Finite Fields Package (Finite Fields Package Tutorial)

A field is an algebraic structure obeying the rules of ordinary arithmetic. In particular, a field has binary operations of addition and multiplication, both of which are ...

Fourier Series Package (Fourier Series Package Tutorial)

The Mathematica kernel provides the functions FourierTransform and InverseFourierTransform for computing the symbolic Fourier exponential transform and inverse transform. It ...

Bias (Function Approximations Package Symbol)

Bias is an option to RationalInterpolation, GeneralRationalInterpolation, MiniMaxApproximation, and GeneralMiniMaxApproximation that specifies the bias to apply when ...

Brake (Function Approximations Package Symbol)

Brake is an option to MiniMaxApproximation and GeneralMiniMaxApproximation that specifies how changes from one iteration to the next are to be restricted.

Derivatives (Function Approximations Package Symbol)

Derivatives is an option to MiniMaxApproximation and GeneralMiniMaxApproximation that specifies an expression that evaluates to a list containing the function and its first ...

EconomizedRationalApproximation (Function Approximations Package Symbol)

EconomizedRationalApproximation[expr, {x, {x_0, x_1}, m, n}] gives the economized rational approximation to expr that is good over the interval x_0 to x_1, with numerator ...

GeneralMiniMaxApproximation (Function Approximations Package Symbol)

GeneralMiniMaxApproximation[{f_x, f_y}, {t, {t_0, t_1}, m, n}, x] finds the rational polynomial function of x, with numerator order m and denominator order n, that gives a ...

GeneralRationalInterpolation (Function Approximations Package Symbol)

GeneralRationalInterpolation[{f_x, f_y}, {t, m, n}, x, {t_1, ..., t m + n + 1}]] gives the rational polynomial function of x, with numerator order m and denominator order n, ...

InterpolateRoot (Function Approximations Package Symbol)

InterpolateRoot[lhs == rhs, {x, x_0, x_1}] searches for a numerical solution to the equation lhs == rhs using x_0 and x_1 as the first two values of x.

ListIntegrate (Obsolete Function Approximations Package Symbol)

In Version 6, ListIntegrate has been superseded by Integrate[Interpolation[data, InterpolationOrder -> k][x], {x, Max[x_c], Min[x_c]}], for data = {{x_1, y_1}, ..., {x_n, ...