Functions that are specified by simple algebraic formulas tend to be such that when their input is changed only slightly, their output also changes only slightly. But ...

In order to write the most general Mathematica programs you will sometimes need to find out global information about the setup under which your program is being run. Thus, ...

This tutorial introduces some basic algorithms for computing with finite permutation groups, other than those introduced in "Permutation Groups". A subgroup H of a group G ...

Evaluating integrals is much more difficult than evaluating derivatives. For derivatives, there is a systematic procedure based on the chain rule that effectively allows any ...

Mathematica's unique symbolic architecture makes it easy to add toolbars with any possible appearance and action to a Mathematica notebook. The ruler is a toolbar used to set ...

Once installed, MathLM starts running automatically by default each time the machine is rebooted. To start or stop MathLM manually, follow these instructions. It is assumed ...

Minimization and maximization. Minimize and Maximize yield lists giving the value attained at the minimum or maximum, together with rules specifying where the minimum or ...

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.

A possible way of working with permutations is by relating them to the reorderings of the elements of a list. This is the standard point of view in the combinatorial approach ...