Maths for engineers Books

Book SynopsisThis book touches upon various aspects of a very interesting, and growing in popularity category of models of dynamical systems. These are the so-called fractional-order systems. Such models are not only relevant for many fields of science and technology, but may also find numerous applications in other disciplines applying the mathematical modelling tools. Thus, the book is intended for a very wide audience of professionals who want to expand their knowledge of systems modelling and its applications.The book includes the selections of papers presented at the International Conference on Fractional Calculus and its Applications organized by the Warsaw University of Technology and was held online on 6–8 September 2021.The International Conference on Fractional Calculus and its Applications (ICFDA) has an almost twenty years history. It started in Bordeaux (France) in 2004, followed by Porto (Portugal) 2006, Istanbul (Turkey) 2008, Badajoz (Spain) 2010, Nanjing (China) 2012, Catania (Italy) 2014, Novi Sad (Serbia) 2016, Amman (Jordan) 2018. Next ICFDA was planned in 2020 in Warsaw (Poland), but COVID-19 pandemic shifted it to 6–8 September 2021. Hence, the organizers were forced to change the form of the conference to the online one.In the volume twenty eight high-quality research papers presented during the ICFDA 2021 eleven Regular Sessions with an additional online Discussion Session are presented. The presented papers are scientifically inspiring, leading to new fruitful ideas. They cover a very broad range of many disciplines. Nowadays, and especially in such a subject as fractional calculus, it is very difficult to assign papers to specific scientific areas. So, many of the papers included have an interdisciplinary character.

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Book SynopsisThis book provides qualitative and quantitative methods to analyze and better understand phenomena that change in space and time. An innovative approach is to incorporate ideas and methods from dynamical systems and equivariant bifurcation theory to model, analyze and predict the behavior of mathematical models. In addition, real-life data is incorporated in the derivation of certain models. For instance, the model for a fluxgate magnetometer includes experiments in support of the model. The book is intended for interdisciplinary scientists in STEM fields, who might be interested in learning the skills to derive a mathematical representation for explaining the evolution of a real system. Overall, the book could be adapted in undergraduate- and postgraduate-level courses, with students from various STEM fields, including: mathematics, physics, engineering and biology.Table of ContentsIntroduction- Algebraic Models.- Discrete Models.- Continuous Models.- Bifurcation Theory.- Network-Based Modeling.- Delay Models.- Spatial-Temporal Models.- Stochastic Models.- Model Reduction and Simplification.

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Book SynopsisThis book features papers focusing on the implementation of new and future technologies, which were presented at the International Conference on New Technologies, Development and Application, held at the Academy of Science and Arts of Bosnia and Herzegovina in Sarajevo on 23rd–25th June 2022. It covers a wide range of future technologies and technical disciplines, including complex systems such as industry 4.0; patents in industry 4.0; robotics; mechatronics systems; automation; manufacturing; cyber-physical and autonomous systems; sensors; networks; control, energy, renewable energy sources; automotive and biological systems; vehicular networking and connected vehicles; intelligent transport, effectiveness and logistics systems, smart grids, nonlinear systems, power, social and economic systems, education, IoT. The book New Technologies, Development and Application V is oriented towards Fourth Industrial Revolution “Industry 4.0”, in which implementation will improve many aspects of human life in all segments and lead to changes in business paradigms and production models. Further, new business methods are emerging, transforming production systems, transport, delivery and consumption, which need to be monitored and implemented by every company involved in the global market.

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Book SynopsisThe book consists of papers on selected topics of dependability analysis in computer systems and networks which were discussed during the 17th DepCoS-RELCOMEX conference held in Wrocław, Poland, from June 27th to July 1st, 2022. Their collection will be an interesting source material for scientists, researchers, practitioners and students who are dealing with design, analysis and engineering of computer systems and networks and must ensure their dependable operation. Being probably the most complex technical systems ever engineered by man (and also, the most dynamically evolving ones), organization of contemporary computer systems and networks cannot be interpreted only as a structure built on the base of unreliable technical resources. Their evaluation must take into account a unique blend of interacting people, networks (together with mobile properties, cloud organization, Internet of Everything, etc.) and a large number of users dispersed geographically and constantly producing an unconceivable number of applications. Research methods being continuously developed for dependability analyses apply newest results of artificial and computational intelligence. Selection of papers in this book illustrates broad range of topics, often multi-disciplinary, which is considered in present-day dependability explorations; it also reveals an increasing role of the latest methods based on machine/deep learning and neural networks in these studies.Table of ContentsMeasures of Outlierness in High-Dimensional Data under Correlation of Features - with Application for Open-Set Classification, Szymon Datko, Henryk Maciejewski, Tomasz Walkowiak.- Multiprocessor tasks scheduling - Fuzzy Logic Approach, Dariusz Dorota.- Nonparametric tracking for time-varying nonlinearities using the kernel method, Purva Joshi, Grzegorz Mzyk.- Embedded systems' startup code optimization, Patryk Pankiewicz.- Influence of accelerometer placement on biometric gaitidentification, Aleksander Sawicki.- An Impact of Data Augmentation Techniques on the Robustness of CNNs, Kamil Szyc.- Dual Learning Model for Multiclass Brain Tumor classification, Rohit Thanki, Sanna Kaddoura.

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Book SynopsisHigh dimensional reference architectures presented here allows confronting and prevailing over the growing complexity of polytopic projects implementations.Such projects should be envisaged giving that conventional systems operations, equipments, methodologies or organizations will reach their limits for self-evolvability in high complexity conditions. Self-evolvable high complexity systems are based on high dimensional polytopic reference architectures.Polytope is the general term of the sequence: point, line, polygon, polyhedron and so on.The polytopic projects are targeting the artificiality, not only for materials where it is well known and applied, but also for biological, cognitive, intelligent and mathematical systems. The book highlights the polytopic projects basic similarity despite the noticeable difference as domains of application. The roads to follow and the algebra of changing roads are emphasized.The book is divided in 9 chapters. Chapter 1 introduces the Polytopic Roadmap to 4D and beyond. The role for the dialogue of processes in duality of the non-Aristotelian Logic of Contradiction and of Included Middle is emphasized for different domains. Chapter 2 refers to chemical systems. Supramolecular chemistry, metal organic frameworks, MOF, and reaction networks, are the examples considered in the frame of polytopic chemistry. Chapter 3 refers to biological systems. Biological dynamical hierarchies and quasi-species are the considered case studies. Technological and scientific projects targeting artificiality for cells and viruses are considered. Chapter 4 refers to cognitive systems. Developmental stages, formal and relational concepts analysis, and neural coding are considered here. The roles of the 4D systems of systems of systems and of conceptual 4D-cube are emphasized. Artificiality for cognitive systems is the object of study.Chapter 5 refers to mathematical systems. Modeling levels and the 4D digital twins are discussed. Hopf monoids as tools for the study of combinations and separations, dual graded graphs and V-models are informally presented. Chapter 6 refers to application of formal concept analysis, FCA, for high dimensional separations, nesting and drug delivery. Chapter 7 refers to polytopic engineering systems as multiscale transfer, distributors-collectors, cyclic operations, middle vessel columns, mixing, assembly and designs. Equipments have been characterized using Polytopic Roadmaps and classified by Periodic Tables. Chapter 8 introduces polytopic industry, economy, society and sustainability. Chapter 9 outlines new domains of interest as arts and architecture, transdisciplinarity, complex systems and unity of sciences and engineering.Polytopic Roadmaps are proposed as Method for experts from various fields to synthesize their thinking and capabilities into new projects implementation to face and surpass high complexity. A repetitive finding of this book is that self-evolvability observed in physical systems is based on the same directed sequence of reference architectures as the self-evolvability of concepts in our mind. Continuing to develop the field of self-evolvable systems and presenting the polytopic roadmaps for 4D and beyond advances in ever growing complexity domains, the book will be useful to engineers, researchers, entrepreneurs and students in different branches of production, complex systems sciences and engineering, ecology and applied mathematics.Table of ContentsRoadmap to 4D and beyond.- Cognitive Systems.- Conceptual Systems.- Prospective.- Index.

