degree -- the degree of a
polynomial
Introductiondegree(p) returns the total degree of the
polynomial p.
degree(p, x) returns the degree of
p with respect to the variable x.
Call(s)degree(p)
degree(p, x)
degree(f <, vars>)
degree(f <, vars>, x)
Parametersp |
- | a polynomial of type
DOM_POLY |
f |
- | a polynomial expression |
vars |
- | a list of indeterminates of the polynomial: typically, identifiers or indexed identifiers |
x |
- | an indeterminate |
Returnsa nonnegative number. FAIL is returned if the input cannot be
converted to a polynomial.
p, f
Related
Functionscoeff, degreevec, ground, lcoeff, ldegree, lmonomial, lterm, nterms, nthcoeff, nthmonomial, nthterm, poly, poly2list, tcoeff
Detailsf is not element of a polynomial
domain, then degree converts the expression internally to
a polynomial of type DOM_POLY via poly(f). If a list of
indeterminates is specified, the polynomial poly(f, vars) is
considered.degree(f, vars, x) returns 0 if
x is not an element of the list vars.degree is a function of the system kernel.
Example
1The total degree of the terms in the following polynomial expression is computed:
>> degree(x^3 + x^2*y^2 + 2)
4
Example
2degree may be applied to polynomials of
type DOM_POLY:
>> degree(poly(x^2*z + x*z^3 + 1, [x, z]))
4
Example
3The next expression is regarded as a bi-variate
polynomial in x and z. The degree with
respect to z is computed:
>> degree(x^2*z + x*z^3 + 1, [x, z], z)
3
Example
4The degree of the zero polynomial is defined as 0:
>> degree(0, [x, y])
0