Download or read book Prime Numbers Are Contents of Structural Stability written by Patrizia Franceschelli and published by Patrizia Franceschelli. This book was released on 2022-12-20 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book on prime numbers that all enthusiasts and the curious should read! In this book you will embark on an unexpected and engaging journey to discover the true nature of Prime Numbers, from their origins to their evolution. Prime numbers are a special category of numbers that are believed to preserve the fundamental particles of the bi-dimensional world. According to this theory, these particles may have evolved from the formation of strings in the one-dimensional world and persisted in our dimension. Mathematics, physics, psychology: prime numbers succeed in uniting all these disciplines in an unanticipated and profound way. Do we really know everything about the Golden Pi and Fibonacci’s Numbers? Or are there sides of these objects yet to be explored? My task, as the author, will be to take you by the hand and guide you into the depths of prime numbers, in search of their hidden and intrinsic characteristics.

Download or read book Fundamentals of Structural Stability written by George Simitses and published by Butterworth-Heinemann. This book was released on 2006-01-03 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: An understanable introduction to the theory of structural stability, useful for a wide variety of engineering disciplines, including mechanical, civil and aerospace.

Download or read book Structural Stability And Morphogenesis written by Rene Thom and published by CRC Press. This book was released on 2018-03-05 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 2018. Routledge is an imprint of Taylor & Francis, an Informa company.

Download or read book Number Theory and the Periodicity of Matter written by Jan C. A. Boeyens and published by Springer Science & Business Media. This book was released on 2007-12-05 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a fully scientific account of the use of the golden ratio. It explores the observation that stable nucleides obey a number theory based general law. The discovery described in this book could be of seminal significance, also in other fields where the golden ratio is known to be of fundamental importance.

Download or read book Stability of Structures written by Chai H Yoo and published by Elsevier. This book was released on 2011-05-12 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: The current trend of building more streamlined structures has made stability analysis a subject of extreme importance. It is mostly a safety issue because Stability loss could result in an unimaginable catastrophe. Written by two authors with a combined 80 years of professional and academic experience, the objective of Stability of Structures: Principles and Applications is to provide engineers and architects with a firm grasp of the fundamentals and principles that are essential to performing effective stability analysts. Concise and readable, this guide presents stability analysis within the context of elementary nonlinear flexural analysis, providing a strong foundation for incorporating theory into everyday practice. The first chapter introduces the buckling of columns. It begins with the linear elastic theory and proceeds to include the effects of large deformations and inelastic behavior. In Chapter 2 various approximate methods are illustrated along with the fundamentals of energy methods. The chapter concludes by introducing several special topics, some advanced, that are useful in understanding the physical resistance mechanisms and consistent and rigorous mathematical analysis. Chapters 3 and 4 cover buckling of beam-columns. Chapter 5 presents torsion in structures in some detail, which is one of the least well understood subjects in the entire spectrum of structural mechanics. Strictly speaking, torsion itself does not belong to a topic in structural stability, but needs to be covered to some extent for a better understanding of buckling accompanied with torsional behavior. Chapters 6 and 7 consider stability of framed structures in conjunction with torsional behavior of structures. Chapters 8 to 10 consider buckling of plate elements, cylindrical shells, and general shells. Although the book is primarily devoted to analysis, rudimentary design aspects are discussed. Balanced presentation for both theory and practice Well-blended contents covering elementary to advanced topics Detailed presentation of the development

Download or read book Nanobrain written by Anirban Bandyopadhyay and published by CRC Press. This book was released on 2020-04-03 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making an artificial brain is not a part of artificial intelligence. It will be a revolutionary journey of mankind exploring a science where one cannot write an equation, a material will vibrate like geometric shape, and then those shapes will change to make decisions. Geometry of silence plays like a musical instrument to mimic a human brain; our thoughts, imagination, everything would be a 3D shape playing as music; composing music would be the brain’s singular job. For a century, the Turing machine ruled human civilization; it was believed that irrespective of complexity all events add up linearly. This book is a thesis to explore the science of decision-making where events are 3D-geometric shapes, events grow within and above, never side by side. ​ The book documents inventions and discoveries in neuroscience, computer science, materials science, mathematics and chemistry that explore the possibility of brain or universe as a time crystal. The philosophy of Turing, the philosophy of membrane-based neuroscience and the philosophy of linear, sequential thought process are challenged here by considering that a nested time crystal encompasses the entire conscious universe. Instead of an algorithm, the pattern of maximum free will is generated mathematically and that very pattern is encoded in materials such that its natural vibration integrates random events exactly similar to the way nature does it in every remote corner of our universe. Find how an artificial brain avoids any necessity for algorithm or programming using the pattern of free will.

