Nonstandard analysis

en

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Nonstandard analysis

Quality:

Nonstandard analysis - alternative formulation of calculus using a logically rigorous notion of infinitesimal numbers. Article "Nonstandard analysis" in English Wikipedia has 48.5 points for quality (as of November 1, 2023). The article contains 30 references and 21 sections.

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

Since the creation of article "Nonstandard analysis", its content was written by 159 registered users of English Wikipedia and edited by 496 registered Wikipedia users in all languages.

The article is cited 298 times in English Wikipedia and cited 1100 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #2492 in August 2004
  • Global: #2626 in August 2004

The highest popularity rank from 2008:

  • Local (English): #197640 in April 2015
  • Global: #120561 in December 2009

There are 16 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
1English (en)
Nonstandard analysis
48.5269
2Spanish (es)
Análisis no estándar
44.7509
3Japanese (ja)
超準解析
42.6026
4Chinese (zh)
非标准分析
38.9825
5French (fr)
Analyse non standard
28.1701
6Swedish (sv)
Icke-standardanalys
22.3905
7German (de)
Nichtstandardanalysis
22.1444
8Persian (fa)
آنالیز غیراستاندارد
15.7725
9Estonian (et)
Mittestandardne analüüs
14.4928
10Portuguese (pt)
Análise não padronizada
11.7093
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 "Nonstandard analysis" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Nonstandard analysis
661 975
2Russian (ru)
Нестандартный анализ
163 210
3Japanese (ja)
超準解析
140 863
4German (de)
Nichtstandardanalysis
124 872
5French (fr)
Analyse non standard
96 522
6Italian (it)
Analisi non standard
92 186
7Chinese (zh)
非标准分析
33 328
8Portuguese (pt)
Análise não padronizada
15 033
9Korean (ko)
비표준 해석학
14 107
10Hebrew (he)
אנליזה לא סטנדרטית
11 375
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 "Nonstandard analysis" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Nonstandard analysis
4 023
2Russian (ru)
Нестандартный анализ
835
3German (de)
Nichtstandardanalysis
501
4French (fr)
Analyse non standard
490
5Japanese (ja)
超準解析
481
6Italian (it)
Analisi non standard
432
7Chinese (zh)
非标准分析
216
8Spanish (es)
Análisis no estándar
160
9Portuguese (pt)
Análise não padronizada
120
10Korean (ko)
비표준 해석학
93
More...

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

The highest AI

Language versions of the article "Nonstandard analysis" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Nonstandard analysis
159
2German (de)
Nichtstandardanalysis
75
3French (fr)
Analyse non standard
72
4Russian (ru)
Нестандартный анализ
40
5Italian (it)
Analisi non standard
39
6Japanese (ja)
超準解析
29
7Hebrew (he)
אנליזה לא סטנדרטית
19
8Chinese (zh)
非标准分析
17
9Swedish (sv)
Icke-standardanalys
14
10Portuguese (pt)
Análise não padronizada
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 "Nonstandard analysis" with the highest AI in October 2023
#LanguageAI awardRelative AI
1Italian (it)
Analisi non standard
2
2Russian (ru)
Нестандартный анализ
1
3German (de)
Nichtstandardanalysis
0
4English (en)
Nonstandard analysis
0
5Spanish (es)
Análisis no estándar
0
6Estonian (et)
Mittestandardne analüüs
0
7Persian (fa)
آنالیز غیراستاندارد
0
8French (fr)
Analyse non standard
0
9Hebrew (he)
אנליזה לא סטנדרטית
0
10Croatian (hr)
Nestandardna analiza
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 "Nonstandard analysis" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Nonstandard analysis
298
2Chinese (zh)
非标准分析
116
3Japanese (ja)
超準解析
111
4Russian (ru)
Нестандартный анализ
104
5Portuguese (pt)
Análise não padronizada
91
6Ukrainian (uk)
Нестандартний аналіз
84
7Korean (ko)
비표준 해석학
80
8French (fr)
Analyse non standard
65
9Italian (it)
Analisi non standard
47
10German (de)
Nichtstandardanalysis
45
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
deGerman
Nichtstandardanalysis
enEnglish
Nonstandard analysis
esSpanish
Análisis no estándar
etEstonian
Mittestandardne analüüs
faPersian
آنالیز غیراستاندارد
frFrench
Analyse non standard
heHebrew
אנליזה לא סטנדרטית
hrCroatian
Nestandardna analiza
itItalian
Analisi non standard
jaJapanese
超準解析
koKorean
비표준 해석학
ptPortuguese
Análise não padronizada
ruRussian
Нестандартный анализ
svSwedish
Icke-standardanalys
ukUkrainian
Нестандартний аналіз
zhChinese
非标准分析

Popularity rank trends

Best Rank English:
#197640
04.2015
Global:
#120561
12.2009

AI rank trends

Best Rank English:
#2492
08.2004
Global:
#2626
08.2004

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Nonstandard analysis from Wikipedia articles about Calculus, Hyperreal number, Infinitesimal, Differential and Mathematical analysis. Whereas reading the article about Nonstandard analysis people most often go to Wikipedia articles on Hyperreal number, Criticism of non-standard analysis, Archimedean property, Infinitesimal and Transfer principle.

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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In English Wikipedia the most popular articles on that day were: Yasuke, Harrison Butker, Robert Fico, Bridgerton, Deaths in 2024, Joyce Vincent, Hank Adams, It Ends with Us, YouTube, New Caledonia.

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