Let 
. Let 
with distinc 
s. Let 
be a set of distinct nonnegative row-powers. Consider the 
Generalized Vandermonde matrix 
. When 
, this matrix becomes the ordinary Vandermonde matrix, 
.
An equivalent description of 
is the largest row-power 
and the set of missing rows from 
: that is, the items that are in but not in . Let 
be this set. Define the punctured Generalized Vandermonde matrix 
. Let 
be the 
th elementary symmetric polynomial.
Now we are ready to present some interesting results without proof, from the paper “Lower bound on Sequence Complexity” by Kolokotronis, Limniotis, and Kalouptsidis.
I will add some applications later on.
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