Thặng dư (giải tích phức)

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Thặng dư (giải tích phức)

Quality:

Residue - coefficient of the term of order −1 in the Laurent expansion of a function holomorphic outside a point, whose value can be extracted by a contour integral. Article "Thặng dư (giải tích phức)" in Vietnamese Wikipedia has 10.4 points for quality (as of November 1, 2023). The article contains 0 references and 8 sections.

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

Since the creation of article "Thặng dư (giải tích phức)", its content was written by 1 registered users of Vietnamese Wikipedia and edited by 421 registered Wikipedia users in all languages.

The article is cited 2 times in Vietnamese Wikipedia and cited 431 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Vietnamese): #7698 in July 2020
  • Global: #6293 in January 2003

The highest popularity rank from 2008:

  • Local (Vietnamese): #37847 in January 2021
  • Global: #67493 in December 2014

There are 23 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 November 1, 2023 (including revision history and pageviews for previous years).

下表顯示了最高品質的文章的語言版本。

Languages with the highest quality

#LanguageQuality gradeQuality score
1Arabic (ar)
راسب (تحليل مركب)
27.203
2English (en)
Residue (complex analysis)
26.5273
3Chinese (zh)
留数
18.8982
4Russian (ru)
Вычет (комплексный анализ)
17.4812
5Turkish (tr)
Kalıntı (karmaşık analiz)
14.0173
6German (de)
Residuum (Funktionentheorie)
13.849
7Catalan (ca)
Residu (anàlisi complexa)
13.8486
8Finnish (fi)
Residy
11.8328
9Japanese (ja)
留数
11.0637
10Vietnamese (vi)
Thặng dư (giải tích phức)
10.3537
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 "Thặng dư (giải tích phức)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Residue (complex analysis)
1 374 428
2Russian (ru)
Вычет (комплексный анализ)
398 861
3German (de)
Residuum (Funktionentheorie)
385 762
4Japanese (ja)
留数
350 395
5French (fr)
Résidu (analyse complexe)
190 998
6Italian (it)
Residuo (analisi complessa)
174 550
7Polish (pl)
Residuum funkcji holomorficznej
137 605
8Spanish (es)
Residuo (análisis complejo)
128 436
9Chinese (zh)
留数
91 323
10Portuguese (pt)
Resíduo (análise complexa)
44 528
More...

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

Most popular in October 2023

The most popular language versions of the article "Thặng dư (giải tích phức)" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Residue (complex analysis)
8 546
2Russian (ru)
Вычет (комплексный анализ)
1 790
3German (de)
Residuum (Funktionentheorie)
1 199
4French (fr)
Résidu (analyse complexe)
1 155
5Japanese (ja)
留数
989
6Italian (it)
Residuo (analisi complessa)
938
7Spanish (es)
Residuo (análisis complejo)
617
8Chinese (zh)
留数
600
9Polish (pl)
Residuum funkcji holomorficznej
254
10Korean (ko)
유수 (복소해석학)
211
More...

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

The highest AI

Language versions of the article "Thặng dư (giải tích phức)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Residue (complex analysis)
90
2German (de)
Residuum (Funktionentheorie)
45
3Russian (ru)
Вычет (комплексный анализ)
42
4French (fr)
Résidu (analyse complexe)
36
5Dutch (nl)
Residu (functietheorie)
31
6Italian (it)
Residuo (analisi complessa)
26
7Japanese (ja)
留数
24
8Polish (pl)
Residuum funkcji holomorficznej
19
9Finnish (fi)
Residy
13
10Catalan (ca)
Residu (anàlisi complexa)
10
More...

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

The highest AI in October 2023

Language versions of the article "Thặng dư (giải tích phức)" with the highest AI in October 2023
#LanguageAI awardRelative AI
1Arabic (ar)
راسب (تحليل مركب)
1
2Catalan (ca)
Residu (anàlisi complexa)
0
3Czech (cs)
Reziduum (matematika)
0
4German (de)
Residuum (Funktionentheorie)
0
5English (en)
Residue (complex analysis)
0
6Spanish (es)
Residuo (análisis complejo)
0
7Persian (fa)
مانده (آنالیز مختلط)
0
8Finnish (fi)
Residy
0
9French (fr)
Résidu (analyse complexe)
0
10Hungarian (hu)
Reziduum
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 "Thặng dư (giải tích phức)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Residue (complex analysis)
65
2Japanese (ja)
留数
51
3Russian (ru)
Вычет (комплексный анализ)
39
4German (de)
Residuum (Funktionentheorie)
36
5French (fr)
Résidu (analyse complexe)
30
6Ukrainian (uk)
Лишок
29
7Italian (it)
Residuo (analisi complessa)
21
8Korean (ko)
유수 (복소해석학)
19
9Spanish (es)
Residuo (análisis complejo)
18
10Swedish (sv)
Residy
18
More...

Scores

Estimated value for Wikipedia:
Vietnamese:
Global:
Popularity in October 2023:
Vietnamese:
Global:
Popularity in all years:
Vietnamese:
Global:
Authors in October 2023:
Vietnamese:
Global:
Registered authors in all years:
Vietnamese:
Global:
Citations:
Vietnamese:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
راسب (تحليل مركب)
caCatalan
Residu (anàlisi complexa)
csCzech
Reziduum (matematika)
deGerman
Residuum (Funktionentheorie)
enEnglish
Residue (complex analysis)
esSpanish
Residuo (análisis complejo)
faPersian
مانده (آنالیز مختلط)
fiFinnish
Residy
frFrench
Résidu (analyse complexe)
huHungarian
Reziduum
hyArmenian
Մնացք
itItalian
Residuo (analisi complessa)
jaJapanese
留数
koKorean
유수 (복소해석학)
nlDutch
Residu (functietheorie)
plPolish
Residuum funkcji holomorficznej
ptPortuguese
Resíduo (análise complexa)
ruRussian
Вычет (комплексный анализ)
svSwedish
Residy
trTurkish
Kalıntı (karmaşık analiz)
ukUkrainian
Лишок
viVietnamese
Thặng dư (giải tích phức)
zhChinese
留数

Popularity rank trends

Best Rank Vietnamese:
#37847
01.2021
Global:
#67493
12.2014

AI rank trends

Best Rank Vietnamese:
#7698
07.2020
Global:
#6293
01.2003

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Residue from Wikipedia articles about Residue theorem, Residual, Residue, Pole and Contour integration. Whereas reading the article about Residue people most often go to Wikipedia articles on Residue theorem, Laurent series, Pole, Meromorphic function and Cauchys integral formula.

Cumulative results of quality and popularity of the Wikipedia article

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

ja: 留数
zh: 留数
sv: Residy
fi: Residy

News from 30 May 2024

On 30 May 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: Feast of Corpus Christi, YouTube, Vincent Kompany, Hansi Flick, UEFA Europa Conference League, deaths in 2024, ChatGPT, Olympiacos F.C., Furiosa: A Mad Max Saga, UEFA Euro 2024.

In Vietnamese Wikipedia the most popular articles on that day were: Lê Anh Tú (sinh 1981), Đài Truyền hình Kỹ thuật số VTC, Lương Tam Quang, Thích Chân Quang, Quốc kỳ Việt Nam Cộng hòa, Bộ trưởng Bộ Công an (Việt Nam), Đài Truyền hình Việt Nam, Tô Lâm, Cleopatra VII, Việt Nam.

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