Inegalitatea mediilor

Inequality of arithmetic and geometric means - states that the arithmetic mean of a list of non-negative real numbers is greater than or equal to the geometric mean of the same list. Article "Inegalitatea mediilor" in Romanian Wikipedia has 10.3 points for quality (as of November 1, 2023). The article contains 1 references and 6 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 "Inegalitatea mediilor", its content was written by 14 registered users of Romanian Wikipedia and edited by 537 registered Wikipedia users in all languages.

The article is cited 7 times in Romanian Wikipedia and cited 441 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Romanian): #67 in September 2019
• Global: #15904 in May 2004

The highest popularity rank from 2008:

• Local (Romanian): #511 in November 2011
• Global: #42909 in October 2021

There are 24 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	English (en) AM-GM Inequality		47.9654
2	German (de) Ungleichung vom arithmetischen und geometrischen Mittel		38.0857
3	Tamil (ta) கூட்டு, பெருக்கல் சராசரிகளின் சமனிலி		32.184
4	Chinese (zh) 算术-几何平均值不等式		28.3758
5	Vietnamese (vi) Bất đẳng thức trung bình cộng và trung bình nhân		26.8605
6	Greek (el) Ανισότητα αριθμητικού-γεωμετρικού μέσου		23.4096
7	Ukrainian (uk) Нерівність середнього арифметичного та геометричного		23.3808
8	Italian (it) Disuguaglianza tra media aritmetica e media geometrica		22.5925
9	French (fr) Inégalité arithmético-géométrique		22.3514
10	Hungarian (hu) Számtani és mértani közép közötti egyenlőtlenség		22.0108

More...

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

The most popular language versions of the article "Inegalitatea mediilor" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) AM-GM Inequality		1 514 069
2	Vietnamese (vi) Bất đẳng thức trung bình cộng và trung bình nhân		1 130 176
3	German (de) Ungleichung vom arithmetischen und geometrischen Mittel		282 053
4	Chinese (zh) 算术-几何平均值不等式		279 435
5	Polish (pl) Nierówności między średnimi		268 632
6	Russian (ru) Неравенство о среднем арифметическом, геометрическом и гармоническом		229 515
7	Romanian (ro) Inegalitatea mediilor		170 609
8	Spanish (es) Desigualdad de las medias aritmética y geométrica		158 152
9	Korean (ko) 산술-기하 평균 부등식		131 546
10	Hebrew (he) אי-שוויון הממוצעים		120 386

More...

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 "Inegalitatea mediilor" in October 2023

#	Language	Popularity award	Relative popularity
1	English (en) AM-GM Inequality		14 605
2	Chinese (zh) 算术-几何平均值不等式		3 524
3	Vietnamese (vi) Bất đẳng thức trung bình cộng và trung bình nhân		3 183
4	Polish (pl) Nierówności między średnimi		2 460
5	Russian (ru) Неравенство о среднем арифметическом, геометрическом и гармоническом		2 273
6	Romanian (ro) Inegalitatea mediilor		2 064
7	Korean (ko) 산술-기하 평균 부등식		2 016
8	German (de) Ungleichung vom arithmetischen und geometrischen Mittel		1 423
9	French (fr) Inégalité arithmético-géométrique		1 391
10	Spanish (es) Desigualdad de las medias aritmética y geométrica		856

More...

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

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

#	Language	AI award	Relative AI
1	English (en) AM-GM Inequality		108
2	German (de) Ungleichung vom arithmetischen und geometrischen Mittel		67
3	Vietnamese (vi) Bất đẳng thức trung bình cộng và trung bình nhân		67
4	Russian (ru) Неравенство о среднем арифметическом, геометрическом и гармоническом		43
5	Hungarian (hu) Számtani és mértani közép közötti egyenlőtlenség		38
6	Hebrew (he) אי-שוויון הממוצעים		30
7	Polish (pl) Nierówności między średnimi		30
8	French (fr) Inégalité arithmético-géométrique		27
9	Chinese (zh) 算术-几何平均值不等式		19
10	Spanish (es) Desigualdad de las medias aritmética y geométrica		15

More...

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

Language versions of the article "Inegalitatea mediilor" with the highest AI in October 2023

#	Language	AI award	Relative AI
1	English (en) AM-GM Inequality		2
2	Russian (ru) Неравенство о среднем арифметическом, геометрическом и гармоническом		1
3	Vietnamese (vi) Bất đẳng thức trung bình cộng và trung bình nhân		1
4	Catalan (ca) Desigualtat entre les mitjanes aritmètica i geomètrica		0
5	Czech (cs) Nerovnost aritmetického a geometrického průměru		0
6	German (de) Ungleichung vom arithmetischen und geometrischen Mittel		0
7	Greek (el) Ανισότητα αριθμητικού-γεωμετρικού μέσου		0
8	Spanish (es) Desigualdad de las medias aritmética y geométrica		0
9	Basque (eu) Batezbestekoen arteko erlazio		0
10	Persian (fa) نابرابری میانگین حسابی-هندسی		0

More...

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

Language versions of the article "Inegalitatea mediilor" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) AM-GM Inequality		72
2	French (fr) Inégalité arithmético-géométrique		72
3	Russian (ru) Неравенство о среднем арифметическом, геометрическом и гармоническом		51
4	German (de) Ungleichung vom arithmetischen und geometrischen Mittel		40
5	Hungarian (hu) Számtani és mértani közép közötti egyenlőtlenség		27
6	Polish (pl) Nierówności między średnimi		23
7	Chinese (zh) 算术-几何平均值不等式		17
8	Spanish (es) Desigualdad de las medias aritmética y geométrica		16
9	Korean (ko) 산술-기하 평균 부등식		16
10	Hebrew (he) אי-שוויון הממוצעים		14

More...

#	Language	Value
ca	Catalan Desigualtat entre les mitjanes aritmètica i geomètrica
cs	Czech Nerovnost aritmetického a geometrického průměru
de	German Ungleichung vom arithmetischen und geometrischen Mittel
el	Greek Ανισότητα αριθμητικού-γεωμετρικού μέσου
en	English AM-GM Inequality
es	Spanish Desigualdad de las medias aritmética y geométrica
eu	Basque Batezbestekoen arteko erlazio
fa	Persian نابرابری میانگین حسابی-هندسی
fi	Finnish Aritmeettis-geometrinen epäyhtälö
fr	French Inégalité arithmético-géométrique
he	Hebrew אי-שוויון הממוצעים
hi	Hindi समान्तर माध्य और गुणोत्तर माध्य सम्बन्धी असमिका
hu	Hungarian Számtani és mértani közép közötti egyenlőtlenség
it	Italian Disuguaglianza tra media aritmetica e media geometrica
ko	Korean 산술-기하 평균 부등식
pl	Polish Nierówności między średnimi
pt	Portuguese Desigualdade das médias
ro	Romanian Inegalitatea mediilor
ru	Russian Неравенство о среднем арифметическом, геометрическом и гармоническом
ta	Tamil கூட்டு, பெருக்கல் சராசரிகளின் சமனிலி
uk	Ukrainian Нерівність середнього арифметичного та геометричного
uz	Uzbek Oʻrta arifmetik va oʻrta geometrik orasidagi tengsizlik
vi	Vietnamese Bất đẳng thức trung bình cộng và trung bình nhân
zh	Chinese 算术-几何平均值不等式

Best Rank

Romanian: #511 11.2011

Global: #42909 10.2021

Best Rank

Romanian: #67 09.2019

Global: #15904 05.2004

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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