Rand (Topologie)

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Rand (Topologie)

Quality:

Boundary - dividing line between two areas or sets of points in a topological space; difference between the closure and the interior. Article "Rand (Topologie)" in German Wikipedia has 17.3 points for quality (as of November 1, 2023). The article contains 2 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 "Rand (Topologie)", its content was written by 40 registered users of German Wikipedia and edited by 424 registered Wikipedia users in all languages.

The article is cited 116 times in German Wikipedia and cited 1496 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (German): #21993 in May 2015
  • Global: #19125 in December 2002

The highest popularity rank from 2008:

  • Local (German): #61215 in May 2020
  • Global: #132738 in March 2009

There are 26 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

#LanguageQuality gradeQuality score
1English (en)
Boundary (topology)
34.841
2Indonesian (id)
Batas (topologi)
25.4322
3Estonian (et)
Raja (topoloogia)
23.8915
4Finnish (fi)
Reuna (topologia)
23.0357
5Polish (pl)
Brzeg (matematyka)
18.6333
6German (de)
Rand (Topologie)
17.2851
7Catalan (ca)
Frontera (topologia)
15.9651
8Romanian (ro)
Frontieră (topologie)
15.3561
9Ukrainian (uk)
Межа (топологія)
14.7986
10Czech (cs)
Hranice množiny
14.6299
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 "Rand (Topologie)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Boundary (topology)
831 981
2German (de)
Rand (Topologie)
175 175
3Polish (pl)
Brzeg (matematyka)
135 834
4Spanish (es)
Frontera (topología)
127 043
5Italian (it)
Frontiera (topologia)
126 377
6French (fr)
Frontière (topologie)
94 413
7Russian (ru)
Граница (топология)
63 399
8Japanese (ja)
境界 (位相空間論)
62 180
9Portuguese (pt)
Fronteira (matemática)
39 528
10Chinese (zh)
边界 (拓扑学)
33 663
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 "Rand (Topologie)" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Boundary (topology)
5 692
2French (fr)
Frontière (topologie)
1 056
3Spanish (es)
Frontera (topología)
895
4German (de)
Rand (Topologie)
884
5Italian (it)
Frontiera (topologia)
653
6Japanese (ja)
境界 (位相空間論)
386
7Russian (ru)
Граница (топология)
375
8Polish (pl)
Brzeg (matematyka)
293
9Portuguese (pt)
Fronteira (matemática)
265
10Chinese (zh)
边界 (拓扑学)
242
More...

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

The highest AI

Language versions of the article "Rand (Topologie)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Boundary (topology)
97
2German (de)
Rand (Topologie)
40
3Italian (it)
Frontiera (topologia)
35
4Polish (pl)
Brzeg (matematyka)
34
5French (fr)
Frontière (topologie)
33
6Russian (ru)
Граница (топология)
28
7Hebrew (he)
שפה (טופולוגיה)
21
8Dutch (nl)
Rand (topologie)
16
9Spanish (es)
Frontera (topología)
14
10Swedish (sv)
Rand (topologi)
12
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 "Rand (Topologie)" with the highest AI in October 2023
#LanguageAI awardRelative AI
1Esperanto (eo)
Rando (topologio)
1
2Catalan (ca)
Frontera (topologia)
0
3Czech (cs)
Hranice množiny
0
4German (de)
Rand (Topologie)
0
5English (en)
Boundary (topology)
0
6Spanish (es)
Frontera (topología)
0
7Estonian (et)
Raja (topoloogia)
0
8Persian (fa)
مرز (توپولوژی)
0
9Finnish (fi)
Reuna (topologia)
0
10French (fr)
Frontière (topologie)
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 "Rand (Topologie)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Boundary (topology)
249
2Italian (it)
Frontiera (topologia)
232
3German (de)
Rand (Topologie)
116
4French (fr)
Frontière (topologie)
99
5Polish (pl)
Brzeg (matematyka)
88
6Chinese (zh)
边界 (拓扑学)
88
7Hebrew (he)
שפה (טופולוגיה)
78
8Japanese (ja)
境界 (位相空間論)
78
9Romanian (ro)
Frontieră (topologie)
71
10Spanish (es)
Frontera (topología)
60
More...

Scores

Estimated value for Wikipedia:
German:
Global:
Popularity in October 2023:
German:
Global:
Popularity in all years:
German:
Global:
Authors in October 2023:
German:
Global:
Registered authors in all years:
German:
Global:
Citations:
German:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Frontera (topologia)
csCzech
Hranice množiny
deGerman
Rand (Topologie)
enEnglish
Boundary (topology)
eoEsperanto
Rando (topologio)
esSpanish
Frontera (topología)
etEstonian
Raja (topoloogia)
faPersian
مرز (توپولوژی)
fiFinnish
Reuna (topologia)
frFrench
Frontière (topologie)
heHebrew
שפה (טופולוגיה)
huHungarian
Határ (matematika)
idIndonesian
Batas (topologi)
itItalian
Frontiera (topologia)
jaJapanese
境界 (位相空間論)
koKorean
경계 (위상수학)
nlDutch
Rand (topologie)
plPolish
Brzeg (matematyka)
ptPortuguese
Fronteira (matemática)
roRomanian
Frontieră (topologie)
ruRussian
Граница (топология)
skSlovak
Hranica množiny
svSwedish
Rand (topologi)
ukUkrainian
Межа (топологія)
viVietnamese
Điểm biên
zhChinese
边界 (拓扑学)

Popularity rank trends

Best Rank German:
#61215
05.2020
Global:
#132738
03.2009

AI rank trends

Best Rank German:
#21993
05.2015
Global:
#19125
12.2002

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Boundary from Wikipedia articles about Open set, Möbius strip, Closure, Closed set and Interior. Whereas reading the article about Boundary people most often go to Wikipedia articles on Closure, Interior, Manifold, Interior point and Topological space.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 6 May 2024

On 6 May 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: Bernard Hill, YouTube, Eurovision Song Contest 2024, Lando Norris, Anne Hathaway, Facebook, Nicholas Galitzine, ChatGPT, The Idea of You, deaths in 2024.

In German Wikipedia the most popular articles on that day were: Liste der Raumfahrer, Bernard Hill, Heinz Hoenig, Der letzte Jude in Winniza, Arianne Borbach, Thousand-Island-Dressing, Ich beichte, Liste der größten Auslegerbrücken, César Luis Menotti, Eurotunnel.

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