Minimalpolynom

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 "Minimalpolynom" in German Wikipedia has 9.1 points for quality (as of November 1, 2023). The article contains 0 references and 6 sections.

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

Since the creation of article "Minimalpolynom", its content was written by 56 registered users of German Wikipedia and edited by 212 registered Wikipedia users in all languages.

The article is cited 50 times in German Wikipedia and cited 370 times in all languages.

The highest Authors Interest rank from 2001:

• Local (German): #6739 in April 2004
• Global: #25527 in April 2004

The highest popularity rank from 2008:

• Local (German): #41265 in May 2018
• Global: #256088 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 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	Catalan (ca) Polinomi minimal		39.8894
2	Spanish (es) Polinomio mínimo (teoría de cuerpos)		23.6691
3	English (en) Minimal polynomial (field theory)		22.6881
4	French (fr) Polynôme minimal (théorie des corps)		21.122
5	Hebrew (he) פולינום מינימלי		13.6423
6	Arabic (ar) متعددة الحدود الدنيا (نظرية الحقول)		12.3846
7	Dutch (nl) Minimale polynoom (galoistheorie)		11.599
8	Romanian (ro) Polinom minim		11.5009
9	German (de) Minimalpolynom		9.1134
10	Czech (cs) Minimální polynom (teorie těles)		7.26

More...

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

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

#	Language	Popularity award	Relative popularity
1	English (en) Minimal polynomial (field theory)		279 096
2	German (de) Minimalpolynom		278 678
3	Hebrew (he) פולינום מינימלי		60 126
4	French (fr) Polynôme minimal (théorie des corps)		46 127
5	Chinese (zh) 極小多項式		43 893
6	Russian (ru) Минимальный многочлен алгебраического элемента		33 674
7	Japanese (ja) 最小多項式 (体論)		23 566
8	Portuguese (pt) Polinômio mínimo		18 040
9	Greek (el) Ελάχιστο πολυώνυμο		5 731
10	Vietnamese (vi) Đa thức tối tiểu (lý thuyết trường)		4 674

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 "Minimalpolynom" in October 2023

#	Language	Popularity award	Relative popularity
1	English (en) Minimal polynomial (field theory)		1 886
2	German (de) Minimalpolynom		557
3	French (fr) Polynôme minimal (théorie des corps)		295
4	Chinese (zh) 極小多項式		259
5	Japanese (ja) 最小多項式 (体論)		243
6	Russian (ru) Минимальный многочлен алгебраического элемента		211
7	Vietnamese (vi) Đa thức tối tiểu (lý thuyết trường)		188
8	Spanish (es) Polinomio mínimo (teoría de cuerpos)		74
9	Hebrew (he) פולינום מינימלי		72
10	Portuguese (pt) Polinômio mínimo		60

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

Language versions of the article "Minimalpolynom" 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		56
2	French (fr) Polynôme minimal (théorie des corps)		36
3	English (en) Minimal polynomial (field theory)		31
4	Hebrew (he) פולינום מינימלי		31
5	Dutch (nl) Minimale polynoom (galoistheorie)		13
6	Chinese (zh) 極小多項式		9
7	Catalan (ca) Polinomi minimal		8
8	Greek (el) Ελάχιστο πολυώνυμο		7
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 "Minimalpolynom" with the highest AI in October 2023

#	Language	AI award	Relative AI
1	Romanian (ro) Polinom minim		2
2	Arabic (ar) متعددة الحدود الدنيا (نظرية الحقول)		0
3	Catalan (ca) Polinomi minimal		0
4	Czech (cs) Minimální polynom (teorie těles)		0
5	German (de) Minimalpolynom		0
6	Greek (el) Ελάχιστο πολυώνυμο		0
7	English (en) Minimal polynomial (field theory)		0
8	Spanish (es) Polinomio mínimo (teoría de cuerpos)		0
9	Persian (fa) چندجمله‌ای کمینه (نظریه میدان)		0
10	French (fr) Polynôme minimal (théorie des corps)		0

More...

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

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

#	Language	CI award	Relative CI
1	English (en) Minimal polynomial (field theory)		73
2	French (fr) Polynôme minimal (théorie des corps)		61
3	German (de) Minimalpolynom		50
4	Hebrew (he) פולינום מינימלי		35
5	Chinese (zh) 極小多項式		32
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)		16
9	Spanish (es) Polinomio mínimo (teoría de cuerpos)		11
10	Romanian (ro) Polinom minim		10

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 minim
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

German: #41265 05.2018

Global: #256088 01.2015

Best Rank

German: #6739 04.2004

Global: #25527 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 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