I think it means "goldenhaired", but I don't understand the application. On Mon, Jun 12, 2017 at 8:03 PM, James Propp <jamespropp@gmail.com> wrote:
My Latin skills aren't up to the task of decoding Dan's coinage. (I did a Google search, but got "Your search - *auropileous definition* - did not match any documents" for my pains.) Anyone care to parse this for me?
Thanks,
Jim
On Mon, Jun 12, 2017 at 6:08 PM, Dan Asimov <dasimov@earthlink.net> wrote:
This may be trivial, hard, or auropileous; I'm not sure:
Suppose we are given a finite subset X of R^n such that
* The dot product of any two vectors between points of X is an integer.
(I.e., for all x,y,z,w in X, the real number
<x-y, z-w>
lies in Z.)
Question: --------- Does it follow that for any sufficiently high dimension d, there is a subset X' of the integer lattice Z^d such that X' is congruent to X ???
—Dan
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