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A Mathematical Framework for Modeling Legal Reasoning Through Conditional Logic

Introduction to Communication Disorders

Introduction to Communication Disorders: A Lifespan Perspective presents an informative overview of the fields of Speech-Language Pathology and Audiology in an interesting and highly readable manner. This text provides a solid foundation for future study by providing many viewpoints for the introductory student, offering personal stories of people with communication disorders, and examining the field from a lifespan perspective. In addition, the best models of good practice and approaches for assessment and intervention are discussed based on the authors' own clinical experience. Each chapter describes a specific disorder and related assessment and intervention methods. Each disorder is also illustrated by the personal story of an individual with that disorder. Reader interest and thought are stimulated by thought questions placed throughout each chapter and by margin notes that highlight important information. The suggested readings and Internet locations provided at the conclusion of each chapter provide additional avenues by which students can gain further knowledge. Unlike any other text currently available, Introduction to Communication Disorders features an accompanying CD-ROM a learning device and study tool which presents many of the disorders students read about in sound and video format. In addition, self-study questions follow the outline of each chapter and highlight important information.

Scientific Data Analysis

This monograph is concerned with overdetermined systems, inconsistent systems with more equations than unknowns, in scientific data reduction. It is not a text on statistics, numerical methods, or matrix cOmputations, although elements of all three, especially the latter, enter into the discussion. The reader I have in mind is a scientist or engineer who has gathered data that he or she wants to model by a mathematical system, perhaps linear, perhaps nonlinear, and solve to obtain the best estimates, in some sense of the term "best," of various parameters. Because the calculations will be performed on a digital computer, the first chapter discusses floating-point numbers and their effect on mathematical operations. The chapter ends with some methods for accurately summing floating-point numbers, an operation frequently required in numerical work and one often done by the worst possible method, recursive summation. Chapter 2 gives a brief review of linear algebra and includes vector and matrix norms and condition numbers of matrices and linear systems. ' Chapter 3 presents some ideas for manipulating sparse matrices. Frequently, time or memory can be saved by use of sparse matrix techniques. The subject is extensive and the chapter is only indicative of the many techniques available. Although Chapter 3 is somewhat extraneous to the rest of the book, Chapter 5, on linear least squares, makes use of the compressed storage mode for the symmetric matrices discussed in Chapter 3.

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