Download E-books Maximum Entropy, Information Without Probability and Complex Fractals: Classical and Quantum Approach (Fundamental Theories of Physics) PDF
By Guy Jumarie
Each proposal is a throw of cube. Stephane Mallarme This e-book is the final one in all a trilogy which reviews part of our study paintings over approximately thirty years (we discard our non-conventional ends up in automated regulate concept and functions at the one hand, and fuzzy units at the other), and its major keyword phrases are details thought, Entropy, greatest Entropy precept, Linguistics, Thermodynamics, Quantum Mechanics, Fractals, Fractional Brownian movement, Stochastic Differential Equations of Order n, Stochastic optimum regulate, desktop imaginative and prescient. Our obsession has been constantly an analogous: Shannon's details concept should still play a easy function within the foundations of sciences, yet topic to the that or not it's certainly generalized to permit us to accommodate difficulties which aren't unavoidably concerning communique engineering. With this aim in brain, questions are of extreme value: (i) How do we introduce that means or value of knowledge in Shannon's details conception? (ii) How do we outline and/or degree the volume of knowledge considering a sort or a trend with no utilizing a probabilistic scheme? it really is compulsory to discover appropriate solutions to those difficulties if we wish to observe Shannon's idea to technology with a few likelihood of luck. for example, its use in biology has been very disappointing, for the very cause that the that means of knowledge is there of simple significance, and isn't taken with this procedure.