Projection-valued measure

en

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Projection-valued measure

Quality:

Projection-valued measure - mathematical operator-valued measure of interest in quantum mechanics and functional analysis. Article "Projection-valued measure" in English Wikipedia has 27.5 points for quality (as of July 1, 2025). The article contains 12 references and 9 sections.

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

Since the creation of article "Projection-valued measure", its content was written by 39 registered users of English Wikipedia and edited by 137 registered Wikipedia users in all languages.

The article is cited 447 times in English Wikipedia and cited 608 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #33567 in October 2004
  • Global: #76613 in July 2010

The highest popularity rank from 2008:

  • Local (English): #499152 in April 2025
  • Global: #655685 in December 2008

There are 11 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.

Languages with the highest quality

#LanguageQuality gradeQuality score
1Chinese (zh)
投影值测度
33.868
2English (en)
Projection-valued measure
27.4754
3German (de)
Spektralmaß
17.0535
4Russian (ru)
Спектральная мера
13.9258
5Italian (it)
Misura a valori di proiettore
13.4651
6Hebrew (he)
מידה הטלתית
12.767
7Portuguese (pt)
Medida espectral
11.172
8Polish (pl)
Hermitowska miara spektralna
6.0418
9Spanish (es)
Medida espectral
3.2134
10French (fr)
Mesure spectrale
1.1333
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 "Projection-valued measure" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Projection-valued measure
171 602
2German (de)
Spektralmaß
46 418
3Italian (it)
Misura a valori di proiettore
16 240
4French (fr)
Mesure spectrale
13 177
5Polish (pl)
Hermitowska miara spektralna
11 730
6Spanish (es)
Medida espectral
8 014
7Hebrew (he)
מידה הטלתית
5 865
8Portuguese (pt)
Medida espectral
5 130
9Russian (ru)
Спектральная мера
1 386
10Dutch (nl)
Spectraalmaat
1 053
More...

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

Most popular in June 2025

The most popular language versions of the article "Projection-valued measure" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Projection-valued measure
1 684
2German (de)
Spektralmaß
132
3Russian (ru)
Спектральная мера
57
4Italian (it)
Misura a valori di proiettore
56
5French (fr)
Mesure spectrale
42
6Chinese (zh)
投影值测度
35
7Polish (pl)
Hermitowska miara spektralna
17
8Spanish (es)
Medida espectral
14
9Portuguese (pt)
Medida espectral
12
10Hebrew (he)
מידה הטלתית
9
More...

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

The highest AI

Language versions of the article "Projection-valued measure" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Projection-valued measure
39
2German (de)
Spektralmaß
35
3Italian (it)
Misura a valori di proiettore
21
4French (fr)
Mesure spectrale
12
5Hebrew (he)
מידה הטלתית
9
6Polish (pl)
Hermitowska miara spektralna
8
7Spanish (es)
Medida espectral
4
8Dutch (nl)
Spectraalmaat
4
9Portuguese (pt)
Medida espectral
2
10Chinese (zh)
投影值测度
2
More...

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

The highest AI in June 2025

Language versions of the article "Projection-valued measure" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Spektralmaß
0
2English (en)
Projection-valued measure
0
3Spanish (es)
Medida espectral
0
4French (fr)
Mesure spectrale
0
5Hebrew (he)
מידה הטלתית
0
6Italian (it)
Misura a valori di proiettore
0
7Dutch (nl)
Spectraalmaat
0
8Polish (pl)
Hermitowska miara spektralna
0
9Portuguese (pt)
Medida espectral
0
10Russian (ru)
Спектральная мера
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 "Projection-valued measure" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Projection-valued measure
447
2Chinese (zh)
投影值测度
88
3German (de)
Spektralmaß
26
4Italian (it)
Misura a valori di proiettore
14
5Spanish (es)
Medida espectral
11
6French (fr)
Mesure spectrale
10
7Portuguese (pt)
Medida espectral
5
8Polish (pl)
Hermitowska miara spektralna
4
9Hebrew (he)
מידה הטלתית
2
10Russian (ru)
Спектральная мера
1
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Spektralmaß
enEnglish
Projection-valued measure
esSpanish
Medida espectral
frFrench
Mesure spectrale
heHebrew
מידה הטלתית
itItalian
Misura a valori di proiettore
nlDutch
Spectraalmaat
plPolish
Hermitowska miara spektralna
ptPortuguese
Medida espectral
ruRussian
Спектральная мера
zhChinese
投影值测度

Popularity rank trends

Best Rank English:
#499152
04.2025
Global:
#655685
12.2008

AI rank trends

Best Rank English:
#33567
10.2004
Global:
#76613
07.2010

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Projection-valued measure from Wikipedia articles about Measure, Positive-operator-valued measure, Measurement in quantum mechanics, Spectral theorem and Born rule. Whereas reading the article about Projection-valued measure people most often go to Wikipedia articles on Positive-operator-valued measure, Self-adjoint operator, Spectral theorem, Projection and Measurement in quantum mechanics.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 12 August 2025

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In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

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 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