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Golden Matrices
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Download or read book Golden Matrices written by R. Gupta and published by Firewall Media. This book was released on 2006 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematics Of Harmony: From Euclid To Contemporary Mathematics And Computer Science by : Alexey Stakhov
Download or read book Mathematics Of Harmony: From Euclid To Contemporary Mathematics And Computer Science written by Alexey Stakhov and published by World Scientific. This book was released on 2009-09-11 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assisted by Scott Olsen (Central Florida Community College, USA) This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the “Mathematics of Harmony,” a new interdisciplinary direction of modern science. This direction has its origins in “The Elements” of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the “golden” algebraic equations, the generalized Binet formulas, Fibonacci and “golden” matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and “golden” matrices).The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science.
Book Synopsis The Mathematics of Harmony by : Alekse? Petrovich Stakhov
Download or read book The Mathematics of Harmony written by Alekse? Petrovich Stakhov and published by World Scientific. This book was released on 2009 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assisted by Scott Olsen (Central Florida Community College, USA) This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the ?Mathematics of Harmony,? a new interdisciplinary direction of modern science. This direction has its origins in ?The Elements? of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the ?golden? algebraic equations, the generalized Binet formulas, Fibonacci and ?golden? matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and ?golden? matrices).The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science.
Book Synopsis Modeling Decisions for Artificial Intelligence by : Yasuo Narukawa
Download or read book Modeling Decisions for Artificial Intelligence written by Yasuo Narukawa and published by Springer. This book was released on 2007-08-21 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Decision modeling is a key area in the developing field of AI, and this timely work connects researchers and professionals with the very latest research. It constitutes the refereed proceedings of the 4th International Conference on Modeling Decisions for Artificial Intelligence, held in Kitakyushu, Japan, in August 2007. The 42 revised full papers presented together with 4 invited lectures are devoted to theory and tools, as well as applications.
Book Synopsis Advances in Artificial Systems for Medicine and Education II by : Zhengbing Hu
Download or read book Advances in Artificial Systems for Medicine and Education II written by Zhengbing Hu and published by Springer. This book was released on 2019-05-16 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes the proceedings of the Second International Conference of Artificial Intelligence, Medical Engineering, Education (AIMEE2018), held in Moscow, Russia, on 6–8 October 2018. The conference covered advances in the development of artificial intelligence systems and their applications in various fields, from medicine and technology to education. The papers presented in the book discuss topics in mathematics and biomathematics; medical approaches; and technological and educational approaches. Given the rapid development of artificial intelligence systems, the book highlights the need for more intensive training for a growing number of specialists, particularly in medical engineering, to increase the effectiveness of medical diagnosis and treatment. The book is intended for specialists, students and other readers who would like to know where artificial intelligence systems can beneficially be applied in the future.
Book Synopsis Advances In Bioinformatics And Its Applications - Proceedings Of The International Conference by : Matthew He
Download or read book Advances In Bioinformatics And Its Applications - Proceedings Of The International Conference written by Matthew He and published by World Scientific. This book was released on 2005-05-03 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique volume presents major developments and trends in bioinformatics and its applications. Comprising high-quality scientific research papers and state-of-the-art survey articles, the book has been divided into five main sections: Microarray Analysis and Regulatory Networks; Machine Learning and Statistical Analysis; Biomolecular Sequence and Structure Analysis; Symmetry in Sequences; and Signal Processing, Image Processing and Visualization. The results of these investigations help the practicing biologist in many ways: in identifying unknown connections, in narrowing down possibilities for a search, in suggesting new hypotheses, designing new experiments, validating existing models or proposing new ones. It is an essential source of reference for researchers and graduate students in bioinformatics, computer science, mathematics, statistics, and biological sciences based on select papers from the “The International Conference on Bioinformatics and Its Application” (ICBA), held December 16-19, 2004 in Fort Lauderdale, Florida, USA.
