This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
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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
    
    
ReplacePart  ▪ Take  ▪ Drop  ▪ Append  ▪ AppendTo
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