Mathematica usually works by taking whatever input you give, and then processing it. Sometimes, however, you may want to have a program you write explicitly request more ...

Mathematica represents matrices and vectors using lists. Anything that is not a list Mathematica considers as a scalar. A vector in Mathematica consists of a list of scalars. ...

The function Flatten allows you to explicitly flatten out all sublists. FlattenAt lets you specify at what positions you want sublists flattened. Sequence objects ...

In doing a calculation with Mathematica, you usually go through a sequence of steps. If you want to, you can do each step on a separate line. Often, however, you will find it ...

If you want to make use of Mathematica output in an external file such as a program or document, you will often find it useful to "splice" the output automatically into the ...

Forms of Input and Output How Input and Output Work The Representation of Textual Forms

The Structure of Graphics Two-Dimensional Graphics Elements Graphics Directives and Options

Introduction Methods for Local Minimization Methods for Solving Nonlinear Equations

Verbatim patterns. Here the x_ in the rule matches any expression. The Verbatim tells Mathematica that only the exact expression x_ should be matched.

Introduction General String Patterns Regular Expressions