degree
-- the degree of a
polynomialdegree(
p)
returns the total degree of the
polynomial p
.
degree(
p, x)
returns the degree of
p
with respect to the variable x
.
degree(p)
degree(p, x)
degree(f <, vars>)
degree(f <, vars>, x)
p |
- | 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 |
a nonnegative number. FAIL
is returned if the input cannot be
converted to a polynomial.
p
, f
coeff
, degreevec
, ground
, lcoeff
, ldegree
, lmonomial
, lterm
, nterms
, nthcoeff
, nthmonomial
, nthterm
, poly
, poly2list
, tcoeff
f
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.The total degree of the terms in the following polynomial expression is computed:
>> degree(x^3 + x^2*y^2 + 2)
4
degree
may be applied to polynomials of
type DOM_POLY
:
>> degree(poly(x^2*z + x*z^3 + 1, [x, z]))
4
The 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
The degree of the zero polynomial is defined as 0:
>> degree(0, [x, y])
0