Мінімальний многочлен (теорія полів)

Minimal polynomial - given an element α of a field extension E/F, the unique monic polynomial p∈F[x] of minimal degree such that p(α) = 0. Article "Мінімальний многочлен (теорія полів)" in Ukrainian Wikipedia has 2.6 points for quality (as of August 1, 2024). The article contains 0 references and 2 sections.

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

Since the creation of article "Мінімальний многочлен (теорія полів)", its content was written by 1 registered users of Ukrainian Wikipedia and edited by 218 registered Wikipedia users in all languages.

The article is cited 19 times in Ukrainian Wikipedia and cited 388 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Ukrainian): #22958 in August 2012
• Global: #25515 in April 2004

The highest popularity rank from 2008:

• Local (Ukrainian): #130874 in February 2013
• Global: #255851 in January 2015

There are 18 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 August 1, 2024 (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	Catalan (ca) Polinomi minimal		39.6286
2	Spanish (es) Polinomio mínimo (teoría de cuerpos)		23.5636
3	English (en) Minimal polynomial (field theory)		22.6923
4	French (fr) Polynôme minimal (théorie des corps)		21.0836
5	Hebrew (he) פולינום מינימלי		13.4972
6	Arabic (ar) متعددة الحدود الدنيا (نظرية الحقول)		12.1722
7	Dutch (nl) Minimale polynoom (galoistheorie)		11.5878
8	Romanian (ro) Polinom minimal		11.5081
9	German (de) Minimalpolynom		9.1349
10	Czech (cs) Minimální polynom (teorie těles)		7.2592

More...

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

The most popular language versions of the article "Мінімальний многочлен (теорія полів)" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Minimal polynomial (field theory)		298 598
2	German (de) Minimalpolynom		289 331
3	Hebrew (he) פולינום מינימלי		63 086
4	French (fr) Polynôme minimal (théorie des corps)		48 081
5	Chinese (zh) 極小多項式		46 586
6	Russian (ru) Минимальный многочлен алгебраического элемента		35 960
7	Japanese (ja) 最小多項式 (体論)		25 212
8	Portuguese (pt) Polinômio mínimo		18 566
9	Vietnamese (vi) Đa thức tối tiểu (lý thuyết trường)		5 946
10	Greek (el) Ελάχιστο πολυώνυμο		5 792

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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 "Мінімальний многочлен (теорія полів)" in July 2024

#	Language	Popularity award	Relative popularity
1	German (de) Minimalpolynom		1 632
2	English (en) Minimal polynomial (field theory)		1 625
3	Hebrew (he) פולינום מינימלי		529
4	Chinese (zh) 極小多項式		225
5	Vietnamese (vi) Đa thức tối tiểu (lý thuyết trường)		214
6	Japanese (ja) 最小多項式 (体論)		174
7	French (fr) Polynôme minimal (théorie des corps)		156
8	Russian (ru) Минимальный многочлен алгебраического элемента		123
9	Portuguese (pt) Polinômio mínimo		54
10	Spanish (es) Polinomio mínimo (teoría de cuerpos)		40

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

Language versions of the article "Мінімальний многочлен (теорія полів)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	German (de) Minimalpolynom		58
2	French (fr) Polynôme minimal (théorie des corps)		36
3	English (en) Minimal polynomial (field theory)		33
4	Hebrew (he) פולינום מינימלי		31
5	Dutch (nl) Minimale polynoom (galoistheorie)		13
6	Catalan (ca) Polinomi minimal		9
7	Chinese (zh) 極小多項式		9
8	Greek (el) Ελάχιστο πολυώνυμο		8
9	Russian (ru) Минимальный многочлен алгебраического элемента		4
10	Vietnamese (vi) Đa thức tối tiểu (lý thuyết trường)		4

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 "Мінімальний многочлен (теорія полів)" with the highest AI in July 2024

#	Language	AI award	Relative AI
1	Arabic (ar) متعددة الحدود الدنيا (نظرية الحقول)		0
2	Catalan (ca) Polinomi minimal		0
3	Czech (cs) Minimální polynom (teorie těles)		0
4	German (de) Minimalpolynom		0
5	Greek (el) Ελάχιστο πολυώνυμο		0
6	English (en) Minimal polynomial (field theory)		0
7	Spanish (es) Polinomio mínimo (teoría de cuerpos)		0
8	Persian (fa) چندجمله‌ای کمینه (نظریه میدان)		0
9	French (fr) Polynôme minimal (théorie des corps)		0
10	Hebrew (he) פולינום מינימלי		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 "Мінімальний многочлен (теорія полів)" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Minimal polynomial (field theory)		79
2	French (fr) Polynôme minimal (théorie des corps)		61
3	German (de) Minimalpolynom		51
4	Hebrew (he) פולינום מינימלי		35
5	Chinese (zh) 極小多項式		34
6	Japanese (ja) 最小多項式 (体論)		26
7	Russian (ru) Минимальный многочлен алгебраического элемента		24
8	Ukrainian (uk) Мінімальний многочлен (теорія полів)		19
9	Romanian (ro) Polinom minimal		14
10	Spanish (es) Polinomio mínimo (teoría de cuerpos)		13

More...

#	Language	Value
ar	Arabic متعددة الحدود الدنيا (نظرية الحقول)
ca	Catalan Polinomi minimal
cs	Czech Minimální polynom (teorie těles)
de	German Minimalpolynom
el	Greek Ελάχιστο πολυώνυμο
en	English Minimal polynomial (field theory)
es	Spanish Polinomio mínimo (teoría de cuerpos)
fa	Persian چندجمله‌ای کمینه (نظریه میدان)
fr	French Polynôme minimal (théorie des corps)
he	Hebrew פולינום מינימלי
ja	Japanese 最小多項式 (体論)
nl	Dutch Minimale polynoom (galoistheorie)
pt	Portuguese Polinômio mínimo
ro	Romanian Polinom minimal
ru	Russian Минимальный многочлен алгебраического элемента
uk	Ukrainian Мінімальний многочлен (теорія полів)
vi	Vietnamese Đa thức tối tiểu (lý thuyết trường)
zh	Chinese 極小多項式

Best Rank

Ukrainian: #130874 02.2013

Global: #255851 01.2015

Best Rank

Ukrainian: #22958 08.2012

Global: #25515 04.2004

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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 August, 2024. When calculating current popularity and AI of articles data from July 2024 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information