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Pragmatics of Uncertainty (Chapman & Hall/CRC Texts in Statistical Science)
by Joseph B. KadaneA fair question to ask of an advocate of subjective Bayesianism (which the author is) is "how would you model uncertainty?" In this book, the author writes about how he has done it using real problems from the past, and offers additional comments about the context in which he was working.
Prandtl Equations and Related Boundary Layer Equations
by Yuming Qin Xiaolei Dong Xiuqing WangThis book aims to present some recent results on Prandtl equations and MHD boundary layer equations. This book is essentially divided into two parts. Chapter 1 as the first part systematically surveys the results till 2020 on Prandtl equations and MHD boundary layer equations. Chapter 2 to 6 are the main part of the book, which presents the local and the global well-posedness of solutions to the Prandtl equations and MHD boundary layer equations. In detail, Chapter 2 is concerned with global well-posedness of solutions to the 2D Prandtl-Hartmann equations in an analytic framework. Chapter 3 investigates the local existence of solutions to the 2D Prandtl equations in a weighted Sobolev space. Chapter 4 studies the local well-posedness of solutions to the 2D mixed Prandtl equations in a Sobolev space without monotonicity and lower bound. Chapter 5 is concerned with global existence of solutions to the 2D magnetic Prandtl equations in the Prandtl-Hartmann regime. Chapter 6 proves the local existence of solutions to the 3D Prandtl equations with a special structure. Mathematicians and physicists who are interested in fluid dynamics will find this book helpful.
Prawitz's Epistemic Grounding: An Investigation into the Power of Deduction (Synthese Library #469)
by Antonio Piccolomini d’AragonaThis book presents an in-depth and critical reconstruction of Prawitz’s epistemic grounding, and discusses it within the broader field of proof-theoretic semantics. The theory of grounds is also provided with a formal framework, through which several relevant results are proved. Investigating Prawitz’s theory of grounds, this work answers one of the most fundamental questions in logic: why and how do some inferences have the epistemic power to compel us to accept their conclusion, if we have accepted their premises? Prawitz proposes an innovative description of inferential acts, as applications of constructive operations on grounds for the premises, yielding a ground for the conclusion.The book is divided into three parts. In the first, the author discusses the reasons that have led Prawitz to abandon his previous semantics of valid arguments and proofs. The second part presents Prawitz’s grounding as found in his ground-theoretic papers. Finally, in the third part, a formal apparatus is developed, consisting of a class of languages whose terms are equipped with denotation functions associating them to operations and grounds, as well as of a class of systems where important properties of the terms can be proved.
PRAXIS Core Test Prep Flash Cards: Algebra (Exambusters PRAXIS Core Workbook #7 of 8)
by Ace Inc.<P><P><i>Advisory: Bookshare has learned that this book offers only partial accessibility. We have kept it in the collection because it is useful for some of our members. Benetech is actively working on projects to improve accessibility issues such as these.</i><P><P> 450 questions and answers that highlight introductory algebra definitions, problems, and concepts. <P><P>Topics: Algebraic Concepts, Sets, Variables, Exponents, Properties of Numbers, Simple Equations, Signed Numbers, Monomials, Polynomials, Additive and Multiplicative Inverse, Word Problems, Prime Numbers, Factoring, Algebraic Fractions, Ratio and Proportion, Variation, Radicals, Quadratic Equations <P>EXAMBUSTERS PRAXIS Prep Workbooks provide comprehensive, fundamental PRAXIS review--one fact at a time--to prepare students to take practice PRAXIS tests. Each PRAXIS study guide focuses on one specific subject area covered on the PRAXIS exam. From 300 to 600 questions and answers, each volume in the PRAXIS series is a quick and easy, focused read. Reviewing PRAXIS flash cards is the first step toward more confident PRAXIS preparation and ultimately, higher PRAXIS exam scores!
PRAXIS Core Test Prep Flash Cards: Geometry (Exambusters PRAXIS Core Workbook #8 of 8)
by Ace Inc.<P><P><i>Advisory: Bookshare has learned that this book offers only partial accessibility. We have kept it in the collection because it is useful for some of our members. Benetech is actively working on projects to improve accessibility issues such as these.</i><P><P> 450 questions and answers that focus on essential geometry theorems, postulates, concepts, and definitions. Includes complementary diagrams.<P><P> Topics: Lines and Angles, Triangles, Proofs, Perpendicular Lines, Parallel Lines, Angle Sums, Quadrilaterals, Medians, Altitudes and Bisectors, Circles, Ratio and Proportion, Similar Polygons, Circles and Regular Polygons, Coordinate Geometry <P>EXAMBUSTERS PRAXIS Prep Workbooks provide comprehensive, fundamental PRAXIS review--one fact at a time--to prepare students to take practice PRAXIS tests. Each PRAXIS study guide focuses on one specific subject area covered on the PRAXIS exam. From 300 to 600 questions and answers, each volume in the PRAXIS series is a quick and easy, focused read. Reviewing PRAXIS flash cards is the first step toward more confident PRAXIS preparation and ultimately, higher PRAXIS exam scores!
