Matematik for ingeniører

This volume gathers the latest advances, innovations and applications in the field of cable dynamics and aerodynamics, as presented by leading researchers and engineers at the 3rd International Symposium on Dynamics and Aerodynamics of Cables (ISDAC), held in Rome, Italy on June 15-17, 2023. The contributions encompass topics such as nonlinear cable dynamics, cable structures and moving cables, cable aging, fatigue, degradation and failure mechanisms, laboratory testing of cable dynamics and aerodynamics, computational models for cable dynamics and fluid-structure interaction, cable vibration control, cable driven parallel manipulators, monitoring of cable performance, environmental and anthropic loads on cable structures. The contributions, which were selected through a rigorous international peer-review process, share exciting ideas that will spur novel research directions and foster new multidisciplinary collaborations.

Presently, we stand on the threshold of a technological revolution that will drastically change the way we live, work, and communicate with each other. By the current rate, scope, and complexity, this transformation will be as fundamental for society as any other technological paradigm change from the past. The industries which are more susceptible to change are technologically oriented industries including banking, finance, accounting, and auditing. One of the technological concepts of the technological revolution is the concept of the digital twin.The application of digital twins and AI as paired with Internet of Things technologies makes it possible to solve ESG problems on a completely different level (Li, 2019) for accounting firms and financial institutions. These include recycling on demand, rational energy consumption, smart surveillance cameras for crime tracking, and smart branch parking solutions, monitoring the wear and tear and conditions of financial technology infrastructures.Moreover, numerous researchers and practitioners emphasize the significance of innovating sustainable business models and operations (Geissdoerfer et al., 2018). The digital twin will allow businesses and financial institutions to minimize costs, boost customer service, and find new ways to generate revenue. DTW is accessible now more than ever, and many reputable and innovative companies such as Tesla, Ericsson, and Siemens have adopted it with varying success.Therefore, this book examines the opportunities, challenges, and risks of artificial intelligence-augmented digital twins for financial operations, innovation, and sustainable development. It focuses on AI and digital twin technologies to furnish solutions for the current industrial revolution including the Metaverse. Henceforth, this book aims to encourage authors to submit multi-disciplinary chapters indicating the current scholarly challenges about the applications and potential of artificial intelligence and digital twins in accounting, finance, and banking.

¿Vehicle Vibrations: Linear and Nonlinear Analysis, Optimization, and Design is a self-contained textbook that offers complete coverage of vehicle vibration topics from basic to advanced levels. Written and designed to be used for automotive and mechanical engineering courses related to vehicles, the text provides students, automotive engineers, and research scientists with a solid understanding of the principles and application of vehicle vibrations from an applied viewpoint. Coverage includes everything you need to know to analyze and optimize a vehicle¿s vibration, including vehicle vibration components, vehicle vibration analysis, flat ride vibration, tire-road separations, and smart suspensions.

This book keeps an eye in the direction of applications of advanced and high performance scientific computing in describing the behavior of natural and constructed systems, e.g. chaos, bifurcation, fractal, Lyapunov exponent, period doubling, Poincaré map, strange attractor etc. With the aid of powerful computers the modem theory of chaos and its geometry, the fractals, and attractors are developed. The concepts of object oriented computing are introduced early in the text and steadily expanded as one progresses through the chapters. The beginning of each chapter is of an introductory nature, followed by practical applications, the discussion of numerical results, theoretical investigations on nonlinear stability and convergence.This is the first complete introduction to process modelling and computing that fully integrates software tools ¿ enabling professionals and students to master critical techniques hands on through computer simulations based on the popular MATLAB environment. The book offers a simple tool for all those oscillations that are travelling through the world, helping them discover its hidden beauty.Many applications as well as results of computer simulations are presented. The center of concern is set on existing as well as emerging continuous methods of investigations useful for researchers, engineers and practitioners active in many and often interdisciplinary fields, where physics, electrochemistry, biology and medicine play a key role. Coverage includes:¿ Dynamic behavior of nonlinear systems,¿ Fundamental descriptions of processes exhibiting nonlinear oscillations,¿ Mechanism and function of structures of nonlinear oscillations¿ patterns,¿ Analysis of dynamical oscillations in electric circuits and systems,¿ Artificial intelligence models of natural systems,¿ Nonlinear oscillations in chemistry, biologyand medicine,¿ Oscillations in mechanics and transport systems,¿ Oscillations in fractional-order systems,¿ Energy harvesting systems from the surrounding environment.With an insatiable appetite for exploring the surrounding world and doing research, this book can help readers quickly find ways to use new computers and facilitate the quest for greater knowledge and understanding of reality. The reach of novelty of the book ranges from new mathematical ideas to motivating questions and science issues in many subject areas.

This book reports on advances in applied mechanics research and applications. It covers methods, modeling, and simulation tools for products design, material behavior analysis, and for optimizing production processes. It also reports on cutting-edge techniques for increasing performance of mechanical systems. The book gathers selected contributions to the 11th International Congress for Applied Mechanics (JET¿2022), held on November 16-18, 2022, in Marrakech, Morocco. The congress was organized by the Franco-Maghreb Association of Mechanics and Materials (AF3M) with the close collaboration of the Moroccan Society of Mechanical Sciences (SMSM). Overall, this book gives a special emphasis to theoretical and practical advances in mechanics, supporting sustainable and environmentally friendly development. It covers applications in transportation, building engineering, bioengineering and manufacturing.

This book is a pioneering exploration of a new form of high-frequencyattenuation chamber that has the potential to revolutionize antenna measurementtechniques. The authors present an innovative concept that leverages theclassical principle of changing the polarization of radio waves, eliminatingthe need for traditional non-reflection chambers. By analyzing experimentalresults and searching for the optimal shape and composition of a depolarizationpanel, this monograph provides valuable insights into creating a non-reflectiveenvironment for accurately measuring the directional properties of antennas.The book delves into the methodology of frequency analysis, optimization of thedepolarization panel, and the creation of a measuring workplace using thispanel. It highlights the crucial attenuation phenomenon of suppressingcross-polarization coupling between transmitting and receiving antennas,enabling antenna measurements in any laboratory environment. With its promisingresults and practical applications in antenna technology, this publicationoffers a compelling and cutting-edge approach to antenna measurement that willcaptivate researchers, engineers, and professionals in the field.

This contributed volume explores innovative research in the modeling, simulation, and control of crowd dynamics. Chapter authors approach the topic from the perspectives of mathematics, physics, engineering, and psychology, providing a comprehensive overview of the work carried out in this challenging interdisciplinary research field. The volume begins with an overview of analytical problems related to crowd modeling. Attention is then given to the importance of considering the social and psychological factors that influence crowd behavior ¿ such as emotions, communication, and decision-making processes ¿ in order to create reliable models. Finally, specific features of crowd behavior are explored, including single-file traffic, passenger movement, modeling multiple groups in crowds, and the interplay between crowd dynamics and the spread of disease.Crowd Dynamics, Volume 4 is ideal for mathematicians, engineers, physicists, and other researchers working in the rapidly growing field of modeling and simulation of human crowds.

This book considers a class of ergodic finite controllable Markov's chains. The main idea behind the method, described in this book, is to develop the original discrete optimization problems (or game models) in the space of randomized formulations, where the variables stand in for the distributions (mixed strategies or preferences) of the original discrete (pure) strategies in the use. The following suppositions are made: a finite state space, a limited action space, continuity of the probabilities and rewards associated with the actions, and a necessity for accessibility. These hypotheses lead to the existence of an optimal policy. The best course of action is always stationary. It is either simple (i.e., nonrandomized stationary) or composed of two nonrandomized policies, which is equivalent to randomly selecting one of two simple policies throughout each epoch by tossing a biased coin. As a bonus, the optimization procedure just has to repeatedly solve the time-average dynamic programming equation, making it theoretically feasible to choose the optimum course of action under the global restriction. In the ergodic cases the state distributions, generated by the corresponding transition equations, exponentially quickly converge to their stationary (final) values. This makes it possible to employ all widely used optimization methods (such as Gradient-like procedures, Extra-proximal method, Lagrange's multipliers, Tikhonov's regularization), including the related numerical techniques. In the book we tackle different problems and theoretical Markov models like controllable and ergodic Markov chains, multi-objective Pareto front solutions, partially observable Markov chains, continuous-time Markov chains, Nash equilibrium and Stackelberg equilibrium, Lyapunov-like function in Markov chains, Best-reply strategy, Bayesian incentive-compatible mechanisms, Bayesian Partially Observable Markov Games, bargaining solutions for Nash and Kalai-Smorodinsky formulations, multi-traffic signal-control synchronization problem, Rubinstein's non-cooperative bargaining solutions, the transfer pricing problem as bargaining.

This book offers a careful selection of studies in optimization techniques based on artificial intelligence, applied to inverse problems in radiative transfer. In this book, the reader will find an in-depth exploration of heuristic optimization methods, each meticulously described and accompanied by historical context and natural process analogies.From simulated annealing and genetic algorithms to artificial neural networks, ant colony optimization, and particle swarms, this volume presents a wide range of heuristic methods. Additional approaches such as generalized extreme optimization, particle collision, differential evolution, Luus-Jaakola, and firefly algorithms are also discussed, providing a rich repertoire of tools for tackling challenging problems.While the applications showcased primarily focus on radiative transfer, their potential extends to various domains, particularly nonlinear and large-scale problems where traditional deterministic methods fall short. With clear and comprehensive presentations, this book empowers readers to adapt each method to their specific needs. Furthermore, practical examples of classical optimization problems and application suggestions are included to enhance your understanding.This book is suitable to any researcher or practitioner whose interests lie on optimization techniques based in artificial intelligence and bio-inspired algorithms, in fields like Applied Mathematics, Engineering, Computing, and cross-disciplinary areas.

This book provides the most valuable and updated research on computational and mathematical models in biological systems from influential researchers around the world and contributes to the development of future research guidelines in this topic.Topics include (but are not limited to):modeling infectious and dynamic diseases;regulation of cell function;biological pattern formation;biological networks;tumor growth and angiogenesis;complex biological systems;Monte Carlo methods;Control theory, optimization and their applications

This lecture provides an introduction to transmission line effects in the time domain. Fundamentals including time of flight, impedance discontinuities, proper termination schemes, nonlinear and reactive loads, and crosstalk are considered. Required prerequisite knowledge is limited to conventional circuit theory. The material is intended to supplement standard textbooks for use with undergraduate students in electrical engineering or computer engineering. The contents should also be of value to practicing engineers with interests in signal integrity and high-speed digital design. Table of Contents: Introduction / Solution of the Transmission Line Equations / DC Signals on a Resistively Loaded Transmission Line / Termination Schemes / Equivalent Circuits, Cascaded Lines, and Fan-Outs / Initially-Charged Transmission Lines / Finite Duration Pulses on Transmission Lines / Transmission Lines with Reactive Terminations / Lines with Nonlinear Loads / Crosstalk on Weakly Coupled Transmission Lines

This study guide is designed for students taking a Calculus III course. The textbook includes examples, questions, and practice problems that will help students to review and sharpen their knowledge of the subject and enhance their performance in the classroom. The material covered in the book includes linear algebra and analytical geometry; lines, surfaces, and vector functions in three-dimensional coordinate systems; multiple-variable functions; multiple integrals and their applications; line integrals and their applications. Offering detailed solutions, multiple methods for solving problems, and clear explanations of concepts, this hands-on guide will improve students¿ problem-solving skills and foster a solid understanding of calculus, which will benefit them in all of their calculus-based courses.

Dieses praxisbezogene Fachbuch zeigt die Nutzung von MS Project in allen Phasen eines Projekts. Mithilfe von VBA-Prozeduren erfährt die Nutzung eine deutliche Erweiterung, auch in der Anbindung zu weiteren Office-Anwendungen. Neben den Grundlagen von Project und VBA stellt das Buch deren Nutzung von der Projektidee über die Grob- und Feinplanung von Ressourcen wie Arbeit und Zeit bis hin zur Kontrolle von Fertigstellungsgrad und Meilensteinen dar. Dabei werden immer Möglichkeiten aufgezeigt, die Anwendungen gemäß der eigenen Projektbedürfnisse optimal zu gestalten. Downloads auf der Homepage des Autors helfen beim Einstieg in die Thematik und laden dazu ein, selbst kreativ zu werden.

