Singular

5.1.17 deg

Syntax:

deg ( poly_expression )
deg ( vector_expression )
deg ( poly_expression , intvec_expression )
deg ( vector_expression , intvec_expression )

Type:

int

Purpose:

returns the maximal (weighted) degree of the terms of a polynomial or a vector;
deg(0) is -1.
The optional second argument gives the weight vector, otherwise weight 1 is used for lex orderings and block ordering, the default weights of the base ring are used for orderings consisting of one block.

Example:

ring r=0,(x,y,z),lp; deg(0); ==> -1 deg(x3+y4+xyz3); ==> 5 ring rr=7,(x,y),wp(2,3); poly f=x2+y3; deg(f); ==> 9 ring R=7,(x,y),ws(2,3); poly f=x2+y3; deg(f); ==> 9 vector v=[x2,y]; deg(v); ==> 4