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A totally original and absorbing way of looking at who we are and how we got that way, The Decade Matrix explains our values, our choices, and our preferences, by looking at the impact of historical events on our lives. This brilliant book opens new ways of looking at ourselves and understanding what the future holds.
An engaging introduction to vectors and matrices and the algorithms that operate on them, intended for the student who knows how to program. Mathematical concepts and computational problems are motivated by applications in computer science. The reader learns by "doing," writing programs to implement the mathematical concepts and using them to carry out tasks and explore the applications. Examples include: error-correcting codes, transformations in graphics, face detection, encryption and secret-sharing, integer factoring, removing perspective from an image, PageRank (Google's ranking algorithm), and cancer detection from cell features. A companion web site, codingthematrix.com provides data and support code. Most of the assignments can be auto-graded online. Over two hundred illustrations, including a selection of relevant "xkcd" comics. Chapters: "The Function," "The Field," "The Vector," "The Vector Space," "The Matrix," "The Basis," "Dimension," "Gaussian Elimination," "The Inner Product," "Special Bases," "The Singular Value Decomposition," "The Eigenvector," "The Linear Program" A new edition of this text, incorporating corrections and an expanded index, has been issued as of September 4, 2013, and will soon be available on Amazon.
This textbook emphasizes the interplay between algebra and geometry to motivate the study of linear algebra. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. By focusing on this interface, the author offers a conceptual appreciation of the mathematics that is at the heart of further theory and applications. Those continuing to a second course in linear algebra will appreciate the companion volume Advanced Linear and Matrix Algebra. Starting with an introduction to vectors, matrices, and linear transformations, the book focuses on building a geometric intuition of what these tools represent. Linear systems offer a powerful application of the ideas seen so far, and lead onto the introduction of subspaces, linear independence, bases, and rank. Investigation then focuses on the algebraic properties of matrices that illuminate the geometry of the linear transformations that they represent. Determinants, eigenvalues, and eigenvectors all benefit from this geometric viewpoint. Throughout, “Extra Topic” sections augment the core content with a wide range of ideas and applications, from linear programming, to power iteration and linear recurrence relations. Exercises of all levels accompany each section, including many designed to be tackled using computer software. Introduction to Linear and Matrix Algebra is ideal for an introductory proof-based linear algebra course. The engaging color presentation and frequent marginal notes showcase the author’s visual approach. Students are assumed to have completed one or two university-level mathematics courses, though calculus is not an explicit requirement. Instructors will appreciate the ample opportunities to choose topics that align with the needs of each classroom, and the online homework sets that are available through WeBWorK.
Proceedings -- Computer Arithmetic, Algebra, OOP.
In recent years several new classes of matrices have been discovered and their structure exploited to design fast and accurate algorithms. In this new reference work, Raf Vandebril, Marc Van Barel, and Nicola Mastronardi present the first comprehensive overview of the mathematical and numerical properties of the family's newest member: semiseparable matrices. The text is divided into three parts. The first provides some historical background and introduces concepts and definitions concerning structured rank matrices. The second offers some traditional methods for solving systems of equations involving the basic subclasses of these matrices. The third section discusses structured rank matrices in a broader context, presents algorithms for solving higher-order structured rank matrices, and examines hybrid variants such as block quasiseparable matrices. An accessible case study clearly demonstrates the general topic of each new concept discussed. Many of the routines featured are implemented in Matlab and can be downloaded from the Web for further exploration.
Research on the nuclear matrix has grown enormously since Bereney and Coffey first reported its isolation and initial characterization in 1974. Since then, more than 1000 papers have been published on the subject by numerous workers around the world. This is the first book devoted to reviewing the major developments in this growing field. Key Features * The chapters cover a variety of topics, including: * Isolation of the nuclear matrix * Nuclear structure morphology in situ * Structural domains of the nuclear matrix and its components * Biochemistry and molecular biology of the matrix proteins and associated DNA and RNA * Functional properties associated with the nuclear matrix * DNA replication * Transcription * RNA splicing * Transcription regulation * Intranuclear and nucleocytoplasmic transport and targeting * Cell cycle regulation
The question "Where do we come from?" has fascinated philosophers, scientists, and artists for generations. This book reorients the question of the matrix as a place where everything comes from (chora, womb, incubator) by recasting it in terms of acts of "matrixial/maternal hospitality" producing space and matter of and for the other. Irina Aristarkhova theorizes such hospitality with the potential to go beyond tolerance in understanding self/other relations. Building on and critically evaluating a wide range of historical and contemporary scholarship, she applies this theoretical framework to the science, technology, and art of ectogenesis (artificial womb, neonatal incubators, and other types of generation outside of the maternal body) and proves the question "Can the machine nurse?" is critical when approaching and understanding the functional capacities and failures of incubating technologies, such as artificial placenta. Aristarkhova concludes with the science and art of male pregnancy, positioning the condition as a question of the hospitable man and newly defined fatherhood and its challenge to the conception of masculinity as unable to welcome the other.
The Aquatic Conservation Strategy (ACS) of the Northwest Forest Plan guides management of riparian and aquatic ecosystems on federal lands in western Oregon, western Washington, and northern California. We applied new scientific findings and tools to evaluate two potential options, A and B, for refining interim riparian reserves to meet ACS goals and likely challenges of climate change while supporting other management goals, including timber production. Interim riparian reserves are retained in late-successional reserves and other special land designations in the options. In lands designated as matrix, the area for aquatic conservation extends upslope one site-potential tree-height along all streams, divided into an inner zone devoted solely to achieving ACS goals and an outer zone managed to achieve ACS and other goals. Option A uses a fixed-width approach and option B a context-dependent approach, with partitioning of zones based on the ecological sensitivity of stream reaches. Based on simulations of the area of interim riparian reserves in six watersheds in western Oregon with lands managed by the Bureau of Land Management (BLM): (1) about 76 percent under option A and 72 percent under option B remain solely devoted to ACS goals; (2) 15 percent under option A and 19 percent under option B should be able to meet ACS goals and also contribute toward matrix goals such as timber production; and (3) 9 percent would be returned to matrix. A large percentage of streams with high ecological sensitivity occurred on nonfederal lands, a circumstance that merits further analysis in the context of landscape-scale considerations for biodiversity and recovery of species listed under the Endangered Species Act. Information needs remain with regard to the application and effectiveness of these options, and an adaptive management context is critical for continued improvement.
The main purpose of this monograph is to report on recent developments in the field of matrix inequalities, with emphasis on useful techniques and ingenious ideas. Among other results this book contains the affirmative solutions of eight conjectures. Many theorems unify or sharpen previous inequalities. The author's aim is to streamline the ideas in the literature. The book can be read by research workers, graduate students and advanced undergraduates.