Singular Manual: ord

  | ### 5.1.111 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
See deg; poly; vector.

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