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Book SynopsisThis book constitutes the refereed proceedings of the International Conference on Business and Technology (ICBT2021) organized by EuroMid Academy of Business & Technology (EMABT), held in Istanbul, between 06–07 November 2021. In response to the call for papers for ICBT2021, 485 papers were submitted for presentation and ‎inclusion in the proceedings of the conference. After a careful blind refereeing process, 292 papers ‎were selected for inclusion in the conference proceedings from forty countries. Each of these ‎chapters was evaluated through an editorial board, and each chapter was passed through a double-blind peer-review process.‎The book highlights a range of topics in the fields of technology, ‎entrepreneurship, business administration, ‎accounting, and economics that can contribute to business ‎development in countries, such as ‎learning machines, artificial intelligence, big data, ‎deep ‎‎learning, game-based learning, management ‎information system, ‎accounting information ‎system, knowledge management, entrepreneurship, and ‎social enterprise, corporate social responsibility and sustainability, business policy and strategic ‎management, international management and organizations, organizational behavior and HRM, ‎operations management and logistics research, controversial issues in management and organizations, ‎turnaround, corporate entrepreneurship, innovation, legal issues, business ethics, and firm ‎governance, managerial accounting and firm financial affairs, non-traditional research, and creative ‎methodologies.These proceedings are reflecting quality research contributing theoretical and practical implications, for those who are wise to apply the technology within any business sector. It is our hope that the contribution of this book proceedings will be of the academic level which even decision-makers in the various economic and executive-level will get to appreciate.

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Book SynopsisThis book constitutes the refereed proceedings of the International Conference on Business and Technology (ICBT2021) organized by EuroMid Academy of Business & Technology (EMABT), held in Istanbul, between 06–07 November 2021. In response to the call for papers for ICBT2021, 485 papers were submitted for presentation and ‎inclusion in the proceedings of the conference. After a careful blind refereeing process, 292 papers ‎were selected for inclusion in the conference proceedings from forty countries. Each of these ‎chapters was evaluated through an editorial board, and each chapter was passed through a double-blind peer-review process.‎The book highlights a range of topics in the fields of technology, ‎entrepreneurship, business administration, ‎accounting, and economics that can contribute to business ‎development in countries, such as ‎learning machines, artificial intelligence, big data, ‎deep ‎‎learning, game-based learning, management ‎information system, ‎accounting information ‎system, knowledge management, entrepreneurship, and ‎social enterprise, corporate social responsibility and sustainability, business policy and strategic ‎management, international management and organizations, organizational behavior and HRM, ‎operations management and logistics research, controversial issues in management and organizations, ‎turnaround, corporate entrepreneurship, innovation, legal issues, business ethics, and firm ‎governance, managerial accounting and firm financial affairs, non-traditional research, and creative ‎methodologies.These proceedings are reflecting quality research contributing theoretical and practical implications, for those who are wise to apply the technology within any business sector. It is our hope that the contribution of this book proceedings will be of the academic level which even decision-makers in the various economic and executive-level will get to appreciate.

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Book SynopsisThis book constitutes the refereed proceedings of the International Conference on Business and Technology (ICBT2021) organized by EuroMid Academy of Business & Technology (EMABT), held in Istanbul, between 06–07 November 2021. In response to the call for papers for ICBT2021, 485 papers were submitted for presentation and ‎inclusion in the proceedings of the conference. After a careful blind refereeing process, 292 papers ‎were selected for inclusion in the conference proceedings from forty countries. Each of these ‎chapters was evaluated through an editorial board, and each chapter was passed through a double-blind peer-review process.‎The book highlights a range of topics in the fields of technology, ‎entrepreneurship, business administration, ‎accounting, and economics that can contribute to business ‎development in countries, such as ‎learning machines, artificial intelligence, big data, ‎deep ‎‎learning, game-based learning, management ‎information system, ‎accounting information ‎system, knowledge management, entrepreneurship, and ‎social enterprise, corporate social responsibility and sustainability, business policy and strategic ‎management, international management and organizations, organizational behavior and HRM, ‎operations management and logistics research, controversial issues in management and organizations, ‎turnaround, corporate entrepreneurship, innovation, legal issues, business ethics, and firm ‎gerial accounting and firm financial affairs, non-traditional research, and creative ‎methodologies.These proceedings are reflecting quality research contributing theoretical and practical implications, for those who are wise to apply the technology within any business sector. It is our hope that the contribution of this book proceedings will be of the academic level which even decision-makers in the various economic and executive-level will get to appreciate.

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Book SynopsisImportant world institutions, such as the United Nations (UN), the World Health Organization (WHO), the International Energy Agency (IEA), and the Organization for Economic Co-operation and Development (OECD), have publicly recognizing the highly interconnected nature of our world and therefore the relevance of systemic thinking and cybernetics as leading knowledge foundations to deal with the complexity of economic, social, and environmental issues. This recognition was the driving force of the Internet discussions held by participants to the World Organisation of Systems and Cybernetics 18th Congress, which last September 27 to 29(WOSC 2021). More than ever we needed to debate and develop current ontological, epistemological, and methodological approaches to the understanding of the future of humanity.WOSC organized this event in collaboration with the Russian Academy of Sciences (RAS). Scientists of this Academy together with scientists from all over the world made contributions to improving communications beyond particular nation states and regions toward the clarification of global issues like governance, health, education, technology, art, and others. Our aim in WOSC 2021 was bringing together scientists and researchers to collaborative debates at all levels from local communities to global societies. At the end of the Congress, scientists were invited to submit contributions to this Springer Nature book, along the following four themes: firstly, philosophical and methodological foundations for the development of the systems approach and cybernetics; secondly, the cybernetics of society, ecology and governance; thirdly, digital technologies and physical realities merging into a hybrid reality , and fourthly, the transdisciplinarity of systems sciences and cybernetics applied to the further development of knowledge areas, such as education, embodiment of social policies, and the arts. About 25 contributions were accepted for publication in this book. We see this as one of WOSC’s important contribution to the scientific community around the world.

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Book SynopsisThe 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.Table of ContentsPreface.Introduction.Chapter 1 - Semi-Analytical Method.Chapter 2 - Discretization. Chapter 3 - Period 1 motion to chaos.Chapter 4 - Independent period 3 motions.Chapter 5 - Independent period 12 motions.References

