From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory
The main topics of this volume, dedicated to Lance Littlejohn, are operator and spectral theory, orthogonal polynomials, combinatorics, number theory, and the various interplays of these subjects. Although the event, originally scheduled as the Baylor Analysis Fest, had to be postponed due to the pandemic, scholars from around the globe have contributed research in a broad range of mathematical fields. The collection will be of interest to both graduate students and professional mathematicians.Contributors are: G.E. Andrews, B.M. Brown, D. Damanik, M.L. Dawsey, W.D. Evans, J. Fillman, D. Frymark, A.G. Garc穩a, L.G. Garza, F. Gesztesy, D. G籀mez-Ullate, Y. Grandati, F.A. Gr羹nbaum, S. Guo, M. Hunziker, A. Iserles, T.F. Jones, K. Kirsten, Y. Lee, C. Liaw, F. Marcell獺n, C. Markett, A. Martinez-Finkelshtein, D. McCarthy, R. Milson, D. Mitrea, I. Mitrea, M. Mitrea, G. Novello, D. Ong, K. Ono, J.L. Padgett, M.M.M. Pang, T. Poe, A.Sri Ranga, K. Schiefermayr, Q. Sheng, B. Simanek, J. Stanfill, L. Vel獺zquez, M. Webb, J. Wilkening, I.G. Wood, M. Zinchenko.
Beyond Sobolev and Besov
This book investigates the close relation between quite sophisticated function spaces, the regularity of solutions of partial differential equations (PDEs) in these spaces and the link with the numerical solution of such PDEs. It consists of three parts. Part I, the introduction, provides a quick guide to function spaces and the general concepts needed. Part II is the heart of the monograph and deals with the regularity of solutions in Besov and fractional Sobolev spaces. In particular, it studies regularity estimates of PDEs of elliptic, parabolic and hyperbolic type on non smooth domains. Linear as well as nonlinear equations are considered and special attention is paid to PDEs of parabolic type. For the classes of PDEs investigated a justification is given for the use of adaptive numerical schemes. Finally, the last part has a slightly different focus and is concerned with traces in several function spaces such as Besov- and Triebel-Lizorkin spaces, but also in quite general smoothness Morrey spaces. The book is aimed at researchers and graduate students working in regularity theory of PDEs and function spaces, who are looking for a comprehensive treatment of the above listed topics.
Quantitative Portfolio Management
This self-contained book presents the main techniques of quantitative portfolio management and associated statistical methods in a very didactic and structured way, in a minimum number of pages. The concepts of investment portfolios, self-financing portfolios and absence of arbitrage opportunities are extensively used and enable the translation of all the mathematical concepts in an easily interpretable way. All the results, tested with Python programs, are demonstrated rigorously, often using geometric approaches for optimization problems and intrinsic approaches for statistical methods, leading to unusually short and elegant proofs. The statistical methods concern both parametric and non-parametric estimators and, to estimate the factors of a model, principal component analysis is explained. The presented Python code and web scraping techniques also make it possible to test the presented concepts on market data. This book will be useful for teaching Masters students and for professionals in asset management, and will be of interest to academics who want to explore a field in which they are not specialists. The ideal pre-requisites consist of undergraduate probability and statistics and a familiarity with linear algebra and matrix manipulation. Those who want to run the code will have to install Python on their pc, or alternatively can use Google Colab on the cloud. Professionals will need to have a quantitative background, being either portfolio managers or risk managers, or potentially quants wanting to double check their understanding of the subject.
tp1.2 A continuing inquiry into the Foundations of the Science of Physics
Physics, as a science, must be able to describe the location of material objects, their movements, and the forces involved. Following on tp1.1, this work addresses the task of location starting with the mathematical objects in a three dimensional set of vectors. The reader is taken as intelligent, interested in Physics, but perhaps without a strong foundation in Mathematics. The topic is developed as a dialog between three friends. While addition in the set of vectors is given axiomatically, the operation itself is not formulated, a proper formulation of which the friends finally accept. The interplay between geometry and algebra becomes part of the discussion. Subtraction, not axiomatic, follows. Three types of multiplication become apparent (inner, cross, outer). Their various combinations are summarized in a large table of vectorial identities. With the definition of division in the set of vectors, the friends recognize that they have constructed an algebra. With an algebra comes equations, and the quest for solutions. The friends, with no little difficulty, find all solutions of vectorial algebraic equations which they display in a second table. Matrices are introduced, so also equations with matrices. The friends find comprehensive solutions for these, both for the unknown vector, and for the matrix itself. These mathematical constructions, however, cannot apply directly to science of Physics. The friends discuss what restrictions need to be made, and how the restricted structures may then be made into a proper instrument for describing physical locations. The restrictions involve material and spatial references which result in a fundamental duality in observation and the important physical principle of non-collocation. The Foundation for Theoretical Physics is dedicated to advancing a science of Physics without contradictions.
