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  • Zeroing Dynamics, Gradient Dynamics, and Newton Iterations
    Zeroing Dynamics, Gradient Dynamics, and Newton Iterations

    Neural networks and neural dynamics are powerful approaches for the online solution of mathematical problems arising in many areas of science, engineering, and business.Compared with conventional gradient neural networks that only deal with static problems of constant coefficient matrices and vectors, the authors’ new method called zeroing dynamics solves time-varying problems.Zeroing Dynamics, Gradient Dynamics, and Newton Iterations is the first book that shows how to accurately and efficiently solve time-varying problems in real-time or online using continuous- or discrete-time zeroing dynamics.The book brings together research in the developing fields of neural networks, neural dynamics, computer mathematics, numerical algorithms, time-varying computation and optimization, simulation and modeling, analog and digital hardware, and fractals. The authors provide a comprehensive treatment of the theory of both static and dynamic neural networks.Readers will discover how novel theoretical results have been successfully applied to many practical problems.The authors develop, analyze, model, simulate, and compare zeroing dynamics models for the online solution of numerous time-varying problems, such as root finding, nonlinear equation solving, matrix inversion, matrix square root finding, quadratic optimization, and inequality solving.

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  • Molecular Dynamics
    Molecular Dynamics

    This molecular dynamics textbook takes the reader from classical mechanics to quantum mechanics and vice versa, and from few-body systems to many-body systems.It is self-contained, comprehensive, and builds the theory of molecular dynamics from basic principles to applications, allowing the subject to be appreciated by readers from physics, chemistry, and biology backgrounds while maintaining mathematical rigor.The book is enhanced with illustrations, problems and solutions, and suggested reading, making it ideal for undergraduate and graduate courses or self-study.With coverage of recent developments, the book is essential reading for students who explore and characterize phenomena at the atomic level.It is a useful reference for researchers in physics and chemistry, and can act as an entry point for researchers in nanoscience, materials engineering, genetics, and related fields who are seeking a deeper understanding of nature.

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  • Microsystems Dynamics
    Microsystems Dynamics

    In recent years microelectromechanical systems (MEMS) have emerged as a new technology with enormous application potential.MEMS manufacturing techniques are essentially the same as those used in the semiconductor industry, therefore they can be produced in large quantities at low cost.The added benefits of lightweight, miniature size and low energy consumption make MEMS commercialization very attractive. Modeling and simulation is an indispensable tool in the process of studying these new dynamic phenomena, development of new microdevices and improvement of the existing designs.MEMS technology is inherently multidisciplinary since operation of microdevices involves interaction of several energy domains of different physical nature, for example, mechanical, fluidic and electric forces.Dynamic behavior of contact-type electrostatic microactuators, such as a microswitches, is determined by nonlinear fluidic-structural, electrostatic-structural and vibro-impact interactions.The latter is particularly important: Therefore it is crucial to develop accurate computational models for numerical analysis of the aforementioned interactions in order to better understand coupled-field effects, study important system dynamic characteristics and thereby formulate guidelines for the development of more reliable microdevices with enhanced performance, reliability and functionality.

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  • Engineering Dynamics
    Engineering Dynamics

    This text is a modern vector-oriented treatment of classical dynamics and its application to engineering problems.Based on Ginsberg's Advanced Engineering Dynamics, 2nd edition, it develops a broad spectrum of kinematical concepts, which provide the framework for formulations of kinetics principles following the Newton-Euler and analytical approaches.This fresh treatment features many expanded and new derivations, with an emphasis on both breadth and depth and a focus on making the subject accessible to individuals from a broad range of backgrounds.Numerous examples implement a consistent pedagogical structure.Many new homework problems were added and their variety increased.

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  • What is the difference between Microsoft Dynamics AX and Dynamics 365?

    Microsoft Dynamics AX is an enterprise resource planning (ERP) software that was rebranded as Dynamics 365 for Finance and Operations. Dynamics AX is an on-premises solution, while Dynamics 365 is a cloud-based solution that offers a suite of applications including CRM, ERP, and other business operations tools. Dynamics 365 is designed to be more flexible and scalable, allowing businesses to choose the specific applications they need and easily add more as their needs evolve.

  • What is population dynamics?

    Population dynamics is the study of how populations of organisms change over time. It involves analyzing factors such as birth rates, death rates, immigration, and emigration to understand how populations grow, shrink, or remain stable. By studying population dynamics, scientists can gain insights into the factors that influence population size and structure, as well as the interactions between different species within an ecosystem. This information is crucial for conservation efforts, resource management, and understanding the impacts of human activities on the environment.

  • What is dynamics in physics?

    Dynamics in physics refers to the branch of mechanics that deals with the motion of objects and the forces that cause them to move. It involves studying how objects interact with each other and how they respond to external forces. Dynamics helps us understand the relationship between motion, force, and energy, allowing us to predict and analyze the behavior of physical systems. By studying dynamics, we can explain the motion of objects, from the trajectory of a baseball to the orbit of planets around the sun.

  • Do extroverts disrupt group dynamics?

    Extroverts can sometimes disrupt group dynamics if they dominate conversations, interrupt others, or fail to listen to different perspectives. However, extroverts can also bring energy, enthusiasm, and new ideas to a group, which can be beneficial for overall dynamics. It ultimately depends on the individual and how they interact with the group. Effective communication and mutual respect among all group members are key to maintaining positive group dynamics.

