Union[list_1, list_2, ...] gives a sorted list of all the distinct elements that appear in any of the list_i. Union[list] gives a sorted version of a list, in which all ...

Using the objects described in "Introduction to Patterns", you can set up patterns for many kinds of expressions. In all cases, you must remember that the patterns must ...

In addition to a rich set of standard file operations, Mathematica's unified symbolic architecture makes it easy to apply algorithmic approaches and efficient higher-level ...

__(two _characters) or BlankSequence[] is a pattern object that can stand for any sequence of one or more Mathematica expressions. __h or BlankSequence[h] can stand for any ...

Transpose[list] transposes the first two levels in list. Transpose[list, {n_1, n_2, ...}] transposes list so that the k\[Null]^th level in list is the n_k\[Null]^th level in ...

Since lists are just a particular kind of expression, it will come as no surprise that you can refer to parts of any expression much as you refer to parts of a list. This ...

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 ...

Mathematica symbolic expressions can represent an immense range of types of objects. Mathematica provides a rich collection of functions to test expressions. Functions that ...

Array[f, n] generates a list of length n, with elements f[i]. Array[f, {n_1, n_2, ...}] generates an n_1*n_2*... array of nested lists, with elements f[i_1, i_2, ...]. ...

Join[list_1, list_2, ...] concatenates lists or other expressions that share the same head.Join[list_1, list_2, ..., n] joins the objects at level n in each of the list_i.