"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.

Numerical solution of differential equations. This generates a numerical solution to the equation y^′(x)y(x) with 0<x<2. The result is given in terms of an ...

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 ...

Many of the most powerful list manipulation operations in Mathematica treat whole lists as single objects. Sometimes, however, you need to pick out or set individual elements ...

You can manipulate lists of transformation rules in Mathematica just like other symbolic expressions. It is common to assign a name to a rule or set of rules. This assigns ...

Manipulating global options in the front end. Just like cells and notebooks, the complete Mathematica front end has various options, which you can look at and manipulate from ...

Finding and setting values of symbols. Mathematica effectively stores all definitions you give as lists of transformation rules. When a particular symbol is encountered, the ...