Book Synopsis Symmetrical Analysis Techniques for Genetic Systems and Bioinformatics: Advanced Patterns and Applications by : Petoukhov, Sergey
Download or read book Symmetrical Analysis Techniques for Genetic Systems and Bioinformatics: Advanced Patterns and Applications written by Petoukhov, Sergey and published by IGI Global. This book was released on 2009-10-31 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book compiles studies that demonstrate effective approaches to the structural analysis of genetic systems and bioinformatics"--Provided by publisher.
Book Synopsis Mathematics of Bioinformatics by : Matthew He
Download or read book Mathematics of Bioinformatics written by Matthew He and published by John Wiley & Sons. This book was released on 2011-03-16 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Bioinformatics: Theory, Methods, and Applications provides a comprehensive format for connecting and integrating information derived from mathematical methods and applying it to the understanding of biological sequences, structures, and networks. Each chapter is divided into a number of sections based on the bioinformatics topics and related mathematical theory and methods. Each topic of the section is comprised of the following three parts: an introduction to the biological problems in bioinformatics; a presentation of relevant topics of mathematical theory and methods to the bioinformatics problems introduced in the first part; an integrative overview that draws the connections and interfaces between bioinformatics problems/issues and mathematical theory/methods/applications.
Book Synopsis Algebraic Biology, Matrix Genetics, And Genetic Intelligence by : Sergei V Petoukhov
Download or read book Algebraic Biology, Matrix Genetics, And Genetic Intelligence written by Sergei V Petoukhov and published by World Scientific. This book was released on 2023-08-02 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historically, mathematics, probability, and statistics have been widely used in the biological sciences. Recent progress in genomics has yielded many millions of gene sequences. But what do these sequences tell us and what are the generalities and rules governed by them? It seems that we understand very little about the genetic contexts required to 'read' them. There is more to life than the genomic blueprint of each organism. Life functions within the natural laws that we know and the ones we do not know. The development of modern mathematical natural sciences is based on the use of certain mathematical tools. Mathematics can be used to understand life from the molecular to the biosphere level.This book provides the foundation and latest advances for an emerging research area that uses tools from symbolic computation, computer algebra and logic, algebraic geometry, fractal geometry, probability and statistics, and matrix algebra to formalize and solve biological problems and explore its applications in algebraic biology and code biology. It introduces highly interdisciplinary topics in biomathematics such as matrix genetics, gestalt biology, bio-antenna arrays, resonance genetics, quantum biology, and more.
Book Synopsis Complex Symmetries by : György Darvas
Download or read book Complex Symmetries written by György Darvas and published by Springer Nature. This book was released on 2022-01-01 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of essays on complex symmetries. It is curated, emphasizing the analysis of the symmetries, not the various phenomena that display those symmetries themselves. With this, the volume provides insight to nonspecialist readers into how individual simple symmetries constitute complex symmetry. The authors and the topics cover many different disciplines in various sciences and arts. Simple symmetries, such as reflection, rotation, translation, similitude, and a few other simple manifestations of the phenomenon, are all around, and we are aware of them in our everyday lives. However, there are myriads of complex symmetries (composed of a bulk of simple symmetries) as well. For example, the well-known helix represents the combination of translational and rotational symmetry. Nature produces a great variety of such complex symmetries. So do the arts. The contributions in this volume analyse selected examples (not limited to geometric symmetries). These include physical symmetries, functional (meaning not morphological) symmetries, such as symmetries in the construction of the genetic code, symmetries in human perception (e.g., in geometry education as well as in constructing physical theories), symmetries in fractal structures and structural morphology, including quasicrystal and fullerene structures in stable bindings and their applications in crystallography and architectural design, as well as color symmetries in the arts. The volume is rounded of with beautiful illustrations and presents a fascinating panorama of this interdisciplinary topic.