An Introduction to Nonlinear Finite Element Analysis Second Edition
The second edition of An Introduction to Nonlinear Finite Element Analysis has the same objective as the first edition, namely, to facilitate an easy and thorough understanding of the details that are involved in the theoretical formulation, finite element model development, and solutions of nonlinear problems. The book offers an easy-to-understand treatment of the subject of nonlinear finite element analysis, which includes element development from mathematical models and numerical evaluation of the underlying physics. The new edition is extensively reorganized and contains substantial amounts of new material. Chapter 1 in the second edition contains a section on applied functional analysis. Chapter 2 on nonlinear continuum mechanics is entirely new. Chapters 3 through 8 in the new edition correspond to Chapter 2 through 8 of the first edition, but with additional explanations, examples, and exercise problems. Material on time dependent problems from Chapter 8 of the first edition is absorbed into Chapters 4 through 8 of the new edition. Chapter 9 is extensively revised and it contains up to date developments in the large deformation analysis of isotropic, composite and functionally graded shells. Chapter 10 of the first edition on material nonlinearity and coupled problems is reorganized in the second edition by moving the material on solid mechanics to Chapter 12 in the new edition and material on coupled problems to the new chapter, Chapter 10, on weak-form Galerkin finite element models of viscous incompressible fluids. Finally, Chapter 11 in the second edition is entirely new and devoted to least-squares finite element models of viscous incompressible fluids. Chapter 12 of the second edition is enlarged to contain finite element models of viscoelastic beams. In general, all of the chapters of the second edition contain additional explanations, detailed example problems, and additional exercise problems. Although all of the segments are in Fortran, the logic used in these Fortran programs is transparent and can be used in Matlab or C++ versions of the same. Thus the new edition more than replaces the first edition, and it is hoped that it is acquired by the library of every institution of higher learning as well as serious finite element analysts. The book may be used as a textbook for an advanced course (after a first course) on the finite element method or the first course on nonlinear finite element analysis. A solutions manual is available on request from the publisher to instructors who adopt the book as a textbook for a course.
Laplacian Growth on Branched Riemann Surfaces
This book studies solutions of the Polubarinova-Galin and L繹wner-Kufarev equations, which describe the evolution of a viscous fluid (Hele-Shaw) blob, after the time when these solutions have lost their physical meaning due to loss of univalence of the mapping function involved. When the mapping function is no longer locally univalent interesting phase transitions take place, leading to structural changes in the data of the solution, for example new zeros and poles in the case of rational maps. This topic intersects with several areas, including mathematical physics, potential theory and complex analysis. The text will be valuable to researchers and doctoral students interested in fluid dynamics, integrable systems, and conformal field theory.
Discovering Dynamical Systems Through Experiment and Inquiry
Discovering Dynamical Systems Through Experiment and Inquiry differs from most texts on dynamical systems by blending the use of computer simulations with inquiry-based learning (IBL). IBL is an excellent tool to move students from merely remembering the material to deeper understanding and analysis. This method relies on asking students questions first, rather than presenting the material in a lecture. Another unique feature of this book is the use of computer simulations. Students can discover examples and counterexamples through manipulations built into the software. These tools have long been used in the study of dynamical systems to visualize chaotic behavior. We refer to this unique approach to teaching mathematics as ECAP--Explore, Conjecture, Apply, and Prove. ECAP was developed to mimic the actual practice of mathematics in an effort to provide students with a more holistic mathematical experience. In general, each section begins with exercises guiding students through explorations of the featured concept and concludes with exercises that help the students formally prove the results.While symbolic dynamics is a standard topic in an undergraduate dynamics text, we have tried to emphasize it in a way that is more detailed and inclusive than is typically the case. Finally, we have chosen to include multiple sections on important ideas from analysis and topology independent from their application to dynamics.
A First Course in Ordinary Differential Equations
The book aims at providing enough material on Ordinary Differential Equations for a one semester course without compromising in rigor. It includes proofs of all important theorems. Proofs of some of the theorems which are generally not taught in a Masters course are included in the Appendix.
Geometric Measure Theory and Free Boundary Problems
This volume covers contemporary aspects of geometric measure theory with a focus on applications to partial differential equations, free boundary problems and water waves. It is based on lectures given at the 2019 CIME summer school "Geometric Measure Theory and Applications - From Geometric Analysis to Free Boundary Problems" which took place in Cetraro, Italy, under the scientific direction of Matteo Focardi and Emanuele Spadaro. Providing a description of the structure of measures satisfying certain differential constraints, and covering regularity theory for Bernoulli type free boundary problems and water waves as well as regularity theory for the obstacle problems and the developments leading to applications to the Stefan problem, this volume will be of interest to students and researchers in mathematical analysis and its applications.
