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Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599732270
Total Pages : 224 pages
Book Rating : 4.5/5 (997 download)
Download or read book Quantization and Discretization at Large Scales written by Florentin Smarandache and published by Infinite Study. This book was released on 2012 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pierre-Richard Dahoo
Publisher : John Wiley & Sons
ISBN 13 : 1119808227
Total Pages : 256 pages
Book Rating : 4.1/5 (198 download)
Download or read book Applications and Metrology at Nanometer Scale 1 written by Pierre-Richard Dahoo and published by John Wiley & Sons. This book was released on 2021-01-07 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: To develop innovations in quantum engineering and nanosystems, designers need to adopt the expertise that has been developed in research laboratories. This requires a thorough understanding of the experimental measurement techniques and theoretical models, based on the principles of quantum mechanics. This book presents experimental methods enabling the development and characterization of materials at the nanometer scale, based on practical engineering cases, such as 5G and the interference of polarized light when applied for electromagnetic waves. Using the example of electromechanical, multi-physical coupling in piezoelectric systems, smart materials technology is discussed, with an emphasis on scale reduction and mechanical engineering applications. Statistical analysis methods are presented in terms of their usefulness in systems engineering for experimentation, characterization or design, since safety factors and the most advanced reliability calculation techniques are included from the outset. This book provides valuable support for teachers and researchers but is also intended for engineering students, working engineers and MasterÂs students.
Author : Duncan Taylor
Publisher : CRC Press
ISBN 13 : 1000801381
Total Pages : 583 pages
Book Rating : 4.0/5 (8 download)
Download or read book Forensic DNA Trace Evidence Interpretation written by Duncan Taylor and published by CRC Press. This book was released on 2023-05-30 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: Forensic DNA Trace Evidence Interpretation: Activity Level Propositions and Likelihood Ratios provides all foundational information required for a reader to understand the practice of evaluating forensic biology evidence given activity level propositions and to implement the practice into active casework within a forensic institution. The book begins by explaining basic concepts and foundational theory, pulling together research and studies that have accumulated in forensic journal literature over the last 20 years. The book explains the laws of probability - showing how they can be used to derive, from first principles, the likelihood ratio - used throughout the book to express the strength of evidence for any evaluation. Concepts such as the hierarchy of propositions, the difference between experts working in an investigative or evaluative mode and the practice of case assessment and interpretation are explained to provide the reader with a broad grounding in the topics that are important to understanding evaluation of evidence. Activity level evaluations are discussed in relation to biological material transferred from one object to another, the ability for biological material to persist on an item for a period of time or through an event, the ability to recover the biological material from the object when sampled for forensic testing and the expectations of the prevalence of biological material on objects in our environment. These concepts of transfer, persistence, prevalence and recovery are discussed in detail in addition to the factors that affect each of them. The authors go on to explain the evaluation process: how to structure case information and formulate propositions. This includes how a likelihood ratio formula can be derived to evaluate the forensic findings, introducing Bayesian networks and explaining what they represent and how they can be used in evaluations and showing how evaluation can be tested for robustness. Using these tools, the authors also demonstrate the ways that the methods used in activity level evaluations are applied to questions about body fluids. There are also chapters dedicated to reporting of results and implementation of activity level evaluation in a working forensic laboratory. Throughout the book, four cases are used as examples to demonstrate how to relate the theory to practice and detail how laboratories can integrate and implement activity level evaluation into their active casework.
Author : Martin Bohner
Publisher : Springer Science & Business Media
ISBN 13 : 1461202019
Total Pages : 365 pages
Book Rating : 4.4/5 (612 download)
Download or read book Dynamic Equations on Time Scales written by Martin Bohner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: On becoming familiar with difference equations and their close re lation to differential equations, I was in hopes that the theory of difference equations could be brought completely abreast with that for ordinary differential equations. [HUGH L. TURRITTIN, My Mathematical Expectations, Springer Lecture Notes 312 (page 10), 1973] A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both. [E. T. BELL, Men of Mathematics, Simon and Schuster, New York (page 13/14), 1937] The theory of time scales, which has recently received a lot of attention, was introduced by Stefan Hilger in his PhD thesis [159] in 1988 (supervised by Bernd Aulbach) in order to unify continuous and discrete analysis. This book is an intro duction to the study of dynamic equations on time scales. Many results concerning differential equations carryover quite easily to corresponding results for difference equations, while other results seem to be completely different in nature from their continuous counterparts. The study of dynamic equations on time scales reveals such discrepancies, and helps avoid proving results twice, once for differential equa tions and once for difference equations. The general idea is to prove a result for a dynamic equation where the domain of the unknown function is a so-called time scale, which is an arbitrary nonempty closed subset of the reals.
