Rigid Body Solvers (Mathematica Tutorial)

The equations of motion for a free rigid body whose center of mass is at the origin are given by the following Euler equations (see [MR99]). Two quadratic first integrals of ...

Non-Standard Evaluation (Mathematica Tutorial)

While most built-in Mathematica functions follow the standard evaluation procedure, some important ones do not. For example, most of the Mathematica functions associated with ...

The Syntax of the Mathematica Language (Mathematica Tutorial)

Mathematica uses various syntactic rules to interpret input that you give, and to convert strings and boxes into expressions. The version of these rules that is used for ...

Pure Functions (Mathematica Tutorial)

Pure functions. When you use functional operations such as Nest and Map, you always have to specify a function to apply. In all the examples above, we have used the "name" of ...

Registration and Passwords (Mathematica Tutorial)

To install and use Mathematica and MathLM, you must activate your product and receive a password. Before registering, you must first begin the installation process according ...

SystemsModelSeriesConnect (Built-in Mathematica Symbol)

SystemsModelSeriesConnect[sys_1, sys_2] connects TransferFunctionModel or StateSpaceModel objects sys_1 and sys_2 in series. SystemsModelSeriesConnect[sys_1, sys_2, {y, u}] ...

$CCompiler (C Compiler Driver Package Symbol)

$CCompiler sets the default C compiler to use for operating on C code.

ButcherTreeSimplify (Numerical Differential Equation Analysis Package Symbol)

ButcherTreeSimplify[p, \[Eta], \[Xi]] gives the set of trees through order p that are not reduced by Butcher's quadrature conditions through order p, row-simplifying ...

FirstIntegral (Variational Methods Package Symbol)

FirstIntegral[u] represents a first integral associated with the variable u in the output of the function FirstIntegrals.

Take a Derivative (Mathematica How To)

Mathematica makes it easy to take even the most complicated derivatives involving any of its huge range of differentiable special functions.