Extended Array Operations: New in Mathematica 6

Extended Array Operations

The Mathematica language has always been exceptionally convenient and efficient in its handling of arrays. Mathematica 6 adds a collection of powerful new array operations. Some generalize Mathematica's elegant mechanisms for handling multidimensional arrays, while others use Mathematica's unique architecture to allow symbolic pattern specifications for array indices.

New compact ;; (Span) notation for specifying general index ranges.
Band for constructing banded arrays from symbolic descriptions.
Symbolic indices and patterns in ReplacePart.
Generalized flattening and joining operations for subarrays in any number of dimensions. »
Pattern language generalized to allow sequence patterns and select longest matches. »
List-oriented LengthWhile and TakeWhile functional programming.


Flatten Nested Arrays	Conveniently Specify General Banded Matrices	Specify Higher-Dimensional Banded Structures

Use Concise Notation for Linear Algebra	Conveniently Replace Elements in Arrays	Join Arrays at Any Level

Related Functions

Span

Band

ReplacePart

ArrayFlatten

Flatten

Join

Reverse

LengthWhile

TakeWhile

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