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Area Mathematics - General concepts and linear algebra / Scalar and vector fields

IEV ref102-05-01

Symbol
ds

en
scalar line element
at a given point of a given oriented curve, differential of the abscissa of the point

Note 1 to entry: For a curve defined by the position vector r as a function of a parameter u, the scalar line element is given by | dr du |du MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaamaaemaabaWaaSaaae aaciGGKbGaaCOCaaqaaiGacsgacaWG1baaaaGaay5bSlaawIa7aiGa csgacaWG1baaaa@3E2F@ .


fr
élément scalaire d'arc, m
en un point donné d'une courbe orientée donnée, différentielle de l'abscisse du point

Note 1 à l'article: Pour une courbe définie par le rayon vecteur r en fonction d'un paramètre u, l'élément scalaire d'arc est | dr du |du MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaamaaemaabaWaaSaaae aaciGGKbGaaCOCaaqaaiGacsgacaWG1baaaaGaay5bSlaawIa7aiGa csgacaWG1baaaa@3E2F@ .


de
skalares Linienelement, n

es
elemento escalar de línea
elemento escalar de arco

ja
スカラ場の線素

pl
element różniczkowy skalarny krzywej

pt
elemento escalar do arco

sr
скаларни линијски елемент, м јд

sv
skalärt längdelement

zh
标量线元素

Publication date: 2008-08
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