(1, 0, 0) and (10, 0, 0) have very large distance in R^3, but 0 when
projected onto
the a patch near the north pole of S^4, while other pairs of vectors may
have
(nearly) unchanged distances.

Am I misunderstanding what the question was?

On Thu, Jul 21, 2011 at 9:43 PM, Ted Dunning <[email protected]> wrote:

> Embed onto a very small part of S^4
>
> On Thu, Jul 21, 2011 at 9:14 PM, Jake Mannix <[email protected]>
> wrote:
>
> > Think about it in 3-dimensions, how can this work?
> >
>

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