随伴作用素

Hermitian adjoint - continuous dual of a Hermitian operator. Article "随伴作用素" in Japanese Wikipedia has 18.2 points for quality (as of July 1, 2025). The article contains 10 references and 10 sections.

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

Since the creation of article "随伴作用素", its content was written by 20 registered users of Japanese Wikipedia and edited by 359 registered Wikipedia users in all languages.

The article is cited 102 times in Japanese Wikipedia and cited 1392 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Japanese): #1249 in June 2003
• Global: #21088 in May 2004

The highest popularity rank from 2008:

• Local (Japanese): #126653 in July 2013
• Global: #95002 in April 2015

There are 19 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	Catalan (ca) Operador adjunt		34.0788
2	English (en) Hermitian adjoint		32.8218
3	French (fr) Opérateur adjoint		24.1019
4	Italian (it) Operatore aggiunto		24.0135
5	Romanian (ro) Operator adjunct		23.3169
6	Portuguese (pt) Operador adjunto		21.2624
7	Japanese (ja) 随伴作用素		18.1855
8	German (de) Adjungierter Operator		14.6653
9	Polish (pl) Operator sprzężony (przestrzenie Hilberta)		14.1938
10	Chinese (zh) 埃尔米特伴随		13.6586

More...

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

The most popular language versions of the article "随伴作用素" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Hermitian adjoint		1 845 380
2	German (de) Adjungierter Operator		282 607
3	Russian (ru) Сопряжённый оператор		218 611
4	French (fr) Opérateur adjoint		205 424
5	Italian (it) Operatore aggiunto		131 892
6	Japanese (ja) 随伴作用素		115 828
7	Spanish (es) Operador adjunto		111 915
8	Chinese (zh) 埃尔米特伴随		91 558
9	Portuguese (pt) Operador adjunto		74 726
10	Hebrew (he) אופרטור צמוד		51 470

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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 "随伴作用素" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Hermitian adjoint		6 552
2	Russian (ru) Сопряжённый оператор		1 122
3	German (de) Adjungierter Operator		864
4	French (fr) Opérateur adjoint		671
5	Italian (it) Operatore aggiunto		593
6	Japanese (ja) 随伴作用素		408
7	Chinese (zh) 埃尔米特伴随		362
8	Spanish (es) Operador adjunto		359
9	Hebrew (he) אופרטור צמוד		275
10	Polish (pl) Operator sprzężony (przestrzenie Hilberta)		217

More...

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

Language versions of the article "随伴作用素" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Hermitian adjoint		86
2	French (fr) Opérateur adjoint		45
3	German (de) Adjungierter Operator		41
4	Russian (ru) Сопряжённый оператор		26
5	Italian (it) Operatore aggiunto		24
6	Polish (pl) Operator sprzężony (przestrzenie Hilberta)		21
7	Portuguese (pt) Operador adjunto		21
8	Japanese (ja) 随伴作用素		20
9	Hebrew (he) אופרטור צמוד		14
10	Dutch (nl) Toegevoegde operator		12

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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 "随伴作用素" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Arabic (ar) مساعد هيرميتي		0
2	Catalan (ca) Operador adjunt		0
3	Czech (cs) Sdružený operátor		0
4	German (de) Adjungierter Operator		0
5	English (en) Hermitian adjoint		0
6	Esperanto (eo) Adjunkta operatoro		0
7	Spanish (es) Operador adjunto		0
8	French (fr) Opérateur adjoint		0
9	Hebrew (he) אופרטור צמוד		0
10	Italian (it) Operatore aggiunto		0

More...

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

Language versions of the article "随伴作用素" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Hermitian adjoint		682
2	Chinese (zh) 埃尔米特伴随		131
3	Japanese (ja) 随伴作用素		102
4	German (de) Adjungierter Operator		80
5	French (fr) Opérateur adjoint		60
6	Korean (ko) 에르미트 수반		48
7	Italian (it) Operatore aggiunto		44
8	Russian (ru) Сопряжённый оператор		44
9	Ukrainian (uk) Спряжений оператор		40
10	Spanish (es) Operador adjunto		24

More...

#	Language	Value
ar	Arabic مساعد هيرميتي
ca	Catalan Operador adjunt
cs	Czech Sdružený operátor
de	German Adjungierter Operator
en	English Hermitian adjoint
eo	Esperanto Adjunkta operatoro
es	Spanish Operador adjunto
fr	French Opérateur adjoint
he	Hebrew אופרטור צמוד
it	Italian Operatore aggiunto
ja	Japanese 随伴作用素
ko	Korean 에르미트 수반
nl	Dutch Toegevoegde operator
pl	Polish Operator sprzężony (przestrzenie Hilberta)
pt	Portuguese Operador adjunto
ro	Romanian Operator adjunct
ru	Russian Сопряжённый оператор
uk	Ukrainian Спряжений оператор
zh	Chinese 埃尔米特伴随

Best Rank

Japanese: #126653 07.2013

Global: #95002 04.2015

Best Rank

Japanese: #1249 06.2003

Global: #21088 05.2004

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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