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Accelerated Life Testing of One-shot Devices: Data Collection and Analysis
by Narayanaswamy Balakrishnan Man Ho Ling Hon Yiu SoProvides authoritative guidance on statistical analysis techniques and inferential methods for one-shot device life-testing Estimating the reliability of one-shot devices—electro-expolsive devices, fire extinguishers, automobile airbags, and other units that perform their function only once—poses unique analytical challenges to conventional approaches. Due to how one-shot devices are censored, their precise failure times cannot be obtained from testing. The condition of a one-shot device can only be recorded at a specific inspection time, resulting in a lack of lifetime data collected in life-tests. Accelerated Life Testing of One-shot Devices: Data Collection and Analysis addresses the fundamental issues of statistical modeling based on data collected from accelerated life-tests of one-shot devices. The authors provide inferential methods and procedures for planning accelerated life-tests, and describe advanced statistical techniques to help reliability practitioners overcome estimation problems in the real world. Topics covered include likelihood inference, competing-risks models, one-shot devices with dependent components, model selection, and more. Enabling readers to apply the techniques to their own lifetime data and arrive at the most accurate inference possible, this practical resource: Provides expert guidance on comprehensive data analysis of one-shot devices under accelerated life-tests Discusses how to design experiments for data collection from efficient accelerated life-tests while conforming to budget constraints Helps readers develops optimal designs for constant-stress and step-stress accelerated life-tests, mainstream life-tests commonly used in reliability practice Includes R code in each chapter for readers to use in their own analyses of one-shot device testing data Features numerous case studies and practical examples throughout Highlights important issues, problems, and future research directions in reliability theory and practice Accelerated Life Testing of One-shot Devices: Data Collection and Analysis is essential reading for graduate students, researchers, and engineers working on accelerated life testing data analysis.
A Textbook of Graph Theory (Universitext)
by R. Balakrishnan K. RanganathanThis second edition includes two new chapters: one on domination in graphs and the other on the spectral properties of graphs, the latter including a discussion on graph energy. The chapter on graph colorings has been enlarged, covering additional topics such as homomorphisms and colorings and the uniqueness of the Mycielskian up to isomorphism. This book also introduces several interesting topics such as Dirac's theorem on k-connected graphs, Harary-Nashwilliam's theorem on the hamiltonicity of line graphs, Toida-McKee's characterization of Eulerian graphs, the Tutte matrix of a graph, Fournier's proof of Kuratowski's theorem on planar graphs, the proof of the nonhamiltonicity of the Tutte graph on 46 vertices, and a concrete application of triangulated graphs.
A Textbook of Graph Theory (Universitext)
by R. Balakrishnan K. RanganathanHere is a solid introduction to graph theory, covering Dirac's theorem on k-connected graphs, Harary-Nashwilliam's theorem on the hamiltonicity of line graphs, Toida-McKee's characterization of Eulerian graphs, Fournier's proof of Kuratowski's theorem on planar graphs, and more. The book does not presuppose deep knowledge of any branch of mathematics, but requires only the basics of mathematics.
Foundations of Discrete Mathematics with Algorithms and Programming
by R. Balakrishnan Sriraman SridharanDiscrete Mathematics has permeated the whole of mathematics so much so it has now come to be taught even at the high school level. This book presents the basics of Discrete Mathematics and its applications to day-to-day problems in several areas. This book is intended for undergraduate students of Computer Science, Mathematics and Engineering. A number of examples have been given to enhance the understanding of concepts. The programming languages used are Pascal and C.
Mathematical Physics: Applications and Problems
by V. BalakrishnanThis textbook is aimed at advanced undergraduate and graduate students interested in learning the fundamental mathematical concepts and tools widely used in different areas of physics. The author draws on a vast teaching experience, and presents a comprehensive and self-contained text which explains how mathematics intertwines with and forms an integral part of physics in numerous instances. Rather than emphasizing rigorous proofs of theorems, specific examples and physical applications (such as fluid dynamics, electromagnetism, quantum mechanics, etc.) are invoked to illustrate and elaborate upon the relevant mathematical techniques. The early chapters of the book introduce different types of functions, vectors and tensors, vector calculus, and matrices. In the subsequent chapters, more advanced topics like linear spaces, operator algebras, special functions, probability distributions, stochastic processes, analytic functions, Fourier series and integrals, Laplace transforms, Green's functions and integral equations are discussed. The book also features about 400 exercises and solved problems interspersed throughout the text at appropriate junctures, to facilitate the logical flow and to test the key concepts. Overall this book will be a valuable resource for a wide spectrum of students and instructors of mathematical physics.