The Future of Music
Part I Introduction.- 1 General Introduction.- 2 Ontology and Oniontology.- 3 The Basic Functions of Music.- 4 Historicity in Music.- 5 Only One Restriction: Quality.- Part II Technological Tools.- 6 Software Tools and Hardware Options.- 7 New Concepts of Musical Instruments.- 8 Musical Distribution Channels: New Networks.- 9 Big Science in Music.- Part III Mathematical Concepts.- 10 Mathematical Music Theory.- 11 Serialism: Failure of New Concepts without Musical Impact.- 12 Mazzola's Sonata Construction: A Technical Approach and its Limits.- 13 Imaginary Time.- 14 Mathematical Gesture Theory.- 15 Future Theories (Counterpoint etc.).- Part IV Cultural Extensions.- 16 A Critique of the Western Concept of Music.- 17 Improvisation and the Synthesis Project on the Presto Software.- 18 Art Making as Research.- 19 Human and Machine Music.- 20 Music in the Diversifying Cultures.- 21 Cultural Theories of Gesture.- Part V Creative Strategies.- 22 Recapitulation of Creativity Theory.- 23 The Specifically Musical Walls Against Creativity.- 24 Examples of Creative Extensions in Music.- 25 Performance and Composition.- 26 Are Aesthetics and Business Antagonists?.- Part VI COMMUTE.- 27 ComMute-Towards a Computational Musical Theory of Everything.
Visualizing Linear Models
This book provides a visual and intuitive coverage of the core theory of linear models. Designed to develop fluency with the underlying mathematics and to build a deep understanding of the principles, it's an excellent basis for a one-semester course on statistical theory and linear modeling for intermediate undergraduates or graduate students. Three chapters gradually develop the essentials of linear model theory. They are each preceded by a review chapter that covers a foundational prerequisite topic. This classroom-tested work explores two distinct and complementary types of visualization: the "observations picture" and the "variables picture." To improve retention of material, this book is supplemented by a bank of ready-made practice exercises for students. These are available for digital or print use.
From Probability to Finance
This volume presents a collection of lecture notes of mini-courses taught at BICMR Summer School of Financial Mathematics, from May 29 to June 9, 2017. Each chapter is self-contained and corresponds to one mini-course which deals with a distinguished topic, such as branching processes, enlargement of filtrations, Hawkes processes, copula models and valuation adjustment analysis, whereas the global topics cover a wide range of advanced subjects in financial mathematics, from both theoretical and practical points of view. The authors include world-leading specialists in the domain and also young active researchers.This book will be helpful for students and those who work on probability and financial mathematics.
Financial Literacy and Stock Market Participation
The goal of this Master thesis is to examine the advantages and disadvantages of advanced Machine Learning algorithms compared to traditional econometric methods. More specifically, the predictive performance, interpretability and possibilities for casual inference of various tree-based-methods will be compared to the well-established linear regression models. For this purpose, the Stock Market Participation puzzle, which was originally examined by van Rooij, Lusardi, and Alessie (2007) using OLS and IVGMM regressions, will be used for the empirical part of the thesis. The performance of each model is determined by the ROC curve and the according AUC value. Moreover, measures for variable significance are exploited like Feature importance and Permutation Feature importance, which prove the substantial role of financial literacy and income for investing. Albeit Decision Tree and Random Forest models show similar results to the linear models even after optimization, the optimized XGBoost model appears to excel in the majority of cases. This is confirmed by the Diebold-Mariano test and cross-validation.
Introduction to Analytical Method Development and Validation
The book is related with the general introduction about analytical method development and validation. In this book the brief introduction about all parameters which are required for method development and validation is given with their aceptable range. For analytical method development one can use different instruments like hplc, uplc, hptlc, ir etc. For all drugs mehtod validdation is very important to decide its storage condition etc.
Statistics II for Dummies
Continue your statistics journey with this all-encompassing reference Completed Statistics through standard deviations, confidence intervals, and hypothesis testing? Then you're ready for the next step: Statistics II. And there's no better way to tackle this challenging subject than with Statistics II For Dummies! Get a brief overview of Statistics I in case you need to brush up on earlier topics, and then dive into a full explanation of all Statistic II concepts, including multiple regression, analysis of variance (ANOVA), Chi-square tests, nonparametric procedures, and analyzing large data sets. By the end of the book, you'll know how to use all the statistics tools together to create a great story about your data. For each Statistics II technique in the book, you get an overview of when and why it's used, how to know when you need it, step-by-step directions on how to do it, and tips and tricks for working through the solution. You also find: What makes each technique distinct and what the results say How to apply techniques in real life An interpretation of the computer output for data analysis purposes Instructions for using Minitab to work through many of the calculations Practice with a lot of examples With Statistics II For Dummies, you will find even more techniques to analyze a set of data. Get a head start on your Statistics II class, or use this in conjunction with your textbook to help you thrive in statistics!
Cultural Manifold Analysis on National Character
This book first presents an overview of the history of a national character survey by the Institute of Statistical Mathematics that has been conducted for more than 65 years. The Japanese National Character Survey, launched in 1953, is a rare longitudinal survey in the world of survey research based on rigorous statistical sampling theory, motivating other countries to launch similar longitudinal surveys, including the General Social Survey (GSS), the Allgemeine Bev繹lkerungsumfrage der Sozialwissenschaften (ALLBUS, German General Social Survey (GGSS)), Eurobarometer, and others. Since the early 1970s, the Japanese survey has been extended as a cross-national survey for more advanced research of the Japanese national character in a comparative context. Second, the book explains the paradigm of cross-national studies called the Cultural Manifold Analysis (CULMAN), developed in the longitudinal and cross-national surveys, with practical examples of analysis. This explanation will helphelps a wide range of readers to better understand the cross-national comparative surveys of attitudes, opinion, and social values as basic information for evidence-based policymaking and research.
Introduction to R for Social Scientists
The authors introduce R via the Tidyverse to social and behavioral scientists. They assume no prior experience with R, the Tidyverse, or computer programming. Primary audience is those serious about learning R for social and behavioral research: advanced undergraduates, graduate students, senior practitioners in the field.
Introduction to Analysis with Complex Numbers
This is a self-contained book that covers the standard topics in introductory analysis and that in addition, constructs the natural, rational, real and complex numbers, also handles complex-valued functions, sequences, and series.The book teaches how to write proofs. Fundamental proof-writing logic is covered in Chapter 1 and is repeated and enhanced in two appendices. Many examples of proofs appear with words in a different font for what should be going on in the proof writer's head.The book contains many examples and exercises to solidify the understanding. The material is presented rigorously with proofs and with many worked-out examples. Exercises are varied, many involve proofs, and some provide additional learning materials.
Nonlinear Analysis and Global Optimization
This contributed volume discusses aspects of nonlinear analysis in which optimization plays an important role, as well as topics which are applied to the study of optimization problems. Topics include set-valued analysis, mixed concave-convex sub-superlinear Schroedinger equation, Schroedinger equations in nonlinear optics, exponentially convex functions, optimal lot size under the occurrence of imperfect quality items, generalized equilibrium problems, artificial topologies on a relativistic spacetime, equilibrium points in the restricted three-body problem, optimization models for networks of organ transplants, network curvature measures, error analysis through energy minimization and stability problems, Ekeland variational principles in 2-local Branciari metric spaces, frictional dynamic problems, norm estimates for composite operators, operator factorization and solution of second-order nonlinear difference equations, degenerate Kirchhoff-type inclusion problems, and more.
Introduction to Analysis with Complex Numbers
This is a self-contained book that covers the standard topics in introductory analysis and that in addition, constructs the natural, rational, real and complex numbers, also handles complex-valued functions, sequences, and series.The book teaches how to write proofs. Fundamental proof-writing logic is covered in Chapter 1 and is repeated and enhanced in two appendices. Many examples of proofs appear with words in a different font for what should be going on in the proof writer's head.The book contains many examples and exercises to solidify the understanding. The material is presented rigorously with proofs and with many worked-out examples. Exercises are varied, many involve proofs, and some provide additional learning materials.
Real and Functional Analysis
This book is based on lectures given at "Mekhmat", the Department of Mechanics and Mathematics at Moscow State University, one of the top mathematical departments worldwide, with a rich tradition of teaching functional analysis.Featuring an advanced course on real and functional analysis, the book presents not only core material traditionally included in university courses of different levels, but also a survey of the most important results of a more subtle nature, which cannot be considered basic but which are useful for applications. Further, it includes several hundred exercises of varying difficulty with tips and references.The book is intended for graduate and PhD students studying real and functional analysis as well as mathematicians and physicists whose research is related to functional analysis.
Nonlinear Optimization
Optimization is the act of obtaining the "best" result under given circumstances. In design, construction, and maintenance of any engineering system, engineers must make technological and managerial decisions to minimize either the effort or cost required or to maximize benefits. There is no single method available for solving all optimization problems efficiently. Several optimization methods have been developed for different types of problems. The optimum-seeking methods are mathematical programming techniques (specifically, nonlinear programming techniques).Nonlinear Optimization: Models and Applications presents the concepts in several ways to foster understanding. Geometric interpretation: is used to re-enforce the concepts and to foster understanding of the mathematical procedures. The student sees that many problems can be analyzed, and approximate solutions found before analytical solutions techniques are applied. Numerical approximations: early on, the student is exposed to numerical techniques. These numerical procedures are algorithmic and iterative. Worksheets are provided in Excel, MATLAB(R), and Maple(TM) to facilitate the procedure. Algorithms: all algorithms are provided with a step-by-step format. Examples follow the summary to illustrate its use and application. Nonlinear Optimization: Models and Applications: Emphasizes process and interpretation throughout Presents a general classification of optimization problems Addresses situations that lead to models illustrating many types of optimization problems Emphasizes model formulations Addresses a special class of problems that can be solved using only elementary calculus Emphasizes model solution and model sensitivity analysis About the author: William P. Fox is an emeritus professor in the Department of Defense Analysis at the Naval Postgraduate School. He received his Ph.D. at Clemson University and has taught at the United States Military Academy and at Francis Marion University where he was the chair of mathematics. He has written many publications, including over 20 books and over 150 journal articles. Currently, he is an adjunct professor in the Department of Mathematics at the College of William and Mary. He is the emeritus director of both the High School Mathematical Contest in Modeling and the Mathematical Contest in Modeling.