Download or read book Prime Numbers written by Richard Crandall and published by Springer Science & Business Media. This book was released on 2006-04-07 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bridges the gap between theoretical and computational aspects of prime numbers Exercise sections are a goldmine of interesting examples, pointers to the literature and potential research projects Authors are well-known and highly-regarded in the field

Download or read book Structural Stability Theory and Practice written by Sukhvarsh Jerath and published by John Wiley & Sons. This book was released on 2020-12-30 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover the theory of structural stability and its applications in crucial areas in engineering Structural Stability Theory and Practice: Buckling of Columns, Beams, Plates, and Shells combines necessary information on structural stability into a single, comprehensive resource suitable for practicing engineers and students alike. Written in both US and SI units, this invaluable guide is perfect for readers within and outside of the US. Structural Stability Theory and Practice: Buckling of Columns, Beams, Plates, and Shell offers: Detailed and patiently developed mathematical derivations and thorough explanations Energy methods that are incorporated throughout the chapters Connections between theory, design specifications and solutions The latest codes and standards from the American Institute of Steel Construction (AISC), Canadian Standards Association (CSA), Australian Standards (SAA), Structural Stability Research Council (SSRC), and Eurocode 3 Solved and unsolved practice-oriented problems in every chapter, with a solutions manual for unsolved problems included for instructors Ideal for practicing professionals in civil, mechanical, and aerospace engineering, as well as upper-level undergraduates and graduate students in structural engineering courses, Structural Stability Theory and Practice: Buckling of Columns, Beams, Plates, and Shell provides readers with detailed mathematical derivations along with thorough explanations and practical examples.

Download or read book Structural Stability of Steel written by Theodore V. Galambos and published by John Wiley & Sons. This book was released on 2008-04-18 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical guide to structural stability theory for the design of safe steel structures Not only does this book provide readers with a solid foundation in structural stability theory, it also offers them a practical, working knowledge of how this theory translates into design specifications for safe steel structures. Structural Stability of Steel features detailed discussions of the elastic and inelastic stability of steel columns, beams, beam-columns, and frames alongside numerous worked examples. For each type of structural member or system, the authors set forth recommended design rules with clear explanations of how they were derived. Following an introduction to the principles of stability theory, the book covers: * Stability of axially loaded planar elastic systems * Tangent-modulus, reduced-modulus, and maximum strength theories * Elastic and inelastic stability limits of planar beam-columns * Elastic and inelastic instability of planar frames * Out-of-plane, lateral-torsional buckling of beams, columns, and beam-columns The final two chapters focus on the application of stability theory to the practical design of steel structures, with special emphasis on examples based on the 2005 Specification for Structural Steel Buildings of the American Institute of Steel Construction. Problem sets at the end of each chapter enable readers to put their newfound knowledge into practice by solving actual instability problems. With its clear logical progression from theory to design implementation, this book is an ideal textbook for upper-level undergraduates and graduate students in structural engineering. Practicing engineers should also turn to this book for expert assistance in investigating and solving a myriad of stability problems.

Download or read book Structure and Randomness written by Terence Tao and published by American Mathematical Soc.. This book was released on with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In 2007, Terry Tao began a mathematical blog, as an outgrowth of his own website at UCLA. This book is based on a selection of articles from the first year of that blog. These articles discuss a wide range of mathematics and its applications, ranging from expository articles on quantum mechanics, Einstein's equation E = mc[superscript 2], or compressed sensing, to open problems in analysis, combinatorics, geometry, number theory, and algebra, to lecture series on random matrices, Fourier analysis, or the dichotomy between structure and randomness that is present in many subfields of mathematics, to more philosophical discussions on such topics as the interplay between finitary and infinitary in analysis. Some selected commentary from readers of the blog has also been included at the end of each article.