Data Intensive Industrial Asset Management: IoT-based Algorithms and Implementation
by Farhad Balali Jessie Nouri Adel Nasiri Tian ZhaoThis book presents a step by step Asset Health Management Optimization Approach Using Internet of Things (IoT). The authors provide a comprehensive study which includes the descriptive, diagnostic, predictive, and prescriptive analysis in detail. The presentation focuses on the challenges of the parameter selection, statistical data analysis, predictive algorithms, big data storage and selection, data pattern recognition, machine learning techniques, asset failure distribution estimation, reliability and availability enhancement, condition based maintenance policy, failure detection, data driven optimization algorithm, and a multi-objective optimization approach, all of which can significantly enhance the reliability and availability of the system.
Excursions in Harmonic Analysis, Volume 4: The February Fourier Talks at the Norbert Wiener Center (Applied and Numerical Harmonic Analysis)
by Radu Balan Matthew Begué John J. Benedetto Wojciech Czaja Kasso A. OkoudjouThis volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2013. Containing cutting-edge results by an impressive array of mathematicians, engineers and scientists in academia, industry and government, it will be an excellent reference for graduate students, researchers and professionals in pure and applied mathematics, physics and engineering. Topics covered include: Special Topics in Harmonic AnalysisApplications and Algorithms in the Physical SciencesGabor TheoryRADAR and Communications: Design, Theory, and ApplicationsThe February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.
Excursions in Harmonic Analysis, Volume 3: The February Fourier Talks at the Norbert Wiener Center (Applied and Numerical Harmonic Analysis)
by Radu Balan Matthew J. Begué John J. Benedetto Wojciech Czaja Kasso A. OkoudjouThis volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2013. Containing cutting-edge results by an impressive array of mathematicians, engineers, and scientists in academia, industry, and government, it will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, physics, and engineering. Topics covered include· spectral analysis and correlation;· radar and communications: design, theory, and applications;· sparsity · special topics in harmonic analysis.The February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.
Excursions in Harmonic Analysis, Volume 5: The February Fourier Talks at the Norbert Wiener Center (Applied and Numerical Harmonic Analysis)
by Radu Balan John J. Benedetto Wojciech Czaja Matthew Dellatorre Kasso A. OkoudjouThis volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2016. Containing cutting-edge results by an impressive array of mathematicians, engineers, and scientists in academia, industry and government, it will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, physics, and engineering. Topics covered include:Theoretical harmonic analysisImage and signal processingQuantizationAlgorithms and representationsThe February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.
Jet Single-Time Lagrange Geometry and Its Applications
by Vladimir Balan Mircea NeaguDevelops the theory of jet single-time Lagrange geometry and presents modern-day applications Jet Single-Time Lagrange Geometry and Its Applications guides readers through the advantages of jet single-time Lagrange geometry for geometrical modeling. With comprehensive chapters that outline topics ranging in complexity from basic to advanced, the book explores current and emerging applications across a broad range of fields, including mathematics, theoretical and atmospheric physics, economics, and theoretical biology. The authors begin by presenting basic theoretical concepts that serve as the foundation for understanding how and why the discussed theory works. Subusequent chapters compare the geometrical and physical aspects of jet relativistic time-dependent Lagrange geometry to the classical time-dependent Lagrange geometry. A collection of jet geometrical objects are also examined such as d-tensors, relativistic time-dependent semisprays, harmonic curves, and nonlinear connections. Numerous applications, including the gravitational theory developed by both the Berwald-Moór metric and the Chernov metric, are also presented. Throughout the book, the authors offer numerous examples that illustrate how the theory is put into practice, and they also present numerous applications in which the solutions of first-order ordinary differential equation systems are regarded as harmonic curves on 1-jet spaces. In addition, numerous opportunities are provided for readers to gain skill in applying jet single-time Lagrange geometry to solve a wide range of problems. Extensively classroom-tested to ensure an accessible presentation, Jet Single-Time Lagrange Geometry and Its Applications is an excellent book for courses on differential geometry, relativity theory, and mathematical models at the graduate level. The book also serves as an excellent reference for researchers, professionals, and academics in physics, biology, mathematics, and economics who would like to learn more about model-providing geometric structures.
