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Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics
by N. Sukumar Kai HormannIn Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics, eminent computer graphics and computational mechanics researchers provide a state-of-the-art overview of generalized barycentric coordinates. Commonly used in cutting-edge applications such as mesh parametrization, image warping, mesh deformation, and finite as well as boundary element methods, the theory of barycentric coordinates is also fundamental for use in animation and in simulating the deformation of solid continua. Generalized Barycentric Coordinates is divided into three sections, with five chapters each, covering the theoretical background, as well as their use in computer graphics and computational mechanics. A vivid 16-page insert helps illustrating the stunning applications of this fascinating research area. <P><P>Key Features: <li>Provides an overview of the many different types of barycentric coordinates and their properties. <li>Discusses diverse applications of barycentric coordinates in computer graphics and computational mechanics. <li>The first book-length treatment on this topic
Generalized Continua as Models for Classical and Advanced Materials
by Holm Altenbach Samuel ForestThis volume is devoted to an actual topic which is the focus world-wide of various research groups. It contains contributions describing the material behavior on different scales, new existence and uniqueness theorems, the formulation of constitutive equations for advanced materials. The main emphasis of the contributions is directed on the following items - Modelling and simulation of natural and artificial materials with significant microstructure, - Generalized continua as a result of multi-scale models, - Multi-field actions on materials resulting in generalized material models, - Theories including higher gradients, and - Comparison with discrete modelling approaches
Generalized Continua as Models for Materials
by Holm Altenbach Anton Krivtsov Samuel ForestThis volume presents contributions describing the micro- and macro-behaviours, new existence and uniqueness theorems, the formulation of multi-scale problems, etc. and now it is time to ponder again the state of matter and to discuss new trends and applications. The main focus is directed on the following items - Modelling and simulation of materials with significant microstructure, - Generalized continua as a result of multi-scale models, - Multi-field actions on materials resulting in generalized material models, and - Comparison with discrete modelling approaches
Generalized Dynamics of Soft-Matter Quasicrystals: Mathematical Models, Solutions and Applications (Springer Series in Materials Science #260)
by Tian-You Fan Wenge Yang Hui Cheng Xiao-Hong SunThis book highlights the mathematical models and solutions of the generalized dynamics of soft-matter quasicrystals (SMQ) and introduces possible applications of the theory and methods. Based on the theory of quasiperiodic symmetry and symmetry breaking, the book treats the dynamics of individual quasicrystal systems by reducing them to nonlinear partial differential equations and then provides methods for solving the initial-boundary value problems in these equations. The solutions obtained demonstrate the distribution, deformation and motion of SMQ and determine the stress, velocity and displacement fields. The interactions between phonons, phasons and fluid phonons are discussed in some fundamental materials samples. The reader benefits from a detailed comparison of the mathematical solutions for both solid and soft-matter quasicrystals, gaining a deeper understanding of the universal properties of SMQ. The second edition covers the latest research progress on quasicrystals in topics such as thermodynamic stability, three-dimensional problems and solutions, rupture theory, and the photonic band-gap and its applications. These novel chapters make the book an even more useful and comprehensive reference guide for researchers in condensed matter physics, chemistry and materials sciences.
Generalized Homogeneity in Systems and Control (Communications and Control Engineering)
by Andrey PolyakovThis monograph introduces the theory of generalized homogeneous systems governed by differential equations in both Euclidean (finite-dimensional) and Banach/Hilbert (infinite-dimensional) spaces. It develops methods of stability and robustness analysis, control design, state estimation and discretization of homogeneous control systems. Generalized Homogeneity in Systems and Control is structured in two parts. Part I discusses various models of control systems and related tools for their analysis, including Lyapunov functions. Part II deals with the analysis and design of homogeneous control systems. Some of the key features of the text include: mathematical models of dynamical systems in finite-dimensional and infinite-dimensional spaces; the theory of linear dilations in Banach spaces;homogeneous control and estimation;simple methods for an "upgrade" of existing linear control laws; numerical schemes for a consistent digital implementation of homogeneous algorithms; and experiments confirming an improvement of PID controllers. The advanced mathematical material will be of interest to researchers, mathematicians working in control theory and mathematically oriented control engineers.
