Duality (optimization)

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Duality (optimization)

Quality:

Duality - term in mathematical optimization theory. Article "Duality (optimization)" in English Wikipedia has 40.9 points for quality (as of July 1, 2025). The article contains 21 references and 15 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

In June 2025 the article "Duality (optimization)" was edited by 2 authors in English Wikipedia and written by 3 authors in all languages.

Since the creation of article "Duality (optimization)", its content was written by 79 registered users of English Wikipedia and edited by 211 registered Wikipedia users in all languages.

The article is cited 141 times in English Wikipedia and cited 321 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #28925 in March 2014
  • Global: #84450 in March 2014

The highest popularity rank from 2008:

  • Local (English): #28052 in April 2016
  • Global: #58278 in April 2016

There are 13 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 July 1, 2025 (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)
Duality (optimization)
40.8691
2Ukrainian (uk)
Двоїстість (оптимізація)
38.3817
3Chinese (zh)
對偶性 (最佳化)
32.1097
4Persian (fa)
دوگانگی (بهینه‌سازی)
31.7658
5Russian (ru)
Двойственность (оптимизация)
27.0418
6French (fr)
Dualité (optimisation)
23.3433
7Swedish (sv)
Dual (optimering)
22.7239
8Italian (it)
Problema primale standard
22.0801
9German (de)
Lagrange-Dualität
17.3575
10Czech (cs)
Dualita (optimalizace)
15.7788
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 "Duality (optimization)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Duality (optimization)
1 682 535
2Japanese (ja)
双対問題
124 306
3German (de)
Lagrange-Dualität
86 613
4Italian (it)
Problema primale standard
50 382
5French (fr)
Dualité (optimisation)
46 421
6Russian (ru)
Двойственность (оптимизация)
35 308
7Chinese (zh)
對偶性 (最佳化)
34 636
8Persian (fa)
دوگانگی (بهینه‌سازی)
31 662
9Vietnamese (vi)
Bài toán đối ngẫu
28 273
10Swedish (sv)
Dual (optimering)
10 395
More...

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

Most popular in June 2025

The most popular language versions of the article "Duality (optimization)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Duality (optimization)
4 736
2Japanese (ja)
双対問題
371
3Chinese (zh)
對偶性 (最佳化)
358
4German (de)
Lagrange-Dualität
312
5French (fr)
Dualité (optimisation)
297
6Russian (ru)
Двойственность (оптимизация)
175
7Vietnamese (vi)
Bài toán đối ngẫu
83
8Persian (fa)
دوگانگی (بهینه‌سازی)
68
9Czech (cs)
Dualita (optimalizace)
59
10Italian (it)
Problema primale standard
58
More...

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

The highest AI

Language versions of the article "Duality (optimization)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Duality (optimization)
79
2Italian (it)
Problema primale standard
38
3German (de)
Lagrange-Dualität
24
4French (fr)
Dualité (optimisation)
13
5Vietnamese (vi)
Bài toán đối ngẫu
12
6Persian (fa)
دوگانگی (بهینه‌سازی)
10
7Japanese (ja)
双対問題
9
8Czech (cs)
Dualita (optimalizace)
7
9Russian (ru)
Двойственность (оптимизация)
6
10Swedish (sv)
Dual (optimering)
6
More...

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

The highest AI in June 2025

Language versions of the article "Duality (optimization)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Duality (optimization)
2
2Italian (it)
Problema primale standard
1
3Czech (cs)
Dualita (optimalizace)
0
4German (de)
Lagrange-Dualität
0
5Persian (fa)
دوگانگی (بهینه‌سازی)
0
6French (fr)
Dualité (optimisation)
0
7Japanese (ja)
双対問題
0
8Dutch (nl)
Dualiteit (optimalisatie)
0
9Russian (ru)
Двойственность (оптимизация)
0
10Swedish (sv)
Dual (optimering)
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 "Duality (optimization)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Duality (optimization)
141
2German (de)
Lagrange-Dualität
29
3Japanese (ja)
双対問題
27
4Chinese (zh)
對偶性 (最佳化)
27
5Persian (fa)
دوگانگی (بهینه‌سازی)
23
6Russian (ru)
Двойственность (оптимизация)
19
7Ukrainian (uk)
Двоїстість (оптимізація)
19
8French (fr)
Dualité (optimisation)
12
9Vietnamese (vi)
Bài toán đối ngẫu
11
10Italian (it)
Problema primale standard
9
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
csCzech
Dualita (optimalizace)
deGerman
Lagrange-Dualität
enEnglish
Duality (optimization)
faPersian
دوگانگی (بهینه‌سازی)
frFrench
Dualité (optimisation)
itItalian
Problema primale standard
jaJapanese
双対問題
nlDutch
Dualiteit (optimalisatie)
ruRussian
Двойственность (оптимизация)
svSwedish
Dual (optimering)
ukUkrainian
Двоїстість (оптимізація)
viVietnamese
Bài toán đối ngẫu
zhChinese
對偶性 (最佳化)

Popularity rank trends

Best Rank English:
#28052
04.2016
Global:
#58278
04.2016

AI rank trends

Best Rank English:
#28925
03.2014
Global:
#84450
03.2014

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Duality from Wikipedia articles about Lagrangian, Convex conjugate, Support vector machine, Dual linear program and Lagrange multiplier. Whereas reading the article about Duality people most often go to Wikipedia articles on Linear programming, Karush–Kuhn–Tucker conditions, Lagrange multiplier, Dual linear program and Convex conjugate.

Cumulative results of quality and popularity of the Wikipedia article

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

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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 July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information