Author : Ronald R. Coifman
Publisher : World Scientific
ISBN 13 : 9789810240943
Total Pages : 466 pages
Book Rating : 4.2/5 (49 download)
Download or read book Topics in Analysis and Its Applications written by Ronald R. Coifman and published by World Scientific. This book was released on 2000 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains five theses in analysis, by A C Gilbert, N Saito, W Schlag, T Tao and C M Thiele. It covers a broad spectrum of modern harmonic analysis, from Littlewood-Paley theory (wavelets) to subtle interactions of geometry and Fourier oscillations. The common theme of the theses involves intricate local Fourier (or multiscale) decompositions of functions and operators to account for cumulative properties involving size or structure.
Author : Giuseppe Benfatto
Publisher : Princeton University Press
ISBN 13 : 0691221693
Total Pages : 156 pages
Book Rating : 4.6/5 (912 download)
Download or read book Renormalization Group written by Giuseppe Benfatto and published by Princeton University Press. This book was released on 2020-11-10 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scaling and self-similarity ideas and methods in theoretical physics have, in the last twenty-five years, coalesced into renormalization-group methods. This book analyzes, from a single perspective, some of the most important applications: the critical-point theory in classical statistical mechanics, the scalar quantum field theories in two and three space-time dimensions, and Tomonaga's theory of the ground state of one-dimensional Fermi systems. The dimension dependence is discussed together with the related existence of anomalies (in Tomonaga's theory and in 4 -e dimensions for the critical point). The theory of Bose condensation at zero temperature in three space dimensions is also considered. Attention is focused on results that can in principle be formally established from a mathematical point of view. The 4 -e dimensions theory, Bose condensation, as well as a few other statements are exceptions to this rule, because no complete treatment is yet available. However, the truly mathematical details are intentionally omitted and only referred to. This is done with the purpose of stressing the unifying conceptual structure rather than the technical differences or subtleties.
Author : Robert Jordan
Publisher : Macmillan
ISBN 13 : 0765314614
Total Pages : 816 pages
Book Rating : 4.7/5 (653 download)
Download or read book The Wheel of Time Companion written by Robert Jordan and published by Macmillan. This book was released on 2015-11-03 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its debut in 1990, The Wheel of Time(R) by Robert Jordan has captivated millions of readers around the globe with its scope, originality, and compelling characters. Over the course of fifteen books and millions of words, the world that Jordan created grew in depth and complexity. However, only a fraction of what Jordan imagined ended up on the page, the rest going into his personal files. Now The Wheel of Time Companion sheds light on some of the most intriguing aspects of the world, including biographies and motivations of many characters that never made it into the books, but helped bring Jordan's world to life. Included in the volume in an A-to-Z format are: An entry for each named character An inclusive dictionary of the Old Tongue New maps of the Last Battle New portraits of many characters Histories and customs of the nations of the world The strength level of many channelers Descriptions of the flora and fauna unique to the world And much more The Wheel of Time Companion will be required reading for The Wheel of Time's millions of fans. The Wheel of Time(R) New Spring: The Novel #1 The Eye of the World #2 The Great Hunt #3 The Dragon Reborn #4 The Shadow Rising #5 The Fires of Heaven #6 Lord of Chaos #7 A Crown of Swords #8 The Path of Daggers #9 Winter's Heart #10 Crossroads of Twilight #11 Knife of Dreams By Robert Jordan and Brandon Sanderson #12 The Gathering Storm #13 Towers of Midnight #14 A Memory of Light By Robert Jordan and Teresa Patterson The World of Robert Jordan's The Wheel of Time By Robert Jordan, Harriet McDougal, Alan Romanczuk, and Maria Simons The Wheel of Time Companion By Robert Jordan and Amy Romanczuk Patterns of the Wheel: Coloring Art Based on Robert Jordan's The Wheel of Time
Author : George Chrystal
Publisher : American Mathematical Soc.