Book Synopsis Matrix Analysis by : Rajendra Bhatia
Download or read book Matrix Analysis written by Rajendra Bhatia and published by Springer Science & Business Media. This book was released on 1996-11-15 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a substantial part of matrix analysis that is functional analytic in spirit. Topics covered include the theory of majorization, variational principles for eigenvalues, operator monotone and convex functions, and perturbation of matrix functions and matrix inequalities. The book offers several powerful methods and techniques of wide applicability, and it discusses connections with other areas of mathematics.
Download or read book Hypersymmetry written by György Darvas and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-12-16 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book describes how field-charges, split into isotopic pairs, can commute and identifies the group of transformations that governs this exchange between their states. Invariance under this group is defined as Hypersymmetry. The book develops the physical consequences of Hypersymmetry such as conserved property, quanta and mediating bosons of the interaction field. Since all this expands beyond the standard model, the work determines the energy limits of the applicability of Hypersymmetry and discusses, how to remove the unwanted mass of the predicted set of bosons. Finally, it presents how the model can be applied in the four fundamental interactions. • Comprehensive work covering recent research. • Detailed calculations for a step by step understanding. • Useful reading for master students and researchers in theoretical and experimental physics. • A practical textbook for courses on the physics of the isotopic field-charges, their conservation and interactions.
Book Synopsis Advances in Artificial Systems for Medicine and Education by : Zhengbing Hu
Download or read book Advances in Artificial Systems for Medicine and Education written by Zhengbing Hu and published by Springer. This book was released on 2017-08-19 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an overview of the latest artificial intelligence systems and methods, which have a broad spectrum of effective and sometimes unexpected applications in medical, educational and other fields of sciences and technology. In digital artificial intelligence systems, scientists endeavor to reproduce the innate intellectual abilities of human and other organisms, and the in-depth study of genetic systems and inherited biological processes can provide new approaches to create more and more effective artificial intelligence methods. The book focuses on the intensive development of bio-mathematical studies on living organism patents, which ensure the noise immunity of genetic information, its quasi-holographic features, and its connection with the Boolean algebra of logic used in technical artificial intelligence systems. In other words, the study of genetic systems and creation of methods of artificial intelligence go hand in hand, mutually enriching enrich each other. These proceedings comprise refereed papers presented at the 1st International Conference of Artificial Intelligence, Medical Engineering, and Education (AIMEE2017), held at the Mechanical Engineering Institute of the Russian Academy of Sciences, Moscow, Russia on 21–23 August 2017. The topics discussed include advances in thematic mathematics and bio-mathematics; advances in thematica medical approaches; and advances in thematic technological and educational approaches. The book is a compilation of state-of-the-art papers in the field, covering a comprehensive range of subjects that are relevant to business managers and engineering professionals alike. The breadth and depth of these proceedings make them an excellent resource for asset management practitioners, researchers and academics, as well as undergraduate and postgraduate students interested in artificial intelligence and bioinformatics systems as well as their growing applications
Book Synopsis Discrete Mathematics with Proof by : Eric Gossett
Download or read book Discrete Mathematics with Proof written by Eric Gossett and published by John Wiley & Sons. This book was released on 2009-06-22 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Trusted Guide to Discrete Mathematics with Proof?Now in a Newly Revised Edition Discrete mathematics has become increasingly popular in recent years due to its growing applications in the field of computer science. Discrete Mathematics with Proof, Second Edition continues to facilitate an up-to-date understanding of this important topic, exposing readers to a wide range of modern and technological applications. The book begins with an introductory chapter that provides an accessible explanation of discrete mathematics. Subsequent chapters explore additional related topics including counting, finite probability theory, recursion, formal models in computer science, graph theory, trees, the concepts of functions, and relations. Additional features of the Second Edition include: An intense focus