نابرابری کوشی–شوارتز

Cauchy–Schwarz inequality - a useful inequality encountered in many different settings, such as linear algebra, analysis, probability theory, vector algebra and other areas. It is considered to be one of the most important inequalities in all of mathematics. Article "نابرابری کوشی–شوارتز" in Persian Wikipedia has 16.7 points for quality (as of November 1, 2023). The article contains 3 references and 7 sections.

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

Since the creation of article "نابرابری کوشی–شوارتز", its content was written by 13 registered users of Persian Wikipedia and edited by 1185 registered Wikipedia users in all languages.

The article is cited 26 times in Persian Wikipedia and cited 1492 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Persian): #8064 in August 2012
• Global: #429 in August 2001

The highest popularity rank from 2008:

• Local (Persian): #16587 in October 2015
• Global: #16889 in October 2018

There are 39 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。

#	Language	Quality grade	Quality score
1	Slovenian (sl) Cauchy–Schwarzova neenakost		52.6483
2	English (en) Cauchy–Schwarz inequality		51.2153
3	Greek (el) Ανισότητα Κωσύ-Σβαρτς		42.6303
4	Serbian (sr) Коши-Шварцова неједнакост		35.2352
5	Indonesian (id) Pertidaksamaan Cauchy–Schwarz		27.9688
6	French (fr) Inégalité de Cauchy-Schwarz		27.6801
7	Thai (th) อสมการโคชี-ชวาร์ซ		25.705
8	German (de) Cauchy-Schwarzsche Ungleichung		24.317
9	Chinese (zh) 柯西-施瓦茨不等式		23.9356
10	Korean (ko) 코시-슈바르츠 부등식		22.618

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

The most popular language versions of the article "نابرابری کوشی–شوارتز" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Cauchy–Schwarz inequality		5 082 417
2	French (fr) Inégalité de Cauchy-Schwarz		979 567
3	German (de) Cauchy-Schwarzsche Ungleichung		889 422
4	Vietnamese (vi) Bất đẳng thức Cauchy–Schwarz		727 342
5	Chinese (zh) 柯西-施瓦茨不等式		622 804
6	Russian (ru) Неравенство Коши — Буняковского		595 647
7	Japanese (ja) コーシー＝シュワルツの不等式		554 476
8	Spanish (es) Desigualdad de Cauchy-Bunyakovsky-Schwarz		402 849
9	Korean (ko) 코시-슈바르츠 부등식		354 224
10	Italian (it) Disuguaglianza di Cauchy-Schwarz		346 600

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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 "نابرابری کوشی–شوارتز" in October 2023

#	Language	Popularity award	Relative popularity
1	English (en) Cauchy–Schwarz inequality		52 736
2	French (fr) Inégalité de Cauchy-Schwarz		8 009
3	Chinese (zh) 柯西-施瓦茨不等式		7 082
4	German (de) Cauchy-Schwarzsche Ungleichung		5 043
5	Russian (ru) Неравенство Коши — Буняковского		4 016
6	Japanese (ja) コーシー＝シュワルツの不等式		2 553
7	Italian (it) Disuguaglianza di Cauchy-Schwarz		2 428
8	Spanish (es) Desigualdad de Cauchy-Bunyakovsky-Schwarz		2 224
9	Korean (ko) 코시-슈바르츠 부등식		1 837
10	Vietnamese (vi) Bất đẳng thức Cauchy–Schwarz		1 667

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

Language versions of the article "نابرابری کوشی–شوارتز" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Cauchy–Schwarz inequality		279
2	German (de) Cauchy-Schwarzsche Ungleichung		98
3	French (fr) Inégalité de Cauchy-Schwarz		95
4	Vietnamese (vi) Bất đẳng thức Cauchy–Schwarz		76
5	Russian (ru) Неравенство Коши — Буняковского		60
6	Italian (it) Disuguaglianza di Cauchy-Schwarz		49
7	Dutch (nl) Ongelijkheid van Cauchy-Schwarz		41
8	Chinese (zh) 柯西-施瓦茨不等式		41
9	Norwegian (no) Cauchy–Schwarz’ ulikhet		40
10	Hungarian (hu) Cauchy–Bunyakovszkij–Schwarz-egyenlőtlenség		39

