Singular Manual: changeCoordinates

| #### D.15.26.2 changeCoordinates Procedure from library `VecField.lib` (see VecField_lib). 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. Example:
    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);

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