
03-July-2009, 07:50 PM
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Order of Kilopi
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Join Date: Apr 2006
Location: Bowie, MD
Posts: 3,651
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You CAN define 1/0, but you have to give up other nice things to do so. Consider, for example, the Riemann Sphere, which is made out of the complex plane an an additional point called "infinity" (so with the right definition of distance (not the usual Euclidean distance of complex numbers), so infinity is a "finite" distance from 0 (!!!) it is metrically equivalent to a sphere) so that functions of the form (az+b)/(cz+d) (Mobius functions), for ad-bc != 0, are defined everywhere on the sphere. You are unable to compute some things, though, like infinity - infinity.
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Todd (Bowie, MD, US, North America, Earth, Sol System, Vega region, Local Bubble, Orion arm, Milky Way Galaxy, Local Group, Virgo A Cluster, Virgo supercluster, the universe in which spock is clean shaven)
Quidquid latine dictum sit, altum sonatur.
personal page: http://blog.astrosketches.info
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