Generalized Linear Mixed Models with Applications in Agriculture and Biology
by Osval Antonio Montesinos López Josafhat Salinas Ruíz Gabriela Hernández Ramírez Jose Crossa HiriartThis open access book offers an introduction to mixed generalized linear models with applications to the biological sciences, basically approached from an applications perspective, without neglecting the rigor of the theory. For this reason, the theory that supports each of the studied methods is addressed and later - through examples - its application is illustrated. In addition, some of the assumptions and shortcomings of linear statistical models in general are also discussed. An alternative to analyse non-normal distributed response variables is the use of generalized linear models (GLM) to describe the response data with an exponential family distribution that perfectly fits the real response. Extending this idea to models with random effects allows the use of Generalized Linear Mixed Models (GLMMs). The use of these complex models was not computationally feasible until the recent past, when computational advances and improvements to statistical analysis programs allowed users to easily, quickly, and accurately apply GLMM to data sets. GLMMs have attracted considerable attention in recent years. The word "Generalized" refers to non-normal distributions for the response variable and the word "Mixed" refers to random effects, in addition to the fixed effects typical of analysis of variance (or regression). With the development of modern statistical packages such as Statistical Analysis System (SAS), R, ASReml, among others, a wide variety of statistical analyzes are available to a wider audience. However, to be able to handle and master more sophisticated models requires proper training and great responsibility on the part of the practitioner to understand how these advanced tools work. GMLM is an analysis methodology used in agriculture and biology that can accommodate complex correlation structures and types of response variables.
Generalized Measure Theory
by Zhenyuan Wang George J. KlirGeneralized Measure Theory examines the relatively new mathematical area of generalized measure theory. The exposition unfolds systematically, beginning with preliminaries and new concepts, followed by a detailed treatment of important new results regarding various types of nonadditive measures and the associated integration theory. The latter involves several types of integrals: Sugeno integrals, Choquet integrals, pan-integrals, and lower and upper integrals. All of the topics are motivated by numerous examples, culminating in a final chapter on applications of generalized measure theory. Some key features of the book include: many exercises at the end of each chapter along with relevant historical and bibliographical notes, an extensive bibliography, and name and subject indices. The work is suitable for a classroom setting at the graduate level in courses or seminars in applied mathematics, computer science, engineering, and some areas of science. A sound background in mathematical analysis is required. Since the book contains many original results by the authors, it will also appeal to researchers working in the emerging area of generalized measure theory.
Generalized Notions of Continued Fractions: Ergodicity and Number Theoretic Applications (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
by Wolfgang Trutschnig Juan Fernández Sánchez Jerónimo López-Salazar Codes Juan B. Seoane SepúlvedaAncient times witnessed the origins of the theory of continued fractions. Throughout time, mathematical geniuses such as Euclid, Aryabhata, Fibonacci, Bombelli, Wallis, Huygens, or Euler have made significant contributions to the development of this famous theory, and it continues to evolve today, especially as a means of linking different areas of mathematics.This book, whose primary audience is graduate students and senior researchers, is motivated by the fascinating interrelations between ergodic theory and number theory (as established since the 1950s). It examines several generalizations and extensions of classical continued fractions, including generalized Lehner, simple, and Hirzebruch-Jung continued fractions. After deriving invariant ergodic measures for each of the underlying transformations on [0,1] it is shown that any of the famous formulas, going back to Khintchine and Levy, carry over to more general settings. Complementing these results, the entropy of the transformations is calculated and the natural extensions of the dynamical systems to [0,1]2 are analyzed. Features Suitable for graduate students and senior researchers Written by international senior experts in number theory Contains the basic background, including some elementary results, that the reader may need to know before hand, making it a self-contained volume
Generalized Perturbations in Modified Gravity and Dark Energy
by Jonathan PearsonWhen predictions of Einstein's theory of General Relativity are compared against observations of our Universe, a huge inconsistency is found. The most popular fix for this inconsistency is to "invent" around 94% of the content of the universe: dark matter and dark energy. The dark energy is some exotic substance responsible for the apparent observed acceleration of the Universe. Another fix is to modify the theory of gravity: it is entirely plausible that Einstein's theory of General Relativity breaks down on cosmological scales, just as Newton's theory of gravity breaks down in the extreme gravitational field of the Sun. There are many alternative theories of gravity, each with the aim of describing observations of our Universe where General Relativity fails. Whether it is dark energy or some modified theory of gravity, it is clear that there is some "dark sector" in the Universe. In this thesis the author constructs a unifying framework for understanding the observational impact of general classes of dark sector theories, by formulating equations of state for the dark sector perturbations.
