This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
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New in 6.0: List Manipulation
Widely recognized as the world's most powerful list manipulation language, Mathematica added in Version 6.0 a number of important new functions. Each function was carefully designed for flexibility, ease of use, wide application and tight integration into the Mathematica system.
New Part Specification Functions
Span (;;) — short notation for sequences of parts, blocks, etc.
Band arbitrary bands in multidimensional arrays
New Functions for List & Array Creation
ConstantArray create a constant array
RandomInteger, RandomChoice, ... — create lists or arrays of random elements
New Functions for Processing Lists
Tally tally identical elements with their multiplicities
BinCounts, BinLists give counts and lists of elements that lie in bins
Accumulate, Differences successive sums and differences in lists
Commonest find the commonest elements in a list
New Functions for Rearranging & Modifying Lists
SortBy sort a list by values of a function
Riffle interleave elements into a list
ReplacePart (modified) now supports general sparse rule specification
RandomSample randomly rearrange a list
Permutations (modified) now supports selecting any number of elements
New Functions for Multidimensional Arrays
ArrayFlatten flatten subarrays in any dimension
Flatten (modified) new forms of multilevel flattening
Join (modified) join arrays at any level
PadLeft, PadRight (modified) extended to automatically form full arrays
Reverse (modified) extended to arbitrary levels
Diagonal extract the diagonal elements in a matrix
New List-Oriented Functional Programming
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