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Book SynopsisThe goal of the 2019 conference on Stochastic Processes and Algebraic Structures held in SPAS2019, Västerås, Sweden, from September 30th to October 2nd 2019, was to showcase the frontiers of research in several important areas of mathematics, mathematical statistics, and its applications. The conference was organized around the following topics1. Stochastic processes and modern statistical methods,2. Engineering mathematics,3. Algebraic structures and their applications.The conference brought together a select group of scientists, researchers, and practitioners from the industry who are actively contributing to the theory and applications of stochastic, and algebraic structures, methods, and models. The conference provided early stage researchers with the opportunity to learn from leaders in the field, to present their research, as well as to establish valuable research contacts in order to initiate collaborations in Sweden and abroad. New methods for pricing sophisticated financial derivatives, limit theorems for stochastic processes, advanced methods for statistical analysis of financial data, and modern computational methods in various areas of applied science can be found in this book. The principal reason for the growing interest in these questions comes from the fact that we are living in an extremely rapidly changing and challenging environment. This requires the quick introduction of new methods, coming from different areas of applied science. Advanced concepts in the book are illustrated in simple form with the help of tables and figures. Most of the papers are self-contained, and thus ideally suitable for self-study. Solutions to sophisticated problems located at the intersection of various theoretical and applied areas of the natural sciences are presented in these proceedings. Table of ContentsPart I. Stochastic Processes.- Chapter 1. Albuhayri, M., Engström, C., Malyarenko, A., Ni, Y., Silvestrov, S.: An improved asymptotics of implied volatility in the Gatheral model.- Chapter 2. Jamsher Ali, M., Pärna, K.: Ruin probability for merged risk processes with correlated arrivals.- Chapter 3. Nwe Aye, T., Carlsson, L.: Method Development for Emergent Properties in Stage-Structured Population Models with Stochastic Resource Growth.- Chapter 4. Golomoziy, V.: Computable bounds of exponential moments of simultaneous hitting time for two time-inhomogeneous atomic Markov chains.- Chapter 5. Jin, L., Dimitrov, M, Nim Y.: Valuation and Optimal Strategies for American Options under a Markovian Regime-Switching Model.- Chapter 6. Khusanbaev, Ya.M., Kudratov, Kh.E.: Inequalities for moments of branching processes in a varying environment.- Chapter 7. Kitouni, A., Messaci, F.: A law of the iterated logarithm for the empirical process based upon twice censored data.- Chapter 8. Kolias, P., Papadopoulou, A.: Investigating some attributes of periodicity in DNA sequences via semi-Markov modelling.- Chapter 9. Krasnitskiy, S., Kurchenko, S., Syniavska, O.: Limit Theorems of Baxter Type for Generalized Random Gaussian Processes with Independent Values.- Chapter 10. Lebedev, E., Ponomarov, V., Livinska, H.: On Explicit Formulas of Steady-State Probabilities for the M/M/c/c+m]-Type Retrial Queue.- Chapter 11. Malyarenko, A., Nohrouzian, H.: Testing Cubature Formulae on Wiener Space vs Explicit Pricing Formulae.- Chapter 12. Mishura, Y., Shevchenko, G., Shklyar, S.: Gaussian processes with Volterra kernels.- Chapter 13. Di Nunno, G., Mishura, Y., Ralchenko, K.: Stochastic differential equations driven by additive Volterra--Lévy and Volterra-Gaussian noises.- Chapter 14. Amechi Okeke, G., Abbas, M., Silvestrov, S.: Bochner integrability of the random fixed point of a generalized random operator and almost sure stability of some faster random iterative processes.- Chapter 15. Cruz Rambaud, S.: An Approach to the Absence of Price Bubbles through State-Price Deflators.- Chapter 16. da Silva, J.L., Drumond, C., Streit, L.: Form Factors for Stars Generalized Grey Brownian Motion.- Chapter 17. Silvestrov, D.: Flows of Rare Events for Regularly Perturbed Semi-Markov Processes. Part II. Statistical Methods.- Chapter 18. D’Amico, G., Di Basilio, B., Petroni, F., Gismondi, F.: An econometric analysis of drawdown based measures.- Chapter 19. Anisimov, V., Austin, M.: Forecasting and optimizing patient enrolment in clinical trials under various restrictions.- Chapter 20. Anguzu, C., Engström, C., Kasumba, H., Magero Mango, J.: Algorithms for Recalculating Alpha and Eigenvector Centrality Measures using Graph Partitioning Techniques.- Chapter 21. Kozachenko, Y., Rozora, I.: On statistical properties of the estimator of impulse response function.- Chapter 22. Keikara Muhumuza, A., Malyarenko, A., Silvestrov, S., Mango Magero, J., Kakuba, G.: Connections between the extreme points for Vandermonde determinants and minimizing risk measure in financial mathematics.- Chapter 23. Keikara Muhumuza, A., Malyarenko, A., Lundengard, K., Silvestrov, S., Mango Magero, J., Kakuba, G.: Extreme points of the Vandermonde Determinant and Wishart Ensemble on Symmetric Cones.- Chapter 24. Shchestyuk, N., Tyshenko, S.: Option Pricing and Stochastic Optimization.- Part III. Engineering Mathematics.- Chapter 25. Abela, M.S., Sunil Sharanappa, D.: MHD non-Darcy convective flow and heat transfer over a heated vertical plate embedded in a saturated porous medium in presence of viscous dissipation.- Chapter 26. Arjmand, D.: Numerical upscaling via the wave equation with perfectly matched layers.- Chapter 27. Canpwonyi, S., Carlsson, L.: On the Approximation of Physiologically Structured Population Model with a Three Stage-Structured Population Model in a Grazing System.- Chapter 28. Chandarki, I.M., Singh, B.B.: Homotopy Analysis Method (HAM) for Differential Equations pertaining to the Mixed Convection Boundary-Layer Flow over a Vertical Surface Embedded in a Porous Medium.- Chapter 29. Metri, P.G., Abel, M.S., Sunil Sharanappa, D.: Magnetohydrodynamic Casson nanofluid flow over a Nonlinear Stretching Sheet with Velocity Slip and Convective Boundary Conditions.- Chapter 30. Nankinga, L., Carlsson, L.: A Mathematical Model for Harvesting in a Stage-Structured Cannibalistic System.- Chapter 31. Tawade, J., Metri, P.G.: Mathematical and Computational Analysis of MHD Viscoelastic Fluid Flow and Heat Transfer over Stretching Surface Embedded in a Saturated Porous Medium.- Chapter 32. Tawade, J., Metri, P.G.: Numerical solution of boundary layer flow problem of a Maxwell fluid past a porous stretching surface.- Chapter 33. Umavathi, J.C., Metri, P.G., Silvestrov, S.: Effect of electromagnetic field on mixed convection of two immiscible conducting fluids in a vertical channel.- Chapter 34. Urekar, M.,Djordjević Kozarov, J.: Stochastic Smart Grid Meter for Industry 4.0 - From an Idea to the Practical Prototype.- Chapter 35. Vučković, A., Vučković, D., Perić, M., Raišević, N.: Magnetic force calculation between truncated cone shaped permanent magnet and soft magnetic cylinder using hybrid boundary element method.- Chapter 36. Vujičić, V., Djordjević Kozarov, J., Sovilj, P., Vujičić, B.: Mathematical basis of the stochastic digital measurement method.- Chapter 37. Ögren, M.: Stochastic solutions of Stefan problems.

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Book SynopsisThis book presents the state-of-the-art in supercomputer simulation. It includes the latest findings from leading researchers using systems from the High Performance Computing Center Stuttgart (HLRS) in 2021. The reports cover all fields of computational science and engineering ranging from CFD to computational physics and from chemistry to computer science with a special emphasis on industrially relevant applications. Presenting findings of one of Europe’s leading systems, this volume covers a wide variety of applications that deliver a high level of sustained performance.The book covers the main methods in high-performance computing. Its outstanding results in achieving the best performance for production codes are of particular interest for both scientists and engineers. The book comes with a wealth of color illustrations and tables of results.Table of ContentsPart I Physics.- Part II Molecules, Interfaces, and Solids.- Part III Reactive Flows.- Part IV Computational Fluid Dynamics.- Part V Transport and Climate.- Part VI Computer Science.- Part VII Miscellaneous Topics.