Generalized Predictive Control And Bioengineering (Series in Systems and Control)
by M Mahfouf D. A. LinkensPredictive control is a powerful tool in dealing with those processes with large time delays. Generalized Predictive Control GPC is the most popular approach to the subject, and this text discusses the application of GPC starting with the concept of long-range predictive control and its need in medicine particularly automated drug deliveries.; The concept of adaptation is also emphasized with respect to patient-to-patient parameter variations. Subsequent chapters discuss interactions, comparisons and various aspects of GPC. The book concludes by putting into perspective the generic nature of the architecture built around GPC and which provides model-based fault diagnosis with control.
Generalized Statistical Thermodynamics: Thermodynamics of Probability Distributions and Stochastic Processes (Understanding Complex Systems)
by Themis MatsoukasThis book gives the definitive mathematical answer to what thermodynamics really is: a variational calculus applied to probability distributions. Extending Gibbs's notion of ensemble, the Author imagines the ensemble of all possible probability distributions and assigns probabilities to them by selection rules that are fairly general. The calculus of the most probable distribution in the ensemble produces the entire network of mathematical relationships we recognize as thermodynamics. The first part of the book develops the theory for discrete and continuous distributions while the second part applies this thermodynamic calculus to problems in population balance theory and shows how the emergence of a giant component in aggregation, and the shattering transition in fragmentation may be treated as formal phase transitions. While the book is intended as a research monograph, the material is self-contained and the style sufficiently tutorial to be accessible for self-paced study by an advanced graduate student in such fields as physics, chemistry, and engineering.
Generalized Topology Optimization for Structural Design
by Yi Min XieThis book challenges many assumptions commonly used in structural topology optimization. These assumptions include: (1) to find the unique and globally optimal solution—the &‘best&’ design, (2) under prescribed support conditions, (3) for given loading conditions, (4) within a predetermined design domain, and (5) without considering the designer&’s aesthetic preferences. Through a systematic discussion and numerous examples, this book clearly shows that the traditional assumptions are not only unnecessary, but also imposing severe limitations on design freedom and hindering creativity in structural design. The generalized topology optimization framework presented in this book breaks the mold of many conventional thoughts in structural topology optimization. The new framework will enable topology optimization techniques to solve a much wider range of practical problems. This book appeals to researchers and graduate students working in structural design and optimization and is of interest to civil and structural engineers, architects, mechanical engineers, and product designers involved in creating innovative and efficient structures. This book is open access.
Generalized Wavelets and Hypergroups
by Khalifa TrimecheWavelets have recently been enjoying a period of popularity and rapid growth, and the influence of wavelet methods now extends well beyond mathematics into a number of practical fields, including statistics. The theory of hypergroups can be traced back to the turn of the century, and following its formalization in the early 1970s, the area has now
Generating Electricity Using Photovoltaic Solar Plants in Iraq
by Miqdam Tariq Chaichan Hussein A. KazemThis book focuses on solar energy and its applications in Iraq and its neighboring countries. Iraq suffers from electricity shortages and faces many challenges to meet and overcome current and future increases in electrical demand. Although Iraq relies primarily on petroleum as an energy source, many scientists agree that the future of energy efficiency and safety will rely heavily on the implementation of green and renewable energies. This book is aimed at researchers, policymakers, and students and discusses how PV systems can be successfully implemented in order to reduce dependency on fossil fuel resources.Contains case studies and examples to enhance practical application of the technologies presented;Presents actual adopted Iraqi PV projects;Explains the use and application of photovoltaic cells.
Generating Micro- and Nanopatterns on Polymeric Materials
by Eduard Arzt Aránzazu Del CampoNew micro and nanopatterning technologies have been developed in the last years as less costly and more flexible alternatives to phtolithograpic processing. These technologies have not only impacted on recent developments in microelectronics, but also in emerging fields such as disposable biosensors, scaffolds for tissue engineering, non-biofouling coatings, high adherence devices, or photonic structures for the visible spectrum. This handbook presents the current processing methods suitable for the fabrication of micro- and nanostructured surfaces made out of polymeric materials. It covers the steps and materials involved, the resulting structures, and is rounded off by a part on applications. As a result, chemists, material scientists, and physicists gain a critical understanding of this topic at an early stage of its development.
