This is documentation for Mathematica 7, which was
based on an earlier version of the Wolfram Language.
 Rearranging & Restructuring Lists Mathematica encapsulates in a small number of functions vast flexibility in rearranging lists with any structure and any number of elements. Flatten — flatten out any sequence of levels in a nested list Partition — partition lists or nested lists into sublists Join — join lists together at any level      Sort — sort lexicographically, or with any comparison function SortBy — sort by the values of a function applied to elements Reverse — reverse a list, at any level RotateLeft, RotateRight — cyclically rotate lists at any depth      Transpose — transpose any collection of levels      ArrayPad — add padding on each side Riffle — intersperse additional elements PadLeft, PadRight — pad lists to be a particular length at any depth      Split — split into runs of identical elements Gather — gather sublists of identical elements Union, Tally — enumerate, tally all distinct elements in a list DeleteDuplicates — delete duplicate elements in a list SplitBy, GatherBy — split, gather based on values of a function applied to elements           TUTORIALS Lists as Sets Rearranging Lists Rearranging Nested Lists Partitioning and Padding Lists Grouping and Combining Elements of Lists Ordering in Lists Combining Lists MORE ABOUT List Manipulation Elements of Lists Applying Functions to Lists Discrete Mathematics Sequence Alignment & Comparison