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Book SynopsisThis book provides the current status of research on the application of OR methods to solve emerging and relevant operations management problems. Each chapter is a selected contribution of the IO2021 - XXI Congress of APDIO, the Portuguese Association of Operational Research, held in Figueira da Foz from 7 to 8 November 2021. Under the theme of analytics for a better world, the book presents interesting results and applications of OR cutting-edge methods and techniques to various real-world problems. Of particular importance are works applying nonlinear, multi-objective optimization, hybrid heuristics, multicriteria decision analysis, data envelopment analysis, simulation, clustering techniques and decision support systems, in different areas such as supply chain management, production planning and scheduling, logistics, energy, telecommunications, finance and health. All chapters were carefully reviewed by the members of the scientific program committee.Table of ContentsA. R. Aguiar, T. Ramos, M. Isabel Gomes, Chapter 1 – A Biased Random-Key Genetic Algorithm for the Home Care Routing and Scheduling Problem: exploring the algorithm's configuration process.- B. F. Azevedo, F. Alvelos, Ana Maria A. C. Rocha, T. Brito, José Lima, Ana I. Pereira, Chapter 2 – An Integer Programming Approach for Sensor Location in a Forest Fire Monitoring System.- C. Bessa, R. Duque, A. Jesus, C. Silva, L. Eberle, S. Moniz, Chapter 3 – Capacity allocation incorporating market equity concerns: a Pharmaceutical Supply Chain case study.- I. S. Costa, R. Figueiredo, C. Requejo, Chapter 4 – The Shortest Path in Signed Graphs.- M. Dias, N. Lourenço, C. Silva, S. Moniz, Chapter 5 – The Break Point: A Machine Learning Approach to Web Breaks in Paper Mills.- M. M. Lima, F. Soares de Sousa, E. G. Öztürk, P. F. Rocha, A. M. Rodrigues, J. S. Ferreira, A. C. Nunes, I. C. Lopes, C. Teles Oliveira, Chapter 6 – A resectorization of fire brigades in the north of Portugal.- L. Magalhães, J. S. Guedes, J. Freire de Sousa, Chapter 7 – A Holistic Framework for Increasing Agility in a Production Process.- P. Nascimento, C. Silva, S. Mueller, S. Moniz, Chapter 8 – Nesting and scheduling for additive manufacturing: an approach considering order due dates.- E. Göksu Öztürk, Filipe Soares de Sousa, M. M. Lima, P. F. Rocha, A. M. Rodrigues, J. S. Ferreira, A. C. Nunes, I. C. Lopes, C. Teles Oliveira, Chapter 9 – Developing a System for Sectorization: An Overview.- M. Pascoal, M. T. Godinho, A. Moghanni, Chapter 10 – New models for finding K short and dissimilar paths.- M. T. Pereira, M. Oliveira, F. A. Ferreira, A. Barreiras, L. Carneiro, Chapter 11 – Time Windows Vehicle Routing Problem to on-time transportation of biological products on healthcare centres.- H. S. Rodrigues, Artur M. C. Brito da Cruz, Chapter 12 – The role of communication on the spread of dengue: an optimal control simulation.- A. Torrado, A. Paula Barbosa-Póvoa, Chapter 13 – Towards an Optimized and Socio-Economic Blood Supply Chain Network.- Clara B. Vaz, ngela P. Ferreira, Chapter 14 – A DEA Approach to Evaluate the Performance of the Electric Mobility Deployment in European Countries.- D. B. Viana, B. B. Oliveira, Chapter 15 – The art of the deal: Machine learning based trade promotion evaluation.

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Book SynopsisEconomic development, social sustainability, and environmental protection play a major role in terms of efforts for innovation, digitalization, business, and global development. Today, nations all over the world attempt to accomplish the United Nations Sustainable Development Goals and to ensure sustainable patterns. Combining empirical and theoretical information, this book demonstrates advanced initiatives and concrete examples from universities, research institutes, and companies, regarding cross-cutting issues in sustainable development of a wide range of fields. The major focus in the book is the promotion of quality of life, by means of a more sustainable food production, and improved food security. Additionally, the importance of digital technologies, business policy, social aspects, and corporate governance in ensuring sustainable regional development is studied. This book is a truly interdisciplinary publication, useful to scholars, social movements, practitioners, and members of governmental agencies and private companies.Table of ContentsForecasting Methods as a Tool for Strategic Planning of Sustainable Development of an Agrarian Enterprise.- Development of a Model for System Management of the Regional Entrepreneurial Ecosystem Factors.- Achieving Sustainable Growth of the Grain Product Subcomplex Production on the Basis of the Formation and Development of the Integrated Structures.- Designing a Model of Cryptosecurity of Information in the System of Countering the Spread of COVID-19.- Ensuring Economic Security and Sustainable Development of the Southern Region of Russia.- The Increase of Labour Efficiency and Innovative Regionalization in Russia.- The Development of Social and Industrial Infrastructure of the Agro-Industrial Complex as a Significant Indicator of the Sustainable Development of the Industry.- Informational and Analytical Support for the Sustainable Development of Agribusiness Enterprises.- Human capital development in rural areas from the standpoint of the Sustainable Development Goals (SDGs).

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Book SynopsisGenerating function (GF) is a mathematical technique to concisely represent a known ordered sequence into a simple continuous algebraic function in dummy variable(s). This Second Edition introduces commonly encountered generating functions (GFs) in engineering and applied sciences, such as ordinary GF (OGF), exponential GF (EGF), as also Dirichlet GF (DGF), Lambert GF (LGF), Logarithmic GF (LogGF), Hurwitz GF (HGF), Mittag-Lefler GF (MLGF), etc. This book is intended mainly for beginners in applied science and engineering fields to help them understand single-variable GFs and illustrate how to apply them in various practical problems. Specifically, the book discusses probability GFs (PGF), moment and cumulant GFs (MGF, CGF), mean deviation GFs (MDGF), survival function GFs (SFGF), rising and falling factorial GFs, factorial moment, and inverse factorial moment GFs. Applications of GFs in algebra, analysis of algorithms, bioinformatics, combinatorics, economics, finance, genomics, geometry, graph theory, management, number theory, polymer chemistry, reliability, statistics and structural engineering have been added to this new edition. This book is written in such a way that readers who do not have prior knowledge of the topic can easily follow through the chapters and apply the lessons learned in their respective disciplines.Table of ContentsTypes of Generating Functions.- Operations on Generating Functions.- Generating Functions in Statistics.- Applications of Generating Functions.- Bibliography.

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Book SynopsisThis proceedings book contains research papers that are accepted for presentation at the 16th International Conference on Interdisciplinarity in Engineering—INTER-ENG 2022, which is held on 6–7 October 2022, in the city of Târgu Mureș, Romania. The general scope of the conference "Innovative aspects of Industry 4.0" concepts aims at consolidating the digital future of manufacturing in companies" is propsing a new approach related to the development of a new generation of smart factories grounded on the manufacturing and assembly process digitalization. It is related to advance manufacturing technology, lean manufacturing, sustainable manufacturing, additive manufacturing, manufacturing tools and equipment. It is a leading international professional and scientific forum of great interest for engineers and scientists who can read in this book research works contributions and recent developments as well as current practices in advanced fields of engineering.

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Book Synopsis< div="">This book introduces undergraduate students of engineering and science to applied mathematics essential to the study of many problems. Topics are differential equations, power series, Laplace transforms, matrices and determinants, vector analysis, partial differential equations, complex variables, and numerical methods. Approximately, 160 examples and 1000 homework problems aid students in their study. This book presents mathematical topics using derivations rather than theorems and proofs. This textbook is uniquely qualified to apply mathematics to physical applications (spring-mass systems, electrical circuits, conduction, diffusion, etc.), in a manner that is efficient and understandable. This book is written to support a mathematics course after differential equations, to permit several topics to be covered in one semester, and to make the material comprehensible to undergraduates. An Instructor Solutions Manual, and also a Student Solutions Manual that provides solutions to select problems, is available.^Table of ContentsDocument Attached

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Book SynopsisThis 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.Table of ContentsControllable Markov Chains.- Multiobjective Control.- Partially Observable Markov Chains.- Continuous-Time Markov Chains.- Nash and Stackelberg Equilibrium.- Best-Reply Strategies in Repeated Games.- Mechanism design.- Joint Observer and Mechanism Design.- Bargaining Games or How to Negotiate.- Multi-Traffic Signal-Control Synchronization.- Non-cooperative bargaining with unsophisticated agents.- Transfer Pricing as Bargaining.- Index.

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Book SynopsisThis study guide is designed for students taking a Calculus II 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 applications of integration, sequences and series and their applications, polar coordinate systems, and complex numbers. 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 coursesTable of ContentsChapter 1: Problems: Applications of integration.- Chapter 2: Solutions of Problems: Applications of integration.- Chapter 3: Problems: Sequences and series and their applications.- Chapter 4: Solutions of Problems: Sequences and series and their applications.- Chapter 5: Problems: Polar coordinate system.- Chapter 6: Solutions of Problems: Polar coordinate system.- Chapter 7: Problems: Complex numbers.- Chapter 8: Solutions of Problems: Complex numbers.

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Book SynopsisChapter 1 Cubic Systems with Two different Product Structures.- Chapter 2 Parabola-saddle and Saddle-source (sink) Singularity.-  Chapter 3 Inflection-source (sink) flows and parabola-saddles.- Chapter 4Saddle-source (sink) with hyperbolic flow singularity.- Chapter 5 Equilibrium matrices with hyperbolic flows.