Generation Gen-Schere: Wie begegnen wir der gentechnologischen Revolution?
by Röbbe WünschiersWir erleben derzeit eine neue Dimension der Gentechnik, doch wohin soll die Reise führen? Sollen wir Krankheiten therapieren oder besser genetisch reparieren? Führt die neue Gentechnik verbunden mit der modernen Reproduktionsbiologie zu Designer-Babies? Und: Dürfen wir eine Liberalisierung dieser Techniken als Bürgerwissenschaft (Citizen Science) zulassen?Neue Methoden können das Erbgut präzise verändern – und sie hinterlassen keine Spuren. Diese „Gen(om)chirurgie“ gedeiht auf dem Boden zunehmenden Wissens um die Wirkungsweise der Gene, jenen merkmalsgebenden Bereichen im Genom. Vor allem im Bereich der Züchtung widerstandsfähigerer und ertragreicherer Kulturpflanzen findet dieses Wissen seine praktische Anwendung. Und der Mensch? Der Autor zeigt, dass Genvarianten längst nicht mehr nur mit Krankheiten, sondern auch mit Ernährungsvorlieben oder Intelligenz in Verbindung gesetzt werden. Therapie- und Optimierungsmöglichkeiten liegen nahe beieinander. Welche Wirkung hat die Umwelt auf die Ausprägung des Erbguts? Gene können zu Lebzeiten durch Umwelt, Ernährung oder Erlebtes geprägt und so verändert an die Nachkommen weitergegeben werden. Hat also die Gesellschaft eine neue Form der Langzeitverantwortung für die (epi)genetische Integrität?Der Autor erklärt in diesem anschaulich und verständlich geschriebenen Buch den Stand der Gentechnologie ohne allzu viel Vorwissen vorauszusetzen und lädt zu einem offenen Dialog über dieses ambivalente Thema ein. Machen Sie sich ein eigenes Bild von den faszinierenden und doch auch einschüchternden Möglichkeiten der Gentechnik. Wie stehen Sie dazu? Mithilfe dieses Buches haben Sie die Chance sich eine differenzierte Meinung zu bilden.
Generation Robot: A Century of Science Fiction, Fact, and Speculation
by Terri FavroGeneration Robot covers a century of science fiction, fact and, speculation—from the 1950 publication of Isaac Asimov’s seminal robot masterpiece, I, Robot, to the 2050 Singularity when artificial and human intelligence are predicted to merge. Beginning with a childhood informed by pop-culture robots in movies, in comic books, and on TV in the 1960s to adulthood where the possibilities of self-driving cars and virtual reality are daily conversation, Terri Favro offers a unique perspective on how our relationship with robotics and futuristic technologies has shifted over time. Peppered with pop-culture fun-facts about Superman’s kryptonite, the human-machine relationships in the cult TV show Firefly, and the sexual and moral implications of the film Ex Machina, Generation Robot explores how the techno-triumphs and resulting anxieties of reality bleed into the fantasies of our collective culture.Clever and accessible, Generation Robot isn’t just for the serious, scientific reader—it’s for everyone interested in robotics and technology since their science-fiction origins. By looking back at the future she once imagined, analyzing the plugged-in present, and speculating on what is on the horizon, Terri Favro allows readers the chance to consider what was, what is, and what could be. This is a captivating book that looks at the pop-culture of our society to explain how the world works—now and tomorrow.
Generation and Applications of Extra-Terrestrial Environments on Earth (River Publishers Series In Standardisation Ser.)
by Daniel A. Beysens Jack J. W. A. van LoonThis book has been prepared under the auspice of the European Low Gravity Research Association (ELGRA). The main task of ELGRA is to foster the scientific community in Europe and beyond in conducting gravity and space-related research.This publication is dedicated to the science community, and especially to the next generation of scientists and engineers interested in space research and in the means to use Earth to reproduce the space environment. ELGRA provides a comprehensive description of space conditions and the means that have been developed on Earth to perform space environmental and (micro-) gravity related research. .The book covers ground-based research instruments and environments for both life and physical sciences research. It discusses the opportunities and limitations of protocols and instruments to compensate gravity or simulate microgravity, such as clinostats, random positioning machines, levitating magnets, electric fields, vibrations, tail suspension or head down tilt, as well as centrifuges for hyper-g studies. Other space environmental conditions are addressed too, like cosmic radiation or Mars atmospheric and soil properties to be replicated and simulated on Earth. Future long duration of manned missions, personal well-being and crew interaction are major issues dealt with.
Generation and Parametric Amplification of Few‐Cycle Light Pulses at Relativistic Intensities (Springer Theses)
by Alexander KesselThis book reports on the development of a pioneering light source architecture of the so-called Petawatt Field Synthesizer (PFS) system, which is based on short-pulse pumped, optical parametric chirped pulse amplification (OPCPA), driven by a homemade, 1-ps diode-pumped Yb:YAG. At a few-cycle pulse duration of the amplified pulses, this architecture yields record levels of peak power and temporal contrast, the latter boasting a 100-times faster rise time from the noise level to peak intensity of the pulse compared to conventional laser systems. This allows investigation of the true laser–solid interaction without premature plasma expansion and without lossy pulse cleaning by e.g. plasma mirrors. The book describes several concepts for the generation of broadband, high-energy and high-contrast seed pulses, as well as the OPCPA development, few-cycle pulse compression and contrast characterization in a concise and insightful manner. The theory chapter serves as an excellent and accessible primer on OPCPA and other nonlinear interactions, while the experimental parts provide an excellent description of the challenges of developing such a novel architecture and some of the innovative solutions to overcome them.
