Formulas

Murderous Maths Collection 10 Books Set. Titles in the Set The Phantom X, Desperate Measures, The Perfect Sausage and Other Fundamental Formulas, Guaranteed to Bend your Brain, Do you Feel Lucky, Awesome Arithmetricks, Savage Shapes, Guaranteed to Mash your Mind, The Key to the Universe, Easy Questions Evil Answers. Murderous Maths set by Kjartan Poskitt. Guaranteed to smash your mind features maths with the laughs added in, along with tricks, tips & short-cuts.

AT LAST, a shrewd and clear-cut flight-plan to personal fulfillment!Few subjects are as important as this -and very few books are as extraordinary as this one. As you read it you will gain a formidabl

Bringing together over twenty years of research, this book gives a complete overview of independence-friendly logic. It emphasizes the game-theoretical approach to logic, according to which logical concepts such as truth and falsity are best understood via the notion of semantic games. The book pushes the paradigm of game-theoretical semantics further than the current literature by showing how mixed strategies and equilibria can be used to analyze independence-friendly formulas on finite models. The book is suitable for graduate students and advanced undergraduates who have taken a course on first-order logic. It contains a primer of the necessary background in game theory, numerous examples and full proofs.

This reference book provides the main definitions, theorems and techniques in the theory of Birkhoff interpolation by polynomials. The book begins with an article by G. G. Lorentz that discusses some of the important developments in approximation and interpolation in the last twenty years. It presents all the basic material known at the present time in a unified manner. Topics discussed include; applications of Birkhoff interpolation to approximation theory, quadrature formulas and Chebyshev systems; lacunary interpolation at special knots and an introduction to the theory of Birkhoff interpolation by splines.

The interacting boson model was introduced in 1974 as an attempt to describe collective properties of nuclei in a unified way. Since 1974, the model has been the subject of many investigations and it has been extended to cover most aspects of nuclear structure. This book gives an account of the properties of the interacting boson model. In particular, this book presents the mathematical techniques used to analyze the structure of the model. It also collects in a single, easily accessible reference all the formulas that have been developed throughout the years to account for collective properties of nuclei. Suitable for both theorists and experimentalists.

Written for a broad audience of students in mathematics, computer science, operations research, statistics, and engineering, this textbook presents a short, lively survey of several fascinating non-calculus topics in modern applied mathematics. Coverage includes probability, mathematical finance, graphs, linear programming, statistics, computer science algorithms, and groups. A key feature is the abundance of interesting examples not normally found in standard finite mathematics courses, such as options pricing and arbitrage, tournaments, and counting formulas. The author assumes a level of mathematical sophistication at the beginning calculus level, that is, students should have had at least a course in pre-calculus, and the added sophistication attained from studying calculus would be useful.

The interacting boson model was introduced in 1974 as an attempt to describe collective properties of nuclei in a unified way. Since 1974, the model has been the subject of many investigations and it has been extended to cover most aspects of nuclear structure. This book gives an account of the properties of the interacting boson model. In particular, this book presents the mathematical techniques used to analyze the structure of the model. It also collects in a single, easily accessible reference all the formulas that have been developed throughout the years to account for collective properties of nuclei. Suitable for both theorists and experimentalists.

This reference book provides the main definitions, theorems and techniques in the theory of Birkhoff interpolation by polynomials. The book begins with an article by G. G. Lorentz that discusses some of the important developments in approximation and interpolation in the last twenty years. It presents all the basic material known at the present time in a unified manner. Topics discussed include; applications of Birkhoff interpolation to approximation theory, quadrature formulas and Chebyshev systems; lacunary interpolation at special knots and an introduction to the theory of Birkhoff interpolation by splines.