ISBN 13 : 9780821816493
Total Pages : 652 pages
Book Rating : 4.8/5 (164 download)
Download or read book Algebra, an Elementary Text-book for the Higher Classes of Secondary Schools and for Colleges written by George Chrystal and published by American Mathematical Soc.. This book was released on 1999 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to the standard topics, this volume contains many topics not often found in an algebra book, such as inequalities, and the elements of substitution theory. Especially extensive is Chrystal's treatment of the infinite series, infinite products, and (finite and infinite) continued fractions. The range of entries in the Subject Index is very wide. To mention a few out of many hundreds: Horner's method, multinomial theorem, mortality table, arithmetico-geometric series, Pellian equation, Bernoulli numbers, irrationality of e, Gudermanian, Euler numbers, continuant, Stirling's theorem, Riemann surface. This volume includes over 2,400 exercises with solutions.
Author :
Publisher : Academic Press
ISBN 13 : 0080564054
Total Pages : 509 pages
Book Rating : 4.0/5 (85 download)
Download or read book Advances in Applied Mechanics written by and published by Academic Press. This book was released on 1990-01-23 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Applied Mechanics
Author : Vladislav Zheligovsky
Publisher : Springer Science & Business Media
ISBN 13 : 3642181694
Total Pages : 341 pages
Book Rating : 4.6/5 (421 download)
Download or read book Large-Scale Perturbations of Magnetohydrodynamic Regimes written by Vladislav Zheligovsky and published by Springer Science & Business Media. This book was released on 2011-06-30 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: New developments for hydrodynamical dynamo theory have been spurred by recent evidence of self-sustained dynamo activity in laboratory experiments with liquid metals. The emphasis in the present volume is on the introduction of powerful mathematical techniques required to tackle modern multiscale analysis of continous systems and there application to a number of realistic model geometries of increasing complexity. This introductory and self-contained research monograph summarizes the theoretical state-of-the-art to which the author has made pioneering contributions.
Author : E.M. de Jager
Publisher : Elsevier
ISBN 13 : 0080542751
Total Pages : 353 pages
Book Rating : 4.0/5 (85 download)
Download or read book The Theory of Singular Perturbations written by E.M. de Jager and published by Elsevier. This book was released on 1996-11-08 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of this textbook is the mathematical theory of singular perturbations, which despite its respectable history is still in a state of vigorous development. Singular perturbations of cumulative and of boundary layer type are presented. Attention has been given to composite expansions of solutions of initial and boundary value problems for ordinary and partial differential equations, linear as well as quasilinear; also turning points are discussed.The main emphasis lies on several methods of approximation for solutions of singularly perturbed differential equations and on the mathematical justification of these methods. The latter implies a priori estimates of solutions of differential equations; this involves the application of Gronwall's lemma, maximum principles, energy integrals, fixed point theorems and Gåding's theorem for general elliptic equations. These features make the book of value to mathematicians and researchers in the engineering sciences, interested in the mathematical justification of formal approximations of solutions of practical perturbation problems. The text is selfcontained and each chapter is concluded with some exercises.
Author : John P. Boyd
Publisher : Springer Science & Business Media
ISBN 13 : 1461558255
Total Pages : 609 pages
Book Rating : 4.4/5 (615 download)
Download or read book Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics written by John P. Boyd and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first thorough examination of weakly nonlocal solitary waves, which are just as important in applications as their classical counterparts. The book describes a class of waves that radiate away from the core of the disturbance but are nevertheless very long-lived nonlinear disturbances.
