Throw[value] stops evaluation and returns value as the value of the nearest enclosing Catch. Throw[value, tag] is caught only by Catch[expr, form] where form is a pattern ...

Mathematica normally assumes that variables which appear in equations can stand for arbitrary complex numbers. But when you use Reduce, you can explicitly tell Mathematica ...

Mathematica's extensive base of state-of-the-art algorithms, efficient handling of very long integers, and powerful built-in language make it uniquely suited to both research ...

With the default option setting Lighting->Automatic, Mathematica uses a simulated lighting model to determine how to color polygons in three-dimensional graphics. Mathematica ...

Using original algorithms developed at Wolfram Research, Mathematica has full coverage of all standard Bessel-related functions—evaluating every function to arbitrary ...

It is always a good idea to give variables and functions names that are as explicit as possible. Sometimes, however, such names may get inconveniently long. In Mathematica, ...

Basic 3D plotting function. This makes a three-dimensional plot of the function sin(xy). Three-dimensional graphics can be rotated in place by dragging the mouse inside of ...

Version 6.0 added a collection of carefully optimized functions to Mathematica's powerful arsenal of numerical handling capabilities.

Root[f, k] represents the exact k\[Null]^th root of the polynomial equation f[x] == 0. Root[{f, x_0}] represents the exact root of the general equation f[x] == 0 near x = ...

Integrated into Mathematica is a full range of state-of-the-art local and global optimization techniques, both numeric and symbolic, including constrained nonlinear ...