When Mathematica cannot give you an explicit result for an integral, it leaves the integral in a symbolic form. It is often useful to manipulate this symbolic form. ...

Mathematical Notation in Notebooks Special Characters Names of Symbols and Mathematical Objects

Ordering in lists. Here is a list of numbers. This gives the elements of t in sorted order.

In some cases you may need to specify pattern sequences that are more intricate than things like x__ or x..; for such situations you can use PatternSequence[p_1,p_2,…]. ...

You will encounter nested lists if you use matrices or generate multidimensional arrays and tables. Mathematica provides many functions for handling such lists. A few ...

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 ...