バナッハ=タルスキーのパラドックス

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バナッハ=タルスキーのパラドックス

Quality:

Banach–Tarski paradox - idea of taking apart an object and constructing two identical copies of it. Article "バナッハ=タルスキーのパラドックス" in Japanese Wikipedia has 10.5 points for quality (as of November 1, 2023). The article contains 1 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 "バナッハ=タルスキーのパラドックス", its content was written by 45 registered users of Japanese Wikipedia and edited by 933 registered Wikipedia users in all languages.

The article is cited 29 times in Japanese Wikipedia and cited 999 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Japanese): #6119 in October 2014
  • Global: #1204 in April 2002

The highest popularity rank from 2008:

  • Local (Japanese): #1311 in December 2012
  • Global: #11152 in October 2010

There are 30 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)
Banach–Tarski paradox
54.1112
2Spanish (es)
Paradoja de Banach-Tarski
34.3271
3Polish (pl)
Paradoks Banacha-Tarskiego
28.2287
4Croatian (hr)
Paradoks Banacha i Tarskoga
25.0265
5Catalan (ca)
Paradoxa de Banach-Tarski
24.0891
6Estonian (et)
Banachi-Tarski paradoks
22.8013
7Arabic (ar)
مفارقة باناخ تارسكي
19.9137
8German (de)
Banach-Tarski-Paradoxon
17.5446
9Bulgarian (bg)
Парадокс на Банах-Тарски
15.3996
10Chinese (zh)
巴拿赫-塔斯基定理
15.2004
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 "バナッハ=タルスキーのパラドックス" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Banach–Tarski paradox
3 955 874
2Japanese (ja)
バナッハ=タルスキーのパラドックス
1 075 303
3Russian (ru)
Парадокс Банаха — Тарского
476 640
4German (de)
Banach-Tarski-Paradoxon
405 496
5Polish (pl)
Paradoks Banacha-Tarskiego
310 120
6Spanish (es)
Paradoja de Banach-Tarski
248 279
7French (fr)
Paradoxe de Banach-Tarski
185 438
8Italian (it)
Paradosso di Banach-Tarski
146 082
9Chinese (zh)
巴拿赫-塔斯基定理
115 648
10Portuguese (pt)
Paradoxo de Banach–Tarski
88 328
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 "バナッハ=タルスキーのパラドックス" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Banach–Tarski paradox
16 745
2Russian (ru)
Парадокс Банаха — Тарского
3 268
3Japanese (ja)
バナッハ=タルスキーのパラドックス
2 792
4German (de)
Banach-Tarski-Paradoxon
2 158
5Polish (pl)
Paradoks Banacha-Tarskiego
1 471
6French (fr)
Paradoxe de Banach-Tarski
1 123
7Spanish (es)
Paradoja de Banach-Tarski
1 095
8Chinese (zh)
巴拿赫-塔斯基定理
592
9Italian (it)
Paradosso di Banach-Tarski
565
10Korean (ko)
바나흐-타르스키 역설
431
More...

