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-- Status: rewritten July 2018
-- Author: Lily Silverstein
doc///
Key
max
(max, VisibleList)
Headline
yields the maximum element in a list or sequence
Usage
max X
Inputs
X: VisibleList
Outputs
m: Thing
Description
Example
X = for i from 1 to 10 list random(100)
max X
Text
If {\tt L} contains elements in a polynomial ring, the @TO MonomialOrder@
of the ring is used for comparisons.
Example
R1 = QQ[x, y, z, MonomialOrder => Lex];
max {x*y^2, x*y^2 + z^2, y^4, y*z^5}
R2 = QQ[x, y, z, MonomialOrder => GRevLex];
max (x*y^2, x*y^2 + z^2, y^4, y*z^5)
Text
More generally, the order of the elements is determined using the @TO "?"@ operator.
If {\tt X} is a list of lists, {\tt max} acts on the outermost level.
Example
max {{3, 1, 2}, {2, 9, 6}, {3, 7, 5}}
max flatten {{3, 1, 2}, {2, 9, 6}, {3, 7, 5}}
SeeAlso
maxPosition
min
sort
"?"
///
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