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Book SynopsisThis book contains four keynote abstracts and 83 best peer-reviewed papers selected from the 179 submissions at the 2nd International Conference on Advances in ICT (ICTA 2023), which share research results and practical applications in ICT research and education. Technological changes and digital transformation that have taken place over the past decade have had significant impacts on all economic and social sectors. Information and Communication Technology (ICT) in general and artificial intelligence (AI) in particular have driven socio-economic growth. The topics cover all ICT-related areas and their contributions to socio-economic development, focusing on the most advanced technologies, such as AI. Researchers and practitioners in academia and industry use the books as a valuable reference for their research activities, teaching, learning, and advancing current technologies. The Conference is hosted by Thai Nguyen University of Information and Communication Technology (ICTU).Table of ContentsA combination of Active Learning and Deep Learning for improving breast cancer prediction.- A Novel Arm Bone Fracture Detection Using Deep Learning.- A systematic review of Artificial Intelligence in Geographic Information Systems.- Build an effective system for container code recognition.- Building an Efficient Retriever System with Limited Resources.- Deep Learning based Coconut Fruit Maturity Classification.- Enhanced prediction of mRNA subcellular localization using a novel ensemble learning and hybrid approach.

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Book SynopsisStudy of dust devils in a laboratory experiment.- Corner circulation scaling laws of turbulent Rayleigh-Bénard convection in a cubic cell.- Direct numerical simulation of turbulent open channel ?ow: Streamwise turbulence intensity scaling and its relation to large-scale coherent motions.

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Book SynopsisIntroduction The conditions for creation and invention.- Literary Language.- Diagramming Literary Meaning.- Differential Heterogenesis Mutant forms Sensitive bodies.- The Simondonian Concepts of Pre-individual Individual Individuation Becoming and Transduction.- Simondons concepts and art.- Constituting new spaces of possibilities. How does artistic creation play with space(s).- Difference, Differential.- Virtual Actual.- Conclusion.

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Book SynopsisThis book introduces complex analysis and is appropriate for a first course in the subject at typically the third-year University level. It introduces the exponential function very early but does so rigorously. It covers the usual topics of functions, differentiation, analyticity, contour integration, the theorems of Cauchy and their many consequences, Taylor and Laurent series, residue theory, the computation of certain improper real integrals, and a brief introduction to conformal mapping. Throughout the text an emphasis is placed on geometric properties of complex numbers and visualization of complex mappings.Table of ContentsPreface.- Acknowledgments.- Basics of Complex Numbers.- Functions of a Complex Variable.- Differentiation.- Contour Integration.- Cauchy Theory.- Series.- Residues.- Conformal Mapping.- Author's Biography.- Index.

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Book SynopsisSupervised ML-based Multi-Criteria For Detecting Malicious Nodes in FANET.- A semi-decentralized congestion-free multi-path energy routing for P2P energy trading systems.- Privacy-Preserving Intrusion Detection using FedSplit Learning.- Unveiling Human Activity Patterns in Smart Cities through a CNN-LSTM Approach.- Material Property Prediction with CNN-LSTM Hybrid Models and Periodic Table as Input Representation.- A Combined MaskRCNN-Watershed Model for Colorectal Gland Segmentation from Histological Images.

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Book SynopsisMultivariate smooth parametrized logistic neural network approximations over infinite domains.- Comparative Analysis of Security Approaches in Cloud Databases.- On the distributions of incomplete ℵ-functions with applications.

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Book Synopsis1.Statistical Relationship Between LAC Experiences and Teaching Performance.- 2.Will goods fly to yard: The moderation effect of time -saving in UTAUT model for drones for delivery.- 3.Economic Burdens Associated with Availing Mental Health Services: A Data Driven Analysis.- 4.Factors affecting students' recommendation intention and brand love to higher education institutions.- 5.How Political Instability Affects Tax Evasion Behavior Among Self-Employed Individuals: A Libyan Case Study.- 6.Interconnection Between Property and Equity in Malaysia: A Preliminary Analysis.- 7.The mediating role of perceived content quality in the relationship between intrinsic religious orientation and customer's satisfaction.- 8.Employment, Labor Force & Productivity Growth  Bangladesh, India, Pakistan & China -An Asian  story of how Labor Landscape is evolving.- 9.Social Marketing Effects on Society Behavior During Pandemic: A focus Social Media.- 10.Measuring the customer experience based on the natural language processing technique of Long Chau Pharmacy Apps on the App Store and Google CH Play.- 11.Exploring the Impact of Student Delight and Engagement on Academic Achievement: A Study of Holistic Learning Experiences....- 80.Advancing HR Decision-Making: Insights from A Decade of Human Resource Analytics Research.- 81.Identifying Key Predictors of ICT Volunteering Behavior: A Focus on Motivational and Technological Drivers.- 82.Descriptive Analysis Social Well-being of Asnaf Students in Higher Education Institution.- 83.Navigating the Issues and Challenges of Accountants' AML Compliance in Malaysia.- 84.The Student as Manager: An AI-Driven Paradigm Shift in Business Education.- 85.Artificial Intelligence and Accounting Education: A Pathway to Achieving SDGs in Malaysia.- 86.Analysing the Evolution of Islamic Stock Market: A Bibliometric Approach87Does Service Quality, Satisfaction and Trust Lead to Students' Loyalty in Open Distance Learning Higher Education?.- 88.Estimating Tourism Revenue through Visitors' Spending: Segmentation Approach Using Decision Tree Analysis.- 89.Examining the Macroeconomic Effects on Household Debt in Malaysia.- 90.The Aftermath of Institutional Rehabilitation: The Malaysian Government's Expectations for the Reintegration of Ex-Child Offenders.- 91.Integrating UTAUT and ECM to Predict Acceptance and User Continuance of Crowdsourcing Platforms: An ACU Model.- 92.Examining the Impact of Personalised AI Language (PAL) Tools on Self-Efficacy in Language Learning to Attain Quality Education (SDG 4).- 93.PERSPECTIVE OF COVID-19: THE MEDIATING EFFECT OF INTENTION ON ZAKAT COMPLIANCE BEHAVIOUR.

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Book Synopsis.- 1 Metamaterials Technology Development: From Fundamental Research to Applications..- 2 Temporal Graph Processing in Databases: Challenges and Solutions..- 3 Isogeometric Finite Elements: Motivation, Implementation and Applications..- 4 Integration Of Flexible Electronics in Automotive Infotainment Bezel, etc.

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Book SynopsisDC programming and DCA: 40 Years of breakthroughs driving Intelligence and Technology.- A DC approach for the chance-constrained portfolio optimization problem.- Consolidation of Biomimicry and Swarm-based Metaheuristic Algorithms with Supervised Learning Neural Network for Function Approximation.

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Book SynopsisIn this "SpringerBrief" the author considers the underlying problems and questions that are common to numerical models of turbulence in different astrophysical systems. Turbulence has emerged as an important research topic in several areas of astrophysics. Understanding and modeling turbulence is particularly important for the dynamics of the interstellar medium, but also for the intergalactic medium, as well as in stars. The advancement of methods for numerical simulations of astrophysical turbulence, however, is still challenging because of gravity, strong compressibility, magnetic fields, and other effects.The book begins with a review of general aspects of numerical simulations of turbulence. In the main part the author presents findings from his numerical studies on astrophysical turbulence and discusses the astrophysical implications. He also explains in detail the numerical schemes utilized.Readers will find that this book offers a compact yet comprehensive introduction.Trade Review“This book provides an interesting and well-written account on an area witnessing encouraging progress.” (H. Muthsam, Monatshefte für Mathematik, 2016)“The primary focus of this book is on the numerical methods and their application in studying the fundamental statistical properties of compressible hydrodynamic turbulence. … The book can be a useful survey and reference source for researchers in the field. Also, it can be a good point of introduction for someone wanting to develop a research capability in this area.” (Stephen Wollman, zbMATH 1317.85004, 2015)Table of ContentsTurbulence theory.- Simulation techniques.- Phenomenology and statistics.- Complex processes.