on the formal settings of proofs and their techniques, such as constructive proofs, proof by contradiction, and combinatorial proofs New sections on applications of elementary number theory, multidimensional induction, counting tulips, and the binomial distribution Important examples from the field of computer science presented as applications including the Halting problem, Shannon's mathematical model of information, regular expressions, XML, and Normal Forms in relational databases Numerous examples that are not often found in books on discrete mathematics including the deferred acceptance algorithm, the Boyer-Moore algorithm for pattern matching, Sierpinski curves, adaptive quadrature, the Josephus problem, and the five-color theorem Extensive appendices that outline supplemental material on analyzing claims and writing mathematics, along with solutions to selected chapter exercises Combinatorics receives a full chapter treatment that extends beyond the combinations and permutations material by delving into non-standard topics such as Latin squares, finite projective planes, balanced incomplete block designs, coding theory, partitions, occupancy problems, Stirling numbers, Ramsey numbers, and systems of distinct representatives. A related Web site features animations and visualizations of combinatorial proofs that assist readers with comprehension. In addition, approximately 500 examples and over 2,800 exercises are presented throughout the book to motivate ideas and illustrate the proofs and conclusions of theorems. Assuming only a basic background in calculus, Discrete Mathematics with Proof, Second Edition is an excellent book for mathematics and computer science courses at the undergraduate level. It is also a valuable resource for professionals in various technical fields who would like an introduction to discrete mathematics.
Book Synopsis The Mathematics of Harmony by : Alexey Stakhov
Download or read book The Mathematics of Harmony written by Alexey Stakhov and published by World Scientific. This book was released on 2009 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assisted by Scott Olsen ( Central Florida Community College, USA ). This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the OC Mathematics of Harmony, OCO a new interdisciplinary direction of modern science. This direction has its origins in OC The ElementsOCO of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the OC goldenOCO algebraic equations, the generalized Binet formulas, Fibonacci and OC goldenOCO matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and OC goldenOCO matrices). The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science. Sample Chapter(s). Introduction (503k). Chapter 1: The Golden Section (2,459k). Contents: Classical Golden Mean, Fibonacci Numbers, and Platonic Solids: The Golden Section; Fibonacci and Lucas Numbers; Regular Polyhedrons; Mathematics of Harmony: Generalizations of Fibonacci Numbers and the Golden Mean; Hyperbolic Fibonacci and Lucas Functions; Fibonacci and Golden Matrices; Application in Computer Science: Algorithmic Measurement Theory; Fibonacci Computers; Codes of the Golden Proportion; Ternary Mirror-Symmetrical Arithmetic; A New Coding Theory Based on a Matrix Approach. Readership: Researchers, teachers and students in mathematics (especially those interested in the Golden Section and Fibonacci numbers), theoretical physics and computer science."
Book Synopsis A trunk of dreams by : Gaetano Callocchia
Download or read book A trunk of dreams written by Gaetano Callocchia and published by editrice velar. This book was released on 2022-05-11 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: The protagonist is Domenico, the young Abruzzese who at the beginning of the 1900s leaves his native town (Aielli in the heart of the Marsica) to go to work, like many other Italians, abroad and whom we met in the previous novel "Mathematical Intrigue in Buffalo". His great "passion", formulas and mathematical relationships, which had already aroused the wonder of the architect Wright, make the famous architect want him with him for the construction of two new buildings that he was commissioned to design. But Domenico is tied to his Erminia, the beautiful girl with whom he is always in love, and who has remained in the village waiting for him. Conflicts with himself: Wright's proposal is tempting; in addition to guaranteeing him years of work, he recognizes the man's ability and makes him feel proud of his image, of what he has managed to build even if with little education. What to do? The choice is difficult. The choice is to give a setting to one's life, to one's future. What will prevail? Love for her Erminia and her family or satisfy her personal pride, income, work? Determined, resolute, convinced, he chooses after having meditated and considered everything possible, sure that the choice made is for his own good. Translated by Francesco Canizzi
Download or read book Congressus Numerantium written by and published by . This book was released on 2008 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: