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Exceptionally student-friendly, now with over 150 new exercises, key concept summaries, and a new chapter on machine learning algorithms.
Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics, medicine, computer science, and information theory. The print book version includes a code that provides free access to an eBook version. The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they use stories to uncover connections between the fundamental distributions in statistics and conditioning to reduce complicated problems to manageable pieces. The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment.
The book provides a concise and handy reference guide to the numerous recipes for the making up of chemical solutions used in laboratories. It is intended for the laboratory worker in industry and in research as well as in teaching institutions. The majority of bench solutions are common to chemistry, biology and other laboratories.
"Homotopy Analysis Method in Nonlinear Differential Equations" presents the latest developments and applications of the analytic approximation method for highly nonlinear problems, namely the homotopy analysis method (HAM). Unlike perturbation methods, the HAM has nothing to do with small/large physical parameters. In addition, it provides great freedom to choose the equation-type of linear sub-problems and the base functions of a solution. Above all, it provides a convenient way to guarantee the convergence of a solution. This book consists of three parts. Part I provides its basic ideas and theoretical development. Part II presents the HAM-based Mathematica package BVPh 1.0 for nonlinear b...
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People are being forced today to take a stand on same-sex marriage, assisted suicide and capital punishment. As they ponder how to vote on these issues, a critical question emerges: Is this morally right? At the same time people have become confused about the morality of sex in general. What should they teach their teenagers and how talk with their older sons and daughters about living together. Undergirding current sexual practice is the unquestioned acceptance of contraception. Should contraception be explicitly examined? Besides clarifying each issue I let the reader know what the Church teaches (using the Catechism of the Catholic Church and Pope John Paul IIs encyclicals). And I show ho...
Do you know what minions are? I would describe them as naughty little creatures with no self-control. Sounds like your kid, right? That is why you need this book. "The Science of Self-Control for Kids" is a fun illustrative book full of practical strategies, interesting worksheets and interactive activities on self-control for your little minions. Self-control refers to the ability to manage your behavior, thoughts and emotions to achieve a long-term objective. Delaying pleasure, managing urges, pushing through obstacles, dealing with stress, waiting patiently for your turn, and regulating emotional outbursts are all examples of how a kid can show self-control. The Dunedin Multidisciplinary ...
This book proposes a set of models to describe fuzzy multi-objective decision making (MODM), fuzzy multi-criteria decision making (MCDM), fuzzy group decision making (GDM) and fuzzy multi-objective group decision-making problems, respectively. It also gives a set of related methods (including algorithms) to solve these problems. One distinguishing feature of this book is that it provides two decision support systems software for readers to apply these proposed methods. A set of real-world applications and some new directions in this area are then described to further instruct readers how to use these methods and software in their practice.