Synchronization: From Simple to Complex (Springer Series in Synergetics)
by Alexander Balanov Natalia Janson Dmitry Postnov Olga SosnovtsevaThis fascinating work is devoted to the fundamental phenomenon in physics – synchronization that occurs in coupled non-linear dissipative oscillators. Examples of such systems range from mechanical clocks to population dynamics, from the human heart to neural networks. The main purpose of this book is to demonstrate that the complexity of synchronous patterns of real oscillating systems can be described in the framework of the general approach, and the authors study this phenomenon as applied to oscillations of different types, such as those with periodic, chaotic, noisy and noise-induced nature.
Der Wille zur Freiheit: Eine gefährliche Reise durch Faschismus und Kommunismus
by Egon BalasDer berühmter Mathematiker Egon Balas nimmt seine Leser mit auf eine erstaunliche Lebensreise: Sie erfahren von großem Mut, grenzenlosem Optimismus und von dem Leid, das Balas auf seinem Weg von Transsilvanien nach Pennsylvania begleitete. Egon Balas wurde 1922 als Sohn ungarisch-jüdischer Eltern geboren, ein Großteil seiner Familie wurde zwischen 1942–1944 ermordet. Nach dem 2. Weltkrieg geriet er in Opposition zum stalinistischen Regime in Rumänien und emigrierte 1966 in die USA. Balas gilt als einer der Pioniere der mathematischen Optimierung.
Disjunctive Programming
by Egon BalasDisjunctive Programming is a technique and a discipline initiated by the author in the early 1970's, which has become a central tool for solving nonconvex optimization problems like pure or mixed integer programs, through convexification (cutting plane) procedures combined with enumeration. It has played a major role in the revolution in the state of the art of Integer Programming that took place roughly during the period 1990-2010. The main benefit that the reader may acquire from reading this book is a deeper understanding of the theoretical underpinnings and of the applications potential of disjunctive programming, which range from more efficient problem formulation to enhanced modeling capability and improved solution methods for integer and combinatorial optimization. Egon Balas is University Professor and Lord Professor of Operations Research at Carnegie Mellon University's Tepper School of Business.
Proceedings of the International Conference on Artificial Intelligence Techniques for Electrical Engineering Systems (Atlantis Highlights in Intelligent Systems #3)
by Valentina E. Balas Ramesh C. Bansal Siva Kumar Mangipudi Subhojit DawnThis is an open access book. The focus of the conference is to provide a unique platform for exchange of ideas and synergy among researchers, academicians and industrial experts across the globe belonging to emerging electrical engineering domains. It also provides a premier platform for the people to present and discuss the most recent innovations and solutions in solving complex and challenging problems related to intelligent electrical engineering systems. Such a blend of various research-oriented minds will lead to productive results and further advancements in electrical engineering research.The book invites submission of novel, recent area of innovation and previously unpublished research work/idea in the field of modern applications of artificial intelligence techniques to electrical engineering systems. The applications of artificial intelligence related to various fields of electrical engineering are mentioned in the conference tracks. The conference is meant to discuss the challenges and applications of latest evolutionary computing techniques, neural networks, fuzzy logic, machine learning and data analytics in the fields of power systems, power electronics, robotics, automation, instrumentation, control systems, mechatronics and photonics. It provides a platform to the students, researchers, scientists, faculty members, professionals and practitioners to interact, present and get innovative ideas in the field of electrical engineering. As a part of AITEES-2022, many keynote sessions are planned to enhance the research and innovation skills of participants. Eminent professors from academic institutions and world renowned industrial experts from India and abroad will deliver keynote sessions.