Special deluxe edition of The Psychology of Money with new bonus chapter content from Morgan Housel. Limited edition while supplies last. The Sunday Times Number One Bestseller.Over 8 million copies sold around the world. The original book from Morgan Housel, the New York Times bestselling author of Same As Ever. As featured on the Dr Chatterjee podcast Feel Better, Live More and the Diary of a CEO podcast with Steven Bartlett.Doing well with money isn't necessarily about what you know. It's about how you behave. And behavior is hard to teach, even to really smart people.Money – investing, personal finance, and business decisions – is typically taught as a math-based field, where data and formulas tell us exactly what to do. But in the real world people don't make financial decisions on a spreadsheet. They make them at the dinner table, or in a meeting room, where personal history, your own unique view of the world, ego, pride, marketing, and odd incentives are scrambled together.In Th

Discover the official resource for success on the 2025 CFA Level II exam. Get your copy of the CFA® Program Curriculum now.The 2025 CFA Program Curriculum Level II Box Set contains the content you need to perform well on the Level II CFA exam in 2025. Designed for candidates to use for exam preparation and professional reference purposes, this set includes the full official curriculum for Level II and is part of the larger CFA Candidate Body of Knowledge (CBOK).Organized to get you accustomed to the Level II exam’s heavy reliance on vignettes, the Level II curriculum will help you master mini case studies and accompanying analyses.The 2025 CFA Program Curriculum Level II Box Set allows you to:Develop critical knowledge and skills essential in the industry.Learn from financial thought leaders.Access market-relevant instruction.The set also offers practice questions to assist with your mastery of key terms, concepts, and formulas. The volumes in the Level II box set are:Volume 1: Quantit

Guide to making accurate business valuations based on investing metrics that matter In The Little Book of Valuation: How to Value a Company, Pick a Stock, and Profit, professor and economist Aswath Damodaran guides readers through the fundamentals and step-by-step process of picking winning companies to invest in. In the book, you'll learn how to make your own accurate valuation assessments, avoiding common pitfalls and mistakes along the way. From widespread misunderstandings to undeniable truths in valuation, the author covers exactly where to turn your attention to when assessing a company's value based on a myriad of factors, with stories and real examples included throughout to prepare you for any modern investing challenge you may find yourself facing. You'll also learn: Simple but extremely effective valuation tools and formulas for successThe complex relationship between assets, debt, equity, and business valueSpecial market considerations regarding valuation that require a dyn

A pick-your-own-style quilt book featuring 30+ quilt blocks, 8 quilt top layout formulas, and all the math done for you so you can focus on creating your own design! In this design-it-yourself quilt book, the quilter is in the driver's seat, empowering you to decide what size, layout, and combinations of blocks you want to use to create your own one-of-a-kind quilt. Unlike a traditional book of quilt patterns, this book does not prescribe a design. Instead, Quilting Adventures gives you a range of block options that all work together so that you can pick and choose and mix and match those blocks to create your own unique design. The book encourages and supports you, the quilter, as you explore designing your own pattern, providing all the tedious legwork (a.k.a. the math) so that you can focus on creating a final design that is all your own. In addition there will also be a suite of pre-designed patterns as inspiration for anyone who prefers a little extra structure to start. Quilting

The fifth novel in the bestselling Graceling Realm series is told from the point of view of Hava, Queen Bitterblue’s sister and spy, and chronicles the harrowing journey back to Monsea.Hava sails across the sea toward Monsea with her sister, the royal entourage, and the world’s only copies of the formulas for the zilfium weapon she saved at the end of Winterkeep. During the crossing, Hava makes an unexpected discovery about one of the ship’s crew, but before she can unravel the mystery, storms drive their ship off course, wrecking them in the ice far north of the Royal Continent. The survivors must endure a harrowing trek across the ice to make it back to Monsea. And while Queen Bitterblue grapples with how to carry the responsibility of a weapon that will change the world, Hava has a few more mysteries to solve ―and a decision to make about who she wants to be in the new world Bitterblue will build.

