There are different ways to invent the data, such as simply drawing a straight line between to data points, or using polynomials.

The construction for general reductive group is similar and uses invariant polynomials on the Lie algebra of G.

The equioscillation theorem concerns the approximation of continuous functions using polynomials when the merit function is the maximum difference (uniform norm).

It was years before I learned to communicate with other people without using polynomials.

The Rabin fingerprinting scheme is a method for implementing public key fingerprints using polynomials over a finite field.

Although the correlation can be reduced by using orthogonal polynomials, it is generally more informative to consider the fitted regression function as a whole.

Linear interpolation is a method of curve fitting using linear polynomials.

The classical approach is to use polynomials of degree 3 - the case of cubic splines.

An alternative to fitting m data points by a power series in the subsidiary variable, z, is to use orthogonal polynomials.

The error bounds for Sobol sequences given in indicate that we should use primitive polynomials of as low a degree as possible.