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by Mario V. Wüthrich (Author), Michael Merz (Author)This open access book discusses the statistical modeling of insurance problems, a process which comprises data collection, data analysis and statistical model building to forecast insured events that may happen in the future. It presents the mathematical foundations behind these fundamental statistical concepts and how they can be applied in daily actuarial practice. Statistical modeling has a wide range of applications, and, depending on th...
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by Mario V. Wüthrich (Author), Michael Merz (Author)This open access book discusses the statistical modeling of insurance problems, a process which comprises data collection, data analysis and statistical model building to forecast insured events that may happen in the future. It presents the mathematical foundations behind these fundamental statistical concepts and how they can be applied in daily actuarial practice. Statistical modeling has a wide range of applications, and, depending on th...
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by William Easttom (Author)This expanded textbook, now in its second edition, is a practical yet in depth guide to cryptography and its principles and practices. Now featuring a new section on quantum resistant cryptography in addition to expanded and revised content throughout, the book continues to place cryptography in real-world security situations using the hands-on information contained throughout the chapters. Prolific author Dr. Chuck Easttom lays out essential math skills and fully e...
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by A. K. Kapoor (Author), Prasanta K. Panigrahi (Author), S. Sree Ranjani (Author)This book describes the Hamilton-Jacobi formalism of quantum mechanics, which allowscomputation of eigenvalues of quantum mechanical potential problems without solving for thewave function. The examples presented include exotic potentials such as quasi-exactly solvablemodels and Lame an dassociated Lame potentials. A careful application of boundary conditionsoffers an insight into the nature of solutions of seve...
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by Jorge Navarro (Author)This textbook provides the tools for a modern post-graduate introductory course on system reliability theory. It focuses on probabilistic aspects of the theory, including recent results based on signatures, stochastic orders, aging classes, copulas and distortion (or aggregation) functions. The reader requires on an introductory knowledge on probability theory and mathematics. The book serves both for graduate students in mathematics and for engineering students in va...
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by Salvatore Capozziello (Author), Wladimir-Georges Boskoff (Author)1 Newtonian Mechanics, Lagrangians and Hamiltonians 151.1 Some Words about the Priciples of Newtonian Mechanics . . . . . . . . . . . . 151.2 The Mechanical Lagrangian . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 171.3 Lagrangians and Euler-Lagrange Equations . . . . . . . . . . . . . . . . . . . . 211.4 The Mechanical Hamiltonian . . . . . . . . . . . . . . . . . . . . . . . . . . . . 241.5 Hamiltonians and Gene...
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by Elijah Liflyand (Author)- Introduction. - Classes of Functions. - Fourier Series. - Fourier Transform. - Hilbert Transform. - Hardy Spaces and their Subspaces. - Hardy Inequalities. - Certain Applications.Back JacketThis book sketches a path for newcomers into the theory of harmonic analysis on the real line. It presents a collection of both basic, well-known and some less known results that may serve as a background for future research around this topic. Many of these results are also a n...
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by Kenneth J. Berry (Author), Kenneth L. Kvamme (Author), Janis E. Johnston (Author)This book takes a unique approach to explaining permutation statistics by integrating permutation statistical methods with a wide range of classical statistical methods and associated R programs. It opens by comparing and contrasting two models of statistical inference: the classical population model espoused by J. Neyman and E.S. Pearson and the permutation model first introduced by R.A. Fisher and E.J.G. Pit...
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by Samuli Siltanen (Author), Lauri Snellman (Translator)Foreword: Mathematics, our invisible friend.- 1. My adventures in the world of mathematics.- 2. Examples of mathematical models.- 3. The large models of Earth and space.- 4. Mathematics in the service of doctors.- 5. Is humanity mathematics as well?.- Mathematics belongs to everyone.Back JacketModern life is increasingly relying on digital technology, which in turn runs on mathematics. However, this underlying math is hidden from us. Tha...
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by Göran Kauermann (Author), Helmut Küchenhoff (Author), Christian Heumann (Author)This textbook provides a comprehensive introduction to statistical principles, concepts and methods that are essential in modern statistics and data science. The topics covered include likelihood-based inference, Bayesian statistics, regression, statistical tests and the quantification of uncertainty. Moreover, the book addresses statistical ideas that are useful in modern data analytics, including bootstrappin...
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by Isaac Todhunter (Author), C. W. Bourne (Author)This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This w...
