The Mathematica function DSolve finds symbolic solutions to differential equations. (The Mathematica function NDSolve, on the other hand, is a general numerical differential ...

You can use lists as tables of values. You can generate the tables, for example, by evaluating an expression for a sequence of different parameter values. This gives a table ...

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 ...

Partitioning elements in a list. This partitions in blocks of 3. This partitions in blocks of 3 with offset 1.

Complicated algebraic expressions can usually be written in many different ways. Mathematica provides a variety of functions for converting expressions from one form to ...

BellY[n, k, {x_1, ..., x n - k + 1}] gives the partial Bell polynomial Y n, k (x_1, ..., x n - k + 1). BellY[n, k, m] gives the generalized partial Bell polynomial of a ...

Introduction Finding Expressions That Match a Pattern Naming Pieces of Patterns

This section discusses commands that get information about database columns. If you find that the examples in this section do not work as shown, you may need to install or ...

If you want to do simple operations on Mathematica notebooks, then you will usually find it convenient just to use the interactive capabilities of the standard Mathematica ...

The Mathematica function NIntegrate is a general numerical integrator. It can handle a wide range of one-dimensional and multidimensional integrals. Finding a numerical ...