск», Бутусов, Юрий Николаевич, Продажа Аляски, К-141 «Курск», Корж, Макс.

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