Nonstandard analysis

Nonstandard analysis - alternative formulation of calculus using a logically rigorous notion of infinitesimal numbers. Article “Nonstandard analysis” in English Wikipedia has 48.7 points for quality (as of July 1, 2025). The article contains 31 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 (English) language version.

Since the creation of article “Nonstandard analysis”, its content was written by 173 registered users of English Wikipedia and edited by 533 registered Wikipedia users in all languages.

The article is cited 305 times in English Wikipedia and cited 1154 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #2489 in August 2004
• Global: #2623 in August 2004

The highest popularity rank from 2008:

• Local (English): #197069 in April 2015
• Global: #120318 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 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.

#	Language	Quality grade	Quality score
1	English (en) Nonstandard analysis		48.693
2	Japanese (ja) 超準解析		43.4311
3	Spanish (es) Análisis no estándar		42.2779
4	Chinese (zh) 非标准分析		38.7794
5	French (fr) Analyse non standard		28.1641
6	German (de) Nichtstandardanalysis		21.6805
7	Swedish (sv) Icke-standardanalys		21.6084
8	Persian (fa) آنالیز غیراستاندارد		16.2604
9	Estonian (et) Mittestandardne analüüs		14.2843
10	Portuguese (pt) Análise não padronizada		11.6971

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The following table shows the most popular language versions of the article.

The most popular language versions of the article "Nonstandard analysis" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Nonstandard analysis		729 435
2	Russian (ru) Нестандартный анализ		176 423
3	Japanese (ja) 超準解析		155 355
4	German (de) Nichtstandardanalysis		132 002
5	French (fr) Analyse non standard		103 372
6	Italian (it) Analisi non standard		99 809
7	Chinese (zh) 非标准分析		38 795
8	Portuguese (pt) Análise não padronizada		16 443
9	Korean (ko) 비표준 해석학		16 153
10	Hebrew (he) אנליזה לא סטנדרטית		12 475

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

The most popular language versions of the article "Nonstandard analysis" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Nonstandard analysis		3 753
2	Japanese (ja) 超準解析		845
3	Russian (ru) Нестандартный анализ		589
4	French (fr) Analyse non standard		290
5	German (de) Nichtstandardanalysis		273
6	Italian (it) Analisi non standard		260
7	Chinese (zh) 非标准分析		240
8	Spanish (es) Análisis no estándar		144
9	Korean (ko) 비표준 해석학		123
10	Portuguese (pt) Análise não padronizada		73

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

Language versions of the article "Nonstandard analysis" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Nonstandard analysis		173
2	German (de) Nichtstandardanalysis		78
3	French (fr) Analyse non standard		78
4	Italian (it) Analisi non standard		44
5	Russian (ru) Нестандартный анализ		40
6	Japanese (ja) 超準解析		32
7	Hebrew (he) אנליזה לא סטנדרטית		19
8	Chinese (zh) 非标准分析		17
9	Swedish (sv) Icke-standardanalys		15
10	Portuguese (pt) Análise não padronizada		11

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

Language versions of the article "Nonstandard analysis" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Swedish (sv) Icke-standardanalys		1
2	German (de) Nichtstandardanalysis		0
3	English (en) Nonstandard analysis		0
4	Spanish (es) Análisis no estándar		0
5	Estonian (et) Mittestandardne analüüs		0
6	Persian (fa) آنالیز غیراستاندارد		0
7	French (fr) Analyse non standard		0
8	Hebrew (he) אנליזה לא סטנדרטית		0
9	Croatian (hr) Nestandardna analiza		0
10	Italian (it) Analisi non standard		0

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The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "Nonstandard analysis" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Nonstandard analysis		305
2	Chinese (zh) 非标准分析		119
3	Japanese (ja) 超準解析		114
4	Russian (ru) Нестандартный анализ		106
5	Ukrainian (uk) Нестандартний аналіз		100
6	Portuguese (pt) Análise não padronizada		91
7	Korean (ko) 비표준 해석학		85
8	French (fr) Analyse non standard		64
9	Italian (it) Analisi non standard		57
10	German (de) Nichtstandardanalysis		45

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#	Language	Value
de	German Nichtstandardanalysis
en	English Nonstandard analysis
es	Spanish Análisis no estándar
et	Estonian Mittestandardne analüüs
fa	Persian آنالیز غیراستاندارد
fr	French Analyse non standard
he	Hebrew אנליזה לא סטנדרטית
hr	Croatian Nestandardna analiza
it	Italian Analisi non standard
ja	Japanese 超準解析
ko	Korean 비표준 해석학
pt	Portuguese Análise não padronizada
ru	Russian Нестандартный анализ
sv	Swedish Icke-standardanalys
uk	Ukrainian Нестандартний аналіз
zh	Chinese 非标准分析

Best Rank

English: #197069 04.2015

Global: #120318 12.2009

Best Rank

English: #2489 08.2004

Global: #2623 08.2004

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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