An Introduction to Acceptance Sampling and Spc with R
This book is an introduction to statistical methods used in monitoring, controlling and improving quality. It is suitable for a one-semester undergraduate course emphasizing statistical quality control for engineering majors, or a supplemental text for a graduate engineering course that included quality control topics.
Lebesgue Integral
This book presents a compact and self-contained introduction to the theory of measure and integration. The introduction into this theory is as necessary (because of its multiple applications) as difficult for the uninitiated. Most measure theory treaties involve a large amount of prerequisites and present crucial theoretical challenges. By taking on another approach, this textbook provides less experienced readers with material that allows an easy access to the definition and main properties of the Lebesgue integral. The book will be welcomed by upper undergraduate/early graduate students who wish to better understand certain concepts and results of probability theory, statistics, economic equilibrium theory, game theory, etc., where the Lebesgue integral makes its presence felt throughout. The book can also be useful to students in the faculties of mathematics, physics, computer science, engineering, life sciences, as an introduction to a more in-depth study of measure theory.
Naive Set Theory
Halmos begins, "Every mathematician agrees that every mathematician must know some set theory; the disagreement begins in trying to decide how much is some. This book contains my answer ... with the minimum of philosophical discourse and logical formalism". The mathematician, scientist, or engineer who needs to know the facts of set theory will find this crisp, clear, concise book, by a master expositor, ideal.This book "Naive Set Theory" uses the language and notation of ordinary informal mathematics to state the basic set-theoretic facts which a beginning student of advanced mathematics needs to know... Because of the informal method of presentation, the book is eminently suited for use as a textbook or for self-study. The reader should derive from this volume a maximum of understanding of the theorems of set theory and of their basic importance in the study of mathematics.
Applied Mathematics for Environmental Problems
This book contains some contributions presented at the Applied Mathematics for Environmental Problems minisymposium during the International Congress on Industrial and Applied Mathematics (ICIAM) held July 15-19, 2019 in Valencia, Spain. The first paper addresses a simplified physical wildfire spread model, based on partial differential equations solved with finite element methods and integrated into a GIS to provide a useful and efficient tool. The second paper focuses on one of the causes of the unpredictable behavior of wildfire, fire-spotting, through a statistical approach. The third paper addresses low -level wind shear which represents one of the most relevant hazards during aircraft takeoff and landing. It presents an experimental wind shear alert system that is based on predicting wind velocities obtained from the Harmonie-Arome model. The last paper addresses the environmental impact of oil reservoirs. It presents high-order hybridizable discontinuous Galerkin formulation combined with high-order diagonally implicit Runge-Kutta schemes to solve one-phase and two-phase flow problems through porous media. All the contributions collected in this volume are interesting examples of how mathematics and numerical modelling are effective tools in the field of environmental problems.
Network Algorithms, Data Mining, and Applications
This proceedings presents the result of the 8th International Conference in Network Analysis, held at the Higher School of Economics, Moscow, in May 2018. The conference brought together scientists, engineers, and researchers from academia, industry, and government. Contributions in this book focus on the development of network algorithms for data mining and its applications. Researchers and students in mathematics, economics, statistics, computer science, and engineering find this collection a valuable resource filled with the latest research in network analysis. Computational aspects and applications of large-scale networks in market models, neural networks, social networks, power transmission grids, maximum clique problem, telecommunication networks, and complexity graphs are included with new tools for efficient network analysis of large-scale networks. Machine learning techniques in network settings including community detection, clustering, and biclustering algorithms are presented with applications to social network analysis.
Advances in Mathematical Economics
Twenty-three Years of Advances in Mathematical Economics.- Optimal Control over Infinite Time Horizon.- Sard-Smale Theorem.
