反常積分

Quality:

Improper integral - limit of a definite integral with as one or both limits approach infinity or values at which the integrand is undefined. Article "反常積分" in Chinese Wikipedia has 30.2 points for quality (as of August 1, 2024). The article contains 0 references and 10 sections.

This article has the best quality in English Wikipedia. Also, this article is the most popular in that language version.

Since the creation of article "反常積分", its content was written by 31 registered users of Chinese Wikipedia and edited by 594 registered Wikipedia users in all languages.

The article is cited 121 times in Chinese Wikipedia and cited 1382 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Chinese): #3948 in December 2005
  • Global: #7230 in November 2003

The highest popularity rank from 2008:

  • Local (Chinese): #23346 in December 2020
  • Global: #25014 in March 2015

There are 32 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
1English (en)
Improper integral
50.7581
2Chinese (zh)
反常積分
30.2364
3Polish (pl)
Całka niewłaściwa
28.2432
4Portuguese (pt)
Integral imprópria
24.652
5Italian (it)
Integrale improprio
24.1562
6French (fr)
Intégrale impropre
23.0973
7Indonesian (id)
Integral takwajar
21.1153
8Vietnamese (vi)
Tích phân suy rộng
19.3795
9Kazakh (kk)
Өзіндік емес интеграл
19.342
10Ukrainian (uk)
Невласний інтеграл
19.0546
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 "反常積分" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Improper integral
1 415 059
2Spanish (es)
Integral impropia
868 898
3Russian (ru)
Несобственный интеграл
558 309
4French (fr)
Intégrale impropre
384 429
5Italian (it)
Integrale improprio
306 677
6Polish (pl)
Całka niewłaściwa
304 331
7German (de)
Uneigentliches Integral
298 926
8Chinese (zh)
反常積分
235 250
9Hebrew (he)
אינטגרל לא אמיתי
182 803
10Japanese (ja)
広義積分
171 919
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 "反常積分" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Improper integral
4 754
2Russian (ru)
Несобственный интеграл
2 125
3Hebrew (he)
אינטגרל לא אמיתי
1 587
4Chinese (zh)
反常積分
1 300
5Japanese (ja)
広義積分
1 151
6Korean (ko)
이상 적분
1 000
7Spanish (es)
Integral impropia
821
8German (de)
Uneigentliches Integral
799
9French (fr)
Intégrale impropre
659
10Italian (it)
Integrale improprio
333
More...

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

The highest AI

Language versions of the article "反常積分" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Improper integral
93
2French (fr)
Intégrale impropre
51
3Russian (ru)
Несобственный интеграл
47
4Italian (it)
Integrale improprio
45
5Dutch (nl)
Oneigenlijke integraal
39
6Spanish (es)
Integral impropia
38
7Polish (pl)
Całka niewłaściwa
34
8Chinese (zh)
反常積分
31
9Hebrew (he)
אינטגרל לא אמיתי
30
10German (de)
Uneigentliches Integral
23
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 "反常積分" with the highest AI in July 2024
#LanguageAI awardRelative AI
1Hindi (hi)
अनन्त समाकल
1
2Kazakh (kk)
Өзіндік емес интеграл
1
3Arabic (ar)
تكامل معتل
0
4Belarusian (be)
Неўласцівы інтэграл
0
5Catalan (ca)
Integral impròpia
0
6Czech (cs)
Nevlastní integrál
0
7Danish (da)
Uegentligt integral
0
8German (de)
Uneigentliches Integral
0
9English (en)
Improper integral
0
10Spanish (es)
Integral impropia
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 "反常積分" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Improper integral
191
2Italian (it)
Integrale improprio
149
3Chinese (zh)
反常積分
121
4Korean (ko)
이상 적분
108
5Ukrainian (uk)
Невласний інтеграл
101
6Japanese (ja)
広義積分
100
7Hebrew (he)
אינטגרל לא אמיתי
75
8Catalan (ca)
Integral impròpia
67
9Indonesian (id)
Integral takwajar
60
10Portuguese (pt)
Integral imprópria
59
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
arArabic
تكامل معتل
beBelarusian
Неўласцівы інтэграл
caCatalan
Integral impròpia
csCzech
Nevlastní integrál
daDanish
Uegentligt integral
deGerman
Uneigentliches Integral
enEnglish
Improper integral
esSpanish
Integral impropia
etEstonian
Päratu integraal
euBasque
Integral inpropio
faPersian
انتگرال ناسره
frFrench
Intégrale impropre
heHebrew
אינטגרל לא אמיתי
hiHindi
अनन्त समाकल
huHungarian
Improprius integrál
idIndonesian
Integral takwajar
itItalian
Integrale improprio
jaJapanese
広義積分
kkKazakh
Өзіндік емес интеграл
koKorean
이상 적분
nlDutch
Oneigenlijke integraal
plPolish
Całka niewłaściwa
ptPortuguese
Integral imprópria
roRomanian
Integrală improprie
ruRussian
Несобственный интеграл
shSerbo-Croatian
Nepravi integral
srSerbian
Несвојствени интеграл
svSwedish
Generaliserad integral
trTurkish
Has olmayan integral
ukUkrainian
Невласний інтеграл
viVietnamese
Tích phân suy rộng
zhChinese
反常積分

Popularity rank trends

Best Rank Chinese:
#23346
12.2020
Global:
#25014
03.2015

AI rank trends

Best Rank Chinese:
#3948
12.2005
Global:
#7230
11.2003

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Improper integral from Wikipedia articles about Gamma function, Integral, Cauchy principal value, Riemann integral and Definite integral. Whereas reading the article about Improper integral people most often go to Wikipedia articles on Riemann integral, Lebesgue integration, Integral, Cauchy principal value and Abuse of notation.

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 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