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Book SynopsisThis new edition is a concise introduction to the basic methods of computational physics. Readers will discover the benefits of numerical methods for solving complex mathematical problems and for the direct simulation of physical processes. The book is divided into two main parts: Deterministic methods and stochastic methods in computational physics. Based on concrete problems, the first part discusses numerical differentiation and integration, as well as the treatment of ordinary differential equations. This is extended by a brief introduction to the numerics of partial differential equations. The second part deals with the generation of random numbers, summarizes the basics of stochastics, and subsequently introduces Monte-Carlo (MC) methods. Specific emphasis is on MARKOV chain MC algorithms. The final two chapters discuss data analysis and stochastic optimization. All this is again motivated and augmented by applications from physics. In addition, the book offers a number of appendices to provide the reader with information on topics not discussed in the main text. Numerous problems with worked-out solutions, chapter introductions and summaries, together with a clear and application-oriented style support the reader. Ready to use C++ codes are provided online.Table of ContentsSome Basic Remarks.- Part I Deterministic Methods.- Numerical Differentiation.- Numerical Integration.- The KEPLER Problem.- Ordinary Differential Equations – Initial Value Problems.- The Double Pendulum.- Molecular Dynamics.- Numerics of Ordinary Differential Equations - Boundary Value Problems.- The One-Dimensional Stationary Heat Equation.- The One-Dimensional Stationary SCHRÖDINGER Equation.- Partial Differential Equations.- Part II Stochastic Methods.- Pseudo Random Number Generators.- Random Sampling Methods.- A Brief Introduction to Monte-Carlo Methods.- The ISING Model.- Some Basics of Stochastic Processes.- The Random Walk and Diffusion Theory.- MARKOV-Chain Monte Carlo and the POTTS Model.- Data Analysis.- Stochastic Optimization.- Appendix: The Two-Body Problem.- Solving Non-Linear Equations. The NEWTON Method.- Numerical Solution of Systems of Equations.- Fast Fourier Transform.- Basics of Probability Theory.- Phase Transitions.- Fractional Integrals and Derivatives in 1D.- Least Squares Fit.- Deterministic Optimization.

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Book Synopsis1: Grundbegriffe.- 1.1 Die reellen Zahlen.- 1.2 Beträge und Ungleichungen.- 1.3 Grundbegriffe aus der Mengenlehre.- 1.4 Mathematische Beweismethoden.- 1.5 Elementare Kombinatorik.- 2: Polynome.- 2.1 Definition und Homer-Schema.- 2.2 Division von Polynomen.- 2.3 Nullstellen von Polynomen.- 3: Analytische Geometrie in Ebene und Raum.- 3.1 Koordinaten und Winkelfunktionen.- 3.2 Geraden in der Ebene.- 3.3 Vektoren im ?2.- 3.4 Vektoren im ?3.- 3.5 Ebenen und Geraden im ?3.- 4: Komplexe Zahlen.- 4.1 Definitionen und Rechenregeln.- 4.2 Wurzeln.- 4.3 Polynome.- 5: Konvergenz und Stetigkeit.- 5.1 Zahlenmengen und Häufungspunkte.- 5.2 Grenzwerte von Zahlenfolgen.- 5.3 Stetigkeit von Funktionen.- 5.4 Eigenschaften stetiger Funktionen.- 6: Differentiation von Funktionen.- 6.1 Begriff der Ableitung und Differentiationsregeln.- 6.2 Umkehrfunktionen.- 6.3 Der Mittelwertsatz der Differentialrechnung.- 6.4 Anwendungen des Mittelwertsatzes.- 7: Reihen.- 7.1 Unendliche Reihen.- 7.2 Potenzreihen.- 7.3 Das Rechnen mit Potenzreihen.- 7.4 Exponentialfunktion und Logarithmus.- 8: Taylor'sche Formel und Potenzreihenentwicklungen.- 8.1 Taylor-Polynome und Taylor-Reihen.- 8.2 Die binomische Reihe.- 8.3 Potenzreihen für Logarithmusfunktionen.- 8.4 Potenzreihen der Kreis- und Hyperbelfunktionen.- 8.5 Weitere Beispiele.- 9: Integration von Funktionen.- 9.1 Grundlegende Definitionen.- 9.2 Sätze über Integrale.- 9.3 Integrationsregeln.- 9.4 Die Integration der rationalen Funktionen.- 9.5 Uneigentliche Integrale.- 9.6 Numerische Integration.- 10: Lineare Algebra.- 10.1 Lineare Vektorräume.- 10.2 Lineare Abbildungen.- 10.3 Matrizen.- 10.4 Determinanten.- 10.5 Lineare Gleichungssysteme.- 10.6 Eigenwert-Theorie und quadratische Formen.- 10.7 Koordinatensysteme und der Tensorbegriff.- 11:Differentialgeometrie auf Kurven.- 11.1 Grundlegende Definitionen; Bogenlänge.- 11.2 Krümmung und Flächeninhalt.- 11.3 Bewegung im Zentralkraftfeld.- 12: Differentiation von Funktionen mehrerer Variabler.- 12.1 Stetigkeit und Differenzierbarkeit.- 12.2 Die Kettenregel, Differentiation höherer Ordnung.- 12.3 Mittelwertsatz und Taylor'sche Formel.- 12.4 Anwendungen.- 13: Integration von Funktionen mehrerer Variabler.- 13.1 Gebietsintegrale.- 13.2 Substitutionsregel für mehrfache Integrale.- 13.3 Beispiele.- 13.4 Kurvenintegrale.- 13.5 Oberflächenintegrale.- 14: Vektoranalysis und Integralsätze.- 14.1 Differentiation von Vektorfeldern.- 14.2 Beispiele.- 14.3 Die Integralsätze von Gauß, Stokes und Green.- 14.4 Physikalische Deutung und Anwendungen.- 15: Gewöhnliche Differentialgleichungen erster Ordnung.- 15.1 Einteilung der Dgln und Beispiele.- 15.2 Geometrische Betrachtungen.- 15.3 Spezielle Dgln erster Ordnung.- 15.4 Existenz- und Eindeutigkeitsfragen.- 15.5 Approximative Lösungsverfahren.- 16: Gewöhnliche Differentialgleichungen höherer Ordnung und Systeme.- 16.1 Umformung von Dgln höherer Ordnung in Systeme erster Ordnung.- 16.2 Spezielle Dgln zweiter Ordnung.- 16.3 Lineare Differentialgleichungen.- 16.4 Lineare Dgln mit konstanten Koeffizienten.- 16.5 Lineare Systeme von Dgln.- 16.6 Approximative Lösungsverfahren.- 17: Rand- und Eigenwertprobleme gewöhnlicher Differentialgleichungen.- 17.1 Beispiele von Randwertaufgaben.- 17.2 Lineare Randwertprobleme.