InterpolatingPolynomial[{f_1, f_2, ...}, x] constructs an interpolating polynomial in x which reproduces the function values f_i at successive integer values 1, 2, ... of x. ...

For many kinds of practical calculations, the only operations you will need to perform on polynomials are essentially structural ones. If you do more advanced algebra with ...

Built into Mathematica are state-of-the-art constrained nonlinear fitting capabilities, conveniently accessed with models given directly in symbolic form. Mathematica also ...

FunctionInterpolation[expr, {x, x_min, x_max}] evaluates expr with x running from x_min to x_max and constructs an InterpolatingFunction object which represents an ...

Factoring a quadratic polynomial in one variable is straightforward. But Mathematica routinely factors degree-100 polynomials in 3 variables—by making use of a tower of ...

InterpolatingFunction[domain, table] represents an approximate function whose values are found by interpolation.

Fit[data, funs, vars] finds a least-squares fit to a list of data as a linear combination of the functions funs of variables vars.

Mathematica 6.0 represented a major new level in Mathematica's distinguished twenty-year history of broad cutting-edge algorithm development. Mathematica's unified ...

FactorialPower[x, n] gives the factorial power x (n). FactorialPower[x, n, h] gives the step-h factorial power x (n, h).

FindSequenceFunction[{a_1, a_2, a_3, ...}] attempts to find a simple function that yields the sequence a_n when given successive integer arguments. ...