擬微分作用素

ja

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擬微分作用素

Quality:

Pseudo-differential operator - operator on functions, defined by the composition of Fourier transformation, multiplication with a certain smooth function of both position and momentum, and inverse Fourier transformation. Article "擬微分作用素" in Japanese Wikipedia has 9.8 points for quality (as of August 1, 2024). The article contains 0 references and 12 sections.

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

Since the creation of article "擬微分作用素", its content was written by 10 registered users of Japanese Wikipedia and edited by 125 registered Wikipedia users in all languages.

The article is cited 13 times in Japanese Wikipedia and cited 153 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Japanese): #22909 in April 2015
  • Global: #53690 in September 2004

The highest popularity rank from 2008:

  • Local (Japanese): #266162 in October 2008
  • Global: #154439 in May 2016

There are 9 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 August 1, 2024 (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)
Pseudodifferentialoperator
25.0701
2English (en)
Pseudo-differential operator
23.2132
3French (fr)
Opérateur pseudo-différentiel
18.1344
4Russian (ru)
Псевдодифференциальный оператор
15.8933
5Ukrainian (uk)
Псевдодиференціальний оператор
15.2668
6Korean (ko)
유사 미분 연산자
15.1309
7Chinese (zh)
伪微分算子
15.0381
8Portuguese (pt)
Operador pseudodiferencial
11.6234
9Japanese (ja)
擬微分作用素
9.8399
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 "擬微分作用素" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Pseudo-differential operator
219 934
2French (fr)
Opérateur pseudo-différentiel
36 470
3Japanese (ja)
擬微分作用素
31 330
4German (de)
Pseudodifferentialoperator
29 385
5Chinese (zh)
伪微分算子
11 050
6Portuguese (pt)
Operador pseudodiferencial
7 047
7Korean (ko)
유사 미분 연산자
2 088
8Ukrainian (uk)
Псевдодиференціальний оператор
355
9Russian (ru)
Псевдодифференциальный оператор
207
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in July 2024

The most popular language versions of the article "擬微分作用素" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Pseudo-differential operator
979
2Japanese (ja)
擬微分作用素
183
3French (fr)
Opérateur pseudo-différentiel
96
4German (de)
Pseudodifferentialoperator
83
5Chinese (zh)
伪微分算子
68
6Russian (ru)
Псевдодифференциальный оператор
49
7Korean (ko)
유사 미분 연산자
15
8Portuguese (pt)
Operador pseudodiferencial
6
9Ukrainian (uk)
Псевдодиференціальний оператор
2
More...

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

The highest AI

Language versions of the article "擬微分作用素" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Pseudo-differential operator
48
2French (fr)
Opérateur pseudo-différentiel
25
3German (de)
Pseudodifferentialoperator
23
4Japanese (ja)
擬微分作用素
10
5Chinese (zh)
伪微分算子
8
6Portuguese (pt)
Operador pseudodiferencial
4
7Ukrainian (uk)
Псевдодиференціальний оператор
3
8Korean (ko)
유사 미분 연산자
2
9Russian (ru)
Псевдодифференциальный оператор
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 July 2024

Language versions of the article "擬微分作用素" with the highest AI in July 2024
#LanguageAI awardRelative AI
1French (fr)
Opérateur pseudo-différentiel
1
2German (de)
Pseudodifferentialoperator
0
3English (en)
Pseudo-differential operator
0
4Japanese (ja)
擬微分作用素
0
5Korean (ko)
유사 미분 연산자
0
6Portuguese (pt)
Operador pseudodiferencial
0
7Russian (ru)
Псевдодифференциальный оператор
0
8Ukrainian (uk)
Псевдодиференціальний оператор
0
9Chinese (zh)
伪微分算子
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 "擬微分作用素" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Pseudo-differential operator
64
2German (de)
Pseudodifferentialoperator
28
3French (fr)
Opérateur pseudo-différentiel
23
4Japanese (ja)
擬微分作用素
13
5Chinese (zh)
伪微分算子
10
6Korean (ko)
유사 미분 연산자
6
7Portuguese (pt)
Operador pseudodiferencial
4
8Russian (ru)
Псевдодифференциальный оператор
3
9Ukrainian (uk)
Псевдодиференціальний оператор
2
More...

Scores

Estimated value for Wikipedia:
Japanese:
Global:
Popularity in July 2024:
Japanese:
Global:
Popularity in all years:
Japanese:
Global:
Authors in July 2024:
Japanese:
Global:
Registered authors in all years:
Japanese:
Global:
Citations:
Japanese:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Pseudodifferentialoperator
enEnglish
Pseudo-differential operator
frFrench
Opérateur pseudo-différentiel
jaJapanese
擬微分作用素
koKorean
유사 미분 연산자
ptPortuguese
Operador pseudodiferencial
ruRussian
Псевдодифференциальный оператор
ukUkrainian
Псевдодиференціальний оператор
zhChinese
伪微分算子

Popularity rank trends

Best Rank Japanese:
#266162
10.2008
Global:
#154439
05.2016

AI rank trends

Best Rank Japanese:
#22909
04.2015
Global:
#53690
09.2004

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Pseudo-differential operator from Wikipedia articles about Differential operator, Fractional calculus, Microlocal analysis, Atiyah–Singer index theorem and Fractional Laplacian. Whereas reading the article about Pseudo-differential operator people most often go to Wikipedia articles on Differential operator, Differential algebra, Lars Hörmander, Microlocal analysis and Oscillatory integral operator.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 6 November 2024

On 6 November 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: Donald Trump, 2024 United States presidential election, Kamala Harris, 2020 United States presidential election, United States Electoral College, President of the United States, 2016 United States presidential election, Melania Trump, list of presidents of the United States, Joe Biden.

In Japanese Wikipedia the most popular articles on that day were: 穐田誉輝, 丹羽仁希, ドナルド・トランプ, カマラ・ハリス, 菊川怜, 松村謙三 (実業家), メラニア・トランプ, 歴代アメリカ合衆国大統領の一覧, 2024年アメリカ合衆国大統領選挙, 松野太紀.

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 August, 2024. When calculating current popularity and AI of articles data from July 2024 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information