Here is a system of two ODEs whose coefficient matrix has real and distinct eigenvalues. This solves the system. Note that the general solution depends on two arbitrary ...

FiniteGroupData[name, " property"] gives the value of the specified property for the finite group specified by name.FiniteGroupData["class"] gives a list of finite groups in ...

Tube[{{x_1, y_1, z_1}, {x_2, y_2, z_2}, ...}] represents a 3D tube around the line joining a sequence of points.Tube[{pt_1, pt_2, ...}, r] represents a tube of radius ...

GUIKit definitions are defined as a hierarchy of widgets, whether they are defined in the Mathematica expression format or in the XML format, GUIKitXML. A single ...

Mathematica 7 delivers the latest fruits of Wolfram Research's major long-term Computable Data Initiative, providing immediate access to curated static and dynamic data in ...

lhs =. removes any rules defined for lhs.

Here is the integral ∫x^n dx in Mathematica. Here is a slightly more complicated example. Mathematica knows how to do almost any integral that can be done in terms of ...

NArgMax[f, x] gives a position x_max at which f is numerically maximized.NArgMax[f, {x, y, ...}] gives a position {x_max, y_max, ...} at which f is numerically ...

The general solution to a differential equation contains undetermined coefficients that are labeled C[1], C[2], and so on. This example has one undetermined parameter, C[1]. ...

Im[z] gives the imaginary part of the complex number z.