The book is composed of 15 chapters in total. All chapters presented by the authors (co-authors) are published in the author¿s edition and aim to present an issue on how to achieve more sustainable and more environmentally safe development of modern transport and energy sector. The chapters are grouped into 3 parts. The first part ¿Decisions for alternative energy sources use in modern transport¿ represents novel solutions in alternative energy sources development and implementation in different spheres of the modern transport sector. The second part ¿Solutions for reducing negative impact of energy and transport on environment¿ is devoted to advances in technologies aimed on reducing impact of energy and transport sectors on environment and utilization of waste. The third part of the book ¿Advance in alternative motor fuels technology¿ represents recent developments in chemical technology of alternative fuels production and aspects of modern fuels quality control.

The tuned mass damper is one of the classic dynamic vibration absorbers with effective devices for energy dissipation and vibration reduction. The electromagnetically tuned mass damper system is extensively used for vibration reduction in engineering. A better understanding of the nonlinear dynamics of the electromagnetically tuned mass damper system is very important to optimize the parameters of such systems for vibration reduction. However, until now, one cannot fully understand complex periodic motions in such a nonlinear, electromagnetically tuned mass damper system. In this book, the semi-analytical solutions of periodic motions are presented through period-1, period-3, period-9, and period-12 motions. The corresponding stability and bifurcations of periodic motions are determined. The frequency-amplitude characteristics for bifurcation routes of such higher-order periodic motions are presented. This book helps people better understand the dynamical behaviors of an electromagnetically tuned mass damper system for the new development and design of vibration reduction and energy harvesting systems.

This book presents a compilation of lectures delivered at the São Paulo School of Advanced Sciences on Nonlinear Dynamics, categorized into four groups: parametric resonance, nonlinear modal analysis and model reduction, synchronization, and strongly nonlinear dynamics. Interwoven seamlessly, these groups cover a wide range of topics, from fundamental concepts to practical applications, catering to both introductory and advanced readers. The first group, consisting of chapters 1 and 2, serves as an introduction to the theory of parametric resonance and the dynamics of parametrically excited slender structures. Chapters 3, 4, and 5 form the second group, offering insights into normal forms, nonlinear normal modes, and nonlinear system identification. Chapters 6 and 7 delve into asynchronous modes of structural vibration and master-slave topologies for time signal distribution within synchronous systems, respectively, representing the third group. Finally, the last four chapters tackle the fourth group, exploring nonlinear dynamics of variable mass oscillators, advanced analytical methods for strong nonlinear vibration problems, chaos theory, and dynamic integrity from the perspectives of safety and design. This book harmoniously combines theoretical depth and practical relevance to provide a comprehensive understanding of nonlinear dynamics.

This book gathers peer-reviewed contributions submitted to the 21st European Conference on Mathematics for Industry, ECMI 2021, which was virtually held online, hosted by the University of Wuppertal, Germany, from April 13th to April 15th, 2021. The works explore mathematics in a wide variety of applications, ranging from problems in electronics, energy and the environment, to mechanics and mechatronics. Topics covered include: Applied Physics, Biology and Medicine, Cybersecurity, Data Science, Economics, Finance and Insurance, Energy, Production Systems, Social Challenges, and Vehicles and Transportation.The goal of the European Consortium for Mathematics in Industry (ECMI) conference series is to promote interaction between academia and industry, leading to innovations in both fields. These events have attracted leading experts from business, science and academia, and have promoted the application of novel mathematical technologies to industry. They have also encouraged industrial sectors to share challenging problems where mathematicians can provide fresh insights and perspectives. Lastly, the ECMI conferences are one of the main forums in which significant advances in industrial mathematics are presented, bringing together prominent figures from business, science and academia to promote the use of innovative mathematics in industry.