This book presents methods for the summation of infinite and finite series and the related identities and inversion relations. The summation includes the column sums and row sums of lower triangular matrices. The convergence of the summation of infinite series is considered. The author's focus is on symbolic methods and the Riordan array approach. In addition, this book contains hundreds summation formulas and identities, which can be used as a handbook for people working in computer science, applied mathematics, and computational mathematics, particularly, combinatorics, computational discrete mathematics, and computational number theory. The exercises at the end of each chapter help deepen understanding.Much of the materials in this book has never appeared before in textbook form. This book can be used as a suitable textbook for advanced courses for high lever undergraduate and lower lever graduate students. It is also an introductory self-study book for re- searchers interested in t

Smart Agrochemicals for Sustainable Agriculture proposes products that fulfill the need for chemicals that provide a sustainable delivery system for nutrients necessary to maximize production of agricultural animals and plants while producing the smallest possible environmental footprint. Over the past decade, biobased chemicals have received significant attention as candidate resource materials in fertilizers and agrochemicals production due to their renewability. Substitution of conventional raw materials with biobased requires a new approach towards development of technology. On the other hand, the use of biobased chemicals, such as biostimulants, bioregulators, biofertilizers offers a host of a new palette of products which are natural and thus their application does not pose an impact on the environment (residues), nor the cultivated plants. This book addresses all aspects related to the production process, including chemical formulas, stability of formulations, and the applicatio

GET UP TO SPEED WITH FAST TRACK: GEOMETRY! Covering the most important material taught in high school geometry classes, this essential review book gets readers on the fast track to class success, with critical information presented in an easy-to-follow quick-study format!Inside this book, you’ll find:• Clear, concise summaries of the most important concepts, formulas, and geometric skills• Diagrams, charts, and graphs for quick visual reference• Easy-to-follow content organization and illustrationsWith its friendly, straightforward approach and a clean, colorful modern design crafted to appeal to visual learners, this guidebook is perfect for catching up in class or getting ahead on exam review.Topics covered in Fast Track: Geometry include:• Key terms• Angles• Polygons• Circles• Congruence and similarity• Constructions• Transformations• Trigonometry• Three-dimensional figures• Reasoning and proofs• Perimeter, area, and volume…and more!

This collection of problems in Quantum Field Theory, accompanied by their complete solutions, aims to bridge the gap between learning the foundational principles and applying them practically. The carefully chosen problems cover a wide range of topics, starting from the foundations of Quantum Field Theory and the traditional methods in perturbation theory, such as LSZ reduction formulas, Feynman diagrams and renormalization. Separate chapters are devoted to functional methods (bosonic and fermionic path integrals; worldline formalism), to non-Abelian gauge theories (Yang-Mills theory, Quantum Chromodynamics), to the novel techniques for calculating scattering amplitudes and to quantum field theory at finite temperature (including its formulation on the lattice, and extensions to systems out of equilibrium). The problems range from those dealing with QFT formalism itself to problems addressing specific questions of phenomenological relevance, and they span a broad range in difficulty, f

This collection of problems in Quantum Field Theory, accompanied by their complete solutions, aims to bridge the gap between learning the foundational principles and applying them practically. The carefully chosen problems cover a wide range of topics, starting from the foundations of Quantum Field Theory and the traditional methods in perturbation theory, such as LSZ reduction formulas, Feynman diagrams and renormalization. Separate chapters are devoted to functional methods (bosonic and fermionic path integrals; worldline formalism), to non-Abelian gauge theories (Yang-Mills theory, Quantum Chromodynamics), to the novel techniques for calculating scattering amplitudes and to quantum field theory at finite temperature (including its formulation on the lattice, and extensions to systems out of equilibrium). The problems range from those dealing with QFT formalism itself to problems addressing specific questions of phenomenological relevance, and they span a broad range in difficulty, f