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  • Motorcycle Dynamics
    Motorcycle Dynamics

    The book presents the theory of motorcycle dynamics.It is a technical book for the engineer, student, or technically/mathematically inclined motorcycle enthusiast.Motorcycle Dynamics offers a wealth of information compiled from the most up-to-date research into the behavior and performance of motorcycles.The structure of the book and abundant graphs assist in understanding an exceptionally complicated subject.The book presents a large number of graphs and figures that make the understanding easy.

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  • Engineering Dynamics
    Engineering Dynamics

    Engineering Dynamics is an introductory textbook covering the kinematics and dynamics of particles, systems of particles, and kinematics and dynamics of rigid bodies.It has been developed from lecture notes given by the author since 1982.It includes sufficient topics normally covered in a single-semester three credit hour course taken by sophomores in an undergraduate degree program majoring in various engineering disciplines. The primary focus of the book is on kinematics and dynamics of particles, kinematics and dynamics of systems of particles, and kinematics and dynamics of rigid bodies in two- and three-dimensional spaces.It aims at providing a short book, relative to many available in literature, but with detailed solutions to representative examples.Exercise questions are included.

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  • Ocean Dynamics
    Ocean Dynamics

    Ocean Dynamics’ is a concise introduction to the fundamentals of fluid mechanics, non-equilibrium thermodynamics and the common approximations for geophysical fluid dynamics, presenting a comprehensive approach to large-scale ocean circulation theory.The book is written on the physical and mathematical level of graduate students in theoretical courses of physical oceanography, meteorology and environmental physics.An extensive bibliography and index, extensive side notes and recommendations for further reading, and a comparison with the specific atmospheric physics where applicable, makes this volume also a useful reading for researchers.Each of the four parts of the book – fundamental laws, common approximations, ocean waves, oceanic turbulence and eddies, and selected aspects of ocean dynamics – starts with elementary considerations, blending then classical topics with more advanced developments of fluid mechanics and theoretical oceanography.The last part covers the theory of the global wind-driven circulation in homogeneous and stratified regimes, the circulation and overturning in the Southern Ocean, and the global meridional overturning and thermohaline-driven circulation.Emphasis is placed on simple physical models rather than access to extensive numerical results, enabling students to understand and reproduce the complex theory mostly by analytical means.All equations and models are derived in detail and illustrated by numerous figures.The appendix provides short excursions into the mathematical background, such as vector analysis, statistics, and differential equations

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  • Structural Dynamics
    Structural Dynamics

    Dynamics is increasingly being identified by consulting engineers as one of the key skills which needs to be taught in civil engineering degree programs.This is driven by the trend towards lighter, more vibration-prone structures, the growth of business in earthquake regions, the identification of new threats such as terrorist attack and the increased availability of sophisticated dynamic analysis tools. Martin Williams presents this short, accessible introduction to the area of structural dynamics.He begins by describing dynamic systems and their representation for analytical purposes.The two main chapters deal with linear analysis of single (SDOF) and multi-degree-of-freedom (MDOF) systems, under free vibration and in response to a variety of forcing functions.Hand analysis of continuous systems is covered briefly to illustrate the key principles.Methods of calculation of non-linear dynamic response is also discussed.Lastly, the key principles of random vibration analysis are presented – this approach is crucial for wind engineering and is increasingly important for other load cases.An appendix briefly summarizes relevant mathematical techniques.Extensive use is made of worked examples, mostly drawn from civil engineering (though not exclusively – there is considerable benefit to be gained from emphasizing the commonality with other branches of engineering).This introductory dynamics textbook is aimed at upper level civil engineering undergraduates and those starting an M.Sc. course in the area.

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  • What is kinematics and dynamics?

    Kinematics is the branch of physics that deals with the motion of objects without considering the forces that cause the motion. It focuses on describing the position, velocity, and acceleration of objects as they move through space and time. On the other hand, dynamics is the branch of physics that deals with the forces and torques that cause motion. It involves studying how forces and torques affect the motion of objects, including how they cause changes in velocity and acceleration. In summary, kinematics describes the motion of objects, while dynamics explains the forces and torques that cause that motion.

  • What is inelastic collision dynamics?

    In an inelastic collision, kinetic energy is not conserved, and some of the initial kinetic energy is transformed into other forms of energy, such as thermal or sound energy. This results in the objects sticking together after the collision, or deforming and losing some of their initial kinetic energy. Inelastic collisions are characterized by a decrease in kinetic energy and the objects involved experiencing a change in shape or structure. The dynamics of inelastic collisions can be described using the principles of conservation of momentum and conservation of kinetic energy.

  • What do you understand by dynamics?

    Dynamics refers to the forces or factors that contribute to the overall behavior or change within a system. It involves the interactions and relationships between different elements that influence the system's behavior over time. Dynamics can encompass a wide range of elements, such as movement, energy, growth, and change, and can be observed in various systems, including physical, biological, social, and economic systems. Understanding dynamics is essential for predicting and managing the behavior of complex systems.

  • What is the dynamics in physics?

    Dynamics in physics refers to the branch of mechanics that deals with the study of motion and the forces that cause it. It involves analyzing how objects move and understanding the factors that influence their motion, such as acceleration, velocity, and momentum. By studying dynamics, physicists can predict the behavior of objects in motion and explain the underlying principles that govern their movement.

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