CASA Function: leadingForm

Collects the terms of a polynomial with a degree equal to the degree of the polynomial.

Calling Sequence:

• f := leadingForm(poly,vars)

Parameters:

poly : polynom(anything,vars)

• A polynomial in the variables vars over some coefficient domain.

vars : list(name)

• A list of variable names.

Result:

p : homogeneousPolynom(vars)

• A homogeneous polynom over the same coefficient domain as poly in the variables vars of degree equal to the degree of poly in the variables vars.

Description:

• leadingForm(poly,vars) collects the terms of highest degree of the polynomial poly.
• The leading form of the zero polynomial is defined to be zero.

Examples:

> f := x^2+3*x*y+y;

> g:=homogeneousForm(f,[x,y],3);

> h:=leadingForm(f,[x,y]);

See Also: