Re: Division by Zero in Nature, and Decomposition of Time.
From: Ioannis (morpheus_at_olympus.mons)
Date: 01/23/05
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Date: Sun, 23 Jan 2005 21:53:27 +0200
LEFTY wrote:
[snip]
> I have been trying to understand continuity for years, and wind up with
> something worse,
"Understanding" of continuity can only come from "understanding"
epsilon-delta definitions in Analysis.
> how to construct a smooth transition from 4d to 3d
> mathematically. Maybe algebraic topology ?
> Any ideas on how to do such a thing ? I'm stumped.
I don't see what the problem is. This is trivial mathematically. Here's
a "smooth" transition from 4D to 3D:
f(i,j,k,t)=ai+bj+ck+dt, a,b,c>0, 0<=d<=1
If you trace d towards 0 continuously, when d _reaches_ 0 the fourth
dimension disappears. When this happens, you have constructed what's
called a "canonical projection".
-- I. N. G. --- http://users.forthnet.gr/ath/jgal/
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