Linear and Quasi-Linear PDEs (Mathematica Tutorial)

First-order PDEs are usually classified as linear, quasi-linear, or nonlinear. The first two types are discussed in this tutorial. A first-order PDE for an unknown function ...

Nonlinear IVPs and BVPs (Mathematica Tutorial)

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 ...

Making Power Series Expansions (Mathematica Tutorial)

Functions for creating power series. Here is the power series expansion for exp(x) about the point x0 to order x^4. Here is the series expansion of exp(x) about the point ...

GUIKit Example: GraphEditor (GUIKit Package Tutorial)

This example demonstrates the benefit of supplementing Mathematica functionality with GUIKit user interface elements leveraging existing third-party graph model and editing ...

ConditionalExpression (Built-in Mathematica Symbol)

ConditionalExpression[expr, cond] is a symbolic construct that represents the expression expr when the condition cond is True.

FullForm (Built-in Mathematica Symbol)

FullForm[expr] prints as the full form of expr, with no special syntax.

Mean (Built-in Mathematica Symbol)

Mean[list] gives the statistical mean of the elements in list. Mean[dist] gives the mean of the symbolic distribution dist.

FittedModel (Built-in Mathematica Symbol)

FittedModel[...] represents the symbolic fitted model obtained from functions like LinearModelFit.

Module (Built-in Mathematica Symbol)

Module[{x, y, ...}, expr] specifies that occurrences of the symbols x, y, ... in expr should be treated as local. Module[{x = x_0, ...}, expr] defines initial values for x, ...

Elliptic Integrals and Elliptic ... (Mathematica Tutorial)

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 ...