This classic work has been a unique resource for thousands of mathematicians, scientists and engineers since its first appearance in 1902. Never out of print, its continuing value lies in its thorough and exhaustive treatment of special functions of mathematical physics and the analysis of differential equations from which they emerge. The book also is of historical value as it was the first book in English to introduce the then modern methods of complex analysis. This fifth edition preserves the style and content of the original, but it has been supplemented with more recent results and references where appropriate. All the formulas have been checked and many corrections made. A complete bibliographical search has been conducted to present the references in modern form for ease of use. A new foreword by Professor S.J. Patterson sketches the circumstances of the book's genesis and explains the reasons for its longevity. A welcome addition to any mathematician's bookshelf, this will all

Your GMAT prep begins here. Designed by the makers of the GMAT exam. Your official source of real GMAT questions from past exams. Study with practice questions from past GMAT exams. Get comprehensive practice by studying with over 1,000 questions across quantitative and verbal reasoning, analytical writing, and integrated reasoning. Answer explanations included so that you can study the reasoning behind the answers to help improve your performance. The questions in each section are organized by difficulty level: easy, medium and hard. Start at the beginning and work your way up to the hard questions as you build upon your knowledge. The GMAT Official Guide 2022 provides 3 ways to study: Book: Know what to expect on the GMAT exam Learn the exam structure: Start with the verbal and quantitative review chapters followed by practice questions. Review common quantitative formulas and concepts using quick reference sheets. Master verbal and quantitative reasoning by difficulty level and stud

This is a complete solution guide to all exercises from Chapters 1 to 20 in Rudin's Real and Complex Analysis. The features of this book are as follows: It covers all the 397 exercises from Chapters 1 to 20 with detailed and complete solutions. As a matter of fact, my solutions show every detail, every step and every theorem that I applied.There are 40 illustrations for explaining the mathematical concepts or ideas used behind the questions or theorems.Sections in each chapter are added so as to increase the readability of the exercises.Different colors are used frequently in order to highlight or explain problems, lemmas, remarks, main points/formulas involved, or show the steps of manipulation in some complicated proofs. (ebook only)Necessary lemmas with proofs are provided because some questions require additional mathematical concepts which are not covered by Rudin.Many useful or relevant references are provided to some questions for your future research.

This is a complete solution guide to all exercises from Chapters 10 to 20 in Rudin's Real and Complex Analysis. The features of this book are as follows: It covers all the 221 exercises from Chapters 10 to 20 with detailed and complete solutions. As a matter of fact, my solutions show every detail, every step and every theorem that I applied.There are 29 illustrations for explaining the mathematical concepts or ideas used behind the questions or theorems.Sections in each chapter are added so as to increase the readability of the exercises.Different colors are used frequently in order to highlight or explain problems, lemmas, remarks, main points/formulas involved, or show the steps of manipulation in some complicated proofs. (ebook only)Necessary lemmas with proofs are provided because some questions require additional mathematical concepts which are not covered by Rudin.Many useful or relevant references are provided to some questions for your future research.

This is the first in-depth study of the first three ICC trials: an engaging, accessible text meant for specialists and students, for legal advocates and a wide range of professionals concerned with diverse cultures, human rights, and restorative justice. It introduces international justice and courtroom trials in practical terms, offering a balanced view on persistent tensions and controversies. Separate chapters analyze the working realities of central African armed conflicts, finding reasons for their surprising resistance to ICC legal formulas. The book dissects the Court's structural dynamics, which were designed to steer an elusive middle course between high moral ideals and hard political realities. Detailed chapters provide vivid accounts of courtroom encounters with four Congolese suspects. The mixed record of convictions, acquittals, dissents, and appeals, resulting from these trials, provides a map of distinct fault-lines within the ICC legal code, and suggests a rocky path a

Modern economics tantalizes historians, promising them a set of simple verbal and mathematical formulas to explain and even retrospectively predict historical actions and choices. Colin P. Elliott challenges economic historians to rethink the way they use economic theory. Building upon the approaches of Max Weber, R. G. Collingwood, Ludwig von Mises and others, Elliott reconceptualizes economic theories such as the quantity theory of money and Gresham's law as heuristic constructs - constructs which help historians identify and understand the unique modes of thought and embedding contexts which characterized economic action in the Roman Empire. The book offers novel analyses of key events in Roman monetary history, from Augustus' triumph over Mark Antony and Cleopatra, to third-century AD coinage debasements. Roman history has long been a battleground for polarizing methodological debates, but this book's accessible style and conciliatory tone invites historians, economists, sociologis

