hadamardPower(List,ZZ) -- computes the $r$-th Hadmard powers of a set points

Synopsis

Function: hadamardPower
Usage:

hadamardPower(L,r)
Inputs:
- L, a list, of (projective) points
- r, an integer, a positive integer $>=1$
Outputs:
- a list,

Description

Give a set of points $L$, the $r$-th Hadamard power of $L$ is $r$-times Hadamard product of L to itself; $( L x\cdots x L)_{r-times}$

i1 : L={point{1,1,1/2},point{1,0,1},point{1,2,4}}

                  1
o1 = {Point{1, 1, -}, Point{1, 0, 1}, Point{1, 2, 4}}
                  2

o1 : List

i2 : hadamardPower(L,3)

                                                   1                  
o2 = {Point{1, 0, 16}, Point{1, 0, 1}, Point{1, 1, -}, Point{1, 0, 2},
                                                   8                  
     ------------------------------------------------------------------------
                 1                                               1
     Point{1, 0, -}, Point{1, 0, 4}, Point{1, 2, 1}, Point{1, 0, -}, Point{1,
                 2                                               4
     ------------------------------------------------------------------------
     8, 64}, Point{1, 4, 8}}

o2 : List