Necessary and sufficient conditions

Necessity and sufficiency - conditional or implicational relationship between two statements: a necessary condition is one which must be present in order for another condition to occur, while a sufficient condition is one which produces the said condition. Article “Necessary and sufficient conditions” in Simple English Wikipedia has 35.7 points for quality (as of July 1, 2025). The article contains 5 references and 5 sections.

This article has the best quality in English Wikipedia. Also, this article is the most popular in that (Simple English) language version.

Since the creation of article “Necessary and sufficient conditions”, its content was written by 5 registered users of Simple English Wikipedia and edited by 615 registered Wikipedia users in all languages.

The article is cited 3 times in Simple English Wikipedia and cited 2287 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Simple English): #789 in September 2020
• Global: #13117 in November 2003

The highest popularity rank from 2008:

• Local (Simple English): #14135 in August 2024
• Global: #24556 in April 2014

There are 22 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.

#	Language	Quality grade	Quality score
1	English (en) Necessity and sufficiency		37.2565
2	Simple English (simple) Necessary and sufficient conditions		35.6637
3	Galician (gl) Condición necesaria e suficiente		25.0878
4	Vietnamese (vi) Cần và đủ		21.3217
5	Arabic (ar) شرط لازم وشرط كاف		19.6933
6	Russian (ru) Необходимое и достаточное условия		19.3536
7	Chinese (zh) 充分必要条件		19.2346
8	Finnish (fi) Välttämätön ja riittävä ehto		17.3731
9	Portuguese (pt) Necessidade e suficiência		16.6594
10	Ukrainian (uk) Необхідна і достатня умова		12.2059

More...

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

The most popular language versions of the article "Necessary and sufficient conditions" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Necessity and sufficiency		3 090 416
2	German (de) Notwendige und hinreichende Bedingung		1 231 574
3	Chinese (zh) 充分必要条件		813 844
4	Russian (ru) Необходимое и достаточное условия		488 469
5	Italian (it) Condizione necessaria e sufficiente		379 053
6	Korean (ko) 필요조건과 충분조건		286 067
7	Portuguese (pt) Necessidade e suficiência		114 395
8	Dutch (nl) Noodzakelijke en voldoende voorwaarde		69 007
9	Czech (cs) Nutná a postačující podmínka		47 443
10	Ukrainian (uk) Необхідна і достатня умова		46 604

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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 "Necessary and sufficient conditions" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Necessity and sufficiency		8 524
2	Chinese (zh) 充分必要条件		3 069
3	German (de) Notwendige und hinreichende Bedingung		2 329
4	Korean (ko) 필요조건과 충분조건		1 925
5	Russian (ru) Необходимое и достаточное условия		1 580
6	Italian (it) Condizione necessaria e sufficiente		455
7	Simple English (simple) Necessary and sufficient conditions		430
8	Vietnamese (vi) Cần và đủ		258
9	Ukrainian (uk) Необхідна і достатня умова		201
10	Portuguese (pt) Necessidade e suficiência		176

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

Language versions of the article "Necessary and sufficient conditions" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Necessity and sufficiency		204
2	German (de) Notwendige und hinreichende Bedingung		118
3	Russian (ru) Необходимое и достаточное условия		43
4	Italian (it) Condizione necessaria e sufficiente		41
5	Chinese (zh) 充分必要条件		38
6	Ukrainian (uk) Необхідна і достатня умова		23
7	Dutch (nl) Noodzakelijke en voldoende voorwaarde		22
8	Swedish (sv) Nödvändiga och tillräckliga villkor		20
9	Korean (ko) 필요조건과 충분조건		18
10	Portuguese (pt) Necessidade e suficiência		13

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

Language versions of the article "Necessary and sufficient conditions" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	English (en) Necessity and sufficiency		1
2	Russian (ru) Необходимое и достаточное условия		1
3	Arabic (ar) شرط لازم وشرط كاف		0
4	Catalan (ca) Condició necessària i suficient		0
5	Czech (cs) Nutná a postačující podmínka		0
6	German (de) Notwendige und hinreichende Bedingung		0
7	Esperanto (eo) Neceso kaj sufiĉo		0
8	Basque (eu) Beharrezkotasuna eta nahikotasuna		0
9	Persian (fa) لازم و کافی		0
10	Finnish (fi) Välttämätön ja riittävä ehto		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 "Necessary and sufficient conditions" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Necessity and sufficiency		499
2	Korean (ko) 필요조건과 충분조건		316
3	Chinese (zh) 充分必要条件		258
4	Russian (ru) Необходимое и достаточное условия		218
5	German (de) Notwendige und hinreichende Bedingung		216
6	Persian (fa) لازم و کافی		126
7	Italian (it) Condizione necessaria e sufficiente		113
8	Ukrainian (uk) Необхідна і достатня умова		113
9	Arabic (ar) شرط لازم وشرط كاف		110
10	Catalan (ca) Condició necessària i suficient		50

More...

#	Language	Value
ar	Arabic شرط لازم وشرط كاف
ca	Catalan Condició necessària i suficient
cs	Czech Nutná a postačující podmínka
de	German Notwendige und hinreichende Bedingung
en	English Necessity and sufficiency
eo	Esperanto Neceso kaj sufiĉo
eu	Basque Beharrezkotasuna eta nahikotasuna
fa	Persian لازم و کافی
fi	Finnish Välttämätön ja riittävä ehto
gl	Galician Condición necesaria e suficiente
hy	Armenian Անհրաժեշտ և բավարար պայմաններ
it	Italian Condizione necessaria e sufficiente
kk	Kazakh Сөзсіздік және жеткіліктілік
ko	Korean 필요조건과 충분조건
nl	Dutch Noodzakelijke en voldoende voorwaarde
pt	Portuguese Necessidade e suficiência
ru	Russian Необходимое и достаточное условия
simple	Simple English Necessary and sufficient conditions
sv	Swedish Nödvändiga och tillräckliga villkor
uk	Ukrainian Необхідна і достатня умова
vi	Vietnamese Cần và đủ
zh	Chinese 充分必要条件

Best Rank

Simple English: #14135 08.2024

Global: #24556 04.2014

Best Rank

Simple English: #789 09.2020

Global: #13117 11.2003

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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 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