Nierówność Bernoulliego

Bernoulli's inequality - inequality that (1+x)ⁿ ≥ 1+nx for x ≥ −1 and n∈ℕ. Article "Nierówność Bernoulliego" in Polish Wikipedia has 11.9 points for quality (as of November 1, 2023). The article contains 1 references and 3 sections.

This article has the best quality in German Wikipedia. However, the most popular language version of this article is English.

Since the creation of article "Nierówność Bernoulliego", its content was written by 16 registered users of Polish Wikipedia and edited by 479 registered Wikipedia users in all languages.

The article is cited 5 times in Polish Wikipedia and cited 247 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Polish): #1569 in May 2004
• Global: #2763 in December 2001

The highest popularity rank from 2008:

• Local (Polish): #29563 in October 2018
• Global: #75754 in November 2018

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。

#	Language	Quality grade	Quality score
1	German (de) Bernoullische Ungleichung		42.7568
2	Hungarian (hu) Bernoulli-egyenlőtlenség		32.0462
3	English (en) Bernoulli's inequality		31.0514
4	Greek (el) Ανισότητα Μπερνούλι		27.8415
5	Portuguese (pt) Desigualdade de Bernoulli		25.8048
6	Italian (it) Disuguaglianza di Bernoulli		24.2823
7	Slovak (sk) Bernoulliho nerovnosť		19.8322
8	Croatian (hr) Bernoullijeva nejednakost		17.1985
9	Bulgarian (bg) Неравенство на Бернули		16.2295
10	Russian (ru) Неравенство Бернулли		12.6587

More...

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

The most popular language versions of the article "Nierówność Bernoulliego" in all the time

#	Language	Popularity award	Relative popularity
1	German (de) Bernoullische Ungleichung		501 387
2	English (en) Bernoulli's inequality		489 754
3	Russian (ru) Неравенство Бернулли		194 946
4	Italian (it) Disuguaglianza di Bernoulli		162 951
5	French (fr) Inégalité de Bernoulli		135 637
6	Vietnamese (vi) Bất đẳng thức Bernoulli		102 666
7	Polish (pl) Nierówność Bernoulliego		82 708
8	Hebrew (he) אי-שוויון ברנולי		79 886
9	Spanish (es) Desigualdad de Bernoulli		69 483
10	Chinese (zh) 伯努利不等式		50 645

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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 "Nierówność Bernoulliego" in October 2023

#	Language	Popularity award	Relative popularity
1	English (en) Bernoulli's inequality		5 712
2	Russian (ru) Неравенство Бернулли		2 523
3	German (de) Bernoullische Ungleichung		2 301
4	Italian (it) Disuguaglianza di Bernoulli		2 095
5	French (fr) Inégalité de Bernoulli		1 672
6	Vietnamese (vi) Bất đẳng thức Bernoulli		1 233
7	Polish (pl) Nierówność Bernoulliego		852
8	Chinese (zh) 伯努利不等式		626
9	Spanish (es) Desigualdad de Bernoulli		398
10	Romanian (ro) Inegalitatea lui Bernoulli		283

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

Language versions of the article "Nierówność Bernoulliego" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Bernoulli's inequality		77
2	German (de) Bernoullische Ungleichung		69
3	French (fr) Inégalité de Bernoulli		50
4	Italian (it) Disuguaglianza di Bernoulli		50
5	Russian (ru) Неравенство Бернулли		35
6	Hungarian (hu) Bernoulli-egyenlőtlenség		26
7	Hebrew (he) אי-שוויון ברנולי		23
8	Vietnamese (vi) Bất đẳng thức Bernoulli		23
9	Polish (pl) Nierówność Bernoulliego		16
10	Spanish (es) Desigualdad de Bernoulli		15

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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 "Nierówność Bernoulliego" with the highest AI in October 2023

#	Language	AI award	Relative AI
1	Italian (it) Disuguaglianza di Bernoulli		3
2	English (en) Bernoulli's inequality		2
3	Ukrainian (uk) Нерівність Бернуллі		1
4	Arabic (ar) متباينة برنولي		0
5	Bulgarian (bg) Неравенство на Бернули		0
6	Czech (cs) Bernoulliho nerovnost		0
7	German (de) Bernoullische Ungleichung		0
8	Greek (el) Ανισότητα Μπερνούλι		0
9	Spanish (es) Desigualdad de Bernoulli		0
10	Persian (fa) نابرابری برنولی		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 "Nierówność Bernoulliego" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	Italian (it) Disuguaglianza di Bernoulli		140
2	German (de) Bernoullische Ungleichung		15
3	English (en) Bernoulli's inequality		14
4	Chinese (zh) 伯努利不等式		7
5	Greek (el) Ανισότητα Μπερνούλι		6
6	French (fr) Inégalité de Bernoulli		6
7	Romanian (ro) Inegalitatea lui Bernoulli		6
8	Persian (fa) نابرابری برنولی		5
9	Polish (pl) Nierówność Bernoulliego		5
10	Portuguese (pt) Desigualdade de Bernoulli		5

More...

#	Language	Value
ar	Arabic متباينة برنولي
bg	Bulgarian Неравенство на Бернули
cs	Czech Bernoulliho nerovnost
de	German Bernoullische Ungleichung
el	Greek Ανισότητα Μπερνούλι
en	English Bernoulli's inequality
es	Spanish Desigualdad de Bernoulli
fa	Persian نابرابری برنولی
fi	Finnish Bernoullin epäyhtälö
fr	French Inégalité de Bernoulli
he	Hebrew אי-שוויון ברנולי
hi	Hindi बर्नूली असमिका
hr	Croatian Bernoullijeva nejednakost
hu	Hungarian Bernoulli-egyenlőtlenség
it	Italian Disuguaglianza di Bernoulli
ja	Japanese ベルヌーイの不等式
ko	Korean 베르누이의 부등식
pl	Polish Nierówność Bernoulliego
pt	Portuguese Desigualdade de Bernoulli
ro	Romanian Inegalitatea lui Bernoulli
ru	Russian Неравенство Бернулли
sk	Slovak Bernoulliho nerovnosť
sv	Swedish Bernoullis olikhet
uk	Ukrainian Нерівність Бернуллі
vi	Vietnamese Bất đẳng thức Bernoulli
zh	Chinese 伯努利不等式

Best Rank

Polish: #29563 10.2018

Global: #75754 11.2018

Best Rank

Polish: #1569 05.2004

Global: #2763 12.2001

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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 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