| #### D.15.3.23 difformDeg Procedure from library `difform.lib` (see difform_lib). Usage: deg(df); df difform Return: degree of df - degree of the highest generator, -1 if df = 0 Note: - the procedure does not check if df is homogeneous - be careful: difformDeg does not cast polynomials to differential forms. So before applying to a polynomial, a type cast should be done Example:
    LIB "difform.lib";
    ring R = 0,(x,y,z),ds;
    diffAlgebra();
    ==> // The differential algebra Omega_R was constructed and the differential \
       forms dDx, dDy, dDz, dx, dy, dz are available.
    /////////////////////////
    // Degree computations //
    /////////////////////////
    deg(3*dx - x8*dx*dy);
    ==> 2
    deg(3 + x8*dy);
    ==> 1
    // When applying homog to a polynomial which is considered
    // as a differential form, a type cast has to be done first
    deg(x2-y);
    ==> 2
    difform df = x2-y;
    deg(df);
    ==> 0
    kill Omega_R,df,dx,dy,dz;
See also: difformIsHomog; difformIsHomogDeg.

User manual for Singular version 4.4.0, 2024, generated by texi2html.