CoCoA:Deg

Deg

the degree of a polynomial or vector

Description

The first form of this function returns the (weighted) degree of F.

The second form returns the (un-weighted) degree of the indeterminate

X in F. In either case, if F is a vector, the maximum of the degrees of its components is returned. (For the degree of a ring or quotient object, see <ttref>Multiplicity</ttref>.)

Example

  Use R ::= Q[x,y];
  Deg(xy^2+y);
3
-------------------------------
  Deg(xy^2+y, x);
1
-------------------------------
  Use R ::= Q[x,y], Weights(2,3);
  Deg(xy^2+y);
8
-------------------------------
  Deg(xy^2+y, x);
1
-------------------------------
  Deg(Vector(x^2, xy^3+y, x^2-y^5));
5
-------------------------------
  Deg(Vector(x^2, xy^3+y, x^2-y^5), x);
2
------------------------------

Syntax

Deg(F:POLY or VECTOR):INT
Deg(F:POLY or VECTOR,X:INDET):INT

MDeg

Weights Modifier

   <type>polynomial</type>
   <type>ring</type>
   <type>vector</type>