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by Robert Field (Author) Number of Pages: 64 Dimensions: 0.19 x 8.14 x 5.88 IN Publication Date: May 25, 2015
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by N. Griffin (Editor), Bernard Linsky (Author)To mark the centenary of the 1910 to 1913 publication of the monumental Principia Mathematica by Alfred N. Whitehead and Bertrand Russell, this collection of fifteen new essays by distinguished scholars considers the influence and history of PM over the last hundred years.Author BiographyPatricia Blanchette, University of Notre Dame, Indiana, USA Jolen Galaugher, University of Iowa, USA Sébastien Gandon, Université Blaise Pascal, Clermont, France...
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by Cecilia Smith (Author), Irena Rudovska (Illustrator)How much wood could a woodchuck chuck if a woodchuck could chuck wood? You may know the tongue twister, but do you know the answer? In this silly STEM Twister, two kids explore how much wood a woodchuck really could chuck, if it could chuck wood, of course. Paired with resources for teachers and caregivers, this book brings math concepts to life and gets kids excited about concepts like calculation and measurement. The STEM Twisters featu...
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by Cecilia Smith (Author), Irena Rudovska (Illustrator)How much wood could a woodchuck chuck if a woodchuck could chuck wood? You may know the tongue twister, but do you know the answer? In this silly STEM Twister, two kids explore how much wood a woodchuck really could chuck, if it could chuck wood, of course. Paired with resources for teachers and caregivers, this book brings math concepts to life and gets kids excited about concepts like calculation and measurement. The STEM Twisters featu...
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by John Vince (Author)If you have ever wondered what quaternions are - then look no further, John Vince will show you how simple and useful they are. This 2nd edition has been completely revised and includes extra detail on the invention of quaternions, a complete review of the text and equations, all figures are in colour, extra worked examples, an expanded index, and a bibliography arranged for each chapter. Quaternions for Computer Graphics includes chapters on number sets and algebra, im...
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by Jan Faye (Editor), Henry Folse (Editor)Niels Bohr and Philosophy of Physics: Twenty-First Century Perspectives examines the philosophical views, influences and legacy of the Nobel Prize physicist and philosophical spokesman of the quantum revolution, Niels Bohr.The sixteen contributions in this collection by some of the best contemporary philosophers and physicists writing on Bohr's philosophy today all carefully distinguish his subtle and unique interpretation of quantum mechanics from vi...
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by Rod Rammage (Author)Caveman Teach Children Metric System is a beautifully illustrated story which will entertain and educate. Caveman explains the complete Metric System in an easy to understand format. In the story, Caveman is tasked with creating a measurement system so the people in Kilo Village can build straight buildings. Caveman accomplishes this job with his loyal companion, Meter Dog. Caveman and Meter Dog assign different units comparing the sizes of various animals; this will gi...
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by Mohammed Hichem Mortad (Author)- 1. Classical Versions and Some Historical Notes. - 2. Generalizations to Bounded Nonnormal Operators. - 3. Asymptotic Versions. - 4. Generalizations of the Fuglede-Putnam Theorem to Banach Algebras and Spaces. - 5. Generalizations to Unbounded Operators. - 6. Some Applications. - 7. Some Other Intertwining Relations. - 8. Conjectures.Back JacketThis book is essentially a survey of results on the Fuglede-Putnam theorem and its generalizations in a wide varie...
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by Ivo D. Dinov (Author)This textbook integrates important mathematical foundations, efficient computational algorithms, applied statistical inference techniques, and cutting-edge machine learning approaches to address a wide range of crucial biomedical informatics, health analytics applications, and decision science challenges. Each concept in the book includes a rigorous symbolic formulation coupled with computational algorithms and complete end-to-end pipeline protocols implemented as func...
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by Edmond W. H. Lee (Author)Back JacketThis monograph thoroughly explores the development of the theory of varieties of semigroups and of two related algebras: involution semigroups and monoids. Through this in-depth analysis, readers will attain a deeper understanding of the differences between these three types of varieties, which may otherwise seem counterintuitive. New results with detailed proofs are also presented that answer previously unsolved fundamental problems. Featuring both a co...
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by Elena Parilina (Author), Puduru Viswanadha Reddy (Author), Georges Zaccour (Author)This textbook provides a comprehensive overview of noncooperative and cooperative dynamic games involving uncertain parameter values, with the stochastic process being described by an event tree. Primarily intended for graduate students of economics, management science and engineering, the book is self-contained, as it defines and illustrates all relevant concepts originally introduced in static games before...
