N-th monomial of a polynomial
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nthmonomial(p, n) returns the
non-trivial monomial of the polynomial
nthmonomial returns the
non-trivial monomial with respect to the lexicographical ordering.
The “first” monomial is the leading monomial as
A zero polynomial has no terms:
A polynomial expression
f is first converted
to a polynomial with the variables given by
If no variables are given, they are searched for in
details of the conversion. The result is returned as polynomial expression.
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
p := poly(3*x^3 + 6*x^2*y^2 + 2, [x]): y := 4: nthmonomial(p, 2)
Evaluation is enforced by
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.
n is larger than the actual number
of terms of the polynomial.