[<<][math][>>][..]Thu Jul 7 23:28:09 CEST 2011

A nice one to stack next to dual numbers[3] and automatic differentiation. Link from [2], which is quite an interesting post in itself. ``Smooth space-time, say `R^4`, allows only smooth motion and smooth distribution of mass. If we place non-smooth mass in it, the space will change to a _subset_ of `R^4` which carries additional information about the anomalies contained in it.'' I started reading [1][5] and I must say it's quite interesting to reason with non-non-existing entities ;) In the book they are likened to virtual particles: something that's not really present in end results, but useful as a tool in calculations. [1] isbn://0521624010 [2] http://math.andrej.com/2008/08/13/intuitionistic-mathematics-for-physics/ [3] http://en.wikipedia.org/wiki/Dual_numbers [4] http://en.wikipedia.org/wiki/Smooth_infinitesimal_analysis [5] md5://3f3da3bbc8da4d430677acc78cb9c7c3

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