Geometric Analysis of Quasilinear Inequalities on Complete Manifolds
Digital Transformation of Identity in the Age of Artificial Intelligence
1. Digital Social Science 1.1 What does the advanced Technology mean for human-being? 1.1.1 When AI excesses the Leader of the Primates 1.1.2 Big-data accumulates everything 1.2 The Sign of Latent Risks 1.2.1 How Can We depict a Good Future opened by advanced technologies? 1.2.2 Asilomar Conference on Beneficial AI 1.3 Grounding in the Actuality 1.3.1 Grounding between Technologies and Thought 1.3.2 Brief Historical Perspective of Digital Progress 1.4 What is a Role of digital social science in those contexts? 1.4.1 Definition of Digital Social Science and its Vector 1.4.2 Sociological Taxonomy 1.4.3 Interdisciplinary Taxonomy References 2. Investigating Identity 2.1 Lexical Definitions 2.1.1 From Personality Science 2.1.2 From Sociological Context 2.1.3 AI and Agents 2.2 Preconditions for Identity 2.2.1 Preconditions 2.2.2 Civil Law rules on AI and Robotics in EU 2.3 Identity and its areas in digitized society 2.4 Methodologies for Identity in digitized society References 3. Identity Ambiguity 3.1 Communications with the others 3.1.1 The Self encounters the others 3.1.2 Empathy for the others 3.2 Physical-body contact and Interconnected online contact 3.2.1 A Case: the Question for life 3.2.2 Existence of the Others 3.2.3 Other Existence as Intruder to My Space and Time 3.3 Identity as existence and representation 3.4 Dignity for Human-Being 3.4.1 Difference between Artefact and Human 3.4.1.1 Extensional Artefact of Body 3.4.1.2 Dignity 3.4.2 Barriers against Ethical Misconducts by AI 3.4.3 Trustful AI References 4. Identity Valuation 4.1 Earning Money by Big-Data 4.2 Scoring a value of your life 4.2.1 Your Digitized Scores by the AI 4.2.1.1 Scoring Services 4.2.1.2 On Value 4.2.1.3 Theories on Value 4.2.2 Internalizing the External Moral Standard through Scoring 4.2.2.1 Internalizing Value among Citizens 4.2.2.2 An Example of Social Simulation on Dominant Influence of the Value 4.2.3 Working for the Ethical Rules and Economic Valuation 4.3 Distinction: Random Selection or Modified Life 4.3.1 Genetic Therapy and its Value for Life 4.3.2 Genome Editing and Modification of Life 4.3.3 Sociological Criticisms 4.3.4 Value Chains beyond Family and Individuals 4.4 AI Optimizing Economic Satisfactions for Medical Services 4.5 Regaining Priceless Value of own Identity References 5. Identity Protection 5.1 Identity Management in social context 5.2 What Data Should be protected? 5.2.1 Individual 5.2.1.1 Level 0: Sensibility on somewhat data by physical contacts5.2.1.2 Level 1: Identification data for publicly intercommunications 5.2.1.3 Level 2: Protection as the way for access controls on privacy and sensitive private data 5.2.1.4 Level 3: Guarding private data of each individual by any external attacks in daily living 5.2.1.5 Level 4: Protections for the private rights to manage each physical-body and its parts 5.2.2 Enterprises 5.2.3 Nations 5.2.4 DataBase Management and Data Base Protection 5.3 Information Bank 5.4 Block Chain and Its Distributed Database 5.5 Rule of Conduct for Auhthority in Medical Data 5.6 Risk Management on Identity 5.6.1 Online harms and Reputation Management for each Individual
Game Theory and Fisheries Management
This book is the first to present in a systematic manner the application of game theory to fisheries management at both international and national levels. Strategic interaction among fishers and nations exploiting fishery resources is an inescapable fact of life. This has long been recognized at the international level, and is becoming increasingly recognized at the national/regional level. It follows, therefore, that, in order to be able to analyse effectively the management of these resources, the theory of strategic interaction ̶ game theory ̶ must be brought to bear. In this book the step-by-step development of the game theory is accompanied by numerous applications to the real world of fisheries management policy. As such, it is designed to appeal to policy makers and stakeholders, as well as to graduate students in Economics.
Due Date-Related Scheduling with Two Agents
This book provides an introduction to the models, methods, and results of some due date-related scheduling problems in the field of multiagent scheduling. In multiagent scheduling, two or more agents share a common processing resource and each agent wants to optimize its own objective function with respect to its own set of jobs. Since the agents have conflicting objective functions, they have to negotiate among themselves with regard to sharing the common resource to optimize their own objective functions. A key feature of due date-related scheduling concerns the way in which due dates are considered: they can be given parameters or decision variables. For the former case, the motivation stems from the need to improve inventory and production management. For the latter case, due date assignment becomes a challenging issue since the decision-maker has to balance inventory holding costs against the benefits of fulfifilling orders in time.As for due dates, this book addresses the following three different scenarios: (i) The due dates of the jobs from either one or both of the two agents are decision variables, which are determined using some due date assignment models; (ii) The due dates of jobs in each job set are considered as given parameters, whereas which due date corresponds to a given job needs to determine; and (iii) The due date of each job is exogenously given. When the last case is involved, the objective function of each agent is related to the number of just-in-time jobs that are completed exactly on their due dates.For each considered scenario, depending on the model settings, and on the objective function of each agent, this book addresses the complexity, and the design of efficient exact or approximated algorithms.This book aims at introducing the author's research achievements in due date-related scheduling with two agents. It is written for researchers and Ph.D. students working in scheduling theory and other members of scientific community who are interested in recent scheduling models. Our goal is to enable the reader to know about some new achievements on this topic.
