[EM] Euclidean distance typo
MIKE OSSIPOFF
nkklrp at hotmail.com
Thu Apr 7 18:10:35 PDT 2005
I'd said:
When you've gone some distance away from P, continuing in the same direction
away from P, the cosine of the angle between the line on which you're moving
and the ring toward which you're moving greater than the cosine of the angle
between the line on which you're moving and the ring away from which you're
moving. That's because though both rings have the same radius, but you're
closer to the one toward which you're moving.
I comment:
I meant to say that the angle between the line on which you're moving and
the ring toward which you're moving is greater than the angel between the
line on which you're moving and the ring from which you're moving. And so
the consine of the former angle is less than the cosine of the latter angle.
So you're moving away from one riing faster than you're moving toward the
other. So, with the same number of voters on each ring, you're increasing
your summed distance from the voters on those 2 rings.
That's true of any two identical rings about those two points, and it's true
of any spherical shell about P.
Mike Ossipoff
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