- 17.3 Eigenwertprobleme.- 17.4 Numerische Lösungsverfahren.- 18: Fourier-Reihen.- 18.1 Approximation von Funktionen durch trigonometrische Polynome.- 18.2 Beispiele.- 18.3 Darstellung von Funktionen durch Fourier-Reihen.- 19: Partielle Differentialgleichungen.- 19.1 Klassifizierung und Beispielepartieller Dgln 2. Ordnung.- 19.2 Die Poisson-Gleichung.- 19.3 Die Wellengleichung.- 19.4 Die Wärmeleitungsgleichung.- 19.5 Partielle Dgln erster Ordnung.- 19.6 Die Gleichungen der Hydrodynamik.- 20: Funktionen einer komplexen Veränderlichen.- 20.1 Differentiation, holomorphe Funktionen.- 20.2 Integration der holomorphen Funktionen.- 20.3 Der Residuensatz mit Anwendungen.- 20.4 Potenzreihen und Laurent-Reihen.- 20.5 Die Integralformeln von Cauchy.- 20.6 Konforme Abbildungen.- 21: Grundbegriffe der Variationsrechnung.- 21.1 Beispiele von Variationsaufgaben.- 21.2 Erste Variation und Euler'sche Gleichung.- 21.3 Lösung von Variationsaufgaben.- Anhang über numerische Methoden.- A 1 Interpolatorische Quadratur.- A 2 Iterative Lösung linearer Gleichungssysteme.- A 3 Iterative Berechnung von Eigenwerten und Eigenvektoren.- A 4 Verfahren vom Runge-Kutta-Typ zur numerischen Lösung gewöhnlicher Differentialgleichungen.- Symbolverzeichnis.Table of Contents1: Grundbegriffe.- 1.1 Die reellen Zahlen.- 1.2 Beträge und Ungleichungen.- 1.3 Grundbegriffe aus der Mengenlehre.- 1.4 Mathematische Beweismethoden.- 1.5 Elementare Kombinatorik.- 2: Polynome.- 2.1 Definition und Homer-Schema.- 2.2 Division von Polynomen.- 2.3 Nullstellen von Polynomen.- 3: Analytische Geometrie in Ebene und Raum.- 3.1 Koordinaten und Winkelfunktionen.- 3.2 Geraden in der Ebene.- 3.3 Vektoren im ?2.- 3.4 Vektoren im ?3.- 3.5 Ebenen und Geraden im ?3.- 4: Komplexe Zahlen.- 4.1 Definitionen und Rechenregeln.- 4.2 Wurzeln.- 4.3 Polynome.- 5: Konvergenz und Stetigkeit.- 5.1 Zahlenmengen und Häufungspunkte.- 5.2 Grenzwerte von Zahlenfolgen.- 5.3 Stetigkeit von Funktionen.- 5.4 Eigenschaften stetiger Funktionen.- 6: Differentiation von Funktionen.- 6.1 Begriff der Ableitung und Differentiationsregeln.- 6.2 Umkehrfunktionen.- 6.3 Der Mittelwertsatz der Differentialrechnung.- 6.4 Anwendungen des Mittelwertsatzes.- 7: Reihen.- 7.1 Unendliche Reihen.- 7.2 Potenzreihen.- 7.3 Das Rechnen mit Potenzreihen.- 7.4 Exponentialfunktion und Logarithmus.- 8: Taylor’sche Formel und Potenzreihenentwicklungen.- 8.1 Taylor-Polynome und Taylor-Reihen.- 8.2 Die binomische Reihe.- 8.3 Potenzreihen für Logarithmusfunktionen.- 8.4 Potenzreihen der Kreis- und Hyperbelfunktionen.- 8.5 Weitere Beispiele.- 9: Integration von Funktionen.- 9.1 Grundlegende Definitionen.- 9.2 Sätze über Integrale.- 9.3 Integrationsregeln.- 9.4 Die Integration der rationalen Funktionen.- 9.5 Uneigentliche Integrale.- 9.6 Numerische Integration.- 10: Lineare Algebra.- 10.1 Lineare Vektorräume.- 10.2 Lineare Abbildungen.- 10.3 Matrizen.- 10.4 Determinanten.- 10.5 Lineare Gleichungssysteme.- 10.6 Eigenwert-Theorie und quadratische Formen.- 10.7 Koordinatensysteme und der Tensorbegriff.- 11: Differentialgeometrie auf Kurven.- 11.1 Grundlegende Definitionen; Bogenlänge.- 11.2 Krümmung und Flächeninhalt.- 11.3 Bewegung im Zentralkraftfeld.- 12: Differentiation von Funktionen mehrerer Variabler.- 12.1 Stetigkeit und Differenzierbarkeit.- 12.2 Die Kettenregel, Differentiation höherer Ordnung.- 12.3 Mittelwertsatz und Taylor’sche Formel.- 12.4 Anwendungen.- 13: Integration von Funktionen mehrerer Variabler.- 13.1 Gebietsintegrale.- 13.2 Substitutionsregel für mehrfache Integrale.- 13.3 Beispiele.- 13.4 Kurvenintegrale.- 13.5 Oberflächenintegrale.- 14: Vektoranalysis und Integralsätze.- 14.1 Differentiation von Vektorfeldern.- 14.2 Beispiele.- 14.3 Die Integralsätze von Gauß, Stokes und Green.- 14.4 Physikalische Deutung und Anwendungen.- 15: Gewöhnliche Differentialgleichungen erster Ordnung.- 15.1 Einteilung der Dgln und Beispiele.- 15.2 Geometrische Betrachtungen.- 15.3 Spezielle Dgln erster Ordnung.- 15.4 Existenz- und Eindeutigkeitsfragen.- 15.5 Approximative Lösungsverfahren.- 16: Gewöhnliche Differentialgleichungen höherer Ordnung und Systeme.- 16.1 Umformung von Dgln höherer Ordnung in Systeme erster Ordnung.- 16.2 Spezielle Dgln zweiter Ordnung.- 16.3 Lineare Differentialgleichungen.- 16.4 Lineare Dgln mit konstanten Koeffizienten.- 16.5 Lineare Systeme von Dgln.- 16.6 Approximative Lösungsverfahren.- 17: Rand- und Eigenwertprobleme gewöhnlicher Differentialgleichungen.- 17.1 Beispiele von Randwertaufgaben.- 17.2 Lineare Randwertprobleme.- 17.3 Eigenwertprobleme.- 17.4 Numerische Lösungsverfahren.- 18: Fourier-Reihen.- 18.1 Approximation von Funktionen durch trigonometrische Polynome.- 18.2 Beispiele.- 18.3 Darstellung von Funktionen durch Fourier-Reihen.- 19: Partielle Differentialgleichungen.- 19.1 Klassifizierung und Beispiele partieller Dgln 2. Ordnung.- 19.2 Die Poisson-Gleichung.- 19.3 Die Wellengleichung.- 19.4 Die Wärmeleitungsgleichung.- 19.5 Partielle Dgln erster Ordnung.- 19.6 Die Gleichungen der Hydrodynamik.- 20: Funktionen einer komplexen Veränderlichen.- 20.1 Differentiation, holomorphe Funktionen.- 20.2 Integration der holomorphen Funktionen.- 20.3 Der Residuensatz mit Anwendungen.- 20.4 Potenzreihen und Laurent-Reihen.- 20.5 Die Integralformeln von Cauchy.- 20.6 Konforme Abbildungen.- 21: Grundbegriffe der Variationsrechnung.- 21.1 Beispiele von Variationsaufgaben.- 21.2 Erste Variation und Euler’sche Gleichung.- 21.3 Lösung von Variationsaufgaben.- Anhang über numerische Methoden.- A 1 Interpolatorische Quadratur.- A 2 Iterative Lösung linearer Gleichungssysteme.- A 3 Iterative Berechnung von Eigenwerten und Eigenvektoren.- A 4 Verfahren vom Runge-Kutta-Typ zur numerischen Lösung gewöhnlicher Differentialgleichungen.- Symbolverzeichnis.

