Cusp (singularity)

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Cusp (singularity)

Quality:

Cusp - point on a curve where a moving point on the curve must start to move backward. Article "Cusp (singularity)" in English Wikipedia has 20.2 points for quality (as of July 1, 2025). The article contains 0 references and 6 sections. The article also contains quality flaw template, which reduce quality score.

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

Since the creation of article "Cusp (singularity)", its content was written by 50 registered users of English Wikipedia and edited by 188 registered Wikipedia users in all languages.

The article is cited 190 times in English Wikipedia and cited 689 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #36794 in October 2017
  • Global: #92700 in September 2006

The highest popularity rank from 2008:

  • Local (English): #256120 in April 2009
  • Global: #237149 in February 2010

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 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
1Arabic (ar)
قرنة (رياضيات)
23.5735
2English (en)
Cusp (singularity)
20.2037
3Catalan (ca)
Cúspide (matemàtiques)
15.6729
4Russian (ru)
Касп
15.4997
5Spanish (es)
Cúspide (singularidad)
14.09
6Romanian (ro)
Punct de întoarcere
13.7805
7Czech (cs)
Hrot křivky
11.6807
8Japanese (ja)
尖点
10.9871
9Slovenian (sl)
Točka obrata
8.3685
10Ukrainian (uk)
Касп (математика)
6.5347
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 "Cusp (singularity)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Cusp (singularity)
511 145
2Italian (it)
Cuspide (matematica)
237 981
3Russian (ru)
Касп
93 290
4French (fr)
Point de rebroussement
75 908
5Chinese (zh)
尖點
22 487
6Japanese (ja)
尖点
16 651
7Spanish (es)
Cúspide (singularidad)
14 312
8German (de)
Spitze (Singularitätentheorie)
7 558
9Bulgarian (bg)
Рогова точка
4 375
10Ukrainian (uk)
Касп (математика)
3 484
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 "Cusp (singularity)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Cusp (singularity)
2 188
2Italian (it)
Cuspide (matematica)
360
3Russian (ru)
Касп
267
4Chinese (zh)
尖點
215
5French (fr)
Point de rebroussement
212
6Japanese (ja)
尖点
179
7Spanish (es)
Cúspide (singularidad)
74
8Romanian (ro)
Punct de întoarcere
55
9German (de)
Spitze (Singularitätentheorie)
39
10Ukrainian (uk)
Касп (математика)
14
More...

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

The highest AI

Language versions of the article "Cusp (singularity)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Cusp (singularity)
50
2Italian (it)
Cuspide (matematica)
34
3Russian (ru)
Касп
27
4French (fr)
Point de rebroussement
25
5Ukrainian (uk)
Касп (математика)
8
6German (de)
Spitze (Singularitätentheorie)
7
7Japanese (ja)
尖点
7
8Esperanto (eo)
Kuspo (specialaĵo)
6
9Arabic (ar)
قرنة (رياضيات)
4
10Spanish (es)
Cúspide (singularidad)
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 June 2025

Language versions of the article "Cusp (singularity)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Chinese (zh)
尖點
1
2Arabic (ar)
قرنة (رياضيات)
0
3Bulgarian (bg)
Рогова точка
0
4Catalan (ca)
Cúspide (matemàtiques)
0
5Czech (cs)
Hrot křivky
0
6German (de)
Spitze (Singularitätentheorie)
0
7English (en)
Cusp (singularity)
0
8Esperanto (eo)
Kuspo (specialaĵo)
0
9Spanish (es)
Cúspide (singularidad)
0
10French (fr)
Point de rebroussement
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 "Cusp (singularity)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Cusp (singularity)
190
2Italian (it)
Cuspide (matematica)
161
3French (fr)
Point de rebroussement
67
4Russian (ru)
Касп
62
5Japanese (ja)
尖点
32
6Chinese (zh)
尖點
27
7Romanian (ro)
Punct de întoarcere
24
8Ukrainian (uk)
Касп (математика)
23
9Spanish (es)
Cúspide (singularidad)
22
10Esperanto (eo)
Kuspo (specialaĵo)
16
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
arArabic
قرنة (رياضيات)
bgBulgarian
Рогова точка
caCatalan
Cúspide (matemàtiques)
csCzech
Hrot křivky
deGerman
Spitze (Singularitätentheorie)
enEnglish
Cusp (singularity)
eoEsperanto
Kuspo (specialaĵo)
esSpanish
Cúspide (singularidad)
frFrench
Point de rebroussement
itItalian
Cuspide (matematica)
jaJapanese
尖点
nnNorwegian (Nynorsk)
Spiss i matematikk
roRomanian
Punct de întoarcere
ruRussian
Касп
slSlovenian
Točka obrata
ukUkrainian
Касп (математика)
zhChinese
尖點

Popularity rank trends

Best Rank English:
#256120
04.2009
Global:
#237149
02.2010

AI rank trends

Best Rank English:
#36794
10.2017
Global:
#92700
09.2006

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Cusp from Wikipedia articles about Differentiable function, Elliptic curve, Cusp, Singular point of a curve and Caustic. Whereas reading the article about Cusp people most often go to Wikipedia articles on Singular point of a curve, Catastrophe theory, Wikipedia article, Cardioid and Semicubical parabola.

Cumulative results of quality and popularity of the Wikipedia article

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

zh: 尖點
ja: 尖点

News from 12 August 2025

On 12 August 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Cristiano Ronaldo, Wednesday, Georgina Rodríguez, ChatGPT, Weapons, Jenna Ortega, deaths in 2025, Taylor Swift, Miguel Uribe Turbay, 2025–26 UEFA Champions League.

In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

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