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Equations of the Mixed Type

Equations of the Mixed Type PDF Author: A. V. Bitsadze
Publisher: Elsevier
ISBN: 1483164861
Category : Mathematics
Languages : en
Pages : 177

Book Description
Equations of the Mixed Type compiles a series of lectures on certain fundamental questions in the theory of equations of mixed type. This book investigates the series of problems concerning linear partial differential equations of the second order in two variables, and possessing the property that the type of the equation changes either on the boundary of or inside the considered domain. Topics covered include general remarks on linear partial differential equations of mixed type; study of the solutions of second order hyperbolic equations with initial conditions given along the lines of parabolicity; and study of the solutions of second order elliptic equations for a domain, the boundary of which includes a segment of the curve of parabolic degeneracy. The problem of Tricomi and other mixed problems are also deliberated in this text. This publication is a good reference for students and researchers conducting work on the theory of equations of mixed type.

Equations of the Mixed Type

Equations of the Mixed Type PDF Author: A. V. Bitsadze
Publisher: Elsevier
ISBN: 1483164861
Category : Mathematics
Languages : en
Pages : 177

Book Description
Equations of the Mixed Type compiles a series of lectures on certain fundamental questions in the theory of equations of mixed type. This book investigates the series of problems concerning linear partial differential equations of the second order in two variables, and possessing the property that the type of the equation changes either on the boundary of or inside the considered domain. Topics covered include general remarks on linear partial differential equations of mixed type; study of the solutions of second order hyperbolic equations with initial conditions given along the lines of parabolicity; and study of the solutions of second order elliptic equations for a domain, the boundary of which includes a segment of the curve of parabolic degeneracy. The problem of Tricomi and other mixed problems are also deliberated in this text. This publication is a good reference for students and researchers conducting work on the theory of equations of mixed type.

Multiplying Fractions

Multiplying Fractions PDF Author: Remedia Publications
Publisher: Remedia Publications
ISBN: 9781596396999
Category : Education
Languages : en
Pages : 32

Book Description
Grade Level: 3-6 CCSS Level: 4-6 Making fractions make sense! This 23-lesson learning unit is packed with hundreds of sequential fraction activities featuring both computation and word problems. As the third book in a series – following Adding Fractions and Subtracting Fractions – these exercises are designed to build upon what students have already learned. From “writing reciprocals of fractions, whole numbers, and mixed numbers,” to “multiplying a proper fraction by a proper fraction,” and on to “using a banana bread recipe to multiply fractions,” the activities in this book progress from learning basic concepts to mastering an understanding of how to multiply fractions. A Post Test and Answer Key are included.

Practicing Literary Theory in the Middle Ages

Practicing Literary Theory in the Middle Ages PDF Author: Eleanor Johnson
Publisher: University of Chicago Press
ISBN: 022601584X
Category : Literary Criticism
Languages : en
Pages : 265

Book Description
Literary scholars often avoid the category of the aesthetic in discussions of ethics, believing that purely aesthetic judgments can vitiate analyses of a literary work’s sociopolitical heft and meaning. In Practicing Literary Theory in the Middle Ages, Eleanor Johnson reveals that aesthetics—the formal aspects of literary language that make it sense-perceptible—are indeed inextricable from ethics in the writing of medieval literature. Johnson brings a keen formalist eye to bear on the prosimetric form: the mixing of prose with lyrical poetry. This form descends from the writings of the sixth-century Christian philosopher Boethius—specifically his famous prison text, Consolation of Philosophy—to the late medieval English tradition. Johnson argues that Boethius’s text had a broad influence not simply on the thematic and philosophical content of subsequent literary writing, but also on the specific aesthetic construction of several vernacular traditions. She demonstrates the underlying prosimetric structures in a variety of Middle English texts—including Chaucer’s Troilus and Criseyde and portions of the Canterbury Tales, Thomas Usk’s Testament of Love, John Gower’s Confessio amantis, and Thomas Hoccleve’s autobiographical poetry—and asks how particular formal choices work, how they resonate with medieval literary-theoretical ideas, and how particular poems and prose works mediate the tricky business of modeling ethical transformation for a readership.

Discrete Choice Methods with Simulation

Discrete Choice Methods with Simulation PDF Author: Kenneth Train
Publisher: Cambridge University Press
ISBN: 0521766559
Category : Business & Economics
Languages : en
Pages : 399

Book Description
This book describes the new generation of discrete choice methods, focusing on the many advances that are made possible by simulation. Researchers use these statistical methods to examine the choices that consumers, households, firms, and other agents make. Each of the major models is covered: logit, generalized extreme value, or GEV (including nested and cross-nested logits), probit, and mixed logit, plus a variety of specifications that build on these basics. Simulation-assisted estimation procedures are investigated and compared, including maximum stimulated likelihood, method of simulated moments, and method of simulated scores. Procedures for drawing from densities are described, including variance reduction techniques such as anithetics and Halton draws. Recent advances in Bayesian procedures are explored, including the use of the Metropolis-Hastings algorithm and its variant Gibbs sampling. The second edition adds chapters on endogeneity and expectation-maximization (EM) algorithms. No other book incorporates all these fields, which have arisen in the past 25 years. The procedures are applicable in many fields, including energy, transportation, environmental studies, health, labor, and marketing.

