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Neverending Fractions
by Wadim Zudilin Jonathan Borwein Alf Van Der Poorten Jeffrey ShallitDespite their classical nature, continued fractions are a neverending research area, with a body of results accessible enough to suit a wide audience, from researchers to students and even amateur enthusiasts. Neverending Fractions brings these results together, offering fresh perspectives on a mature subject. Beginning with a standard introduction to continued fractions, the book covers a diverse range of topics, from elementary and metric properties, to quadratic irrationals, to more exotic topics such as folded continued fractions and Somos sequences. Along the way, the authors reveal some amazing applications of the theory to seemingly unrelated problems in number theory. Previously scattered throughout the literature, these applications are brought together in this volume for the first time. A wide variety of exercises guide readers through the material, which will be especially helpful to readers using the book for self-study, and the authors also provide many pointers to the literature.
New Advances in Designs, Codes and Cryptography: Stinson66, Toronto, Canada, June 13-17, 2022 (Fields Institute Communications #86)
by Charles J. Colbourn Jeffrey H. DinitzThis volume records and disseminates selected papers from the Stinson66 conference, including surveys, prospectives, and papers presenting original and current research. It contains four accessible surveys of topics in combinatorial designs and related topics, ranging from a tutorial survey of connections to classical group theory, to surveys of "hot topics" in current research. It also contains a prospective paper identifying topics for future research efforts, co-authored by one of the elder statesmen of the field, Alex Rosa. Finally, the research papers examine topics ranging from pure mathematics to applied work in computing, networking, communications, and cryptography. For students and newcomers to these topics, the volume provides accessible survey material that does not have onerous prerequisites. The breadth of topics reflects the vibrancy of the field in a way that can be appreciated by all researchers. The papers present important advances on theory and applications,which also benefit advanced researchers.
New Advances in Maxwell’s Equations and Applications (NanoScience and Technology)
by Zhong Lin Wang Er-Ping LiThis book offers a comprehensive examination of ongoing advancements in theoretical and experimental approaches to Maxwell's equations. It focuses on three key aspects: quantum effects, scale effects, and kinetic effects, which exert subtle influences at microscopic levels. Addressing pressing challenges for future progress, the text explores the interplay of these phenomena within classical electromagnetism. The evolution of data communication and information technology has led to a demand for high-density, minimization, ultra-compact nano-photo-electronic integration. As electronic devices scale down to nanometer and sub-nanometer levels, classical Maxwell’s equations reveal quantum effects. This book provides insights into these advancements, focusing on potential applications in nano-scale electronic and optic devices. Tailored for physicists, engineering scientists, electronics engineers, and developers, this text serves as a valuable resource. It guides readers from classical Maxwell’s equations to their quantum-affected counterparts, providing essential insights for electromagnetic simulation and the design of nano-scale electronic and optic systems. With its blend of theoretical foundations and practical applications, this book equips professionals with the knowledge needed to apply these advancements in real-world scenarios.
New Advances in Statistical Modeling and Applications
by Rui Santos António Pacheco Maria do Rosário Oliveira Carlos Daniel PaulinoThis volume of the Selected Papers is a product of the XIX Congress of the Portuguese Statistical Society, held at the Portuguese town of Nazar#65533;, from September 28 to October 1, 2011. All contributions were selected after a thorough peer-review process. It covers a broad scope of papers in the areas of Statistical Science, Probability and Stochastic Processes, Extremes and Statistical Applications.
