Singular

5.1.109 ord

Syntax:

ord ( poly_expression )
ord ( vector_expression )

Type:

int

Purpose:

returns the (weighted) degree of the initial term of a polynomial or a vector; the weights are the weights used for the first block of the ring ordering.

Note:

ord(0) is -1.
In a global degree ordering ord is the same as deg.

Example:

ring r=7,(x,y),wp(2,3); ord(0); ==> -1 poly f=x2+y3; // weight on y is 3 ord(f),deg(f); ==> 9 9 ring R=7,(x,y),ws(2,3); poly f=x2+y3; ord(f),deg(f); ==> 4 9 vector v=[x2,y]; ord(v),deg(v); ==> 3 4