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Book SynopsisEs macht wenig Sinn, gerade wenn man an die Schulen denkt, Numerische Mathematik als Selbstzweck zu präsentieren. Wo ist der Sinn von Interpolation, Approximation und der Lösung linearer Systeme, wenn man nicht weiß, in welch vielfältigen Problemen diese Techniken anwendbar sind? Bei der Suche nach Anwendungen stößt man auf die Modellierung technischer, biologischer und ökonomischer Fragen. Des Weiteren muss das Modell in irgendeiner Form auf einem Rechner abgebildet werden, wozu man einige Kenntnisse aus der Informatik benötigt.Table of ContentsModellbildung oder: Wie hätte Leonardo modelliert? - Wie schnell wächst Fußpilz? - Wie wirtschaftlich ist mein Betrieb? - Wie sendet Asterix Geheimbotschaften an Teefax? - Was haben Tomographie und Wasserleitungen gemeinsam? - Wie fließt der Straßenverkehr? - Dem Zufall keine Chance? - Wie fängt der Hai die Beute?

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Book SynopsisNothing new had been done in Logic since Aristotle! -KurtGodel .. (1906-1978) Fuzzyimplicationsareoneof themain operationsinfuzzy logic.Theygeneralize the classical implication, which takes values in {0,1}, to fuzzy logic, where the truth values belong to the unit interval [0,1]. In classical logic the implication canbede?nedindi?erentways.Threeofthesehavecometo assumegreatert- oreticalimportance,viz. the usual materialimplication from the Kleene algebra, the implication obtained as the residuum of the conjunction in Heyting algebra (also called pseudo-Boolean algebra) in the intuitionistic logic framework and the implication (also called as 'Sasaki arrow') in the setting of quantum logic. Interestingly, despite their di?ering de?nitions, their truth tables are identical in classical case. However, the natural generalizations of the above de?nitions in the fuzzy logic framework are not identical. This diversity is more a boon than a bane and has led to some intensive research on fuzzy implications for close to three decades. It will be our endeavor to cover the various works churned out in this period to su?cient depth and allowable breadth in this treatise. In the forewordto Klir andYuan's book[147],ProfessorLot?A. Zadehstates the following: "The problem is that the term 'fuzzy logic' has two di?erent meanings.Table of ContentsAn Introduction to Fuzzy Implications.- An Introduction to Fuzzy Implications.- I: Analytical Study of Fuzzy Implications.- Fuzzy Implications from Fuzzy Logic Operations.- Fuzzy Implications from Generator Functions.- Intersections between Families of Fuzzy Implications.- Fuzzy Implications from Uninorms.- II: Algebraic Study of Fuzzy Implications.- Algebraic Structures of Fuzzy Implications.- Fuzzy Implications and Some Functional Equations.- III: Applicational Study of Fuzzy Implications.- Fuzzy Implications in Approximate Reasoning.

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Book SynopsisDieses Lehrbuch behandelt die zentralen Themen der Linearen Algebra einschließlich ihrer Anwendungen. Neben einer systematischen Einführung der Rechenoperationen mit Vektoren und Matrizen werden entsprechende Rechengesetze angegeben, und es wird erklärt, warum diese gelten. Zahlreiche sehr ausführlich vorgerechnete Beispiele machen das Lehrbuch zu einer wertvollen Basis für das Selbststudium oder zur Vorbereitung auf Prüfungen. Viele dieser Beispiele geben außerdem einen Einblick, welche Problemstellungen mittels der Vektor- und Matrizenrechnung behandelt werden können. Neben allgemeinen Lösungsstrategien für lineare Gleichungssysteme werden Lösungsalgorithmen diskutiert, welche auf spezifische Anwendungsgebiete abgestimmt sind – z. B. Algorithmen zur Lösung von tridiagonalen Gleichungssystemen, von Gleichungssystemen mit einer symmetrischen, positiv definiten Matrix und von Gleichungssystemen, die in der Ausgleichungsrechnung auftreten. Für eine ganze Reihe von Problemen wie der Lösung linearer Gleichungssysteme, der Berechnung von Determinanten und der Berechnung der Inversen einer Matrix werden verschiedene Algorithmen vorgestellt. Bei der Nutzung dieser unterschiedlichen Algorithmen zeigt sich, dass manche davon eine sehr hohe Rechenzeit erfordern, während man mit anderen das Rechenergebnis schon nach einer sehr geringen Rechenzeit erhält. Um einschätzen zu können, welche der Algorithmen wann bevorzugt eingesetzt werden sollten, wird für viele Algorithmen eine Analyse des Aufwandes an Rechenoperationen durchgeführt. Der Inhalt Vektoren – Matrizen – Rechnen mit Vektoren und Matrizen – allgemeine Lösungsalgorithmen für lineare Gleichungssysteme – Lösungsalgorithmen für spezielle Gleichungssysteme Die Zielgruppen Studierende der Natur- und IngenieurwissenschaftenTable of ContentsVektoren.- Matrizen und lineare Gleichungssysteme.- Index.- Literaturverzeichnis.

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Book SynopsisDieses Lehr- und Übungsbuch stellt kurz und prägnant mit technischen Anwendungsbeispielen die Grundlagen der Vektorrechnung und Analytischen Geometrie dar. Es wird besonders auf die aus Sicht des Autors für die Zielgruppe wichtigen Teilgebiete eingegangen. Das Buch richtet sich an Schüler und Studierende an beruflichen und technischen Gymnasien sowie an beruflichen Oberschulen und Fachoberschulen. Es ist auch gut geeignet für den Übergang zu Fachhochschulen und Hochschulen für angewandte Wissenschaften im Bereich Technik. Dieses Werk ist eine Ergänzung zum bereits vorliegenden Band 1 Analysis.Table of ContentsVektorrechnung.- Analytische Geometrie.- Lösungen der Aufgaben.

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Book SynopsisDas Buch in der vollständig überarbeiteten und erweiterten vierten Auflage eignet sich sehr gut als Lehrbuch und zum Selbststudium. Mathematische Grundthemen werden fundiert – zugleich anschaulich und leicht verständlich behandelt; auf umständliche Beweisführung wird weitgehend verzichtet. Die große Anzahl von durchgerechneten Beispielen und die umfangreiche Aufgabensammlung mit Lösungen gestatten Studierenden, den Stoff zu festigen und sich optimal auf die Prüfung vorzubereiten. Zahlreiche Anwendungsbeispiele aus technischen Gebieten machen den effektiven Einsatz der Mathematik in der Praxis transparent.Table of ContentsGrundwissen.- Elementare Funktionen.- Differentialrechnung.- Integralrechnung.- Matrizen und lineare Gleichungssysteme.- Vektorrechnung.- Koordinatentransformation.- Elementare analytische Geometrie.- Stochastik.- Gewöhnliche Differentialgleichungen.- Fourier-Reihen.- Multivariable Differentialrechnung.- Partielle Differentialgleichungen.- Eigenwertaufgaben.- Lösung von nichtlinearen Gleichungen.- Lösungsalgorithmen für lineare Gleichungssysteme.- Numerische Lösung gewöhnlicher Differentialgleichungen.- Komplexe Zahlen.- Mathematik mit Maple.- Ausgewählte Formeln und Beziehungen.

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Book SynopsisDas Buch zeigt Theorie und praktische Anwendungen im Bereich des Computational Engineering (berechnendes Ingenieurwesen) für elektrodynamische Anwendungen. Es illustriert sowohl die mathematischen Modelle wie auch die zugehörigen Simulationsmethoden für die verschiedenen Ingenieursanwendungen. Außerdem präsentiert es Strategien zur Verbesserung der numerischen Methoden wie z. B. Zeit-Raum-Verfahren, hyperbolische Löser, Multiskalenlöser oder strukturerhaltende Verfahren sowie Kopplungsverfahren für elektrodynamische und hydrodynamische Modelle auf verschiedenen Zeit- und Raumskalen. Dabei werden Ansätze zur Zerlegung in einfachere und effizient lösbare Teilprobleme vorgestellt. Gerade im Bereich der Multikomponenten- und Multiskalenmodelle bei komplizierten Ingenieursproblemen sind solche neuartigen Multiskalenverfahren wichtig. Weiter werden auch stochastische Modelle im Bereich der Partikelmodelle und deren Einbindung in deterministische Modelle besprochen. Diese neueren Problemstellungen brauchen iterative Löser zur Kopplung der verschiedenen Zeit- und Raumskalen. Die umfangreichen Beispiele aus dem Bereich der Elektrodynamik (inkl. elektromagnetische Felder, Antennenmodelle, Teilchenmodelle im Bereich der Plasmasimulation) geben dem Leser einen Überblick zu den aktuellen Themen und deren praktischer Umsetzung in spätere Simulationsprogramme.Table of ContentsEinleitung und Überblick - Motivation und Grundlagen - Numerische Verfahren: Diskretisierungs- und Lösungsverfahren - Ergänzenden Numerische Verfahren: Zerlegungsverfahren und Parallelisierung - Anwendungen in der Elektrodynamik - Weitere Anwendungen im Bereich des Partikel-Transport und Umsetzung von Modellen bis zum Programm-Code - Zusammenfassung

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Book SynopsisAngriffe 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.Table of ContentsEinführung.- Bedeutung von compliance im unternehmen.- Screenings auf basis der anomalieerkennung.- Rechtlicher rahmen für maßnahmen der mitarbeiterüberwachung im rahmen unternehmerischer compliance auf ebene der grundrechte sowie der emrk.- Regelung des beschäftigtendatenschutzes nach der dsgvo.- Allgemeine anforderungen der dsgvo und des bdsg an anomaliebasierte screenings von mitarbeitern.- Beweisverwertung vor den arbeitsgerichten.- Mitbestimmung des betriebsrats.- Fazit

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Book Synopsis

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Book Synopsis

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Book Synopsis

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Book Synopsis

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