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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 "نابرابری کوشی–شوارتز" with the highest AI in October 2023

#	Language	AI award	Relative AI
1	English (en) Cauchy–Schwarz inequality		2
2	Hungarian (hu) Cauchy–Bunyakovszkij–Schwarz-egyenlőtlenség		1
3	Japanese (ja) コーシー＝シュワルツの不等式		1
4	Slovak (sk) Cauchyho-Schwarzova nerovnosť		1
5	Vietnamese (vi) Bất đẳng thức Cauchy–Schwarz		1
6	Arabic (ar) متباينة كوشي-شفارتس		0
7	Belarusian (be) Няроўнасць Кашы — Бунякоўскага		0
8	Catalan (ca) Desigualtat de Cauchy-Schwarz		0
9	Czech (cs) Cauchyho–Schwarzova nerovnost		0
10	Danish (da) Cauchy-Schwarz' ulighed		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 "نابرابری کوشی–شوارتز" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Cauchy–Schwarz inequality		296
2	Japanese (ja) コーシー＝シュワルツの不等式		197
3	Italian (it) Disuguaglianza di Cauchy-Schwarz		157
4	Chinese (zh) 柯西-施瓦茨不等式		106
5	French (fr) Inégalité de Cauchy-Schwarz		99
6	Hebrew (he) אי-שוויון קושי-שוורץ		82
7	German (de) Cauchy-Schwarzsche Ungleichung		73
8	Ukrainian (uk) Нерівність Коші — Буняковського		43
9	Korean (ko) 코시-슈바르츠 부등식		41
10	Russian (ru) Неравенство Коши — Буняковского		39

More...

#	Language	Value
ar	Arabic متباينة كوشي-شفارتس
be	Belarusian Няроўнасць Кашы — Бунякоўскага
ca	Catalan Desigualtat de Cauchy-Schwarz
cs	Czech Cauchyho–Schwarzova nerovnost
da	Danish Cauchy-Schwarz' ulighed
de	German Cauchy-Schwarzsche Ungleichung
el	Greek Ανισότητα Κωσύ-Σβαρτς
en	English Cauchy–Schwarz inequality
es	Spanish Desigualdad de Cauchy-Bunyakovsky-Schwarz
et	Estonian Cauchy-Schwarzi võrratus
eu	Basque Cauchy-Bunyakovsky-Schwarz-en desberdintza
fa	Persian نابرابری کوشی–شوارتز
fi	Finnish Cauchyn–Schwarzin epäyhtälö
fr	French Inégalité de Cauchy-Schwarz
he	Hebrew אי-שוויון קושי-שוורץ
hu	Hungarian Cauchy–Bunyakovszkij–Schwarz-egyenlőtlenség
id	Indonesian Pertidaksamaan Cauchy–Schwarz
it	Italian Disuguaglianza di Cauchy-Schwarz
ja	Japanese コーシー＝シュワルツの不等式
kk	Kazakh Коши-Буняковский теңсіздігі
ko	Korean 코시-슈바르츠 부등식
lt	Lithuanian Koši - Švarco nelygybė
nl	Dutch Ongelijkheid van Cauchy-Schwarz
no	Norwegian Cauchy–Schwarz’ ulikhet
pl	Polish Nierówność Cauchy’ego-Schwarza
pt	Portuguese Desigualdade de Cauchy-Schwarz
ro	Romanian Inegalitatea Cauchy-Schwarz
ru	Russian Неравенство Коши — Буняковского
sk	Slovak Cauchyho-Schwarzova nerovnosť
sl	Slovenian Cauchy–Schwarzova neenakost
sr	Serbian Коши-Шварцова неједнакост
sv	Swedish Cauchy–Schwarz olikhet
th	Thai อสมการโคชี-ชวาร์ซ
tr	Turkish Cauchy-Schwarz eşitsizliği
uk	Ukrainian Нерівність Коші — Буняковського
ur	Urdu کاشی شوارز نامساوات
uz	Uzbek Cauchy–Schwarz tengsizligi
vi	Vietnamese Bất đẳng thức Cauchy–Schwarz
zh	Chinese 柯西-施瓦茨不等式

Best Rank

Persian: #16587 10.2015

Global: #16889 10.2018

Best Rank

Persian: #8064 08.2012

Global: #429 08.2001

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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 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