This book provides an introduction to modern homotopy theory through the lens of higher categories after Joyal and Lurie, giving access to methods used at the forefront of research in algebraic topology and algebraic geometry in the twenty-first century. The text starts from scratch - revisiting results from classical homotopy theory such as Serre's long exact sequence, Quillen's theorems A and B, Grothendieck's smooth/proper base change formulas, and the construction of the Kan–Quillen model structure on simplicial sets - and develops an alternative to a significant part of Lurie's definitive reference Higher Topos Theory, with new constructions and proofs, in particular, the Yoneda Lemma and Kan extensions. The strong emphasis on homotopical algebra provides clear insights into classical constructions such as calculus of fractions, homotopy limits and derived functors. For graduate students and researchers from neighbouring fields, this book is a user-friendly guide to advanced tools

This textbook, based on the authors' fifteen years of teaching, is a complete teaching tool for turning students into logic designers in one semester. Each chapter describes new concepts, giving extensive applications and examples. Assuming no prior knowledge of discrete mathematics, the authors introduce all background in propositional logic, asymptotics, graphs, hardware and electronics. Important features of the presentation are: • All material is presented in full detail. Every designed circuit is formally specified and implemented, the correctness of the implementation is proved, and the cost and delay are analyzed • Algorithmic solutions are offered for logical simulation, computation of propagation delay and minimum clock period • Connections are drawn from the physical analog world to the digital abstraction • The language of graphs is used to describe formulas and circuits • Hundreds of figures, examples and exercises enhance understanding. The extensive website (http://www.en

Perfect for senior undergraduates and first-year graduate students in geophysics, physics, mathematics, geology and engineering, this book is devoted exclusively to seismic wave theory. The result is an invaluable teaching tool, with its detailed derivations of formulas, clear explanations of topics, exercises along with selected answers, and an additional set of exercises with derived answers on the book's website. Some highlights of the text include: a review of vector calculus and Fourier transforms and an introduction to tensors, which prepare readers for the chapters to come; and a detailed discussion on computing reflection and transmission coefficients, a topic of wide interest in the field; a discussion in later chapters of plane waves in anisotropic and anelastic media, which serves as a useful introduction to these two areas of current research in geophysics. Students will learn to understand seismic wave theory through the book's clear and concise pedagogy.

This book shows that the semantic analysis of modal notions of possibility and necessity can be used to enhance our understanding of the interpretation of reports of belief or emotional state. It introduces intuitive notation and terminology to express ideas in modern theories of modal interpretation that are normally represented in complex logical formulas, effectively updates the 1960s-era link between possible worlds and the semantics of propositional attitude ascriptions, and reconciles two disparate views of the role of events in semantic interpretation, that of Donald Davidson and that of David Lewis. It reduces a host of variable behaviors of propositional attitude ascription to an intuitive and precise distinction between ascriptions that merely express a commitment to propositional content versus ones that attribute a mental state to the holder of the propositional attitude. This leads to an explanation of the nature and effects of the language disorder of fluent aphasia.

functions and Hecke L-functions of an imaginary quadratic field，and various problems on elliptic modular forms. As to the values of Dirichlet L-functions， all previous papers and books reiterate a single old result with a single old method. After a review ofelementary Fourier analysis， the author presents completely new results with new methods. though old results will also be proved. No advanced knowledge of number theory is required up to this point. As applications， new formulas for the second factor ofthe class number of a cyclotomic field will be given. The second half of the book assumes familiarity with basic knowledge ofmodular forms. However，all definitions and facts are clearly stated， and precise references are given. The notion ofnearly holomorphic modular forms is introduced and applied to the determination of the critical values of Hecke L-functions of an imaginary quadratic field. Other notable features of the book are： (1) some new results on classical E

