코시-슈바르츠 부등식

Quality:

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 "코시-슈바르츠 부등식" in Korean Wikipedia has 22.4 points for quality (as of August 1, 2024). The article contains 7 references and 9 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 "코시-슈바르츠 부등식", its content was written by 31 registered users of Korean Wikipedia and edited by 1213 registered Wikipedia users in all languages.

The article is cited 43 times in Korean Wikipedia and cited 1569 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Korean): #160 in July 2006
• Global: #429 in August 2001

The highest popularity rank from 2008:

• Local (Korean): #384 in September 2021
• Global: #16768 in October 2021

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 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.

#	Language	Quality grade	Quality score
1	Slovenian (sl) Cauchy–Schwarzova neenakost		52.0511
2	English (en) Cauchy–Schwarz inequality		51.8081
3	Greek (el) Ανισότητα Κωσύ-Σβαρτς		41.7307
4	Serbian (sr) Коши-Шварцова неједнакост		34.904
5	Indonesian (id) Pertidaksamaan Cauchy–Schwarz		27.9122
6	French (fr) Inégalité de Cauchy-Schwarz		27.5599
7	Chinese (zh) 柯西-施瓦茨不等式		27.1283
8	Thai (th) อสมการโคชี-ชวาร์ซ		26.4003
9	German (de) Cauchy-Schwarzsche Ungleichung		24.1198
10	Korean (ko) 코시-슈바르츠 부등식		22.4352

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

#	Language	Popularity award	Relative popularity
1	English (en) Cauchy–Schwarz inequality		5 430 055
2	French (fr) Inégalité de Cauchy-Schwarz		1 029 146
3	German (de) Cauchy-Schwarzsche Ungleichung		934 361
4	Vietnamese (vi) Bất đẳng thức Cauchy–Schwarz		743 052
5	Chinese (zh) 柯西-施瓦茨不等式		671 508
6	Russian (ru) Неравенство Коши — Буняковского		632 861
7	Japanese (ja) コーシー＝シュワルツの不等式		574 567
8	Spanish (es) Desigualdad de Cauchy-Bunyakovsky-Schwarz		418 393
9	Italian (it) Disuguaglianza di Cauchy-Schwarz		364 586
10	Korean (ko) 코시-슈바르츠 부등식		360 397

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

#	Language	Popularity award	Relative popularity
1	English (en) Cauchy–Schwarz inequality		27 668
2	Chinese (zh) 柯西-施瓦茨不等式		4 922
3	German (de) Cauchy-Schwarzsche Ungleichung		4 425
4	Russian (ru) Неравенство Коши — Буняковского		2 627
5	French (fr) Inégalité de Cauchy-Schwarz		2 201
6	Japanese (ja) コーシー＝シュワルツの不等式		2 066
7	Hebrew (he) אי-שוויון קושי-שוורץ		1 700
8	Italian (it) Disuguaglianza di Cauchy-Schwarz		1 649
9	Vietnamese (vi) Bất đẳng thức Cauchy–Schwarz		1 389
10	Spanish (es) Desigualdad de Cauchy-Bunyakovsky-Schwarz		1 010

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

#	Language	AI award	Relative AI
1	English (en) Cauchy–Schwarz inequality		287
2	German (de) Cauchy-Schwarzsche Ungleichung		101
3	French (fr) Inégalité de Cauchy-Schwarz		97
4	Vietnamese (vi) Bất đẳng thức Cauchy–Schwarz		77
5	Russian (ru) Неравенство Коши — Буняковского		61
6	Italian (it) Disuguaglianza di Cauchy-Schwarz		49
7	Chinese (zh) 柯西-施瓦茨不等式		42
8	Dutch (nl) Ongelijkheid van Cauchy-Schwarz		41
9	Norwegian (no) Cauchy–Schwarz’ ulikhet		41
10	Hebrew (he) אי-שוויון קושי-שוורץ		39

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

#	Language	AI award	Relative AI
1	English (en) Cauchy–Schwarz inequality		2
2	German (de) Cauchy-Schwarzsche Ungleichung		1
3	Ukrainian (uk) Нерівність Коші — Буняковського		1
4	Arabic (ar) متباينة كوشي-شفارتس		0
5	Belarusian (be) Няроўнасць Кашы — Бунякоўскага		0
6	Catalan (ca) Desigualtat de Cauchy-Schwarz		0
7	Czech (cs) Cauchyho–Schwarzova nerovnost		0
8	Danish (da) Cauchy-Schwarz' ulighed		0
9	Greek (el) Ανισότητα Κωσύ-Σβαρτς		0
10	Spanish (es) Desigualdad de Cauchy-Bunyakovsky-Schwarz		0

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

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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 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