PRAXIS Core Test Prep Flash Cards: Arithmetic (Exambusters PRAXIS Core Workbook #6 of 8)
by Ace Inc.<P><P><i>Advisory: Bookshare has learned that this book offers only partial accessibility. We have kept it in the collection because it is useful for some of our members. Benetech is actively working on projects to improve accessibility issues such as these.</i><P><P> 600 questions and answers highlight essential arithmetic definitions, problems, and concepts. <P><P>Topics: Addition, Subtraction, Multiplication, and Division of Whole Numbers; Fractions and Decimals, Multiplication Tables, Word Problems, Percents, Measurement, Metric System, Square Roots and Powers, Real Numbers, Properties of Numbers <P>EXAMBUSTERS PRAXIS Prep Workbooks provide comprehensive, fundamental PRAXIS review--one fact at a time--to prepare students to take practice PRAXIS tests. Each PRAXIS study guide focuses on one specific subject area covered on the PRAXIS exam. From 300 to 600 questions and answers, each volume in the PRAXIS series is a quick and easy, focused read. Reviewing PRAXIS flash cards is the first step toward more confident PRAXIS preparation and ultimately, higher PRAXIS exam scores!
Präzises Denken für Informatiker
by Karsten WolfDas Lehrbuch befasst sich mit dem präzisen Denken, einer Schlüsselkompetenz im Studium der Informatik. Es bildet die Vorstufe für das Verständnis der logischen Grundfunktionen der Informatik. Das Erlernen der mathematischen Logik ist ein wesentlicher Bestandteil des Grundstudiums, da das logische Denken in der Informatik auf den gleichen Regeln und Techniken basiert wie in der Mathematik. Der Autor führt umfassend in die Aussagenlogik ein und erklärt unter anderem die Bedeutungen von logischer Äquivalenz, Implikation und Induktion für diesen Fachbereich. Darüber hinaus definiert er den Beweis aus Sicht der Mathematik und stellt grundlegende Beweisstrategien vor, die im Studium benötigt werden. Mit den in diesem Lehrbuch vorgestellten Techniken des präzisen Denkens erwerben die Studenten die Fähigkeit, Begriffe punktgenau zu definieren, Aussagen trennscharf zu formulieren und ihre Richtigkeit angemessen zu begründen. Viele praxisnahe Aufgaben und Lösungshinweise innerhalb der Kapitel erleichtern die Überprüfung und Vertiefung des Lernstoffs. Der Autor richtet sich vornehmlich an Bachelorstudenten der ersten Semester. Sie finden in diesem Werk eine optimale Vorbereitung auf die Logik-Seminare ihres Informatikstudiums. Die vermittelten Kompetenzen verbessern dabei nicht nur das Verständnis im Informatik-Studium, sondern sind ebenso für das spätere Berufsleben von großer Bedeutung. Darüber hinaus erhalten auch interessierte Laien mit diesem Buch einen interessanten Einblick in die Welt der Informatik und Mathematik und lernen, dass die Fähigkeit zu präzisem Denken auch jenseits dieser Fachbereiche hilfreich sein kann.
Pre-algebra
by Jennie M. Bennett David J. Chard Audrey Jackson Jim Milgram Janet K. Scheer Bert K. WaitsIn order to be a good problem solver, you need to use a good problem-solving plan. The plane used in this book is detailed below. If you have another plant that you like to use, you can use it as well.
Pre-Algebra
by Carter Cuevas Day Malloy Molix-Bailey Price WillardA new way of thinking about Algebra readiness! Focused, organized, and easy to follow, Glencoe Pre-Algebra shows your students how to read, write, and understand the unique language of mathematics, so they'll be prepared for every type of problem-solving and assessment situation.
Pre Algebra: A Student Workbook For Beginning Algebra
by Magic ClassroomThis workbook provides a complete review of Pre Algebra and Beginning Algebra.
Pre-Algebra
by Ron Larson Laurie Boswell Timothy Kanold Lee StiffMcDougal Littell Pre-Algebra will give you a strong foundation in algebra while also preparing you for future study of geometry, probability, and data analysis. The clearly written lessons make even difficult math concepts and methods understandable by providing numerous stepped-out examples. Each lesson's exercise set includes a wide variety of exercises, ranging from basic exercises that help you develop and practice skills to challenging exercises that involve logical reasoning and problem solving. This book will also help you become better at taking notes and taking tests. Look for a notetaking strategy at the beginning of each chapter as well as helpful marginal notes throughout each chapter. The marginal notes give you support in keeping a notebook, studying math, reading algebra and geometry, doing homework, using technology, and reviewing for tests. Also look for instruction and practice that prepare you for taking standardized tests with questions in multiple choice, short response, and extended response formats. In all these ways--and many more--McDougal Littell Pre-Algebra puts you on the road to success in mathematics.
