Compile[{x_1, x_2, ...}, expr] creates a compiled function that evaluates expr assuming numerical values of the x_i. Compile[{{x_1, t_1}, ...}, expr] assumes that x_i is of a ...

ParticleData[name, " property"] gives the specified property for a subatomic particle or family of particles with the specified name. ParticleData[{name, q}, " property"] ...

PiecewiseExpand[expr] expands nested piecewise functions in expr to give a single piecewise function. PiecewiseExpand[expr, assum] expands piecewise functions using ...

Table[expr, {i_max}] generates a list of i_max copies of expr. Table[expr, {i, i_max}] generates a list of the values of expr when i runs from 1 to i_max. Table[expr, {i, ...

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 ...

When you do calculations with arbitrary-precision numbers, Mathematica keeps track of precision at all points. In general, Mathematica tries to give you results which have ...

Mathematica provides functions that allow users to write their own file format converters and integrate them with the Mathematica Import and Export framework. You can ...

Even more so than for other special functions, you need to be very careful about the arguments you give to elliptic integrals and elliptic functions. There are several ...

Consider the matrix differential equation where the initial value y_0 y(0)∈^m×p is given. Assume that y_0^Ty_0I, that the solution has the property of preserving ...

The Mathematica function NIntegrate is a general numerical integrator. It can handle a wide range of one-dimensional and multidimensional integrals. Finding a numerical ...