Polynomial

In mathematics, polynomial functions, or polynomials, are an important class of simple and smooth functions. Here, simple means they are constructed using only multiplication and addition. Smooth means they are infinitely differentiable, i.e., they have derivatives of all finite orders.

Notes

The polynomials up to degree n form a vector space of dimension n + 1, which is sometimes called Pi_n or K_n (where K indicates the field of coefficients, e.g. K=R or C).

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In this article polynomials are written using the (canonical) monomial basis (i.e. 1, x, x2, …, xn), but it should be mentioned that other bases exist, for example the Chebyshev polynomials, which may be preferable depending on the problem domain.

Related Topics:
Canonical - Monomial basis - Bases - Chebyshev polynomials

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