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mathematical model of a beautiful mind
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mkirkpatrick
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04-14-2007, 07:39 PM
Re: mathematical model of a beautiful mind
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Originally Posted by
AntonioLao
This discussion starts by posing the question: can a model of the mind by partial differential equation (PDE) exist? See
http://en.wikipedia.org/wiki/Partial_differential_equation
. If it does not exist, can such a model be formulated? It is believed that such a model indeed exists if and only if the argument of the partial differential function is an irrational number like the number
p
, see
http://mathworld.wolfram.com/Pi.html
. This transcendental irrational number is traditionally defined as the ratio of the circumference of any given circle to its diameter or twice its radius. Its physical reality is equivalent to an angular measurement, representing a straight angle of 180
°
and in linear measurement representing a straight line. Its finiteness (infinitesimal) could be used to denote a quantum of length (Planck length, see
http://en.wikipedia.org/wiki/Planck_length
). Hence, its utility in describing spatial frequency (see
http://en.wikipedia.org/wiki/Spatial_frequency
) is possible if the differential function is also periodic (see
http://mathworld.wolfram.com/PeriodicFunction.html
and
http://en.wikipedia.org/wiki/Periodic_function
).
The mind is the prince of motion,sent out by primal regent to restore chaos to order
so that expressions could expand into complexity,only to be simplfied by perceptive
consciousness?
regards michael.
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