N-th monomial of a polynomial
This functionality does not run in MATLAB.
nthmonomial(p, n) nthmonomial(f, <vars>, n)
nthmonomial(p, n) returns the n-th non-trivial monomial of the polynomial p.
nthmonomial returns the n-th non-trivial monomial with respect to the lexicographical ordering.
The "first" monomial is the leading monomial as returned by lmonomial.
A zero polynomial has no terms: nthmonomial returns FAIL.
A polynomial expression f is first converted to a polynomial with the variables given by vars. If no variables are given, they are searched for in f. See poly about details of the conversion. The result is returned as polynomial expression. FAIL is returned if f cannot be converted to a polynomial.
We give some self explaining examples:
p := poly(100*x^100 + 49*x^49 + 7*x^7, [x]): nthmonomial(p, 1), nthmonomial(p, 2), nthmonomial(p, 3)
nthmonomial(poly(0, [x]), 1)
We demonstrate the evaluation strategy of nthmonomial:
p := poly(3*x^3 + 6*x^2*y^2 + 2, [x]): y := 4: nthmonomial(p, 2)
Evaluation is enforced by eval:
delete p, y:
A positive integer
Polynomial of the same type as p. An expression is returned if a polynomial expression is given as input. FAIL is returned if n is larger than the actual number of terms of the polynomial.