New Approaches in Modeling Multiphase Flows and Dispersion in Turbulence, Fractal Methods and Synthetic Turbulence
by J. M. Redondo A. F. Nowakowski C. Cambon F.C.G.A. Nicolleau J. C. Vassilicos M. ReeksThis book contains a collection of the main contributions from the first five workshops held by Ercoftac Special Interest Group on Synthetic Turbulence Models (SIG42. It is intended as an illustration of the sig's activities and of the latest developments in the field. This volume investigates the use of Kinematic Simulation (KS) and other synthetic turbulence models for the particular application to environmental flows. This volume offers the best syntheses on the research status in KS, which is widely used in various domains, including Lagrangian aspects in turbulence mixing/stirring, particle dispersion/clustering, and last but not least, aeroacoustics. Flow realizations with complete spatial, and sometime spatio-temporal, dependency, are generated via superposition of random modes (mostly spatial, and sometime spatial and temporal, Fourier modes), with prescribed constraints such as: strict incompressibility (divergence-free velocity field at each point), high Reynolds energy spectrum. Recent improvements consisted in incorporating linear dynamics, for instance in rotating and/or stably-stratified flows, with possible easy generalization to MHD flows, and perhaps to plasmas. KS for channel flows have also been validated. However, the absence of "sweeping effects" in present conventional KS versions is identified as a major drawback in very different applications: inertial particle clustering as well as in aeroacoustics. Nevertheless, this issue was addressed in some reference papers, and merits to be revisited in the light of new studies in progress.
New Backpropagation Algorithm with Type-2 Fuzzy Weights for Neural Networks
by Patricia Melin Fernando Gaxiola Fevrier ValdezIn this book a neural network learning method with type-2 fuzzy weight adjustment is proposed. The mathematical analysis of the proposed learning method architecture and the adaptation of type-2 fuzzy weights are presented. The proposed method is based on research of recent methods that handle weight adaptation and especially fuzzy weights. The internal operation of the neuron is changed to work with two internal calculations for the activation function to obtain two results as outputs of the proposed method. Simulation results and a comparative study among monolithic neural networks, neural network with type-1 fuzzy weights and neural network with type-2 fuzzy weights are presented to illustrate the advantages of the proposed method. The proposed approach is based on recent methods that handle adaptation of weights using fuzzy logic of type-1 and type-2. The proposed approach is applied to a cases of prediction for the Mackey-Glass (for ô=17) and Dow-Jones time series, and recognition of person with iris biometric measure. In some experiments, noise was applied in different levels to the test data of the Mackey-Glass time series for showing that the type-2 fuzzy backpropagation approach obtains better behavior and tolerance to noise than the other methods. The optimization algorithms that were used are the genetic algorithm and the particle swarm optimization algorithm and the purpose of applying these methods was to find the optimal type-2 fuzzy inference systems for the neural network with type-2 fuzzy weights that permit to obtain the lowest prediction error.
New Cambridge Statistical Tables
by D. V. Lindley W. F. ScottThe latest edition of this very successful and authoritative set of tables, first published in 1984, still benefits from clear typesetting, which makes the figures easy to read and use, but has been improved by the addition of new tables. These give Bayesian confidence limits for the binomial and Poisson distributions, and for the square of the multiple correlation coefficient, which have not been previously available. The intervals are the shortest possible, consistent with the requirement on probability. The authors have taken great care to ensure the clarity of the tables and how their values may be used; the tables are easily interpolated. The book contains all the tables likely to be required for elementary statistical methods in the social, business and natural sciences, and will be an essential aid for teachers, users and students in these areas.
New Challenges for Cancer Systems Biomedicine
by Alberto D'Onofrio Alberto Gandolfi Paola CerraiThe future of oncology seems to lie in Molecular Medicine (MM). MM is a new science based on three pillars. Two of them are evident in its very name and are well known: medical science and molecular biology. However, there is a general unawareness that MM is firmly based on a third, and equally important, pillar: Systems Biomedicine. Currently, this term denotes multilevel, hierarchical models integrating key factors at the molecular, cellular, tissue, through phenotype levels, analyzed to reveal the global behavior of the biological process under consideration. It becomes increasingly evident that the tools to construct such complex models include, not only bioinformatics and modern applied statistics, as is unanimously agreed, but also other interdisciplinary fields of science, notably, Mathematical Oncology, Systems Biology and Theoretical Biophysics.
