ストーン=ワイエルシュトラスの定理

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ストーン=ワイエルシュトラスの定理

Quality:

Stone–Weierstrass theorem - theorem that every continuous function on a compact Hausdorff space can be approximated by certain families of continuous functions. Article "ストーン=ワイエルシュトラスの定理" in Japanese Wikipedia has 7.1 points for quality (as of August 1, 2024). The article contains 0 references and 8 sections.

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 "ストーン=ワイエルシュトラスの定理", its content was written by 14 registered users of Japanese Wikipedia and edited by 352 registered Wikipedia users in all languages.

The article is cited 29 times in Japanese Wikipedia and cited 661 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Japanese): #7766 in October 2021
  • Global: #1648 in November 2001

The highest popularity rank from 2008:

  • Local (Japanese): #247530 in May 2021
  • Global: #162966 in December 2014

There are 16 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.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Stone–Weierstrass theorem
39.0072
2Dutch (nl)
Stelling van Stone-Weierstrass
25.4906
3French (fr)
Théorème de Stone-Weierstrass
21.647
4Arabic (ar)
مبرهنة ستون-فايرشتراس
21.4711
5Polish (pl)
Twierdzenie Stone’a-Weierstrassa
21.1032
6Italian (it)
Teorema di approssimazione di Weierstrass
18.4652
7Spanish (es)
Teorema de aproximación de Weierstrass
17.4404
8Hebrew (he)
משפט הקירוב של ויירשטראס
17.153
9Ukrainian (uk)
Теорема Веєрштрасса — Стоуна
16.9088
10Chinese (zh)
魏尔施特拉斯逼近定理
15.9184
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 "ストーン=ワイエルシュトラスの定理" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Stone–Weierstrass theorem
992 088
2French (fr)
Théorème de Stone-Weierstrass
214 666
3German (de)
Satz von Stone-Weierstraß
134 985
4Russian (ru)
Теорема Вейерштрасса — Стоуна
131 165
5Italian (it)
Teorema di approssimazione di Weierstrass
69 182
6Polish (pl)
Twierdzenie Stone’a-Weierstrassa
66 184
7Chinese (zh)
魏尔施特拉斯逼近定理
56 013
8Japanese (ja)
ストーン=ワイエルシュトラスの定理
52 831
9Spanish (es)
Teorema de aproximación de Weierstrass
49 321
10Portuguese (pt)
Teorema de Stone-Weierstrass
20 408
More...

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

Most popular in July 2024

The most popular language versions of the article "ストーン=ワイエルシュトラスの定理" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Stone–Weierstrass theorem
5 695
2German (de)
Satz von Stone-Weierstraß
607
3French (fr)
Théorème de Stone-Weierstrass
493
4Russian (ru)
Теорема Вейерштрасса — Стоуна
436
5Japanese (ja)
ストーン=ワイエルシュトラスの定理
385
6Italian (it)
Teorema di approssimazione di Weierstrass
377
7Chinese (zh)
魏尔施特拉斯逼近定理
266
8Spanish (es)
Teorema de aproximación de Weierstrass
188
9Hebrew (he)
משפט הקירוב של ויירשטראס
156
10Polish (pl)
Twierdzenie Stone’a-Weierstrassa
129
More...

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

The highest AI

Language versions of the article "ストーン=ワイエルシュトラスの定理" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Stone–Weierstrass theorem
101
2French (fr)
Théorème de Stone-Weierstrass
53
3German (de)
Satz von Stone-Weierstraß
50
4Italian (it)
Teorema di approssimazione di Weierstrass
29
5Russian (ru)
Теорема Вейерштрасса — Стоуна
26
6Polish (pl)
Twierdzenie Stone’a-Weierstrassa
19
7Chinese (zh)
魏尔施特拉斯逼近定理
16
8Japanese (ja)
ストーン=ワイエルシュトラスの定理
14
9Swedish (sv)
Stone–Weierstrass sats
11
10Portuguese (pt)
Teorema de Stone-Weierstrass
8
More...

