# Re: How can this be true ? (quantum mechanics)

ca314159@bestweb.net
Fri, 9 Jul 1999 15:40:59 +0200 (MET DST)

In article <3780CBD8.157B@bestweb.net>,
ca314159 <ca314159@bestweb.net> wrote:
> http://www.undergrad.math.uwaterloo.ca/~dtakacs/images/BeTrue.gif
>

This is a nice elegant example (aphorism) of non-commutivity,
Heisenberg's uncertainty principle, Cauchy-Schwartz/triangle inequality,
and Kosko's fuzzy subsethood.

In terms of the hypotenuses of the two triangles:
sqrt(5^2) < sqrt(2^2+5^2) + sqrt(3^2+8^2)
sqrt(194) < sqrt(29) + sqrt(73)

(the sum of the hypotenuses is greater than the hypotenuese of
the sum)

or in terms of the areas under the two transposed triangles:

5 * 3 < 2 * 8

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