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書名: Elements of Information Theory 作者:T.M.COVER 條碼 : 9780471241959 版次: 2 出版商: Wiley 年份: 2006
書名: | Elements of Information Theory (2版) | |||
作者: | COVER | |||
版次: | 2 | |||
ISBN: | 9780471241959 | |||
出版社: | John Wiley | |||
書籍開數、尺寸: | 23.6x16x4.1 | |||
頁數: | 748 | |||
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#數學與統計學 #資訊科學與資訊系統 |
詳細資訊
書名: Elements of Information Theory 作者:T.M.COVER 條碼 : 9780471241959 版次: 2 出版商: Wiley 年份: 2006
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書名:GAME-THEORETIC FOUNDATIONS FOR PROBABILITY AND FINANCE 作者:SHAFER 出版年:2021 出版社:John Wiley ISBN:9780470903056 內容簡介: DESCRIPTION Game-theoretic probability and finance come of age Glenn Shafer and Vladimir Vovk’s Probability and Finance, published in 2001, showed that perfect-information games can be used to define mathematical probability. Based on fifteen years of further research, Game-Theoretic Foundations for Probability and Finance presents a mature view of the foundational role game theory can play. Its account of probability theory opens the way to new methods of prediction and testing and makes many statistical methods more transparent and widely usable. Its contributions to finance theory include purely game-theoretic accounts of Ito’s stochastic calculus, the capital asset pricing model, the equity premium, and portfolio theory. Game-Theoretic Foundations for Probability and Finance is a book of research. It is also a teaching resource. Each chapter is supplemented with carefully designed exercises and notes relating the new theory to its historical context. Praise from early readers “Ever since Kolmogorov's Grundbegriffe, the standard mathematical treatment of probability theory has been measure-theoretic. In this ground-breaking work, Shafer and Vovk give a game-theoretic foundation instead. While being just as rigorous, the game-theoretic approach allows for vast and useful generalizations of classical measure-theoretic results, while also giving rise to new, radical ideas for prediction, statistics and mathematical finance without stochastic assumptions. The authors set out their theory in great detail, resulting in what is definitely one of the most important books on the foundations of probability to have appeared in the last few decades.” – Peter Grünwald, CWI and University of Leiden. TABLE OF CONTENTS Preface xi Acknowledgments xv Part I Examples in Discrete Time 1 1 Borel’s Law of Large Numbers 5 2 Bernoulli’s and De Moivre’s Theorems 31 3 Some Basic Supermartingales 55 4 Kolmogorov’s Law of Large Numbers 69 5 The Law of the Iterated Logarithm 93 Part II Abstract Theory in Discrete Time 109 6 Betting on a Single Outcome 111 7 Abstract Testing Protocols 135 8 Zero-One Laws 157 9 Relation to Measure-Theoretic Probability 175 Part III Applications in Discrete Time 195 10 Using Testing Protocols in Science and Technology 197 11 Calibrating Lookbacks and p-Values 229 12 Defensive Forecasting 253 Part IV Game-Theoretic Finance 305 13 Emergence of Randomness in Idealized Financial Markets 309 14 A Game-Theoretic Itô Calculus 339 15 Numeraires in Market Spaces 371 16 Equity Premium and CAPM 385 17 Game-Theoretic Portfolio Theory 403 Terminology and Notation 419 List of Symbols 425 References 429 Index 455
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Table of Contents: 1. Basic Logic 2. Methods of Proof 3. Set Theory 4. Relations and Functions 5. Number Systems 6. More on the Real Number System 7. Elementary Number Theory 8. Zero-Knowledge Proofs 9. Examples of an Axiomatic Theories Appendix: Axiomatics
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“5 Star Review in Doodys!”A quick-reference, highly visual guide to diagnosing and treating wounds What is the wound etiology? What factors are impeding wound healing? What interventions will facilitate optimal healing? Those are three questions every clinician must answer when caring for a patient with a wound.Essential Elements of Wound Diagnosisprovides the facts needed to quickly and accurately diagnose wounds and plan both medical and wound management. The information is presented in a highly visual way: each diagnosis features close-up wound images and a succinct discussion of the pathophysiology, clinical presentation, medical management, and wound management. This unique guide serves as a self-assessment tool to help practicing clinicians learn, perfect, and assess clinical diagnostic skills. Perfect for studying for exams/boards or treating patients in any clinical setting,Essential Elements of Wound Diagnosisprovides key information in concise, bulleted text, so answers to clinical problems can be located quickly and easily. Features essential information on the evaluation and treatment of: Ischemic wounds Venous wounds Pressure injuries/ulcers Diabetic foot ulcers Burns Immune-mediated tissue injuries Infected wounds Malignant wounds Miscellaneous wounds An appendix lists wounds most commonly encountered based on anatomical location to further assist in making a timely diagnosis.
