الگوریتم گرام اشمیت

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الگوریتم گرام اشمیت

Quality:

Gram-Schmidt process - method for orthonormalising a set of vectors. Article "الگوریتم گرام اشمیت" in Persian Wikipedia has 14.4 points for quality (as of November 1, 2023). The article contains 1 references and 2 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 "الگوریتم گرام اشمیت", its content was written by 7 registered users of Persian Wikipedia and edited by 729 registered Wikipedia users in all languages.

The article is cited 42 times in Persian Wikipedia and cited 1189 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Persian): #2240 in February 2014
  • Global: #1074 in May 2003

The highest popularity rank from 2008:

  • Local (Persian): #40075 in January 2015
  • Global: #13878 in June 2015

There are 31 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。

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Gram–Schmidt process
36.6716
2Hebrew (he)
תהליך גרם-שמידט
25.3241
3Catalan (ca)
Procés d'ortogonalització de Gram-Schmidt
23.8163
4Hungarian (hu)
Gram–Schmidt-eljárás
22.0171
5Portuguese (pt)
Processo de Gram-Schmidt
21.8394
6Turkish (tr)
Gram–Schmidt işlemi
18.7533
7Chinese (zh)
格拉姆-施密特正交化
17.7612
8Italian (it)
Ortogonalizzazione di Gram-Schmidt
16.739
9Polish (pl)
Ortogonalizacja Grama-Schmidta
14.4037
10Persian (fa)
الگوریتم گرام اشمیت
14.395
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 "الگوریتم گرام اشمیت" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Gram–Schmidt process
2 889 095
2German (de)
Gram-Schmidtsches Orthogonalisierungsverfahren
929 041
3Spanish (es)
Proceso de ortogonalización de Gram-Schmidt
573 712
4Russian (ru)
Процесс Грама ― Шмидта
392 395
5Chinese (zh)
格拉姆-施密特正交化
336 431
6French (fr)
Algorithme de Gram-Schmidt
305 440
7Japanese (ja)
グラム・シュミットの正規直交化法
218 128
8Italian (it)
Ortogonalizzazione di Gram-Schmidt
189 254
9Polish (pl)
Ortogonalizacja Grama-Schmidta
152 152
10Hebrew (he)
תהליך גרם-שמידט
140 918
More...

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

Most popular in October 2023

The most popular language versions of the article "الگوریتم گرام اشمیت" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Gram–Schmidt process
21 181
2Spanish (es)
Proceso de ortogonalización de Gram-Schmidt
2 577
3Chinese (zh)
格拉姆-施密特正交化
2 493
4German (de)
Gram-Schmidtsches Orthogonalisierungsverfahren
1 903
5Russian (ru)
Процесс Грама ― Шмидта
1 869
6French (fr)
Algorithme de Gram-Schmidt
1 456
7Japanese (ja)
グラム・シュミットの正規直交化法
807
8Korean (ko)
그람-슈미트 과정
627
9Italian (it)
Ortogonalizzazione di Gram-Schmidt
511
10Polish (pl)
Ortogonalizacja Grama-Schmidta
427
More...

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

The highest AI

Language versions of the article "الگوریتم گرام اشمیت" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Gram–Schmidt process
161
2German (de)
Gram-Schmidtsches Orthogonalisierungsverfahren
81
3Italian (it)
Ortogonalizzazione di Gram-Schmidt
55
4French (fr)
Algorithme de Gram-Schmidt
50
5Dutch (nl)
Gram-schmidtmethode
47
6Hebrew (he)
תהליך גרם-שמידט
42
7Russian (ru)
Процесс Грама ― Шмидта
38
8Spanish (es)
Proceso de ortogonalización de Gram-Schmidt
33
9Polish (pl)
Ortogonalizacja Grama-Schmidta
31
10Chinese (zh)
格拉姆-施密特正交化
30
More...

