エルミート作用素

Quality:

Self-adjoint operator - densely defined operator on a Hilbert space whose domain coincides with that of its adjoint and which equals its adjoint; symmetric operator whose adjoint's domain equals its own domain. Article "エルミート作用素" in Japanese Wikipedia has 4.5 points for quality (as of November 1, 2023). The article contains 0 references and 6 sections. The article also contains quality flaw template, which reduce quality score.

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

Since the creation of article "エルミート作用素", its content was written by 24 registered users of Japanese Wikipedia and edited by 312 registered Wikipedia users in all languages.

The article is cited 146 times in Japanese Wikipedia and cited 1077 times in all languages.

The highest Authors Interest rank from 2001:

Local (Japanese): #8816 in October 2004
Global: #27951 in February 2003

The highest popularity rank from 2008:

Local (Japanese): #101800 in July 2008
Global: #96255 in November 2014

There are 13 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

#	Language	Quality score
1	English (en) Self-adjoint operator	48.1777
2	German (de) Selbstadjungierter Operator	33.823
3	Italian (it) Operatore autoaggiunto	32.9177
4	Czech (cs) Samoadjungovaný operátor	29.355
5	Greek (el) Αυτοσυζυγής τελεστής	25.8186
6	Portuguese (pt) Operador autoadjunto	14.6124
7	French (fr) Endomorphisme autoadjoint	13.8035
8	Korean (ko) 자기 수반 작용소	12.5674
9	Polish (pl) Operator samosprzężony	7.4576
10	Chinese (zh) 自伴算子	6.589

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 "エルミート作用素" in all the time

#	Language	Relative popularity
1	English (en) Self-adjoint operator	1 680 646
2	German (de) Selbstadjungierter Operator	239 241
3	Italian (it) Operatore autoaggiunto	220 479
4	French (fr) Endomorphisme autoadjoint	195 223
5	Japanese (ja) エルミート作用素	192 478
6	Chinese (zh) 自伴算子	136 523
7	Portuguese (pt) Operador autoadjunto	61 178
8	Polish (pl) Operator samosprzężony	20 801
9	Korean (ko) 자기 수반 작용소	11 561
10	Greek (el) Αυτοσυζυγής τελεστής	9 452

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 "エルミート作用素" in October 2023

#	Language	Relative popularity
1	English (en) Self-adjoint operator	9 663
2	Italian (it) Operatore autoaggiunto	1 405
3	Chinese (zh) 自伴算子	1 184
4	French (fr) Endomorphisme autoadjoint	941
5	German (de) Selbstadjungierter Operator	652
6	Japanese (ja) エルミート作用素	638
7	Portuguese (pt) Operador autoadjunto	392
8	Polish (pl) Operator samosprzężony	173
9	Korean (ko) 자기 수반 작용소	121
10	Persian (fa) عملگر خودالحاقی	79

More...

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

The highest AI

Language versions of the article "エルミート作用素" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	Relative AI
1	English (en) Self-adjoint operator	136
2	Italian (it) Operatore autoaggiunto	36
3	German (de) Selbstadjungierter Operator	35
4	Japanese (ja) エルミート作用素	24
5	French (fr) Endomorphisme autoadjoint	23
6	Portuguese (pt) Operador autoadjunto	17
7	Chinese (zh) 自伴算子	15
8	Greek (el) Αυτοσυζυγής τελεστής	9
9	Korean (ko) 자기 수반 작용소	6
10	Polish (pl) Operator samosprzężony	5

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 "エルミート作用素" with the highest AI in October 2023

#	Language	Relative AI
1	English (en) Self-adjoint operator	1
2	Arabic (ar) مؤثر مساعد ذاتي	0
3	Czech (cs) Samoadjungovaný operátor	0
4	German (de) Selbstadjungierter Operator	0
5	Greek (el) Αυτοσυζυγής τελεστής	0
6	Persian (fa) عملگر خودالحاقی	0
7	French (fr) Endomorphisme autoadjoint	0
8	Italian (it) Operatore autoaggiunto	0
9	Japanese (ja) エルミート作用素	0
10	Korean (ko) 자기 수반 작용소	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 "エルミート作用素" with the highest Citation Index (CI)

#	Language	Relative CI
1	English (en) Self-adjoint operator	362
2	Japanese (ja) エルミート作用素	146
3	Chinese (zh) 自伴算子	128
4	German (de) Selbstadjungierter Operator	110
5	French (fr) Endomorphisme autoadjoint	102
6	Italian (it) Operatore autoaggiunto	95
7	Korean (ko) 자기 수반 작용소	56
8	Portuguese (pt) Operador autoadjunto	31
9	Polish (pl) Operator samosprzężony	15
10	Persian (fa) عملگر خودالحاقی	11

More...

Scores

Estimated value for Wikipedia:

Japanese:

Global:

Popularity in October 2023:

Japanese:

Global:

Popularity in all years:

Japanese:

Global:

Authors in October 2023:

Japanese:

Global:

Registered authors in all years:

Japanese:

Global:

Citations:

Japanese:

Global:

Quality measures

Interwikis

#	Language	Value
ar	Arabic مؤثر مساعد ذاتي
cs	Czech Samoadjungovaný operátor
de	German Selbstadjungierter Operator
el	Greek Αυτοσυζυγής τελεστής
en	English Self-adjoint operator
fa	Persian عملگر خودالحاقی
fr	French Endomorphisme autoadjoint
it	Italian Operatore autoaggiunto
ja	Japanese エルミート作用素
ko	Korean 자기 수반 작용소
pl	Polish Operator samosprzężony
pt	Portuguese Operador autoadjunto
zh	Chinese 自伴算子

Popularity rank trends

Best Rank	Japanese: #101800 07.2008	Global: #96255 11.2014

AI rank trends

Best Rank	Japanese: #8816 10.2004	Global: #27951 02.2003

Local AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Self-adjoint operator from Wikipedia articles about Hermitian adjoint, Spectral theorem, Schrödinger equation, Hamiltonian operator and Self-adjoint. Whereas reading the article about Self-adjoint operator people most often go to Wikipedia articles on Hermitian adjoint, Hermitian matrix, Spectral theorem, Hilbert space and Self-adjoint matrix.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

en: Self-adjoint operator

de: Selbstadjungierter Operator

it: Operatore autoaggiunto

fr: Endomorphisme autoadjoint

ja: エルミート作用素

zh: 自伴算子

pt: Operador autoadjunto

pl: Operator samosprzężony

ko: 자기 수반 작용소

el: Αυτοσυζυγής τελεστής

fa: عملگر خودالحاقی

cs: Samoadjungovaný operátor

ar: مؤثر مساعد ذاتي

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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

Quality and popularity assessment of Wikipedia

エルミート作用素