New Classification Method Based on Modular Neural Networks with the LVQ Algorithm and Type-2 Fuzzy Logic (SpringerBriefs in Applied Sciences and Technology)
by Oscar Castillo Patricia Melin Jonathan AmezcuaIn this book a new model for data classification was developed. This new model is based on the competitive neural network Learning Vector Quantization (LVQ) and type-2 fuzzy logic. This computational model consists of the hybridization of the aforementioned techniques, using a fuzzy logic system within the competitive layer of the LVQ network to determine the shortest distance between a centroid and an input vector. This new model is based on a modular LVQ architecture to further improve its performance on complex classification problems. It also implements a data-similarity process for preprocessing the datasets, in order to build dynamic architectures, having the classes with the highest degree of similarity in different modules. Some architectures were developed in order to work mainly with two datasets, an arrhythmia dataset (using ECG signals) for classifying 15 different types of arrhythmias, and a satellite images segments dataset used for classifying six different types of soil. Both datasets show interesting features that makes them interesting for testing new classification methods.
New Concepts and Trends of Hybrid Multiple Criteria Decision Making
by Gwo-Hshiung Tzeng Kao-Yi ShenWhen people or computers need to make a decision, typically multiple conflicting criteria need to be evaluated; for example, when we buy a car, we need to consider safety, cost and comfort. Multiple criteria decision making (MCDM) has been researched for decades. Now as the rising trend of big-data analytics in supporting decision making, MCDM can be more powerful when combined with state-of-the-art analytics and machine learning. In this book, the authors introduce a new framework of MCDM, which can lead to more accurate decision making. Several real-world cases will be included to illustrate the new hybrid approaches.
New Contribution to the Analysis and Evaluation of Safety Architectures: Scientific Investigation of a Safety Architecture
by Ossmane KriniThe objective of this scientific work is to research, test and develop an approach and design a safety architecture for highly safe, available and autonomous systems with regard to functional safety using degradation concepts. A novel, safety-oriented 4oo6 sensor structure targeting functional safety aspects has been thoroughly scientifically investigated, developed and validated. This Sensor Safety 4oo6 structure represents a major challenge as it integrates innovative approaches to improve system safety. The new safety strategy for autonomous systems enables operation in different modes and offers flexibility and adaptability. The 4oo6 safety architecture analyzed and developed in the scientific study has a self-monitoring structure that enables early detection of faults. This ensures that both the safety and availability of the system are maintained in the long term. The new Safety 4oo6 structure represents a new challenge, as such an architecture does not yet exist in the IEC 61508 safety standard or in DIN EN 61511. With this new architecture, a significantly higher level of safety and availability can be achieved.
New Developments and Advances in Robot Control (Studies in Systems, Decision and Control #175)
by Quanmin Zhu Nabil Derbel Jawhar GhommamThis book highlights relevant studies and applications in the area of robotics, which reflect the latest research, from interdisciplinary theoretical studies and computational algorithm development, to representative applications. It presents chapters on advanced control, such as fuzzy, neural, backstepping, sliding mode, adaptive, predictive, diagnosis and fault tolerant control etc. and addresses topics including cloud robotics, cable-driven robots, two-wheeled robots, mobile robots, swarm robots, hybrid vehicle, and drones. Each chapter employs a uniform structure: background, motivation, quantitative development (equations), case studies/illustration/tutorial (simulations, experiences, curves, tables, etc.), allowing readers to easily tailor the techniques to their own applications.