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

The highest AI in October 2023

Language versions of the article "الگوریتم گرام اشمیت" with the highest AI in October 2023
#LanguageAI awardRelative AI
1Catalan (ca)
Procés d'ortogonalització de Gram-Schmidt
1
2English (en)
Gram–Schmidt process
1
3Czech (cs)
Gramova–Schmidtova ortogonalizace
0
4Danish (da)
Gram-Schmidt-processen
0
5German (de)
Gram-Schmidtsches Orthogonalisierungsverfahren
0
6Spanish (es)
Proceso de ortogonalización de Gram-Schmidt
0
7Persian (fa)
الگوریتم گرام اشمیت
0
8Finnish (fi)
Gramin–Schmidtin ortogonalisoimismenetelmä
0
9French (fr)
Algorithme de Gram-Schmidt
0
10Hebrew (he)
תהליך גרם-שמידט
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 "الگوریتم گرام اشمیت" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Gram–Schmidt process
154
2Japanese (ja)
グラム・シュミットの正規直交化法
138
3Italian (it)
Ortogonalizzazione di Gram-Schmidt
104
4Swedish (sv)
Gram–Schmidts ortogonaliseringsprocess
95
5Chinese (zh)
格拉姆-施密特正交化
86
6Polish (pl)
Ortogonalizacja Grama-Schmidta
70
7Vietnamese (vi)
Quá trình Gram–Schmidt
55
8Portuguese (pt)
Processo de Gram-Schmidt
54
9Korean (ko)
그람-슈미트 과정
50
10Persian (fa)
الگوریتم گرام اشمیت
42
More...

Scores

Estimated value for Wikipedia:
Persian:
Global:
Popularity in October 2023:
Persian:
Global:
Popularity in all years:
Persian:
Global:
Authors in October 2023:
Persian:
Global:
Registered authors in all years:
Persian:
Global:
Citations:
Persian:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Procés d'ortogonalització de Gram-Schmidt
csCzech
Gramova–Schmidtova ortogonalizace
daDanish
Gram-Schmidt-processen
deGerman
Gram-Schmidtsches Orthogonalisierungsverfahren
enEnglish
Gram–Schmidt process
esSpanish
Proceso de ortogonalización de Gram-Schmidt
faPersian
الگوریتم گرام اشمیت
fiFinnish
Gramin–Schmidtin ortogonalisoimismenetelmä
frFrench
Algorithme de Gram-Schmidt
heHebrew
תהליך גרם-שמידט
hrCroatian
Gram-Schmidtov postupak
huHungarian
Gram–Schmidt-eljárás
itItalian
Ortogonalizzazione di Gram-Schmidt
jaJapanese
グラム・シュミットの正規直交化法
koKorean
그람-슈미트 과정
nlDutch
Gram-schmidtmethode
nnNorwegian (Nynorsk)
Gram–Schmidts ortogonaliseringsprossess
plPolish
Ortogonalizacja Grama-Schmidta
ptPortuguese
Processo de Gram-Schmidt
roRomanian
Procedeul Gram–Schmidt
ruRussian
Процесс Грама ― Шмидта
shSerbo-Croatian
Gram—Schmidtov postupak
simpleSimple English
Gram-Schmidt process
skSlovak
Gramov-Schmidtov ortogonalizačný proces
srSerbian
Грам—Шмитов поступак ортонормализације
svSwedish
Gram–Schmidts ortogonaliseringsprocess
trTurkish
Gram–Schmidt işlemi
ukUkrainian
Процес Грама — Шмідта
urUrdu
گرام شمٹ عمل
viVietnamese
Quá trình Gram–Schmidt
zhChinese
格拉姆-施密特正交化

Popularity rank trends

Best Rank Persian:
#40075
01.2015
Global:
#13878
06.2015

AI rank trends

Best Rank Persian:
#2240
02.2014
Global:
#1074
05.2003

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Gram-Schmidt process from Wikipedia articles about QR decomposition, Orthogonalization, Orthonormal basis, Orthonormality and Arnoldi iteration. Whereas reading the article about Gram-Schmidt process people most often go to Wikipedia articles on Inner product space, Erhard Schmidt, Jørgen Pedersen Gram, QR decomposition and Orthonormal basis.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 15 May 2024

On 15 May 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: Robert Fico, Slovakia, Yasuke, New Caledonia, YouTube, ChatGPT, Direction – Social Democracy, Planet of the Apes, deaths in 2024, Alice Munro.

In Persian Wikipedia the most popular articles on that day were: بروس لی, مهدی هاشمی رفسنجانی, روش‌های آمیزش جنسی, آمیزش جنسی بدون دخول, مست عشق (فیلم), ایلجیما, محمد رسول‌اف, آمیزش جنسی, آمیزش جنسی دهانی, فرج‌لیسی.

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 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