measures

From: Anton Sherwood (dasher@netcom.com)
Date: Tue Nov 18 1997 - 22:15:14 MST


Carl Feynman writes
: There's a branch of geometry called 'measure theory' that gives us
: tools to think about this kind of problem. ... A measure is a
: function mapping chunks of a space to numbers, having these properties:
:
: 1. The measure of the union of a finite number of non-overlapping chunks
: is the sum of their measures.
: 2. The measure of the intersection of two chunks is less than or equal to
: the larger of their measures.

not the smaller?

: 3. The measure of any chunk is zero or a positive number.
:
        [...]
: PS. I think I've got those axioms right; it's been a few years, and I
: didn't bother looking them up...



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