Intelligent Data Analysis for Biomedical Applications: Challenges and Solutions (Intelligent Data-Centric Systems: Sensor Collected Intelligence)
by Valentina Emilia Balas Deepak Gupta Jude D. HemanthIntelligent Data Analysis for Biomedical Applications: Challenges and Solutions presents specialized statistical, pattern recognition, machine learning, data abstraction and visualization tools for the analysis of data and discovery of mechanisms that create data. It provides computational methods and tools for intelligent data analysis, with an emphasis on problem-solving relating to automated data collection, such as computer-based patient records, data warehousing tools, intelligent alarming, effective and efficient monitoring, and more. This book provides useful references for educational institutions, industry professionals, researchers, scientists, engineers and practitioners interested in intelligent data analysis, knowledge discovery, and decision support in databases.Provides the methods and tools necessary for intelligent data analysis and gives solutions to problems resulting from automated data collectionContains an analysis of medical databases to provide diagnostic expert systemsAddresses the integration of intelligent data analysis techniques within biomedical information systems
Handbook of Deep Learning Applications (Smart Innovation, Systems and Technologies #136)
by Valentina Emilia Balas Sanjiban Sekhar Roy Dharmendra Sharma Pijush SamuiThis book presents a broad range of deep-learning applications related to vision, natural language processing, gene expression, arbitrary object recognition, driverless cars, semantic image segmentation, deep visual residual abstraction, brain–computer interfaces, big data processing, hierarchical deep learning networks as game-playing artefacts using regret matching, and building GPU-accelerated deep learning frameworks. Deep learning, an advanced level of machine learning technique that combines class of learning algorithms with the use of many layers of nonlinear units, has gained considerable attention in recent times. Unlike other books on the market, this volume addresses the challenges of deep learning implementation, computation time, and the complexity of reasoning and modeling different type of data. As such, it is a valuable and comprehensive resource for engineers, researchers, graduate students and Ph.D. scholars.
Intelligent Computing and Networking: Proceedings of IC-ICN 2022 (Lecture Notes in Networks and Systems #632)
by Valentina Emilia Balas Vijay Bhaskar Semwal Anand KhandareThis book gathers high-quality peer-reviewed research papers presented at the International Conference on Intelligent Computing and Networking (IC-ICN 2022), organized by the Computer Department, Thakur College of Engineering and Technology, in Mumbai, Maharashtra, India, on February 25–26, 2022. The book includes innovative and novel papers in the areas of intelligent computing, artificial intelligence, machine learning, deep learning, fuzzy logic, natural language processing, human–machine interaction, big data mining, data science and mining, applications of intelligent systems in healthcare, finance, agriculture and manufacturing, high-performance computing, computer networking, sensor and wireless networks, Internet of Things (IoT), software-defined networks, cryptography, mobile computing, digital forensics and blockchain technology.
General Equilibrium Theory of Value
by Yves BalaskoThe concept of general equilibrium, one of the central components of economic theory, explains the behavior of supply, demand, and prices by showing that supply and demand exist in balance through pricing mechanisms. The mathematical tools and properties for this theory have developed over time to accommodate and incorporate developments in economic theory, from multiple markets and economic agents to theories of production. Yves Balasko offers an extensive, up-to-date look at the standard theory of general equilibrium, to which he has been a major contributor. This book explains how the equilibrium manifold approach can be usefully applied to the general equilibrium model, from basic consumer theory and exchange economies to models with private ownership of production. Balasko examines properties of the standard general equilibrium model that are beyond traditional existence and optimality. He applies the theory of smooth manifolds and mappings to the multiplicity of equilibrium solutions and related discontinuities of market prices. The economic concepts and differential topology methods presented in this book are accessible, clear, and relevant, and no prior knowledge of economic theory is necessary. General Equilibrium Theory of Value offers a comprehensive foundation for the most current models of economic theory and is ideally suited for graduate economics students, advanced undergraduates in mathematics, and researchers in the field.
General Equilibrium Theory of Value
by Yves BalaskoThe concept of general equilibrium, one of the central components of economic theory, explains the behavior of supply, demand, and prices by showing that supply and demand exist in balance through pricing mechanisms. The mathematical tools and properties for this theory have developed over time to accommodate and incorporate developments in economic theory, from multiple markets and economic agents to theories of production. Yves Balasko offers an extensive, up-to-date look at the standard theory of general equilibrium, to which he has been a major contributor. This book explains how the equilibrium manifold approach can be usefully applied to the general equilibrium model, from basic consumer theory and exchange economies to models with private ownership of production. Balasko examines properties of the standard general equilibrium model that are beyond traditional existence and optimality. He applies the theory of smooth manifolds and mappings to the multiplicity of equilibrium solutions and related discontinuities of market prices. The economic concepts and differential topology methods presented in this book are accessible, clear, and relevant, and no prior knowledge of economic theory is necessary. General Equilibrium Theory of Value offers a comprehensive foundation for the most current models of economic theory and is ideally suited for graduate economics students, advanced undergraduates in mathematics, and researchers in the field.
