魏尔施特拉斯逼近定理

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魏尔施特拉斯逼近定理

Quality:

Stone–Weierstrass theorem - theorem that every continuous function on a compact Hausdorff space can be approximated by certain families of continuous functions. Article “魏尔施特拉斯逼近定理” in Chinese Wikipedia has 23.7 points for quality (as of July 1, 2025). The article contains 3 references and 7 sections.

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

In June 2025 the article “魏尔施特拉斯逼近定理” was edited by 1 authors in Chinese Wikipedia and written by 2 authors in all languages.

Since the creation of article “魏尔施特拉斯逼近定理”, its content was written by 17 registered users of Chinese Wikipedia and edited by 366 registered Wikipedia users in all languages.

The article is cited 108 times in Chinese Wikipedia and cited 678 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Chinese): #3742 in May 2005
  • Global: #1656 in November 2001

The highest popularity rank from 2008:

  • Local (Chinese): #55278 in January 2011
  • Global: #162835 in December 2014

There are 17 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
1English (en)
Stone–Weierstrass theorem
38.9121
2Dutch (nl)
Stelling van Stone-Weierstrass
25.4708
3Chinese (zh)
魏尔施特拉斯逼近定理
23.7122
4French (fr)
Théorème de Stone-Weierstrass
21.5879
5Polish (pl)
Twierdzenie Stone’a-Weierstrassa
20.9981
6Arabic (ar)
مبرهنة ستون-فايرشتراس
20.8628
7Italian (it)
Teorema di approssimazione di Weierstrass
18.4718
8Catalan (ca)
Teorema de Stone-Weierstrass
18.0398
9Spanish (es)
Teorema de aproximación de Weierstrass
17.0634
10Hebrew (he)
משפט הקירוב של ויירשטראס
16.7854
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 "魏尔施特拉斯逼近定理" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Stone–Weierstrass theorem
1 071 703
2French (fr)
Théorème de Stone-Weierstrass
225 104
3German (de)
Satz von Stone-Weierstraß
140 649
4Russian (ru)
Теорема Вейерштрасса — Стоуна
138 097
5Italian (it)
Teorema di approssimazione di Weierstrass
72 244
6Polish (pl)
Twierdzenie Stone’a-Weierstrassa
67 823
7Chinese (zh)
魏尔施特拉斯逼近定理
59 762
8Japanese (ja)
ストーン=ワイエルシュトラスの定理
56 831
9Spanish (es)
Teorema de aproximación de Weierstrass
52 135
10Portuguese (pt)
Teorema de Stone-Weierstrass
21 294
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 "魏尔施特拉斯逼近定理" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Stone–Weierstrass theorem
6 741
2French (fr)
Théorème de Stone-Weierstrass
796
3Russian (ru)
Теорема Вейерштрасса — Стоуна
601
4Japanese (ja)
ストーン=ワイエルシュトラスの定理
498
5German (de)
Satz von Stone-Weierstraß
496
6Chinese (zh)
魏尔施特拉斯逼近定理
245
7Italian (it)
Teorema di approssimazione di Weierstrass
202
8Spanish (es)
Teorema de aproximación de Weierstrass
198
9Polish (pl)
Twierdzenie Stone’a-Weierstrassa
190
10Portuguese (pt)
Teorema de Stone-Weierstrass
86
More...

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

The highest AI

Language versions of the article "魏尔施特拉斯逼近定理" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Stone–Weierstrass theorem
105
2French (fr)
Théorème de Stone-Weierstrass
58
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
17
8Japanese (ja)
ストーン=ワイエルシュトラスの定理
15
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 June 2025

Language versions of the article "魏尔施特拉斯逼近定理" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Stone–Weierstrass theorem
1
2Chinese (zh)
魏尔施特拉斯逼近定理
1
3Arabic (ar)
مبرهنة ستون-فايرشتراس
0
4Catalan (ca)
Teorema de Stone-Weierstrass
0
5German (de)
Satz von Stone-Weierstraß
0
6Spanish (es)
Teorema de aproximación de Weierstrass
0
7French (fr)
Théorème de Stone-Weierstrass
0
8Hebrew (he)
משפט הקירוב של ויירשטראס
0
9Hungarian (hu)
Weierstrass approximációs tétele
0
10Italian (it)
Teorema di approssimazione di Weierstrass
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 "魏尔施特拉斯逼近定理" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Italian (it)
Teorema di approssimazione di Weierstrass
148
2Chinese (zh)
魏尔施特拉斯逼近定理
108
3Polish (pl)
Twierdzenie Stone’a-Weierstrassa
106
4English (en)
Stone–Weierstrass theorem
86
5French (fr)
Théorème de Stone-Weierstrass
43
6German (de)
Satz von Stone-Weierstraß
35
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
15
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
arArabic
مبرهنة ستون-فايرشتراس
caCatalan
Teorema de Stone-Weierstrass
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 Chinese:
#55278
01.2011
Global:
#162835
12.2014

AI rank trends

Best Rank Chinese:
#3742
05.2005
Global:
#1656
11.2001

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Stone–Weierstrass theorem from Wikipedia articles about Weierstrass theorem, Bernstein polynomial, Runges phenomenon, Universal approximation theorem and . Whereas reading the article about Stone–Weierstrass theorem people most often go to Wikipedia articles on Bernstein polynomial, Weierstrass transform, Marshall Harvey Stone, Uniform convergence 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 26 September 2025

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In Chinese Wikipedia the most popular articles on that day were: 于朦胧, 今際之國的闖關者 (電視劇), 堰塞湖, BOYS II PLANET, 暴君的廚師, 鏈鋸人, 宋伊人, 颱風樺加沙, 馬太鞍溪堰塞湖溢流, 傅崐萁.

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