suivant: Potential : potential
monter: Multivariate calculus
précédent: Divergence : divergence
Table des matières
Index
Rotationnal : curl
curl takes two arguments : a 3-d vector field
depending on 3 variables.
curl returns the rotationnal of the vector, defined by:
curl([A,B,C],[x,y,z])=
[
![$\displaystyle {\frac{{\partial C}}{{\partial y}}}$](img401.png)
-
![$\displaystyle {\frac{{\partial B}}{{\partial z}}}$](img402.png)
,
![$\displaystyle {\frac{{\partial A}}{{\partial z}}}$](img403.png)
-
![$\displaystyle {\frac{{\partial C}}{{\partial x}}}$](img404.png)
,
![$\displaystyle {\frac{{\partial B}}{{\partial x}}}$](img405.png)
-
![$\displaystyle {\frac{{\partial A}}{{\partial y}}}$](img406.png)
]
Note that n must be equal to 3.
Input :
curl([x*z,-y^
2,2*x^
y],[x,y,z])
Output :
[2*x^
y*log(x),x-2*y*x^
(y-1),0]
giac documentation written by Renée De Graeve and Bernard Parisse