n! gives the factorial of n.

FindSequenceFunction[{a_1, a_2, a_3, ...}] attempts to find a simple function that yields the sequence a_n when given successive integer arguments.FindSequenceFunction[{{n_1, ...

Many differential equations exhibit some form of stiffness, which restricts the step size and hence effectiveness of explicit solution methods. A number of implicit methods ...

ZTransform[expr, n, z] gives the Z transform of expr. ZTransform[expr, {n_1, n_2, ...}, {z_1, z_2, ...}] gives the multidimensional Z transform of expr.

Beta[a, b] gives the Euler beta function \[CapitalBeta](a, b). Beta[z, a, b] gives the incomplete beta function \[CapitalBeta]_z (a, b).

There are two ways to use the functions in this package to place a legend in a graphic: the first can only be used as an option to the built-in functions Plot, ListPlot and ...

Mathematica contains hundreds of original algorithms for computing integer functions involving integers of any size.

ParametricPlot[{f_x, f_y}, {u, u_min, u_max}] generates a parametric plot of a curve with x and y coordinates f_x and f_y as a function of u. ParametricPlot[{{f_x, f_y}, ...

FinancialDerivative[instrument, params, ambientparams] gives the value of the specified financial instrument.FinancialDerivative[instrument, params, ambientparams, prop] ...

Building large software systems in Mathematica should follow the general principles that apply to building any large software system. The details may be unique to Mathematica ...