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Doubling Places
Ann Arbor – Helsinki – Reykjavík
Friday, February 23, 2007
Getting tea
I think the happiest one can possibly be is while stepping out of the west doors of the math department and feeling the warm sunlight on your face and hopping down the stairs and down to Espresso Royale to get a mug of China Gray.
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Mathematician, dancer, teacher, artist, creator. I am where logic and emotion meet.
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Definition
A metric space is
doubling
if every ball of radius
r
can be covered with at most
N
balls of radius
r/2
where
N
is a universal constant.
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