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maxPosition -- position of largest element

Synopsis

Usage:
maxPosition x
Inputs:
- x, a basic list
Outputs:
- the position of the largest element in the list x

Description

If the largest element occurs more than once, then the first occurrence is used. If x has length 0 an error results.

i1 : maxPosition {1,6,4,2}

o1 = 1

Notice that the position of the maximal element is 1, as indexing in Macaulay2 always starts at 0.

For elements in a polynomial ring, the order used is the monomial order associated with the ring.

i2 : R = QQ[r,s,x,y,z];

i3 : z^2 + x*y + s*z

                  2
o3 = x*y + s*z + z

o3 : R

i4 : maxPosition {z^2, s*z, x*y}

o4 = 2

i5 : maxPosition(z^2, s*z, x*y)

o5 = 2

See also

minPosition -- position of smallest element
max -- maximum of elements of a list
min -- minimum of elements of a list
sort -- sort a list or columns of a matrix
position -- find first element of a list satisfying a condition

Ways to use `maxPosition` :

maxPosition(BasicList)