Singular

D.15.19.2 changeCoordinates

Usage:

changeCoordinates(vecField V, map psi), where psi is an algebra morphism k[x1,...,xn]->k[y1,...,ym] expressing the new basis in terms of the old.

Return:

A new vecfield in the new coordinates.

Note:

the coordinate change necessitates inverting psi.
The inversion will be correct up to the precision of V.

LIB "VecField.lib";
ring r = 0, (x, y, z),ds;
vector v = [-1,-1,-1];
VecField V = v;
V.precision = 4;
map phi = r, x-2y2+z3,2y+y3+z,z;
VecField W = changeCoordinates(V,phi);