This book covers the latest advances in Cultural Algorithms, their general framework, different variants, hybridized versions with other meta-heuristic and search techniques, and their applications. Cultural Algorithms are meta-heuristic numerical optimization techniques inspired by the bio-cultural evolutionary theory, in which both types of vertical and horizontal learning behaviors are modeled. The book includes well-briefed basics of optimization and theoretical backgrounds of Cultural Algorithms in its initial chapters and then discusses their applications in different branches of science and engineering. It provides detailed mathematical formulations and algorithmic pseudo-codes of hybridized, extended, and multi-population variants of cultural algorithms. The book will serve the research students, fellows, professors, and industry professionals to implement real-time applications of Cultural Algorithms.

The aim of this book is to educate the beneficiaries of this technology, because there is so little awareness and understanding of what can be achieved with tuned mass dampers and vibration absorbers and of the relatively small increase in mass and complexity in exchange for the tremendous benefit in vibration reduction. It introduces the feedback approach to help understand why these devices work and are very helpful in modeling the devices on complicated structures. The hardware demonstrators are simple and directly scalable to more complicated structures. Once a reader successfully operates the demonstration hardware, the concepts in the book are directly scalable to implementations on very complex structures like airplanes and rockets. A recipe is provided to 3D print most of the parts as well as easy-to-find brackets and sensors. The whole kit can be assembled in an afternoon. The directions will be similar in detail to a DIY magazine article, providing simple, step-by-step procedures. Via app: download the SN More Media app for free, scan a link with play button and access MP4 directly on your smartphone or tablet.

Angriffe aus den eigenen Reihen durch sogenannte Innentäter sind für Unternehmen nur schwer zu erkennen. Unter Innentätern versteht man Personen, die in Unternehmen oder Organisationen vorsätzlich dolose Handlungen vornehmen. Ihnen fällt es aufgrund ihres Wissens über Interna leichter, etablierte Schutzmaßnahmen zu überwinden. Unternehmensinhaber trifft im Rahmen des mehrdeutigen Begriffs unternehmerischer Compliance auch eine Pflicht, in ihrem Betrieb für regelgetreues Verhalten der Beschäftigten zu sorgen. Es besteht insofern ein Spannungsverhältnis zwischen dem Recht auf informationelle Selbstbestimmung des Beschäftigten, welches durch das Datenschutzrecht geschützt wird, und der Pflicht des Arbeitgebers, in seinem Unternehmen für rechtskonformes Verhalten zu sorgen. Gegenstand des Buchs ist daher die Frage, welche Konsequenzen die Datenschutz-Grundverordnung sowie die Gesetzgebung auf nationalstaatlicher Ebene für den Beschäftigtendatenschutz im Allgemeinen sowie für die Umsetzung der neuen Anforderungen bei unternehmensinternen Compliance-Maßnahmen hat.

This book focuses on the fields of neural networks, swarm optimization algorithms, clustering and fuzzy logic. This book describes a hybrid method with three different techniques of intelligence computation: neural networks, optimization algorithms and fuzzy logic. Within the neural network techniques, competitive neural networks (CNNs) are used, for the optimization algorithms technique, we used the fireworks algorithm (FWA), and in the area of fuzzy logic, the Type-1 Fuzzy Inference Systems (T1FIS) and the Interval Type-2 Fuzzy Inference Systems (IT2FIS) were used, with their variants of Mamdani and Sugeno type, respectively. FWA was adapted for data clustering with the goal to help of competitive neural network to find the optimal number of neurons. It is important to mention that two variants were applied to the FWA: dynamically adjust of parameters with Type-1 Fuzzy Logic (FFWA) as the first one and Interval Type-2 (F2FWA) as the second one. Subsequently, based on the outputs of the CNN and with the goal of classification data, we designed Type-1 and Interval Type-2 Fuzzy Inference Systems of Mamdani and Sugeno type. This book is intended to be a reference for scientists and engineers interested in applying a different metaheuristic or an artificial neural network in order to solve optimization and applied fuzzy logic techniques for solving problems in clustering and classification data. This book is also used as a reference for graduate courses like the following: soft computing, swarm optimization algorithms, clustering data, fuzzy classify and similar ones. We consider that this book can also be used to get novel ideas for new lines of research, new techniques of optimization or to continue the lines of the research proposed by the authors of the book.