This combination of text and reference book describes the physical, plasma and chemical processes controlling the behaviour of ionospheres, upper atmospheres and exospheres. It summarises the structure, chemistry, dynamics and energetics of the terrestrial ionosphere and other solar system bodies, and discusses the processes, mechanisms and transport equations for solving fundamental research problems. This second edition incorporates new results, model developments and interpretations from the last ten years. It includes the latest material on neutral atmospheres; the terrestrial ionosphere at low, middle and high latitudes; and planetary atmospheres and ionospheres, where results from recent space missions have yielded fresh data. Appendices outline physical constants, mathematical formulas, transport coefficients, and other important parameters for ionospheric calculations. This is an essential resource for researchers studying ionospheres, upper atmospheres, aeronomy and plasma phy

Learn to calculate drug dosages safely and accurately! Math Calculations for Pharmacy Technicians, 3rd Edition helps you master the competencies required by the American Society of Health-System Pharmacists (ASHP). Designed specifically for Pharmacy Technicians, this practical worktext simplifies key calculation concepts and lets you work through hundreds of practice problems. Coverage includes a review of basic math skills, conversions between measurement systems, interpreting drug labels and physicians' orders, and calculating medication dosages based on a patient's age or body weight. The worktext format distills complex content into easy-to-understand concepts and calculations. Math Calculations for Pharmacy Technicians helps you develop the competencies you'll need for a successful career as a Pharmacy Technician.Hundreds of practice problems throughout covering calculations, conversions, and measurements.Step-by-step examples to break down complex equations and formulas into simp

A comprehensive account of both basic and advanced material in phylogeny estimation, focusing on computational and statistical issues. No background in biology or computer science is assumed, and there is minimal use of mathematical formulas, meaning that students from many disciplines, including biology, computer science, statistics, and applied mathematics, will find the text accessible. The mathematical and statistical foundations of phylogeny estimation are presented rigorously, following which more advanced material is covered. This includes substantial chapters on multi-locus phylogeny estimation, supertree methods, multiple sequence alignment techniques, and designing methods for large-scale phylogeny estimation. The author provides key analytical techniques to prove theoretical properties about methods, as well as addressing performance in practice for methods for estimating trees. Research problems requiring novel computational methods are also presented, so that graduate stud

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the third publication in the Perspectives in Logic series, is a much-needed monograph on the metamathematics of first-order arithmetic. The authors pay particular attention to subsystems (fragments) of Peano arithmetic and give the reader a deeper understanding of the role of the axiom schema of induction and of the phenomenon of incompleteness. The reader is only assumed to know the basics of mathematical logic, which are reviewed in the preliminaries. Part I develops parts of mathematics and logic in various fragments. Part II is devoted to incompleteness. Finally, Part III studies systems that have the induction schema restricted to bounded formulas (bounded arithmetic).

Statistics is one of the most practical and essential courses that you will take, and a primary goal of this popular text is to make the task of learning statistics as simple as possible. Straightforward instruction, built-in learning aids, and real-world examples have made STATISTICS FOR THE BEHAVIORAL SCIENCES, 10th Edition the text selected most often by instructors for their students in the behavioral and social sciences. The authors provide a conceptual context that makes it easier to learn formulas and procedures, explaining why procedures were developed and when they should be used. This text will also instill the basic principles of objectivity and logic that are essential for science and valuable in everyday life, making it a useful reference long after you complete the course.

This thorough work presents the fundamental results of modular function theory as developed during the nineteenth and early-twentieth centuries. It features beautiful formulas and derives them using skillful and ingenious manipulations, especially classical methods often overlooked today. Starting with the work of Gauss, Abel, and Jacobi, the book then discusses the attempt by Dedekind to construct a theory of modular functions independent of elliptic functions. The latter part of the book explains how Hurwitz completed this task and includes one of Hurwitz's landmark papers, translated by the author, and delves into the work of Ramanujan, Mordell, and Hecke. For graduate students and experts in modular forms, this book demonstrates the relevance of these original sources and thereby provides the reader with new insights into contemporary work in this area.