Generation and Update of a Digital Twin in a Process Plant
by Josip Stjepandić Johannes Lützenberger Philipp KremerThis book covers the most important subjects of digital twin in a process plant, including foundations, methods, achievements, and applications in a brownfield environment. Besides offering a variety of applications and procedural variants from research and industrial practice, this book also provides a comprehensive insight into holistic plant planning. It also discusses the challenges that currently exist in different application areas. This book would be of interest to industry professionals and researchers in industrial and manufacturing engineering.
Generation of Energy from Municipal Solid Waste: Circular Economy and Sustainability
by Salah Souabi Abdelkader AnouzlaThis book endeavors to critically assess and analyze the latent energy potential inherent within waste materials, thereby reframing the conventional perception of garbage from being solely a detrimental source of environmental pollution to being recognized as a viable and sustainable energy source. Furthermore, this book provides an extensive and meticulously curated database that serves as an invaluable resource to guide stakeholders in selecting the most appropriate and effective methodologies for waste disposal, whilst facilitating the generation of renewable energy that can significantly contribute to energy sustainability. In undertaking this comprehensive evaluation, the book highlights the transformative possibilities of waste management practices. It underscores the broader implications for environmental conservation and the advancement of renewable energy technologies in contemporary society. The text comprises 17 chapters on waste management with clean energy generation (heat, CH4, H2, diesel, petrol, methanol, ethanol, etc.) that experts in the field have suggested. Energy from trash may be recovered, which results in a decrease in greenhouse gas emissions and the creation of new recovery technologies. Lowering environmental pollution is an intelligent approach to ensure national energy security and combat the trend toward global warming.
Generation of Surfaces: Kinematic Geometry of Surface Machining
by Stephen P. RadzevichA commonly used practice in industry is the machining of sculptured part surfaces on a multiaxis numerical control (NC) machine. While this practice is vital, it is also a costly aspect of the surface generation process. After investing more than 40 years of research into the theory of part surface generation, the author of Generation of Surfaces:
Generation of cDNA Libraries
by Shao-Yao YingExpert researchers and inventors in the field describe their own proven techniques for generating cDNA/mRNA libraries to identify the functions of specific decoded gene sequences. A wide variety of techniques is presented for enhancing the generation of complete and full-length libraries, and for confirming the quality of the cDNAs generated. Among the applications detailed are electrophoresis, Northern blotting, single cell microarray analysis, subtractive hybridization, subtractive cloning, gene cloning, and peptide library generation.
Generation, Detection and Processing of Terahertz Signals (Lecture Notes in Electrical Engineering #794)
by Arindam Biswas Aritra Acharyya Palash DasThis book contains detailed descriptions and associated discussions regarding different generation, detection and signal processing techniques for the electrical and optical signals within the THz frequency spectrum (0.3–10 THz). It includes detailed reviews of some recently developed electronic and photonic devices for generating and detecting THz waves, potential materials for implementing THz passive circuits, some newly developed systems and methods associated with THz wireless communication, THz antennas and some cutting-edge techniques associated with the THz signal and image processing. The book especially focuses on the recent advancements and several research issues related to THz sources, detectors and THz signal and image processing techniques; it also discusses theoretical, experimental, established and validated empirical works on these topics. The book caters to a very wide range of readers from basic science to technological experts as well as students.
Generation, Transmission, Detection, and Application of Vortex Beams (Optical Wireless Communication Theory and Technology)
by Xizheng KeThis book focuses on the key technologies supporting orbital-angular-momentum multiplexing communication: generation, transmission, detection, and application of vortex beams. A series of methods for generating vortex beams are described and compared in detail. Laguerre-Gaussian and Bessel-Gaussian beams are taken as examples to introduce the transport properties of vortex beams in atmospheric turbulence. The authors show that superposition of vortex beam state, interference, diffraction, and grating can realize the detection of the topological charge of vortex beams. The authors also introduce the application of vortex beams in optical communication and the transmission characteristics of partially coherent vortex beams in atmospheric turbulence. Finally, the authors describe vortex beam information exchange and channel reconstruction.