One of the most important features of Mathematica is that it is an extensible system. There is a certain amount of mathematical and other functionality that is built into ...

$ContinuousExtension is a global environment setting, specifying whether to generate conditions for continuous extensions of Runge\[Dash]Kutta methods.

$RungeKuttaMethod is a global environment setting, specifying the type of method to be generated by ButcherPhi and related functions.

Numerical algorithms for constrained nonlinear optimization can be broadly categorized into gradient-based methods and direct search methods. Gradient-based methods use first ...

DifferenceRootReduce[expr, n] attempts to reduce expr to a single DifferenceRoot object as a function of n.

Patterns are used throughout Mathematica to represent classes of expressions. A simple example of a pattern is the expression f[x_]. This pattern represents the class of ...

Mathematica notebooks provide a sophisticated environment for creating technical documents. In addition to typesetting within Mathematica , you can use Mathematica to ...

StringReplace["string", s -> sp] or StringReplace["string", {s_1 -> sp_1, s_2 -> sp_2, ...}] replaces the string expressions s_i by sp_i whenever they appear as substrings of ...

Probability and statistics are used to model uncertainty from a variety of sources, such as incomplete or simplified models. Yet you can build useful models for aggregate or ...

Mathematica includes many powerful operations for working with lists. It is often desirable to map a function onto each individual element in a list. While listable functions ...