Mathematica expressions provide a very general way to handle all kinds of data, and you may sometimes want to use such expressions inside your external programs. A language ...

DatabaseLink provides functions for working with data stored in tables in SQL databases. Operations such as searching, inserting, and deleting are supported. They also ...

Many real-world applications require the solution of IVPs and BVPs for nonlinear ODEs. For example, consider the logistic equation, which occurs in population dynamics. This ...

"Gauss–Newton" and "conjugate gradient" methods use derivatives. When Mathematica cannot compute symbolic derivatives, finite differences will be used. Computing derivatives ...

From overall layout to details of particular features, Mathematica allows broad manual and programmatic control of the appearance of charts —fully integrated with its ...

Manipulate is an extremely powerful function that immediately creates complete dynamic interfaces, automatically optimized for usability and appearance. For specific ...

The general first-order nonlinear PDE for an unknown function u(x,y) is given by Here F is a function of uu(x,y), p ( ∂u(x,y) ) / ( ∂x ) , and q ( ∂u(x,y) ) / ( ∂y ) . The ...

MathLink allows you to call an external program from within Mathematica even when that program is running on a remote computer. Typically, you need to start the program ...

Sound[primitives] represents a sound. Sound[primitives, t] specifies that the sound should have duration t.Sound[primitives, {t_min, t_max}] specifies that the sound should ...

Line[{pt_1, pt_2, ...}] is a graphics primitive that represents a line joining a sequence of points. Line[{{pt_11, pt_12, ...}, {pt_21, ...}, ...}] represents a collection of ...