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

The highest AI in July 2024

Language versions of the article "ストーン=ワイエルシュトラスの定理" with the highest AI in July 2024
#LanguageAI awardRelative AI
1Ukrainian (uk)
Теорема Веєрштрасса — Стоуна
1
2Arabic (ar)
مبرهنة ستون-فايرشتراس
0
3German (de)
Satz von Stone-Weierstraß
0
4English (en)
Stone–Weierstrass theorem
0
5Spanish (es)
Teorema de aproximación de Weierstrass
0
6French (fr)
Théorème de Stone-Weierstrass
0
7Hebrew (he)
משפט הקירוב של ויירשטראס
0
8Hungarian (hu)
Weierstrass approximációs tétele
0
9Italian (it)
Teorema di approssimazione di Weierstrass
0
10Japanese (ja)
ストーン=ワイエルシュトラスの定理
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 "ストーン=ワイエルシュトラスの定理" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Italian (it)
Teorema di approssimazione di Weierstrass
147
2Chinese (zh)
魏尔施特拉斯逼近定理
106
3Polish (pl)
Twierdzenie Stone’a-Weierstrassa
104
4English (en)
Stone–Weierstrass theorem
84
5French (fr)
Théorème de Stone-Weierstrass
43
6German (de)
Satz von Stone-Weierstraß
34
7Russian (ru)
Теорема Вейерштрасса — Стоуна
33
8Arabic (ar)
مبرهنة ستون-فايرشتراس
29
9Japanese (ja)
ストーン=ワイエルシュトラスの定理
29
10Ukrainian (uk)
Теорема Веєрштрасса — Стоуна
14
More...

Scores

Estimated value for Wikipedia:
Japanese:
Global:
Popularity in July 2024:
Japanese:
Global:
Popularity in all years:
Japanese:
Global:
Authors in July 2024:
Japanese:
Global:
Registered authors in all years:
Japanese:
Global:
Citations:
Japanese:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
مبرهنة ستون-فايرشتراس
deGerman
Satz von Stone-Weierstraß
enEnglish
Stone–Weierstrass theorem
esSpanish
Teorema de aproximación de Weierstrass
frFrench
Théorème de Stone-Weierstrass
heHebrew
משפט הקירוב של ויירשטראס
huHungarian
Weierstrass approximációs tétele
itItalian
Teorema di approssimazione di Weierstrass
jaJapanese
ストーン=ワイエルシュトラスの定理
nlDutch
Stelling van Stone-Weierstrass
plPolish
Twierdzenie Stone’a-Weierstrassa
ptPortuguese
Teorema de Stone-Weierstrass
ruRussian
Теорема Вейерштрасса — Стоуна
svSwedish
Stone–Weierstrass sats
ukUkrainian
Теорема Веєрштрасса — Стоуна
zhChinese
魏尔施特拉斯逼近定理

Popularity rank trends

Best Rank Japanese:
#247530
05.2021
Global:
#162966
12.2014

AI rank trends

Best Rank Japanese:
#7766
10.2021
Global:
#1648
11.2001

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Stone–Weierstrass theorem from Wikipedia articles about Weierstrass theorem, Bernstein polynomial, Runges phenomenon, Karl Weierstraß and Universal approximation theorem. Whereas reading the article about Stone–Weierstrass theorem people most often go to Wikipedia articles on Bernstein polynomial, Weierstrass transform, Uniform convergence, Marshall Harvey Stone and Separating set.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 15 December 2024

On 15 December 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: Syria, Bashar al-Assad, One Hundred Years of Solitude, Ayrton Senna, Mayotte, Kraven the Hunter, Amad Diallo, Empress Elisabeth of Austria, Red One, deaths in 2024.

In Japanese Wikipedia the most popular articles on that day were: 藤原道長, 紫式部, 栗原玲児, 栗原はるみ, 平忠常の乱, 蔦屋重三郎, 第22回NHK紅白歌合戦, 八木莉可子, 渡辺謙, 更級日記.

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 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