Previous Page Next Page Contents

degree -- the degree of a polynomial

Introduction

degree(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)

Parameters

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

Returns

a nonnegative number. FAIL is returned if the input cannot be converted to a polynomial.

Overloadable:

p, f

Related Functions

coeff, degreevec, ground, lcoeff, ldegree, lmonomial, lterm, nterms, nthcoeff, nthmonomial, nthterm, poly, poly2list, tcoeff

Details

Example 1

The total degree of the terms in the following polynomial expression is computed:

>> degree(x^3 + x^2*y^2 + 2)
                                     4

Example 2

degree may be applied to polynomials of type DOM_POLY:

>> degree(poly(x^2*z + x*z^3 + 1, [x, z]))
                                     4

Example 3

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

Example 4

The degree of the zero polynomial is defined as 0:

>> degree(0, [x, y])
                                     0

Changes




Do you have questions or comments?


Copyright © SciFace Software GmbH & Co. KG 2000