Author : Jürg Frohlich
Publisher : Oxford University Press
ISBN 13 : 0191623768
Total Pages : pages
Book Rating : 4.1/5 (916 download)
Download or read book Quantum Theory from Small to Large Scales written by Jürg Frohlich and published by Oxford University Press. This book was released on 2012-05-24 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects lecture courses and seminars given at the Les Houches Summer School 2010 on "Quantum Theory: From Small to Large Scales". Fundamental quantum phenomena appear on all scales, from microscopic to macroscopic. Some of the pertinent questions include the onset of decoherence, the dynamics of collective modes, the influence of external randomness and the emergence of dissipative behaviour. Our understanding of such phenomena has been advanced by the study of model systems and by the derivation and analysis of effective dynamics for large systems and over long times. In this field, research in mathematical physics has regularly contributed results that were recognized as essential in the physics community. During the last few years, the key questions have been sharpened and progress on answering them has been particularly strong. This book reviews the state-of-the-art developments in this field and provides the necessary background for future studies. All chapters are written from a pedagogical perspective, making the book accessible to master and PhD students and researchers willing to enter this field.
Author : Catholic University of America
Publisher :
ISBN 13 :
Total Pages : 396 pages
Book Rating : 4.:/5 (31 download)
Download or read book Educational Research Monographs written by Catholic University of America and published by . This book was released on 1925 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thomas George Foran
Publisher :
ISBN 13 :
Total Pages : 358 pages
Book Rating : 4.F/5 ( download)
Download or read book The Elementary School Teacher's Uses of Educational Tests written by Thomas George Foran and published by . This book was released on 1925 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Giuseppe Gaeta
Publisher : Springer Nature
ISBN 13 : 1071626213
Total Pages : 601 pages
Book Rating : 4.0/5 (716 download)
Download or read book Perturbation Theory written by Giuseppe Gaeta and published by Springer Nature. This book was released on 2022-12-16 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, is devoted to the fundamentals of Perturbation Theory (PT) as well as key applications areas such as Classical and Quantum Mechanics, Celestial Mechanics, and Molecular Dynamics. Less traditional fields of application, such as Biological Evolution, are also discussed. Leading scientists in each area of the field provide a comprehensive picture of the landscape and the state of the art, with the specific goal of combining mathematical rigor, explicit computational methods, and relevance to concrete applications. New to this edition are chapters on Water Waves, Rogue Waves, Multiple Scales methods, legged locomotion, Condensed Matter among others, while all other contributions have been revised and updated. Coverage includes the theory of (Poincare’-Birkhoff) Normal Forms, aspects of PT in specific mathematical settings (Hamiltonian, KAM theory, Nekhoroshev theory, and symmetric systems), technical problems arising in PT with solutions, convergence of series expansions, diagrammatic methods, parametric resonance, systems with nilpotent real part, PT for non-smooth systems, and on PT for PDEs [write out this acronym partial differential equations]. Another group of papers is focused specifically on applications to Celestial Mechanics, Quantum Mechanics and the related semiclassical PT, Quantum Bifurcations, Molecular Dynamics, the so-called choreographies in the N-body problem, as well as Evolutionary Theory. Overall, this unique volume serves to demonstrate the wide utility of PT, while creating a foundation for innovations from a new generation of graduate students and professionals in Physics, Mathematics, Mechanics, Engineering and the Biological Sciences.
Author : Christian Kuehn
Publisher : Springer
ISBN 13 : 3319123165
Total Pages : 816 pages
Book Rating : 4.3/5 (191 download)
Download or read book Multiple Time Scale Dynamics written by Christian Kuehn and published by Springer. This book was released on 2015-02-25 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to dynamical systems with multiple time scales. The approach it takes is to provide an overview of key areas, particularly topics that are less available in the introductory form. The broad range of topics included makes it accessible for students and researchers new to the field to gain a quick and thorough overview. The first of its kind, this book merges a wide variety of different mathematical techniques into a more unified framework. The book is highly illustrated with many examples and exercises and an extensive bibliography. The target audience of this book are senior undergraduates, graduate students as well as researchers interested in using the multiple time scale dynamics theory in nonlinear science, either from a theoretical or a mathematical modeling perspective.