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書名:Elements of Chemical Reaction Engineering 6/E 作者:FOGLER 出版社:Pearson 出版日期:2022/00/00 ISBN:9781292416663 內容簡介 Table of contents Introduction xix About the Author xxxiii Chapter 1: Mole Balances 1 1.1 The Rate of Reaction, -r_A 4 1.2 The General Mole Balance Equation (GMBE) 8 1.3 Batch Reactors (BRs) 10 1.4 Continuous-Flow Reactors 12 1.5 Industrial Reactors 24 1.6 And Now . . . A Word from Our Sponsor -- Safety 1 (AWFOS - S1 Safety) 25 Chapter 2: Conversion and Reactor Sizing 35 2.1 Definition of Conversion 36 2.2 Batch Reactor Design Equations 36 2.3 Design Equations for Flow Reactors 39 2.4 Sizing Continuous-Flow Reactors 42 2.5 Reactors in Series 51 2.6 Some Further Definitions 62 2.7 And Now . . . A Word from Our Sponsor -- Safety 2 (AWFOS - S2 The NFPA Diamond) 66 Chapter 3: Rate Laws 75 3.1 Basic Definitions 76 3.2 The Rate Law 78 3.3 The Reaction-Rate Constant 89 3.4 Molecular Simulations 100 3.5 Present Status of Our Approach to Reactor Sizing and Design 103 3.6 And Now . . . A Word from Our Sponsor -- Safety 3 (AWFOS - S3 The GHS Diamond) 104 Chapter 4: Stoichiometry 117 4.1 Batch Reactors (BRs) 119 4.2 Flow Systems 125 4.3 Reversible Reactions and Equilibrium Conversion 138 4.4 And Now . . . A Word from Our Sponsor -- Safety 4 (AWFOS - S4 The Swiss Cheese Model) 143 Chapter 5: Isothermal Reactor Design: Conversion 155 5.1 Design Structure for Isothermal Reactors 156 5.2 Batch Reactors (BRs) 160 5.3 Continuous-Stirred Tank Reactors (CSTRs) 168 5.4 Tubular Reactors 178 5.5 Pressure Drop in Reactors 185 5.6 Synthesizing the Design of a Chemical Plant 208 5.7 And Now . . . A Word from Our Sponsor -- Safety 5 (AWFOS - S5 A Safety Analysis of the Incident Algorithm) 210 Chapter 6: Isothermal Reactor Design: Moles and Molar Flow Rates 229 6.1 The Moles and Molar Flow Rate Balance Algorithms 230 6.2 Mole Balances on CSTRs, PFRs, PBRs, and Batch Reactors 230 6.3 Application of the PFR Molar Flow Rate Algorithm to a Microreactor 234 6.4 Membrane Reactors 239 6.5 Unsteady-State Operation of Stirred Reactors 248 6.6 Semibatch Reactors 249 6.7 And Now . . . A Word from Our Sponsor -- Safety 6 (AWFOS - S6 The BowTie Diagram) 256 Chapter 7: Collection and Analysis of Rate Data 269 7.1 The Algorithm for Data Analysis 270 7.2 Determining the Reaction Order for Each of Two Reactants Using the Method of Excess 272 7.3 Integral Method 273 7.4 Differential Method of Analysis 277 7.5 Non Regression 284 7.6 Reaction-Rate Data from Differential Reactors 290 7.7 Experimental Planning 297 7.8 And Now . . . A Word from Our Sponsor -- Safety 7 (AWFOS - S7 Laboratory Safety) 297 Chapter 8: Multiple Reactions 309 8.1 Definitions 310 8.2 Algorithm for Multiple Reactions 313 8.3 Parallel Reactions 316 8.4 Reactions in Series 325 8.5 Complex Reactions 335 8.6 Membrane Reactors to Improve Selectivity in Multiple Reactions 343 8.7 Sorting It All Out 348 8.8 The Fun Part 348 ...