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by Avy Soffer (Author), Chris Stucchio (Author), Minh-Binh Tran (Author)This book introduces an interesting and alternative way to design absorbing boundary conditions (ABCs) for quantum wave equations, basically the nonlinear Schrödinger equation. The focus of this book is the application of the phase space filter approach to derive accurate radiation conditions for Schrödinger equations.Researchers who are interested in partial differential equations and mathematical physics might find this...
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by Marcel Van Oijen (Author), Mark Brewer (Author)The book shows how risk, defined as the statistical expectation of loss, can be formally decomposed as the product of two terms: hazard probability and system vulnerability. This requires a specific definition of vulnerability that replaces the many fuzzy definitions abounding in the literature. The approach is expanded to more complex risk analysis with three components rather than two, and with various definitions of hazard. Equations are de...
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by Pieter Kok (Author)In this undergraduate textbook, now in its 2nd edition, the author develops the quantum theory from first principles based on very simple experiments: a photon traveling through beam splitters to detectors, an electron moving through magnetic fields, and an atom emitting radiation. From the physical description of these experiments follows a natural mathematical description in terms of matrices and complex numbers.The first part of the book examines how experimental fact...
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by Ignacio Zalduendo (Author)This textbook provides a gentle overview of fundamental concepts related to one-variable calculus. The original approach is a result of the author's forty years of experience in teaching the subject at universities around the world. In this book, Dr. Zalduendo makes use of the history of mathematics and a friendly, conversational approach to attract the attention of the student, emphasizing what is more conceptually relevant and putting key notions in a historical...
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by Neha Sharma (Editor), Mandar Bhatavdekar (Editor)Chapter 1. Dynamic Demand Planning for Distorted Historical Data Due to Pandemic.- Chapter 2. Cognitive Models to Predict Pipeline Leaks and Ruptures.- Chapter 3. Network Optimization of the Electricity Grid to manage Distributed Energy Resources using Data & Analytics.- Chapter 4. Enhancing Market Agility Through Accurate Price Indicators using Contextualized Data Analytics.- Chapter 5. Infrastructure for Automated Surface Damage Classi...
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by Prakash Sah (Author)This is the first of its kind book that describes key elements of enterprise data and analytics strategy, and prescribes a pragmatic approach to define the strategy for large enterprises. The book is based on successful digital transformation experience of multiple Fortune 500 and other large enterprises. It is estimated that more than 50% of data and analytics initiatives fail globally because of the inherent complexity of such initiatives. Some of the questions that e...
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by Maurizio Petrelli (Author)Part I Python for Geologists, a kick-off; 1. Setting Up Your Python Environment, Easily; 2. Python Essentials for a Geologist; 3. Start Solving Geological Problems Using Python; Part II Describing Geological Data; 4. Graphical Visualization of a Geological Dataset; 5. Descriptive Statistics; Part III Integrals and Differential Equations in Geology; 6. Numerical Integration; 7. Ordinary Differential Equations (ODE); 8. Partial Differential Equations (PDE); Part IV ...
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by James U. Gleaton (Author), David Han (Author), James D. Lynch (Author)​This book presents a critical overview of statistical fiber bundle models, including existing models and potential new ones. The authors focus on both the physical and statistical aspects of a specific load-sharing example: the breakdown for circuits of capacitors and related dielectrics. In addition, they investigate some areas of open research.This book is designed for graduate students and researchers in statistics, ...
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by Vladimir Ryzhov (Author), Tatiana Fedorova (Author), Kirill Safronov (Author)This book provides ideas for implementing Wolfram Mathematica to solve linear integral equations. The book introduces necessary theoretical information about exact and numerical methods of solving integral equations. Every method is supplied with a large number of detailed solutions in Wolfram Mathematica. In addition, the book includes tasks for individual study.This book is a supplement for students studying "In...
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by Song Yang (Author), Nan He (Author), Fan Li (Author)Network Function Virtualization (NFV) has recently attracted considerable attention from both research and industrial communities. Numerous papers have been published regarding solving the resource- allocation problems in NFV, from various perspectives, considering different constraints, and adopting a range of techniques. However, it is difficult to get a clear impression of how to understand and classify different kinds of resource allo...