What is the function of the non-coding 'junk' part that comprises 98% of our DNA? It's all junk right? junk junk junk and more junk on top of the junk...at least according to the scientists? Yeah?? WRONG! The 98% that is not understood is potentially one of the most valuable treasures of all time. It contains computation algorithms and knowledge that have evolved over the last 4 billion years. Fractal Hyper Computation Theory (first published May 20th 2014) provides everything you need to know to decode this 'junk' part of the DNA. So DNA is part of a highly complex bio-computer system. How does it work? To tell you that I would have to give away the secrets in my Fractal Hyper Computer (patent pending) patents. I am *not* going to do that, but what I can do is explain the theory behind this immensely powerful computation system. It is described in my book. Evolution is random right? Wrong again! Fractal Hyper Computation Theory provides the answers why. At least Quantum physics and everything else in the universe is random right? Still wrong! same as above. Evolution, thought, consciousness and matter itself are all different manifestations of the same basic principles. Once you understand Fractal Hyper Computation Theory you will understand why. This leads to the possibility that the universe is a cosmic hyper-net where *everything* is inter-connected. I won't go into the details here, but once you understand my theory you may also understand how and why this is not only possible but in reality quite probable. The language of thought, cosmic hyper-nets, the universal language of life, DNA (the 98% that mainstream science calls 'junk') and the cosmos itself, has finally been decoded. It follows the same rules as human languages. It is described precisely by Fractal Hyper Computation Theory. How's that for a set of predictions?! My theory, described in this book, is a revolutionary new computational theory unlike any other and it shows *how* this is done. It took about three decades to develop and is formulated from the most basic of principles. It is able to 'compute' some of the most intractable problems facing today's computer engineers such as natural language and optimization algorithms. My theory performs hyper computation using a completely new paradigm. In my book, you will find the first ever complete proof showing how natural language is encoded. The proof is in the form of engineering diagrams. Please remember that this proof took over three decades to formulate and involves some mind bending concepts, so understanding it in five minutes may be a stretch. It just so happens that natural language is encoded in what I refer to as relative quaternary fractal encoding, which is eerily similar to DNA. What is RQF encoding? You need to read my book. Thank you for reading. Finally, why is it that when things are not understood, they are either described as 'junk' or 'random'? I have absolutely no idea. Perhaps someone can explain that to me someday. Ohh...and just for clarity, if randomness is an illusion, then doesn't that mean quantum superposition is impossible ergo quantum computers (The cores of which use superposition) can never be built...even if you do take a million billion years for experimentation? The quantum computer, for all its promise, simply vanishes into the eternity of space and time as nothing more than a theoretical artifact and anomaly born from a faulty assumption (probabilistic instead of deterministic). Darn those pesky holes in the theory. In conclusion, it seems quite possible that the standard interpretation of quantum mechanics is *wrong* and that the correct interpretation is closer to the De Broglie-Bohm theory or pilot wave interpretation.

This book presents concisely the full story on complex and hypercomplex fractals, starting from the very first steps in complex dynamics and resulting complex fractal sets, through the generalizations of Julia and Mandelbrot sets on a complex plane and the Holy Grail of the fractal geometry – a 3D Mandelbrot set, and ending with hypercomplex, multicomplex and multihypercomplex fractal sets which are still under consideration of scientists. I tried to write this book in a possibly simple way in order to make it understandable to most people whose math knowledge covers the fundamentals of complex numbers only. Moreover, the book is full of illustrations of generated fractals and stories concerned with great mathematicians, number spaces and related fractals. In the most cases only information required for proper understanding of a nature of a given vector space or a construction of a given fractal set is provided, nevertheless a more advanced reader may treat this book as a fundamental compendium on hypercomplex fractals with references to purely scientific issues like dynamics and stability of hypercomplex systems.

Martin Gardner's Mathematical Games columns in Scientific American inspired and entertained several generations of mathematicians and scientists. Gardner in his crystal-clear prose illuminated corners of mathematics, especially recreational mathematics, that most people had no idea existed. His playful spirit and inquisitive nature invite the reader into an exploration of beautiful mathematical ideas along with him. These columns were both a revelation and a gift when he wrote them; no one--before Gardner--had written about mathematics like this. They continue to be a marvel. This is the original 1992 edition and contains columns published from 1978-1979.

Soft computing is a consortium of computing methodologies that provide a foundation for the conception, design, and deployment of intelligent systems and aims to formalize the human ability to make rational decisions in an environment of uncertainty and imprecision. This book is based on a NATO Advanced Study Institute held in 1996 on soft computing and its applications. The distinguished contributors consider the principal constituents of soft computing, namely fuzzy logic, neurocomputing, genetic computing, and probabilistic reasoning, the relations between them, and their fusion in industrial applications. Two areas emphasized in the book are how to achieve a synergistic combination of the main constituents of soft computing and how the combination can be used to achieve a high Machine Intelligence Quotient.

This book constitutes the refereed proceedings of the International Conference on Computer Vision and Graphic, ICCVG 2016, held in Warsaw, Poland, in September 2016. The 68 full papers presented were carefully reviewed and selected from various submissions. They show various opportunities for valuable research at the border of applied information sciences, agribusiness, veterinary medicine and the broadly understood domains of biology and economy.

This book is based on the authors' research on rendering images of higher dimensional fractals by a distance estimation technique. It is self-contained, giving a careful treatment of both the known techniques and the authors' new methods. The distance estimation technique was originally applied to Julia sets and the Mandelbrot set in the complex plane. It was justified, through the work of Douady and Hubbard, by deep results in complex analysis. In this book the authors generalise the distance estimation to quaternionic and other higher dimensional fractals, including fractals derived from iteration in the Cayley numbers (octonionic fractals). The generalization is justified by new geometric arguments that circumvent the need for complex analysis. This puts on a firm footing the authors' present work and the second author's earlier work with John Hart and Dan Sandin. The results of this book will be of great interest to mathematicians and computer scientists interested in fractals and computer graphics.

This book presents a collection of revised refereed papers selected from the contributions to the Fifth International Workshop on Computer Aided Systems Theory, EUROCAST '95, held in Innsbruck, Austria in May 1995. The 42 full papers contained have been contributed by CAST theoreticians, tool-makers, designers, and appliers and reflect the full spectrum of activities in the area. The papers are organized in sections on systems theory, design environments, complex systems design, and specific applications.

Filled with more than 200 intricate and eye-popping 3D designs, which can be viewed with the accompanying 3D glasses, a rare glimpse into the world of computer-generated fractal art provides background on everything from the classic Mandelbrot set to ethereal fractal flames. Original.

Introduces the mathematical topics of chaos, fractals, and dynamics using a combination of hands-on computer experimentation and precalculas mathmetics. A series of experiments produce fascinating computer graphics images of Julia sets, the Mandelbrot set, and fractals. The basic ideas of dynamics--chaos, iteration, and stability--are illustrated via computer projects.