New Developments in Categorical Data Analysis for the Social and Behavioral Sciences (Quantitative Methodology Series)
by L. Andries van der Ark, Marcel A. Croon and Klaas SijtsmaCategorical data are quantified as either nominal variables--distinguishing different groups, for example, based on socio-economic status, education, and political persuasion--or ordinal variables--distinguishing levels of interest, such as the preferred politician or the preferred type of punishment for committing burglary. This new book is a collection of up-to-date studies on modern categorical data analysis methods, emphasizing their application to relevant and interesting data sets.This volume concentrates on latent class analysis and item response theory. These methods use latent variables to explain the relationships among observed categorical variables. Latent class analysis yields the classification of a group of respondents according to their pattern of scores on the categorical variables. This provides insight into the mechanisms producing the data and allows the estimation of factor structures and regression models conditional on the latent class structure. Item response theory leads to the identification of one or more ordinal or interval scales. In psychological and educational testing these scales are used for individual measurement of abilities and personality traits.The focus of this volume is applied. After a method is explained, the potential of the method for analyzing categorical data is illustrated by means of a real data example to show how it can be used effectively for solving a real data problem. These methods are accessible to researchers not trained explicitly in applied statistics. This volume appeals to researchers and advanced students in the social and behavioral sciences, including social, developmental, organizational, clinical and health psychologists, sociologists, educational and marketing researchers, and political scientists. In addition, it is of interest to those who collect data on categorical variables and are faced with the problem of how to analyze such variables--among themselves or in relation to metric variables.
New Developments in Difference Equations and Applications: Proceedings of the Third International Conference on Difference Equations
by S. S. Cheng S. Elaydi G. LadasThe late Professor Ming-Po Chen was instrumental in making the Third International Conference on Difference Equations a great success. Dedicated to his memory, these proceedings feature papers presented by many of the most prominent mathematicians in the field. It is a comprehensive collection of the latest developments in topics including stability theory, combinatorics, asymptotics, partial difference equations, as well as applications to biological, social, and natural sciences. This volume is an indispensable reference for academic and applied mathematicians, theoretical physicists, systems engineers, and computer and information scientists.
New Developments in Discrete Dynamical Systems, Difference Equations, and Applications: 28th ICDEA, Phitsanulok, Thailand, July 17-21, 2023 (Springer Proceedings in Mathematics & Statistics #485)
by Saber Elaydi Laura Gardini Wirot TikjhaThis compelling book presents remarkable contributions from esteemed speakers who participated in the 28th International Conference on Difference Equations and Applications, ICDEA 2023, hosted at Phitsanulok, Thailand, in collaboration with the International Society of Difference Equations (ISDE) from July 17 to 21, 2023. Embark on an enriching journey through the realms of difference equations and discrete dynamical systems, with practical applications spanning economics, engineering, biology, and related sciences. Immerse yourself in cutting-edge research as you explore new and significant breakthroughs within the fields of difference equations and discrete dynamical systems. This comprehensive compilation spans diverse scientific disciplines, demonstrating the profound impact of these theories and methodologies in practical and tangible settings. From economic modeling to engineering optimization, from biological systems to interdisciplinary applications, this book exemplifies the versatility and relevance of difference equations and discrete dynamical systems. Designed to resonate with a wide audience, including Ph.D. students, researchers, educators, and practitioners, it goes beyond mere dissemination of recent results. It actively fosters the advancement of knowledge, serving as a catalyst for further explorations and innovations across the spectrum of sciences.
New Developments in Materials for Infrastructure Sustainability and the Contemporary Issues in Geo-environmental Engineering: Proceedings of the 5th GeoChina International Conference 2018 – Civil Infrastructures Confronting Severe Weathers and Climate Changes: From Failure to Sustainability, held on July 23 to 25, 2018 in HangZhou, China (Sustainable Civil Infrastructures)
by Shanzhi Shu Liangcai He Yao KaiThis book contains research papers focusing on recent advances throughout the world in theories and technologies of geotechnical engineering and the relevant disciplines. Topics includes: numerical modeling, earthquake engineering, geomaterial application in soil improvement and geo-environmental engineering, foundation engineering, and geo-environmental engineering.. Papers were selected from the 5th GeoChina International Conference 2018 – Civil Infrastructures Confronting Severe Weathers and Climate Changes: From Failure to Sustainability, held on July 23 to 25, 2018 in HangZhou, China.