An Introduction to Undergraduate Research in Computational and Mathematical Biology
Speaking directly to the growing importance of research experience in undergraduate mathematics programs, this volume offers suggestions for undergraduate-appropriate research projects in mathematical and computational biology for students and their faculty mentors. The aim of each chapter is twofold: for faculty, to alleviate the challenges of identifying accessible topics and advising students through the research process; for students, to provide sufficient background, additional references, and context to excite students in these areas and to enable them to successfully undertake these problems in their research.Some of the topics discussed include: - Oscillatory behaviors present in real-world applications, from seasonal outbreaks of childhood diseases to action potentials in neurons- Simulating bacterial growth, competition, and resistance with agent-based models and laboratory experiments- Network structure and the dynamics of biological systems- Using neural networks to identify bird species from birdsong samples- Modeling fluid flow induced by the motion of pulmonary ciliaAimed at undergraduate mathematics faculty and advanced undergraduate students, this unique guide will be a valuable resource for generating fruitful research collaborations between students and faculty.
Chance, Logic and Intuition
Chance rules our daily lives in many different ways. From the outcomes of the lottery to the outcomes of medical tests, from the basketball court to the court of law. The ways of chance are capricious. Bizarre things happen all the time. Nevertheless, chance has a logic of its own. It obeys the rules of probability. But if you open a standard book on probability, you may very well feel far removed from everyday life. Abstract formulas and mathematical symbols stare back at you with almost every turn of the page.This book introduces you to the logic of chance without the use of mathematical formulas or symbols. In Part One, you will meet the fascinating pioneers of the mathematics of probability, including Galileo Galilei and Blaise Pascal. Their stories will introduce you, step by step, to the basics of probability. In Part Two, various examples in all areas of daily life will show you how chance defies our expectations time and again. But armed with the basic rules of probability and a good dose of inventiveness, you will be able to unravel the counter-intuitive logic of chance.
From Analysis to Visualization
Students and researchers from all fields of mathematics are invited to read and treasure this special Proceedings. A conference was held 25 -29 September 2017 at Noah's On the Beach, Newcastle, Australia, to commemorate the life and work of Jonathan M. Borwein, a mathematician extraordinaire whose untimely passing in August 2016 was a sorry loss to mathematics and to so many members of its community, a loss that continues to be keenly felt. A polymath, Jonathan Borwein ranks among the most wide ranging and influential mathematicians of the last 50 years, making significant contributions to an exceptional diversity of areas and substantially expanding the use of the computer as a tool of the research mathematician. The contributions in this commemorative volume probe Dr. Borwein's ongoing legacy in areas where he did some of his most outstanding work: Applied Analysis, Optimization and Convex Functions; Mathematics Education; Financial Mathematics; plus Number Theory, Special Functions and Pi, all tinged by the double prisms of Experimental Mathematics and Visualization, methodologies he championed.
Predictive Analytics Using Statistics and Big Data
This book presents a selection of the latest and representative developments in predictive analytics using big data technologies. It focuses on some critical aspects of big data and machine learning and provides studies for readers. The chapters address a comprehensive range of advanced data technologies used for statistical modeling towards predictive analytics.Topics included in this book include: - Categorized machine learning algorithms- Player monopoly in cricket teams.- Chain type estimators- Log type estimators- Bivariate survival data using shared inverse Gaussian frailty models- Weblog analysis- COVID-19 epidemiologyThis reference book will be of significant benefit to the predictive analytics community as a useful guide of the latest research in this emerging field
Liouville-Riemann-Roch Theorems on Abelian Coverings
Preliminaries.- The Main Results.- Proofs of the Main Results.- Specific Examples of Liouville-Riemann-Roch Theorems.- Auxiliary Statements and Proofs of Technical Lemmas.- Final Remarks and Conclusions.
The Career of a Research Statistician
This monograph highlights the connection between the theoretical work done by research statisticians and the impact that work has on various industries. Drawing on decades of experience as an industry consultant, the author details how his contributions have had a lasting impact on the field of statistics as a whole. Aspiring statisticians and data scientists will be motivated to find practical applications for their knowledge, as they see how such work can yield breakthroughs in their field.Each chapter highlights a consulting position the author held that resulted in a significant contribution to statistical theory. Topics covered include tracking processes with change points, estimating common parameters, crossing fields with absorption points, military operations research, sampling surveys, stochastic visibility in random fields, reliability analysis, applied probability, and more. Notable advancements within each of these topics are presented by analyzing the problems facing various industries, and how solving those problems contributed to the development of the field.The Career of a Research Statistician is ideal for researchers, graduate students, or industry professionals working in statistics. It will be particularly useful for up-and-coming statisticians interested in the promising connection between academia and industry.
Deep Learning Architectures
This book describes how neural networks operate from the mathematical point of view. As a result, neural networks can be interpreted both as function universal approximators and information processors. The book bridges the gap between ideas and concepts of neural networks, which are used nowadays at an intuitive level, and the precise modern mathematical language, presenting the best practices of the former and enjoying the robustness and elegance of the latter.This book can be used in a graduate course in deep learning, with the first few parts being accessible to senior undergraduates. In addition, the book will be of wide interest to machine learning researchers who are interested in a theoretical understanding of the subject.