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

The highest AI

Language versions of the article "バナッハ=タルスキーのパラドックス" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Banach–Tarski paradox
277
2German (de)
Banach-Tarski-Paradoxon
83
3French (fr)
Paradoxe de Banach-Tarski
65
4Russian (ru)
Парадокс Банаха — Тарского
61
5Polish (pl)
Paradoks Banacha-Tarskiego
48
6Japanese (ja)
バナッハ=タルスキーのパラドックス
45
7Chinese (zh)
巴拿赫-塔斯基定理
44
8Italian (it)
Paradosso di Banach-Tarski
40
9Hungarian (hu)
Banach–Tarski-paradoxon
38
10Hebrew (he)
הפרדוקס של בנך-טרסקי
36
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 "バナッハ=タルスキーのパラドックス" with the highest AI in October 2023
#LanguageAI awardRelative AI
1English (en)
Banach–Tarski paradox
1
2French (fr)
Paradoxe de Banach-Tarski
1
3Hebrew (he)
הפרדוקס של בנך-טרסקי
1
4Arabic (ar)
مفارقة باناخ تارسكي
0
5Bulgarian (bg)
Парадокс на Банах-Тарски
0
6Catalan (ca)
Paradoxa de Banach-Tarski
0
7Czech (cs)
Banachův–Tarského paradox
0
8German (de)
Banach-Tarski-Paradoxon
0
9Greek (el)
Παράδοξο των Μπάναχ και Τάρσκι
0
10Spanish (es)
Paradoja de Banach-Tarski
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 "バナッハ=タルスキーのパラドックス" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Banach–Tarski paradox
388
2Ukrainian (uk)
Парадокс Банаха — Тарського
94
3Chinese (zh)
巴拿赫-塔斯基定理
92
4Korean (ko)
바나흐-타르스키 역설
90
5French (fr)
Paradoxe de Banach-Tarski
31
6Japanese (ja)
バナッハ=タルスキーのパラドックス
29
7Russian (ru)
Парадокс Банаха — Тарского
28
8German (de)
Banach-Tarski-Paradoxon
26
9Spanish (es)
Paradoja de Banach-Tarski
21
10Hebrew (he)
הפרדוקס של בנך-טרסקי
18
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

#LanguageValue
arArabic
مفارقة باناخ تارسكي
bgBulgarian
Парадокс на Банах-Тарски
caCatalan
Paradoxa de Banach-Tarski
csCzech
Banachův–Tarského paradox
deGerman
Banach-Tarski-Paradoxon
elGreek
Παράδοξο των Μπάναχ και Τάρσκι
enEnglish
Banach–Tarski paradox
esSpanish
Paradoja de Banach-Tarski
etEstonian
Banachi-Tarski paradoks
faPersian
پارادوکس باناخ–تارسکی
fiFinnish
Banachin–Tarskin paradoksi
frFrench
Paradoxe de Banach-Tarski
heHebrew
הפרדוקס של בנך-טרסקי
hrCroatian
Paradoks Banacha i Tarskoga
huHungarian
Banach–Tarski-paradoxon
idIndonesian
Paradoks Banach–Tarski
itItalian
Paradosso di Banach-Tarski
jaJapanese
バナッハ=タルスキーのパラドックス
kaGeorgian
ბანახის-ტარსკის პარადოქსი
koKorean
바나흐-타르스키 역설
nlDutch
Banach-tarskiparadox
plPolish
Paradoks Banacha-Tarskiego
ptPortuguese
Paradoxo de Banach–Tarski
ruRussian
Парадокс Банаха — Тарского
simpleSimple English
Banach–Tarski paradox
srSerbian
Банах-Тарски парадокс
svSwedish
Banach-Tarskis paradox
ukUkrainian
Парадокс Банаха — Тарського
viVietnamese
Nghịch lý Banach–Tarski
zhChinese
巴拿赫-塔斯基定理

Popularity rank trends

Best Rank Japanese:
#1311
12.2012
Global:
#11152
10.2010

AI rank trends

Best Rank Japanese:
#6119
10.2014
Global:
#1204
04.2002

Local popularity rank history

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Banach–Tarski paradox from Wikipedia articles about Stefan Banach, Axiom of choice, Pure mathematics, List of paradoxes and Paradox. Whereas reading the article about Banach–Tarski paradox people most often go to Wikipedia articles on Axiom of choice, Tarskis circle-squaring problem, Stefan Banach, Alfred Tarski and Hausdorff paradox.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 22 May 2024

On 22 May 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: Ademola Lookman, Atalanta BC, Toni Kroos, Gian Piero Gasperini, Bayer 04 Leverkusen, international recognition of the State of Palestine, UEFA Europa League, Ebrahim Raisi, State of Palestine, YouTube.

In Japanese Wikipedia the most popular articles on that day were: 中尾彬, 古谷徹, 池波志乃, 袴田事件, 光原エミカ, 江守徹, 小山茉美, 林田理沙, 袴田巌, 井上和彦 (声優).

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