Mathematical Modelling and Scientific Computation: International Conference, ICMMSC 2012, Gandhigram, Tamil Nadu, India, March 16-18, 2012 (Communications in Computer and Information Science #283)
by P. Balasubramaniam R. UthayakumarThis book constitutes the refereed proceedings of the International Conference on Mathematical Modelling and Scientific Intelligence, ICMMSC 2012, Gandhigram, Tamil Nadu, India, in March 2012. The 62 revised full papers presented were carefully reviewed and selected from 332 submissions. The papers are organized in two topical sections on mathematical modelling and on scientific computation.
Part I: Physical Chemistry. Part II: Solid State Physics (The Collected Works #A / 4)
by N. Balazs W. KohnThe fourth volume of the Collected Works is devoted to Wigners contribution to physical chemistry, statistical mechanics and solid-state physics. One corner stone was his introduction of what is now called the Wigner function, while his paper on adiabatic perturbations foreshadowed later work on Berry phases. Although few in number, Wigners articles on solid-state physics laid the foundations for the modern theory of the electronic structure of metals.
Getting Started with Julia
by Ivo BalbaertThis book is for you if you are a data scientist or working on any technical or scientific computation projects. The book assumes you have a basic working knowledge of high-level dynamic languages such as MATLAB, R, Python, or Ruby.
The Digital Revolution: A Short History of an Ideology
by Gabriele Balbi'A must-read to anyone interested in the digital world.' - Valérie Schafer, Center for Contemporary and Digital History, University of Luxembourg A concise history of the digital revolution and the lore, rhetoric, and debates that surround it. The Digital Revolution aims to tell a story, one of the most powerful ideologies of recent decades: that digitalization constitutes a revolution, a break with the past, a radical change for the human beings who are living through it. The book aims to investigate the origins of this idea, how it evolved, which other past revolutions consciously or unconsciously inspired it, which great stories it has conveyed over time, which of its key elements have changed and which ones have persisted and have been repeated in different historical periods. All these discussions, large or small, have settled and condensed into a series of media, advertising, corporate, political, and technical sources. Readers will be introduced to new, previously unpublished historical sources. The main aim of the book is to deconstruct what looks like a “natural” and incontestable idea and to help rethink digital societies today.
The Digital Revolution: A Short History of an Ideology
by Gabriele Balbi'A must-read to anyone interested in the digital world.' - Valérie Schafer, Center for Contemporary and Digital History, University of Luxembourg A concise history of the digital revolution and the lore, rhetoric, and debates that surround it. The Digital Revolution aims to tell a story, one of the most powerful ideologies of recent decades: that digitalization constitutes a revolution, a break with the past, a radical change for the human beings who are living through it. The book aims to investigate the origins of this idea, how it evolved, which other past revolutions consciously or unconsciously inspired it, which great stories it has conveyed over time, which of its key elements have changed and which ones have persisted and have been repeated in different historical periods. All these discussions, large or small, have settled and condensed into a series of media, advertising, corporate, political, and technical sources. Readers will be introduced to new, previously unpublished historical sources. The main aim of the book is to deconstruct what looks like a “natural” and incontestable idea and to help rethink digital societies today.
Introduction to the Graphical Theory of Angular Momentum: Case Studies (Springer Tracts in Modern Physics #234)
by Ewald Balcar Stephen W. LoveseyApplication of quantum mechanics in physics and chemistry often entails manipulation and evaluation of sums and products of coupling coefficients for the theory of angular momentum. Challenges encountered in such work can be tamed by graphical techniques that provide both the insight and analytical power. The book is the first step-by-step exposition of a graphical method grounded in established work. Copious exercises recover standard results but demonstrate the power to go beyond.