巴拿赫-塔斯基定理

Banach–Tarski paradox - theorem that there exists a decomposition of a unit solid ball into a finite number of disjoint subsets, which can be put back together in a different way to yield two identical copies of the unit sphere. Article "巴拿赫-塔斯基定理" in Chinese Wikipedia has 15.1 points for quality (as of July 1, 2025). The article contains 0 references and 3 sections. The article also contains quality flaw template, which reduce quality score.

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 "巴拿赫-塔斯基定理", its content was written by 44 registered users of Chinese Wikipedia and edited by 974 registered Wikipedia users in all languages.

The article is cited 100 times in Chinese Wikipedia and cited 1029 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Chinese): #540 in April 2006
• Global: #1203 in April 2002

The highest popularity rank from 2008:

• Local (Chinese): #27739 in February 2013
• Global: #11126 in October 2010

There are 29 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.

#	Language	Quality grade	Quality score
1	English (en) Banach–Tarski paradox		55.6856
2	Spanish (es) Paradoja de Banach-Tarski		33.2227
3	Polish (pl) Paradoks Banacha-Tarskiego		28.0075
4	Croatian (hr) Paradoks Banacha i Tarskoga		24.434
5	Catalan (ca) Paradoxa de Banach-Tarski		24.0734
6	Estonian (et) Banachi-Tarski paradoks		22.3475
7	Arabic (ar) مفارقة باناخ وتارسكي		19.4373
8	German (de) Banach-Tarski-Paradoxon		17.3328
9	Chinese (zh) 巴拿赫-塔斯基定理		15.1002
10	Bulgarian (bg) Парадокс на Банах-Тарски		14.88

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The following table shows the most popular language versions of the article.

The most popular language versions of the article "巴拿赫-塔斯基定理" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Banach–Tarski paradox		4 334 070
2	Japanese (ja) バナッハ＝タルスキーのパラドックス		1 118 924
3	Russian (ru) Парадокс Банаха — Тарского		519 167
4	German (de) Banach-Tarski-Paradoxon		443 943
5	Polish (pl) Paradoks Banacha-Tarskiego		338 548
6	Spanish (es) Paradoja de Banach-Tarski		270 351
7	French (fr) Paradoxe de Banach-Tarski		206 706
8	Italian (it) Paradosso di Banach-Tarski		164 477
9	Chinese (zh) 巴拿赫-塔斯基定理		131 489
10	Portuguese (pt) Paradoxo de Banach–Tarski		95 394

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

The most popular language versions of the article "巴拿赫-塔斯基定理" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Banach–Tarski paradox		13 730
2	Japanese (ja) バナッハ＝タルスキーのパラドックス		2 725
3	Russian (ru) Парадокс Банаха — Тарского		2 075
4	German (de) Banach-Tarski-Paradoxon		1 284
5	French (fr) Paradoxe de Banach-Tarski		846
6	Spanish (es) Paradoja de Banach-Tarski		757
7	Polish (pl) Paradoks Banacha-Tarskiego		743
8	Chinese (zh) 巴拿赫-塔斯基定理		657
9	Italian (it) Paradosso di Banach-Tarski		431
10	Simple English (simple) Banach–Tarski paradox		362

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

Language versions of the article "巴拿赫-塔斯基定理" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Banach–Tarski paradox		296
2	German (de) Banach-Tarski-Paradoxon		86
3	French (fr) Paradoxe de Banach-Tarski		71
4	Russian (ru) Парадокс Банаха — Тарского		62
5	Polish (pl) Paradoks Banacha-Tarskiego		50
6	Japanese (ja) バナッハ＝タルスキーのパラドックス		45
7	Italian (it) Paradosso di Banach-Tarski		44
8	Chinese (zh) 巴拿赫-塔斯基定理		44
9	Hungarian (hu) Banach–Tarski-paradoxon		39
10	Hebrew (he) הפרדוקס של בנך-טרסקי		37

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

Language versions of the article "巴拿赫-塔斯基定理" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Arabic (ar) مفارقة باناخ وتارسكي		3
2	English (en) Banach–Tarski paradox		1
3	Polish (pl) Paradoks Banacha-Tarskiego		1
4	Bulgarian (bg) Парадокс на Банах-Тарски		0
5	Catalan (ca) Paradoxa de Banach-Tarski		0
6	Czech (cs) Banachův–Tarského paradox		0
7	German (de) Banach-Tarski-Paradoxon		0
8	Spanish (es) Paradoja de Banach-Tarski		0
9	Estonian (et) Banachi-Tarski paradoks		0
10	Persian (fa) پارادوکس باناخ–تارسکی		0

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The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "巴拿赫-塔斯基定理" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Banach–Tarski paradox		389
2	Chinese (zh) 巴拿赫-塔斯基定理		100
3	Ukrainian (uk) Парадокс Банаха — Тарського		97
4	Korean (ko) 바나흐-타르스키 역설		89
5	French (fr) Paradoxe de Banach-Tarski		31
6	Japanese (ja) バナッハ＝タルスキーのパラドックス		30
7	Russian (ru) Парадокс Банаха — Тарского		30
8	Spanish (es) Paradoja de Banach-Tarski		27
9	German (de) Banach-Tarski-Paradoxon		26
10	Simple English (simple) Banach–Tarski paradox		20

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#	Language	Value
ar	Arabic مفارقة باناخ وتارسكي
bg	Bulgarian Парадокс на Банах-Тарски
ca	Catalan Paradoxa de Banach-Tarski
cs	Czech Banachův–Tarského paradox
de	German Banach-Tarski-Paradoxon
en	English Banach–Tarski paradox
es	Spanish Paradoja de Banach-Tarski
et	Estonian Banachi-Tarski paradoks
fa	Persian پارادوکس باناخ–تارسکی
fi	Finnish Banachin–Tarskin paradoksi
fr	French Paradoxe de Banach-Tarski
he	Hebrew הפרדוקס של בנך-טרסקי
hr	Croatian Paradoks Banacha i Tarskoga
hu	Hungarian Banach–Tarski-paradoxon
id	Indonesian Paradoks Banach–Tarski
it	Italian Paradosso di Banach-Tarski
ja	Japanese バナッハ＝タルスキーのパラドックス
ka	Georgian ბანახის-ტარსკის პარადოქსი
ko	Korean 바나흐-타르스키 역설
nl	Dutch Banach-tarskiparadox
pl	Polish Paradoks Banacha-Tarskiego
pt	Portuguese Paradoxo de Banach–Tarski
ru	Russian Парадокс Банаха — Тарского
simple	Simple English Banach–Tarski paradox
sr	Serbian Банах-Тарски парадокс
sv	Swedish Banach-Tarskis paradox
uk	Ukrainian Парадокс Банаха — Тарського
vi	Vietnamese Nghịch lý Banach–Tarski
zh	Chinese 巴拿赫-塔斯基定理

Best Rank

Chinese: #27739 02.2013

Global: #11126 10.2010

Best Rank

Chinese: #540 04.2006

Global: #1203 04.2002

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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