This comprehensive, full-color guide provides detailed, easy-to-follow instructions for making and using approximately 250 herbal medicines at home, including practical tips and numerous effective formulas developed and tested by the authors, both expert herbalists with years of experience. Readers who appreciate the health-giving properties of herbal medicines but are discouraged by the high price of commercial products can now make their own preparations for a fraction of the cost. The authors tell you everything you need to know about harvesting, preparing, and administering herbs in many different forms, including fresh, bulk dried herbs, capsules, extracts in water, alcohol, glycerin, vinegar and oil, and even preparations like essential oils and flower essences. The book also covers topical applications of herbs as salves, lotions, poultices, tooth powders, ear drops, and more, and includes an extensive chapter on herbal hydrotherapy.The Modern Herbal Dispensary explains why diff

Networks are everywhere, from the internet, to social networks, and the genetic networks that determine our biological existence. Illustrated throughout in full colour, this pioneering textbook, spanning a wide range of topics from physics to computer science, engineering, economics and the social sciences, introduces network science to an interdisciplinary audience. From the origins of the six degrees of separation to explaining why networks are robust to random failures, the author explores how viruses like Ebola and H1N1 spread, and why it is that our friends have more friends than we do. Using numerous real-world examples, this innovatively designed text includes clear delineation between undergraduate and graduate level material. The mathematical formulas and derivations are included within Advanced Topics sections, enabling use at a range of levels. Extensive online resources, including films and software for network analysis, make this a multifaceted companion for anyone with an

This book shows that the semantic analysis of modal notions of possibility and necessity can be used to enhance our understanding of the interpretation of reports of belief or emotional state. It introduces intuitive notation and terminology to express ideas in modern theories of modal interpretation that are normally represented in complex logical formulas, effectively updates the 1960s-era link between possible worlds and the semantics of propositional attitude ascriptions, and reconciles two disparate views of the role of events in semantic interpretation, that of Donald Davidson and that of David Lewis. It reduces a host of variable behaviors of propositional attitude ascription to an intuitive and precise distinction between ascriptions that merely express a commitment to propositional content versus ones that attribute a mental state to the holder of the propositional attitude. This leads to an explanation of the nature and effects of the language disorder of fluent aphasia.

With this comprehensive guide you will learn how to apply Bayesian machine learning techniques systematically to solve various problems in speech and language processing. A range of statistical models is detailed, from hidden Markov models to Gaussian mixture models, n-gram models and latent topic models, along with applications including automatic speech recognition, speaker verification, and information retrieval. Approximate Bayesian inferences based on MAP, Evidence, Asymptotic, VB, and MCMC approximations are provided as well as full derivations of calculations, useful notations, formulas, and rules. The authors address the difficulties of straightforward applications and provide detailed examples and case studies to demonstrate how you can successfully use practical Bayesian inference methods to improve the performance of information systems. This is an invaluable resource for students, researchers, and industry practitioners working in machine learning, signal processing, and sp

The recent financial crisis has heightened the need for appropriate methodologies for managing and monitoring complex risks in financial markets. The measurement, management, and regulation of risks in portfolios composed of credits, credit derivatives, or life insurance contracts is difficult because of the nonlinearities of risk models, dependencies between individual risks, and the several thousands of contracts in large portfolios. The granularity principle was introduced in the Basel regulations for credit risk to solve these difficulties in computing capital reserves. In this book, authors Patrick Gagliardini and Christian Gouriéroux provide the first comprehensive overview of the granularity theory and illustrate its usefulness for a variety of problems related to risk analysis, statistical estimation, and derivative pricing in finance and insurance. They show how the granularity principle leads to analytical formulas for risk analysis that are simple to implement and accurate e