New Developments in Multiple Objective and Goal Programming
by Mehrdad Tamiz Dylan Jones Jana RiesThis volume shows the state-of-the-art in both theoretical development and application of multiple objective and goal programming. Applications from the fields of supply chain management, financial portfolio selection, financial risk management, insurance, medical imaging, sustainability, nurse scheduling, project management, water resource management, and the interface with data envelopment analysis give a good reflection of current usage. A pleasing variety of techniques are used including models with fuzzy, group-decision, stochastic, interactive, and binary aspects. Additionally, two papers from the upcoming area of multi-objective evolutionary algorithms are included. The book is based on the papers of the 8th International Conference on Multi-Objective and Goal Programming (MOPGP08) which was held in Portsmouth, UK, in September 2008.
New Developments in Quantitative Psychology
by L. Andries van der Ark Daniel M. Bolt Roger E. Millsap Carol M. WoodsThe 77th Annual International Meeting of the Psychometric Society (IMPS) brought together quantitative researchers who focus on methods relevant to psychology The conference included workshops, invited talks by well-known scholars, and presentations of submitted papers and posters. It was hosted by the University of Nebraska-Lincoln and took place between the 9th and 12th of July, 2012. The chapters of this volume are based on presentations from the meeting and reflect the latest work in the field. Topics with a primarily measurement focus include studies of item response theory, computerized adaptive testing, cognitive diagnostic modeling, and psychological scaling Additional psychometric topics relate to structural equation modeling, factor analysis, causal modeling, mediation, missing data methods, and longitudinal data analysis, among others The papers in this volume will be especially useful for researchers (graduate students and other quantitative researchers) in the social sciences who use quantitative methods, particularly psychologists Most readers will benefit from some prior knowledge of statistical methods in reading the chapters.
New Developments in Statistical Modeling, Inference and Application
by Zhezhen Jin Mengling Liu Xiaolong LuoThe papers in this volume represent the most timely and advanced contributions to the 2014 Joint Applied Statistics Symposium of the International Chinese Statistical Association (ICSA) and the Korean International Statistical Society (KISS), held in Portland, Oregon. The contributions cover new developments in statistical modeling and clinical research: including model development, model checking, and innovative clinical trial design and analysis. Each paper was peer-reviewed by at least two referees and also by an editor. The conference was attended by over 400 participants from academia, industry, and government agencies around the world, including from North America, Asia, and Europe. It offered 3 keynote speeches, 7 short courses, 76 parallel scientific sessions, student paper sessions, and social events.
New Developments in the Visualization and Processing of Tensor Fields
by Anna Vilanova David H. LaidlawBringing together key researchers in disciplines ranging from visualization and image processing to applications in structural mechanics, fluid dynamics, elastography, and numerical mathematics, the workshop that generated this edited volume was the third in the successful Dagstuhl series. Its aim, reflected in the quality and relevance of the papers presented, was to foster collaboration and fresh lines of inquiry in the analysis and visualization of tensor fields, which offer a concise model for numerous physical phenomena. Despite their utility, there remains a dearth of methods for studying all but the simplest ones, a shortage the workshops aim to address. Documenting the latest progress and open research questions in tensor field analysis, the chapters reflect the excitement and inspiration generated by this latest Dagstuhl workshop, held in July 2009. The topics they address range from applications of the analysis of tensor fields to purer research into their mathematical and analytical properties. They show how cooperation and the sharing of ideas and data between those engaged in pure and applied research can open new vistas in the study of tensor fields.
