Function: curvarrows - plot a 2D or 3D curve (parametric or cartesian) with arrows from a vector field at points on the curve.
Calling sequence:
curvarrows(fld,curv,t=a..b);
Parameters:
fld
- the vector field, either a
-component list or vector expression in the parameter
t
(specifying the vectors in terms of the parameter) or a function of
variables whose values are
-component lists or vectors (specifying the vector field in terms of Cartesian coordinates), where
is 2 or 3.
curv
- the curve, either a
-component list or vector expression in the parameter
t
(for a parametric representation of the curve) or a scalar expression in
t
(representing the
coordinate while
t
is the
coordinate).
t - name for the parameter.
a , b - real constants, endpoints for the parameter interval.
Optional arguments:
Description:
Examples:
> with(surfarro,curvarrows):
Curve is a circle represented parametrically, vectors are tangent.
>
curv1:= [cos(t),sin(t)];
F1:= diff(curv1,t);
curvarrows(F1, curv1, t = 0 .. 2*Pi, arrowcolour=blue,
scalefactor=1/2, arrowthickness=1, scaling=constrained);
Curve is a semicircle represented in Cartesian coordinates, vectors are normal.
>
curv2:= sqrt(1-x^2);
F2:= [x,curv2];
curvarrows(F2,curv2, x = -1 .. 1,
scalefactor=1/3, scaling=constrained);
Parametric 3D curve, vector field is a function of
,
and
coordinates. Note that 6 arrows appear because the arrows at the beginning and end of the parameter interval coincide.
>
curv3:= [cos(t), sin(t), 1];
F3:= (x,y,z) -> [x, y, z];
curvarrows(F3,curv3, t = 0 .. 2*Pi,
arrowcolour=blue, scalefactor = 1/4, arrownum = 7, scaling=constrained);
See also: arrow2d, arrow3d , surfarrows, plot , plot[parametric] , spacecurve
Maple Advisor Database R. Israel 1998