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-- Status: rewritten July 2018
-- Author: Lily Silverstein
doc///
Key
flatten
(flatten, VisibleList)
(flatten, Matrix)
Headline
flatten a nested list or a matrix
Usage
flatten x
Inputs
x:List
or @TO Matrix@
Outputs
:List
or matrix obtained by removing braces one level in
Description
Text
If {\tt x} is a list, then {\tt flatten x} effectively removes
the braces surrounding any elements of {\tt x} that happen to
be lists.
Example
flatten {{2,3,4}, {{5}, 6}, 7}
Text
If {\tt x} is a matrix, then {\tt flatten x} puts the elements of {\tt x} in a
single row, {\em ordered by column}.
If {\tt x} is an $m\times n$ matrix, then {\tt flatten x} is a $1\times mn$ matrix.
Example
R = ZZ/101[a,b,c];
m = matrix {{2, a},{b^2, 23},{c, c^3}}
flatten m
Caveat
The matrix produced by {\tt flatten m} is {\em not} the same as the
matrix given by unnesting the list used to define the matrix.
SeeAlso
deepSplice
splice
"lists and sequences"
///
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