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-- Status: rewritten July 2018
-- Author: Lily Silverstein
doc///
Key
minPosition
(minPosition, BasicList)
Headline
position of the smallest element
Usage
minPosition L
Inputs
L:BasicList
Outputs
i:ZZ
the index of the smallest element in the list {\tt L}
Description
Text
If the smallest element occurs more than once, the index of its first occurrence is used.
Example
minPosition {2, 1, 6, 4, 1}
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];
minPosition {x*y^2, x*y^2 + z^2, y^4, y*z^5}
R2 = QQ[x, y, z, MonomialOrder => GRevLex];
minPosition (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.
SeeAlso
maxPosition
max
min
sort
position
positions
"?"
///
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