Orthogonal Polynomials
This book presents contributions of international and local experts from the African Institute for Mathematical Sciences (AIMS-Cameroon) and also from other local universities in the domain of orthogonal polynomials and applications. The topics addressed range from univariate to multivariate orthogonal polynomials, from multiple orthogonal polynomials and random matrices to orthogonal polynomials and Painlev矇 equations.The contributions are based on lectures given at the AIMS-Volkswagen Stiftung Workshop on Introduction of Orthogonal Polynomials and Applications held on October 5-12, 2018 in Douala, Cameroon. This workshop, funded within the framework of the Volkswagen Foundation Initiative "Symposia and Summer Schools", was aimed globally at promoting capacity building in terms of research and training in orthogonal polynomials and applications, discussions and development of new ideas as well as development and enhancement of networking including south-south cooperation.
Trigonometric Sums and Their Applications
This volume presents in a unified manner both classic as well as modern research results devoted to trigonometric sums. Such sums play an integral role in the formulation and understanding of a broad spectrum of problems which range over surprisingly many and different research areas. Fundamental and new developments are presented to discern solutions to problems across several scientific disciplines. Graduate students and researchers will find within this book numerous examples and a plethora of results related to trigonometric sums through pure and applied research along with open problems and new directions for future research.
Complex Analysis
This book discusses all the major topics of complex analysis, beginning with the properties of complex numbers and ending with the proofs of the fundamental principles of conformal mappings. Topics covered in the book include the study of holomorphic and analytic functions, classification of singular points and the Laurent series expansion, theory of residues and their application to evaluation of integrals, systematic study of elementary functions, analysis of conformal mappings and their applications-making this book self-sufficient and the reader independent of any other texts on complex variables. The book is aimed at the advanced undergraduate students of mathematics and engineering, as well as those interested in studying complex analysis with a good working knowledge of advanced calculus. The mathematical level of the exposition corresponds to advanced undergraduate courses of mathematical analysis and first graduate introduction to the discipline. The book contains a large number of problems and exercises, making it suitable for both classroom use and self-study. Many standard exercises are included in each section to develop basic skills and test the understanding of concepts. Other problems are more theoretically oriented and illustrate intricate points of the theory. Many additional problems are proposed as homework tasks whose level ranges from straightforward, but not overly simple, exercises to problems of considerable difficulty but of comparable interest.
Quantitative Economics with R
This book provides a contemporary treatment of quantitative economics, with a focus on data science. The book introduces the reader to R and RStudio, and uses expert Hadley Wickham's tidyverse package for different parts of the data analysis workflow. After a gentle introduction to R code, the reader's R skills are gradually honed, with the help of "your turn" exercises. At the heart of data science is data, and the book equips the reader to import and wrangle data, (including network data). Very early on, the reader will begin using the popular ggplot2 package for visualizing data, even making basic maps. The use of R in understanding functions, simulating difference equations, and carrying out matrix operations is also covered. The book uses Monte Carlo simulation to understand probability and statistical inference, and the bootstrap is introduced. Causal inferenceis illuminated using simulation, data graphs, and R code for applications with real economic examples, covering experiments, matching, regression discontinuity, difference-in-difference, and instrumental variables. The interplay of growth related data and models is presented, before the book introduces the reader to time series data analysis with graphs, simulation, and examples. Lastly, two computationally intensive methods--generalized additive models and random forests (an important and versatile machine learning method)--are introduced intuitively with applications. The book will be of great interest to economists--students, teachers, and researchers alike--who want to learn R. It will help economics students gain an intuitive appreciation of applied economics and enjoy engaging with the material actively, while also equipping them with key data science skills.
Computational Methods to Examine Team Communication
The primary focus of this book is an examination of longitudinal team communication and its impact on team performance. This theoretically-grounded, holistic examination of team communication includes cross-condition comparisons of team (i.e., distributed/in person, unrestricted/time pressured, two performance episodes) and employs multiple quantitative methodological approaches to examine the phenomena of interest. This book simultaneously provides practical content for researchers and practitioners in the social sciences and humanities. Included are step-by-step instructions for the methodologies employed, and distillations of findings via Managerial Minutes that highlight best practices and/or examples to help enhance team communication in practice.
Optimal Districting and Territory Design
First book to directly address districting and/or territory design problemsHighlights recent advances in the field of districting, territory design and zone designCaptures the diverse nature of districting applications in areas such as politics, sales, location/routing, and healthcare
Vector Fields with Applications to Thermodynamics and Irreversibility
This book is part of the series "Mathematics and Physics Applied to Science and Technology." The book presents the mathematical theory of partial differential equations. It includes applications to acoustic, elastic, water, electromagnetic and other waves, to the diffusion of heat, mass and electricity, and to their interactions.
Compressible Flow with Applications to Engines, Shocks and Nozzles
This book is part of the series "Mathematics and Physics Applied to Science and Technology." The book presents the mathematical theory of partial differential equations. It includes applications to acoustic, elastic, water, electromagnetic and other waves, to the diffusion of heat, mass and electricity, and to their interactions.
