mathematical model of a beautiful mind -
03-30-2006, 12:01 PM
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).
Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
Re: mathematical model of a beautiful mind -
04-14-2007, 06:39 PM
Quote:
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.
Humilty,coupled with boldness,surprises truth to
reveal herself?
Re: mathematical model of a beautiful mind -
04-14-2007, 06:39 PM
Linear Mode