SAS for Mixed Models

SAS for Mixed Models PDF Author: Walter W. Stroup
Publisher: SAS Institute
ISBN: 163526152X
Category : Computers
Languages : en
Pages : 608

Book Description
Discover the power of mixed models with SAS. Mixed models—now the mainstream vehicle for analyzing most research data—are part of the core curriculum in most master’s degree programs in statistics and data science. In a single volume, this book updates both SAS® for Linear Models, Fourth Edition, and SAS® for Mixed Models, Second Edition, covering the latest capabilities for a variety of applications featuring the SAS GLIMMIX and MIXED procedures. Written for instructors of statistics, graduate students, scientists, statisticians in business or government, and other decision makers, SAS® for Mixed Models is the perfect entry for those with a background in two-way analysis of variance, regression, and intermediate-level use of SAS. This book expands coverage of mixed models for non-normal data and mixed-model-based precision and power analysis, including the following topics: Random-effect-only and random-coefficients models Multilevel, split-plot, multilocation, and repeated measures models Hierarchical models with nested random effects Analysis of covariance models Generalized linear mixed models This book is part of the SAS Press program.

PHP 8 Revealed

PHP 8 Revealed PDF Author: Gunnard Engebreth
Publisher: Apress
ISBN: 9781484268179
Category : Computers
Languages : en
Pages : 134

Book Description
Discover the new and updated features of PHP 8, such as the JIT compiler, union types, and attributes, with code examples of each. For each feature, the author includes real-life cases for its use and explains its benefits. What You Will Learn Utilize the new features of PHP 8 and modern development technologies Work with the JIT compiler in PHP 8 Discover PHP 8 using real-life cases Increase your available resources to become more valuable in your development team Who This Book Is For Experienced PHP programmers new to PHP 8.

Equations of Mixed Type

Equations of Mixed Type PDF Author: Modest Mikha_lovich Smirnov
Publisher: American Mathematical Soc.
ISBN: 9780821886724
Category : Mathematics
Languages : en
Pages : 244

Book Description


The Finite Element Method for Solid and Structural Mechanics

The Finite Element Method for Solid and Structural Mechanics PDF Author: O. C. Zienkiewicz
Publisher: Elsevier
ISBN: 0080455581
Category : Technology & Engineering
Languages : en
Pages : 653

Book Description
This is the key text and reference for engineers, researchers and senior students dealing with the analysis and modelling of structures – from large civil engineering projects such as dams, to aircraft structures, through to small engineered components. Covering small and large deformation behaviour of solids and structures, it is an essential book for engineers and mathematicians. The new edition is a complete solids and structures text and reference in its own right and forms part of the world-renowned Finite Element Method series by Zienkiewicz and Taylor. New material in this edition includes separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage of plasticity (isotropic and anisotropic); node-to-surface and 'mortar' method treatments; problems involving solids and rigid and pseudo-rigid bodies; and multi-scale modelling. - Dedicated coverage of solid and structural mechanics by world-renowned authors, Zienkiewicz and Taylor - New material including separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage for small and finite deformation; elastic and inelastic material constitution; contact modelling; problems involving solids, rigid and discrete elements; and multi-scale modelling

Control Alt Achieve

Control Alt Achieve PDF Author: Eric Curts
Publisher:
ISBN: 9781951600266
Category : Education
Languages : en
Pages : 134

Book Description
Transform Your Classroom with Tech Tools You Already Know With Control Alt Achieve, educational-technology wizard Eric Curts offers you the keys to revolutionizing classroom learning with the Google tools you already use. Dazzle your students by transforming Google Docs into blackout poetry, fire up creative possibilities by using Google Slides for comic strips, and make math more accessible--and fun--by turning to Google Drawings as an unlikely ally. With Eric as your guide to the technological horizons of Google tools, the possibilities are endless. With the step-by-step and easy-to-follow directions in Control Alt Achieve, you'll learn how to use common digital tools in unexpected ways. Whether you're new to technology or have been using Google tools for years, Eric Curts will help you innovate as you educate with ready-to-use activities that will reboot--and transform--your classroom. Reading this book is like sitting in on a presentation from one of educational technology's best presenters. Eric's writing reminds me of his sessions: comfortable and accessible for new tech users, while still valuable for experienced users. Jake Miller, @JakeMillerTech, host of The Educational Duct Tape Podcast Control Alt Achieve provides both practical and pedagogical strategies that go way beyond simple technology integration. This is a great handbook for any teacher looking to go beyond the how-to and shift toward a learning transformation. Ken Shelton, kennethshelton.net In this book, Eric has created a powerful method for meaningfully integrating technology into teaching and learning. His unique way of crafting technology-rich experiences will allow anyone from a novice techie to an edtech expert the ability to control, alt, achieve! Michael Cohen, the Tech Rabbi, creativity instigator and author of Educated by Design

Lecture Notes on Mixed Type Partial Differential Equations

Lecture Notes on Mixed Type Partial Differential Equations PDF Author: John Michael Rassias
Publisher: World Scientific
ISBN: 9789810204068
Category : Mathematics
Languages : en
Pages : 160

Book Description
This book discusses various parts of the theory of mixed type partial differential equations with boundary conditions such as: Chaplygin's classical dynamical equation of mixed type, the theory of regularity of solutions in the sense of Tricomi, Tricomi's fundamental idea and one-dimensional singular integral equations on non-Carleman type, Gellerstedt's characteristic problem and Frankl's non-characteristic problem, Bitsadze and Lavrentjev's mixed type boundary value problems, quasi-regularity of solutions in the classical sense. Some of the latest results of the author are also presented in this book.