Pre-Algebra
by Malloy Molix-Bailey Price WillardTHE PROGRAM STUDENTS NEED; THE FOCUS TEACHERS WANT! "Glencoe Pre-Algebra" is a key program in our vertically aligned high school mathematics series developed to help all students achieve a better understanding of mathematics and improve their mathematics scores on today's high-stakes assessments.
Pre-Algebra
by Marilyn OcchiogrossoThis textbook for Pre-Algebra conforms to common core state standards.
Pre-Algebra: Study Guide and Intervention Workbook
by Mcgraw-Hill StaffStudy Guide and Intervention/Practice Workbook provides vocabulary, key concepts, additional worked out examples and exercises to help students who need additional instruction or who have been absent.
Pre-Algebra Essentials For Dummies
by Mark ZegarelliPre-Algebra Essentials For Dummies (9781119590866) was previously published as Pre-Algebra Essentials For Dummies (9780470618387). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product. Many students worry about starting algebra. Pre-Algebra Essentials For Dummies provides an overview of critical pre-algebra concepts to help new algebra students (and their parents) take the next step without fear. Free of ramp-up material, Pre-Algebra Essentials For Dummies contains content focused on key topics only. It provides discrete explanations of critical concepts taught in a typical pre-algebra course, from fractions, decimals, and percents to scientific notation and simple variable equations. This guide is also a perfect reference for parents who need to review critical pre-algebra concepts as they help students with homework assignments, as well as for adult learners headed back into the classroom who just need to a refresher of the core concepts. The Essentials For Dummies SeriesDummies is proud to present our new series, The Essentials For Dummies. Now students who are prepping for exams, preparing to study new material, or who just need a refresher can have a concise, easy-to-understand review guide that covers an entire course by concentrating solely on the most important concepts. From algebra and chemistry to grammar and Spanish, our expert authors focus on the skills students most need to succeed in a subject.
Pre-Algebra Essentials For Dummies
by Mark ZegarelliMany students worry about starting algebra. Pre-Algebra Essentials For Dummies provides an overview of critical pre-algebra concepts to help new algebra students (and their parents) take the next step without fear. Free of ramp-up material, Pre-Algebra Essentials For Dummies contains content focused on key topics only. It provides discrete explanations of critical concepts taught in a typical pre-algebra course, from fractions, decimals, and percents to scientific notation and simple variable equations. This guide is also a perfect reference for parents who need to review critical pre-algebra concepts as they help students with homework assignments, as well as for adult learners headed back into the classroom who just need to a refresher of the core concepts.The Essentials For Dummies SeriesDummies is proud to present our new series, The Essentials For Dummies. Now students who are prepping for exams, preparing to study new material, or who just need a refresher can have a concise, easy-to-understand review guide that covers an entire course by concentrating solely on the most important concepts. From algebra and chemistry to grammar and Spanish, our expert authors focus on the skills students most need to succeed in a subject.
Pre-Algebra Out Loud
by Pat MowerAn essential guide for teaching students in grades 5-9 how to write about math Learning to read and write efficiently regarding mathematics helps students to understand content at a deeper level. In this third book in the popular math ′Out Loud′ series, Mower provides a variety of reading and writing strategies and activities suitable for elementary and middle school pre-algebra courses, covering such key skills as integers and exponents, fractions, decimals and percents, graphing, statistics, factoring, evaluating expressions, geometry and the basics of equations. Includes dozens of classroom tested strategies and techniques Shows how reading and writing can be incorporated in any math class to improve math skills Provides unique, fun activities that will keep students interested and make learning stick This important guide offers teachers easy-to-apply lessons that will help students develop a deeper understanding of mathematics.
Pre-Algebra Word Problems Practice Workbook
by McGraw-HillThis unique text provides students with a basic course in both calculus and analytic geometry. It promotes an intuitive approach to calculus and emphasizes algebraic concepts.
Pre-AP® Algebra 1 Student Resources Unit 1: Linear Functions and Linear Equations
by College BoardThe Pre-AP Algebra 1 course is designed to deepen students’ understanding of linear relationships by emphasizing patterns of change, multiple representations of functions and equations, modeling real world scenarios with functions, and methods for finding and representing solutions of equations and inequalities. Taken together, these ideas provide a powerful set of conceptual tools that students can use to make sense of their world through mathematics. The Key concepts of Unit 1 are: Constant rate of change and slope, Linear functions, Linear equations, Linear models of nonlinear scenarios, Two-variable linear inequalities.
Pre-AP® Algebra 1 Student Resources Unit 2: Systems of Linear Equations and Inequalities
by College BoardThe Pre-AP Algebra 1 course is designed to deepen students’ understanding of linear relationships by emphasizing patterns of change, multiple representations of functions and equations, modeling real world scenarios with functions, and methods for finding and representing solutions of equations and inequalities. Taken together, these ideas provide a powerful set of conceptual tools that students can use to make sense of their world through mathematics. The Key concepts of Unit 2 are: The solution to a system of equations, Solving a system of linear equations algebraically, Modeling with systems of linear equations, Systems of linear inequalities.