Frenet–Serret formulas

en

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Frenet–Serret formulas

Quality:

Frenet–Serret formulas - formulas in differential geometry. Article "Frenet–Serret formulas" in English Wikipedia has 57.7 points for quality (as of July 1, 2025). The article contains 9 references and 16 sections.

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

Since the creation of article "Frenet–Serret formulas", its content was written by 119 registered users of English Wikipedia and edited by 380 registered Wikipedia users in all languages.

The article is cited 119 times in English Wikipedia and cited 409 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #28895 in September 2004
  • Global: #31906 in November 2004

The highest popularity rank from 2008:

  • Local (English): #119930 in October 2013
  • Global: #129856 in January 2015

There are 18 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)
Frenet–Serret formulas
57.665
2Portuguese (pt)
Triedro de Frenet
41.1976
3Spanish (es)
Fórmulas de Frenet-Serret
38.1823
4French (fr)
Repère de Frenet
30.6519
5Polish (pl)
Wzory Freneta
24.3123
6Chinese (zh)
弗莱纳公式
23.3164
7Catalan (ca)
Fórmules Frenet-Serret
21.8297
8German (de)
Frenetsche Formeln
21.4648
9Basque (eu)
Freneten formulak
16.3483
10Japanese (ja)
フレネ・セレの公式
14.8857
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 "Frenet–Serret formulas" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Frenet–Serret formulas
1 245 264
2French (fr)
Repère de Frenet
476 296
3German (de)
Frenetsche Formeln
199 513
4Russian (ru)
Трёхгранник Френе
114 577
5Japanese (ja)
フレネ・セレの公式
72 957
6Polish (pl)
Wzory Freneta
65 935
7Chinese (zh)
弗莱纳公式
65 058
8Portuguese (pt)
Triedro de Frenet
54 069
9Korean (ko)
프레네-세레 공식
33 725
10Arabic (ar)
صيغ فريني-سيري
23 862
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 "Frenet–Serret formulas" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Frenet–Serret formulas
4 967
2French (fr)
Repère de Frenet
1 712
3Spanish (es)
Fórmulas de Frenet-Serret
584
4Japanese (ja)
フレネ・セレの公式
549
5German (de)
Frenetsche Formeln
403
6Russian (ru)
Трёхгранник Френе
324
7Chinese (zh)
弗莱纳公式
312
8Korean (ko)
프레네-세레 공식
198
9Polish (pl)
Wzory Freneta
186
10Portuguese (pt)
Triedro de Frenet
184
More...

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

The highest AI

Language versions of the article "Frenet–Serret formulas" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Frenet–Serret formulas
119
2German (de)
Frenetsche Formeln
57
3French (fr)
Repère de Frenet
51
4Polish (pl)
Wzory Freneta
25
5Portuguese (pt)
Triedro de Frenet
22
6Russian (ru)
Трёхгранник Френе
21
7Japanese (ja)
フレネ・セレの公式
17
8Dutch (nl)
Formules van Frenet-Serret
11
9Hebrew (he)
משוואות פרנה-סרה
9
10Chinese (zh)
弗莱纳公式
9
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 "Frenet–Serret formulas" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Japanese (ja)
フレネ・セレの公式
2
2Arabic (ar)
صيغ فريني-سيري
1
3Swedish (sv)
Frenet–Serrets formler
1
4Catalan (ca)
Fórmules Frenet-Serret
0
5German (de)
Frenetsche Formeln
0
6English (en)
Frenet–Serret formulas
0
7Spanish (es)
Fórmulas de Frenet-Serret
0
8Basque (eu)
Freneten formulak
0
9French (fr)
Repère de Frenet
0
10Hebrew (he)
משוואות פרנה-סרה
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 "Frenet–Serret formulas" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Frenet–Serret formulas
119
2French (fr)
Repère de Frenet
77
3German (de)
Frenetsche Formeln
53
4Chinese (zh)
弗莱纳公式
26
5Japanese (ja)
フレネ・セレの公式
25
6Portuguese (pt)
Triedro de Frenet
24
7Russian (ru)
Трёхгранник Френе
19
8Spanish (es)
Fórmulas de Frenet-Serret
11
9Ukrainian (uk)
Тригранник Френе
10
10Basque (eu)
Freneten formulak
7
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
صيغ فريني-سيري
caCatalan
Fórmules Frenet-Serret
deGerman
Frenetsche Formeln
enEnglish
Frenet–Serret formulas
esSpanish
Fórmulas de Frenet-Serret
euBasque
Freneten formulak
frFrench
Repère de Frenet
heHebrew
משוואות פרנה-סרה
jaJapanese
フレネ・セレの公式
koKorean
프레네-세레 공식
nlDutch
Formules van Frenet-Serret
plPolish
Wzory Freneta
ptPortuguese
Triedro de Frenet
roRomanian
Formulele lui Frenet
ruRussian
Трёхгранник Френе
svSwedish
Frenet–Serrets formler
ukUkrainian
Тригранник Френе
zhChinese
弗莱纳公式

Popularity rank trends

Best Rank English:
#119930
10.2013
Global:
#129856
01.2015

AI rank trends

Best Rank English:
#28895
09.2004
Global:
#31906
11.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Frenet–Serret formulas from Wikipedia articles about Torsion of a curve, Curvature, Differential geometry of curves, Osculating plane and Moving frame. Whereas reading the article about Frenet–Serret formulas people most often go to Wikipedia articles on Torsion of a curve, Jean Frédéric Frenet, Curvature, Differential geometry of curves and Darboux frame.

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