A full Mathematica installation consists of thousands of separate files, arranged in several hundred directories under the main installation directory. The location of the ...

Mathematical constants. Euler's constant EulerGamma is given by the limit γUnderscriptBox[lim, RowBox[{m, , ∞}], LimitsPositioning -> True](UnderoverscriptBox[∑, RowBox[{k, ...

Finding memory usage. Particularly for symbolic computations, memory is usually the primary resource which limits the size of computations you can do. If a computation runs ...

The simplest way to mix text and formulas in a Mathematica notebook is to put each kind of material in a separate cell. Sometimes, however, you may want to embed a formula ...

The method "DoubleStep" performs a single application of Richardson's extrapolation for any one-step integration method. Although it is not always optimal, it is a general ...

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 ...

If you enter text in languages other than English, you will typically need to use various additional accented and other characters. If your computer system is set up in an ...

Mathematica provides users with access to their computer's file system (Files), interprocess communication (MathLink Mathematica Functions), evaluation of data as code ...

Orthogonal polynomials. Legendre polynomials LegendreP[n,x] arise in studies of systems with three-dimensional spherical symmetry. They satisfy the differential equation ...

Functions to pick out pieces of polynomials. Here is an algebraic expression. This gives the coefficient of x in e.