Steps in the operation of Mathematica. When you type something like x^2 what Mathematica at first sees is just the string of characters x, ^, 2. But with the usual way that ...

"Redrawing and Combining Plots" describes how you can make regular arrays of plots using GraphicsGrid. Using the Inset graphics primitive, however, you can combine and ...

One of the most common uses of MathLink is to allow you to call functions in an external program from within Mathematica. Once the external program has been set up, all you ...

This does an integral over the interior of the unit circle. Here is an equivalent form. Even though an integral may be straightforward over a simple rectangular region, it ...

Mathematica creates a new symbol when you first enter a particular name. Sometimes it is useful to "intercept" the process of creating a new symbol. Mathematica provides ...

"Interrupting Calculations" describes how you can interrupt a Mathematica computation by pressing appropriate keys on your keyboard. In some cases, you may want to simulate ...

Representations of real intervals. This represents all numbers between -2 and +5. The square of any number between -2 and +5 is always between 0 and 25.

Basic Objects Input Syntax Some General Notations and Conventions

Nested logical and piecewise functions can be expanded out much like nested arithmetic functions. You can do this using LogicalExpand and PiecewiseExpand. Expanding out ...

In many kinds of calculations, you need to set up "arrays" that contain sequences of expressions, each specified by a certain index. One way to implement arrays in ...