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Re: 4 large dimensions

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Posted by Cooper on July 22, 19101 at 16:58:49:

In Reply to: 4 large dimensions posted by Cooper on July 20, 19101 at 14:21:14:

Trying to calculate the "volume" and the "area" of the B^N ball, N>3. All I know is that what characterizing the N-ball is, (x1)^2+(x2)^2+...+(xN)^2 =< 1, where the equality sign lables the (N-1)-sphere. Well, the problem lies in finding the volume since the area is then easily calculated but I´m getting nowhere with the volume. I guess of mine would be that (among other factors) a factor of pi, or perhaps 2*pi, enters in every second dimension? Any clues or even complete solutions anyone?

/Coop

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