Формальный степенной ряд

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Формальный степенной ряд

Quality:

Formal power series - generalization of a polynomial, where the number of terms is allowed to be infinite, defined algebraically without consideration of convergence (so that e.g. evaluation is not always defined). Article "Формальный степенной ряд" in Russian Wikipedia has 11.2 points for quality (as of August 1, 2024). The article contains 1 references and 8 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 "Формальный степенной ряд", its content was written by 10 registered users of Russian Wikipedia and edited by 320 registered Wikipedia users in all languages.

The article is cited 35 times in Russian Wikipedia and cited 1061 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Russian): #19715 in November 2011
  • Global: #1269 in February 2003

The highest popularity rank from 2008:

  • Local (Russian): #200157 in June 2009
  • Global: #196094 in October 2014

There are 17 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.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Formal power series
40.6341
2Czech (cs)
Formální mocninná řada
34.8682
3German (de)
Formale Potenzreihe
33.2115
4French (fr)
Série formelle
22.0452
5Italian (it)
Serie formale di potenze
20.1182
6Persian (fa)
سری توانی صوری
20.0016
7Korean (ko)
형식적 멱급수
15.0539
8Vietnamese (vi)
Chuỗi lũy thừa hình thức
13.8042
9Romanian (ro)
Serie formală
13.0868
10Chinese (zh)
形式幂级数
11.4789
More...

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

Most popular in all the time

The most popular language versions of the article "Формальный степенной ряд" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Formal power series
789 358
2German (de)
Formale Potenzreihe
79 605
3French (fr)
Série formelle
68 465
4Spanish (es)
Serie formal de potencias
48 088
5Japanese (ja)
形式的冪級数
44 949
6Italian (it)
Serie formale di potenze
42 713
7Russian (ru)
Формальный степенной ряд
35 889
8Chinese (zh)
形式幂级数
22 853
9Korean (ko)
형식적 멱급수
8 354
10Hungarian (hu)
Formális hatványsor
6 070
More...

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

Most popular in July 2024

The most popular language versions of the article "Формальный степенной ряд" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Formal power series
3 399
2Japanese (ja)
形式的冪級数
512
3German (de)
Formale Potenzreihe
351
4French (fr)
Série formelle
287
5Chinese (zh)
形式幂级数
169
6Russian (ru)
Формальный степенной ряд
136
7Spanish (es)
Serie formal de potencias
107
8Italian (it)
Serie formale di potenze
90
9Korean (ko)
형식적 멱급수
76
10Vietnamese (vi)
Chuỗi lũy thừa hình thức
53
More...

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

The highest AI

Language versions of the article "Формальный степенной ряд" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Formal power series
116
2French (fr)
Série formelle
54
3Italian (it)
Serie formale di potenze
44
4German (de)
Formale Potenzreihe
31
5Hungarian (hu)
Formális hatványsor
18
6Russian (ru)
Формальный степенной ряд
10
7Spanish (es)
Serie formal de potencias
8
8Japanese (ja)
形式的冪級数
8
9Ukrainian (uk)
Формальний степеневий ряд
6
10Korean (ko)
형식적 멱급수
4
More...

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

The highest AI in July 2024

Language versions of the article "Формальный степенной ряд" with the highest AI in July 2024
#LanguageAI awardRelative AI
1English (en)
Formal power series
4
2German (de)
Formale Potenzreihe
1
3Catalan (ca)
Sèrie formal de potències
0
4Czech (cs)
Formální mocninná řada
0
5Esperanto (eo)
Formala potencoserio
0
6Spanish (es)
Serie formal de potencias
0
7Persian (fa)
سری توانی صوری
0
8French (fr)
Série formelle
0
9Hungarian (hu)
Formális hatványsor
0
10Italian (it)
Serie formale di potenze
0
More...

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

The highest CI

Language versions of the article "Формальный степенной ряд" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Formal power series
349
2Italian (it)
Serie formale di potenze
151
3French (fr)
Série formelle
105
4Korean (ko)
형식적 멱급수
81
5Japanese (ja)
形式的冪級数
63
6Chinese (zh)
形式幂级数
52
7German (de)
Formale Potenzreihe
48
8Persian (fa)
سری توانی صوری
41
9Spanish (es)
Serie formal de potencias
38
10Ukrainian (uk)
Формальний степеневий ряд
37
More...

Scores

Estimated value for Wikipedia:
Russian:
Global:
Popularity in July 2024:
Russian:
Global:
Popularity in all years:
Russian:
Global:
Authors in July 2024:
Russian:
Global:
Registered authors in all years:
Russian:
Global:
Citations:
Russian:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Sèrie formal de potències
csCzech
Formální mocninná řada
deGerman
Formale Potenzreihe
enEnglish
Formal power series
eoEsperanto
Formala potencoserio
esSpanish
Serie formal de potencias
faPersian
سری توانی صوری
frFrench
Série formelle
huHungarian
Formális hatványsor
itItalian
Serie formale di potenze
jaJapanese
形式的冪級数
koKorean
형식적 멱급수
roRomanian
Serie formală
ruRussian
Формальный степенной ряд
ukUkrainian
Формальний степеневий ряд
viVietnamese
Chuỗi lũy thừa hình thức
zhChinese
形式幂级数

Popularity rank trends

Best Rank Russian:
#200157
06.2009
Global:
#196094
10.2014

AI rank trends

Best Rank Russian:
#19715
11.2011
Global:
#1269
02.2003

Global AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Formal power series from Wikipedia articles about Generating function, Power series, Laurent series, Lagrange inversion theorem and Indeterminate. Whereas reading the article about Formal power series people most often go to Wikipedia articles on Power series, Generating function, Lagrange inversion theorem, Cauchy product and Discrete valuation ring.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 27 November 2024

On 27 November 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: Empress Elisabeth of Austria, Franz Joseph I of Austria, Thanksgiving, UEFA Champions League, Wicked, Gladiator II, Elon Musk, ChatGPT, deaths in 2024, Wicked.

In Russian Wikipedia the most popular articles on that day were: Яндекс, Польских, Галина Александровна, Орешник (ракета), ЯRUS, YouTube, Список умерших в 2024 году, Кавелашвили, Михаил Гурамович, Дрогобычский долотный завод, Россия, S.T.A.L.K.E.R. 2: Heart of Chornobyl.

About WikiRank

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