In the context of linear algebra, this meaning ( polynomial functions of degree 0 or 1 ) is a special kind of affine map.
42.
Furthermore, the sheaf on \ operatorname { Spec } ( R ) and the sheaf of polynomial functions on " A " are essentially identical.
43.
However, for certain " sets " of such polynomials it may happen that for only finitely many combinations all polynomial functions take the value zero.
44.
A result of the Great Picard Theorem is that any entire, non-polynomial function attains all possible complex values infinitely often, with at most one exception.
45.
The exponential map is onto in each case, since the polynomial function lies in a given Lie subalgebra if and do and are sufficiently small.
46.
One can use Horner's method twice to efficiently evaluate the value of the polynomial function and its first derivative; this combination is called Birge Vieta's method.
47.
Then, a polynomial function is a function such that the image of any point is the value of some multivariate polynomial function of the coordinates of the point.
48.
There is a natural injective function from an affine space into the set of prime ideals ( that is the spectrum ) of its ring of polynomial functions.
49.
For sufficiently large n, it coincides with a polynomial function of degree equal to \ dim ( \ operatorname { gr } _ I ( M ) ).
50.
Then, a polynomial function is a function such that the image of any point is the value of some multivariate polynomial function of the coordinates of the point.