New Developments of Newton-Type Iterations for Solving Nonlinear Problems (Mathematical Engineering)
by Tugal Zhanlav Ochbadrakh ChuluunbaatarThis comprehensive book delves into the intricacies of Newton-type methods for nonlinear equations, offering insights into their convergence, accelerations, and extensions. Divided into three parts, the book explores higher-order iterations for nonlinear equations and their systems, and their applications in linear algebra and some nonlinear problems of theoretical physics. Emphasizing the pivotal role of iteration parameters in shaping convergence and expanding the domain, the authors draw from their extensive collaborative research to systematically compile and elucidate these findings. Catering to readers, graduate students, and researchers in applied mathematics, numerical analysis, and related disciplines, this book serves as a valuable resource, synthesizing decades of research to advance understanding and practical application in the field
New Diagnostic, Therapeutic and Organizational Strategies for Acute Coronary Syndromes Patients
by Maurizio Marzegalli Niccolò Grieco Anna Maria PaganoniThis book collects several contributions, written both by statisticians and medical doctors, which focus on the identification of new diagnostic, therapeutic and organizational strategies in order to improve the occurrence of clinical outcomes for Acute Coronary Syndromes (ACS) patients. The work is structured in two different parts: the first one is focused on cooperative project mainly on statistical analysis of large clinical and administrative databases; the second one faces the development of innovative diagnostic techniques, with specific reference to genetic and proteomic, and the evolution of new imaging techniques for the early identification of patients at major risk of thrombotic, arrhythmic complications and at risk of poor revascularization.
New Digital Signal Processing Methods: Applications to Measurement and Diagnostics
by Raoul R. Nigmatullin Paolo Lino Guido MaioneThis book is intended as a manual on modern advanced statistical methods for signal processing. The objectives of signal processing are the analysis, synthesis, and modification of signals measured from different natural phenomena, including engineering applications as well. Often the measured signals are affected by noise, distortion and incompleteness, and this makes it difficult to extract significant signal information. The main topic of the book is the extraction of significant information from measured data, with the aim of reducing the data size while keeping the basic information/knowledge about the peculiarities and properties of the analyzed system; to this aim, advanced and recently developed methods in signal analysis and treatment are introduced and described in depth. More in details, the book covers the following new advanced topics (and the corresponding algorithms), including detailed descriptions and discussions: the Eigen-Coordinates (ECs) method, The statistics of the fractional moments, The quantitative "universal" label (QUL) and the universal distribution function for the relative fluctuations (UDFRF), the generalized Prony spectrum, the Non-orthogonal Amplitude Frequency Analysis of the Smoothed Signals (NAFASS), the discrete geometrical invariants (DGI) serving as the common platform for quantitative comparison of different random functions. Although advanced topics are discussed in signal analysis, each subject is introduced gradually, with the use of only the necessary mathematics, and avoiding unnecessary abstractions. Each chapter presents testing and verification examples on real data for each proposed method. In comparison with other books, here it is adopted a more practical approach with numerous real case studies.
New Directions for Mathematics Education Research on Proving: Honoring the Legacy of John and Annie Selden (Research in Mathematics Education)
by Miloš Savić Keith WeberThis book summarizes new directions in mathematics education research on proving at the university level, thereby providing contemporary extensions of the sub-fields of proof that Annie and John Selden introduced to the field. The chapters each describe an emerging new area of proof research, review the relevant findings in this area, present open research questions and the tools to address them. The book also discusses proof as a literary genre, and how students' feelings during the proof writing process can influence their behavior. The concluding chapter of the book reflects on new directions for research on proving. As such, this book provides mathematics educators, who have extensive experience researching proof, with an up-to-date review of the new methodologies and research questions with regard to proof, and young scholars, interested in proof, can use these chapters as primers on which they can build a research program.
New Directions in Function Theory: Chapman University, November 2019 (Operator Theory: Advances and Applications #286)
by Daniel Alpay David Shoikhet Mihaela B. Vajiac Ronen PeretzThis volume presents selected contributions from experts gathered at Chapman University for a conference held in November 2019 on new directions in function theory. The papers, written by leading researchers in the field, relate to hypercomplex analysis, Schur analysis and de Branges spaces, new aspects of classical function theory, and infinite dimensional analysis. Signal processing constitutes a strong presence in several of the papers.A second volume in this series of conferences, this book will appeal to mathematicians interested in learning about new fields of development in function theory.