existance of solution of a (mathematical) problem
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From: Heinrich Wolf on 17 Nov 2009 06:30 "fisico32" <marcoscipioni1(a)gmail.com> writes: > ... > For sure, there is an actual physical solution occurring for an observed > phenomenon.Why is there not a mathematical solution for it? > Is is the difficulty of the problem or some inherent contradiction/flow in > how the problem was defined mathematically? > Any simple example? Simple on the physical side and famous: the (classical) three body problem; e.g. http://www.scholarpedia.org/article/Three_body_problem May be commmon ways of teaching suggest that a mathematical function is always represented by an analytic expression but that's wrong. -- hw
From: Vladimir Vassilevsky on 17 Nov 2009 13:28
fisico32 wrote: > Hello Forum, > > a question about existence of solution. > > Given a problem, we decide for the best differential equation that would > model the situation, apply initial conditions and boundary conditions. > What would cause the problem to not have a solution? > For sure, there is an actual physical solution occurring for an observed > phenomenon.Why is there not a mathematical solution for it? > Is is the difficulty of the problem or some inherent contradiction/flow in > how the problem was defined mathematically? > Any simple example? There are mathematically ill-behaved problems like a turbulent flow, for example. Google on "attractor", "limit cycle". Vladimir Vassilevsky DSP and Mixed Signal Design Consultant http://www.abvolt.com |