Download or read book Guide to Stability Design Criteria for Metal Structures written by Ronald D. Ziemian and published by John Wiley & Sons. This book was released on 2010-02-08 with total page 1120 pages. Available in PDF, EPUB and Kindle. Book excerpt: The definitive guide to stability design criteria, fully updated and incorporating current research Representing nearly fifty years of cooperation between Wiley and the Structural Stability Research Council, the Guide to Stability Design Criteria for Metal Structures is often described as an invaluable reference for practicing structural engineers and researchers. For generations of engineers and architects, the Guide has served as the definitive work on designing steel and aluminum structures for stability. Under the editorship of Ronald Ziemian and written by SSRC task group members who are leading experts in structural stability theory and research, this Sixth Edition brings this foundational work in line with current practice and research. The Sixth Edition incorporates a decade of progress in the field since the previous edition, with new features including: Updated chapters on beams, beam-columns, bracing, plates, box girders, and curved girders. Significantly revised chapters on columns, plates, composite columns and structural systems, frame stability, and arches Fully rewritten chapters on thin-walled (cold-formed) metal structural members, stability under seismic loading, and stability analysis by finite element methods State-of-the-art coverage of many topics such as shear walls, concrete filled tubes, direct strength member design method, behavior of arches, direct analysis method, structural integrity and disproportionate collapse resistance, and inelastic seismic performance and design recommendations for various moment-resistant and braced steel frames Complete with over 350 illustrations, plus references and technical memoranda, the Guide to Stability Design Criteria for Metal Structures, Sixth Edition offers detailed guidance and background on design specifications, codes, and standards worldwide.

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1986 with total page 1108 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Fractal Geometry and Applications A Jubilee of Benoit Mandelbrot written by Michel Laurent Lapidus and published by American Mathematical Soc.. This book was released on 2004 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers an excellent selection of cutting-edge articles about fractal geometry, covering the great breadth of mathematics and related areas touched by this subject. Included are rich survey articles and fine expository papers. The high-quality contributions to the volume by well-known researchers--including two articles by Mandelbrot--provide a solid cross-section of recent research representing the richness and variety of contemporary advances in and around fractal geometry. In demonstrating the vitality and diversity of the field, this book will motivate further investigation into the many open problems and inspire future research directions. It is suitable for graduate students and researchers interested in fractal geometry and its applications. This is a two-part volume. Part 1 covers analysis, number theory, and dynamical systems; Part 2, multifractals, probability and statistical mechanics, and applications.

Download or read book Theories of Geographic Concepts written by Marinos Kavouras and published by CRC Press. This book was released on 2007-12-20 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most widely available approaches to semantic integration provide ad-hoc, non-systematic, subjective manual mappings that lead to procrustean amalgamations to fit the target standard, an outcome that pleases no one. Written by experts in the field, Theories of Geographic Concepts: Ontological Approaches to Semantic Integration emphasizes the

Download or read book Spectral Problems in Geometry and Arithmetic written by Thomas Branson and published by American Mathematical Soc.. This book was released on 1999 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: These are the proceedings of the NSF-CBMS Conference on "Spectral Problems in Geometry and Arithmetic" held at the University of Iowa. The principal speaker was Peter Sarnak, who has been a central contributor to developments in this field. The volume approaches the topic from the geometric, physical, and number theoretic points of view. The remarkable new connections among seemingly disparate mathematical and scientific disciplines have surprised even veterans of the physical mathematics renaissance forged by gauge theory in the 1970s. Numerical experiments show that the local spacing between zeros of the Riemann zeta function is modelled by spectral phenomena: the eigenvalue distributions of random matrix theory, in particular the Gaussian unitary ensemble (GUE). Related phenomena are from the point of view of differential geometry and global harmonic analysis. Elliptic operators on manifolds have (through zeta function regularization) functional determinants, which are related to functional integrals in quantum theory. The search for critical points of this determinant brings about extremely subtle and delicate sharp inequalities of exponential type. This indicates that zeta functions are spectral objects-and even physical objects. This volume demonstrates that zeta functions are also dynamic, chaotic, and more.

Download or read book Stability Theory and Its Applications to Structural Mechanics written by Clive L. Dym and published by Courier Dover Publications. This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: An integration of modern work in structural stability theory, this volume focuses on the Koiter postbuckling analyses, with mathematical notions of stability of motion. In relation to discrete and continuous systems, it bases the minimum energy principles for static stability upon the dynamic concepts of stability of motion. It further develops the asymptotic buckling and postbuckling analyses from potential energy considerations, with applications to columns, plates, and arches.

Download or read book Mechanics Today written by S. Nemat-Nasser and published by Elsevier. This book was released on 2013-10-22 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanics Today: Volume 1 is a collection of articles from researchers in the field of applied mechanics. The articles contained in this volume provide the fundamental, analytical and experimental results (where applicable) aspects of the subject matter being discussed. The book has chapters focusing on the dynamic effects in brittle fracture; qualitative theory of the ordinary differential equations of nonlinear elasticity; general variational principles for nonlinear, incremental, and linear elasticity; and the theory of viscometric flow. Physicists, engineers, metallurgists, materials scientists, and students of materials science and applied physics will find this text a good source of information.