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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;
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See also:
difformIsHomog;
difformIsHomogDeg.
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