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Theory Of Linear Dependence


Theory Of Linear Dependence
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The Theory Of Linear Dependence


The Theory Of Linear Dependence
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Author : Maxime Bôcher
language : en
Publisher:
Release Date : 1901

The Theory Of Linear Dependence written by Maxime Bôcher and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1901 with Differential equations, Linear categories.




Linear Dependence


Linear Dependence
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Author : Sydney N. Afriat
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Linear Dependence written by Sydney N. Afriat and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


Deals with the most basic notion of linear algebra, to bring emphasis on approaches to the topic serving at the elementary level and more broadly. A typical feature is where computational algorithms and theoretical proofs are brought together. Another is respect for symmetry, so that when this has some part in the form of a matter it should also be reflected in the treatment. Issues relating to computational method are covered. These interests may have suggested a limited account, to be rounded-out suitably. However this limitation where basic material is separated from further reaches of the subject has an appeal of its own. To the `elementary operations' method of the textbooks for doing linear algebra, Albert Tucker added a method with his `pivot operation'. Here there is a more primitive method based on the `linear dependence table', and yet another based on `rank reduction'. The determinant is introduced in a completely unusual upside-down fashion where Cramer's rule comes first. Also dealt with is what is believed to be a completely new idea, of the `alternant', a function associated with the affine space the way the determinant is with the linear space, with n+1 vector arguments, as the determinant has n. Then for affine (or barycentric) coordinates we find a rule which is an unprecedented exact counterpart of Cramer's rule for linear coordinates, where the alternant takes on the role of the determinant. These are among the more distinct or spectacular items for possible novelty, or unfamiliarity. Others, with or without some remark, may be found scattered in different places.



Linear Dependence


Linear Dependence
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Author : S. N. Afriat
language : en
Publisher:
Release Date : 1991

Linear Dependence written by S. N. Afriat and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.




The Theory Of Linear Dependence


The Theory Of Linear Dependence
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Author : Sister Mary Vincentius Collins
language : en
Publisher:
Release Date : 1928

The Theory Of Linear Dependence written by Sister Mary Vincentius Collins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1928 with categories.




Theory Of Linear Dependence


Theory Of Linear Dependence
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Author : Meredith M. Temple
language : en
Publisher:
Release Date : 1942

Theory Of Linear Dependence written by Meredith M. Temple and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1942 with categories.




Dependence Logic


Dependence Logic
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Author : Samson Abramsky
language : en
Publisher: Birkhäuser
Release Date : 2016-06-29

Dependence Logic written by Samson Abramsky and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-29 with Mathematics categories.


In this volume, different aspects of logics for dependence and independence are discussed, including both the logical and computational aspects of dependence logic, and also applications in a number of areas, such as statistics, social choice theory, databases, and computer security. The contributing authors represent leading experts in this relatively new field, each of whom was invited to write a chapter based on talks given at seminars held at the Schloss Dagstuhl Leibniz Center for Informatics in Wadern, Germany (in February 2013 and June 2015) and an Academy Colloquium at the Royal Netherlands Academy of Arts and Sciences (March 2014). Altogether, these chapters provide the most up-to-date look at this developing and highly interdisciplinary field and will be of interest to a broad group of logicians, mathematicians, statisticians, philosophers, and scientists. Topics covered include a comprehensive survey of many propositional, modal, and first-order variants of dependence logic; new results concerning expressive power of several variants of dependence logic with different sets of logical connectives and generalized dependence atoms; connections between inclusion logic and the least-fixed point logic; an overview of dependencies in databases by addressing the relationships between implication problems for fragments of statistical conditional independencies, embedded multivalued dependencies, and propositional logic; various Markovian models used to characterize dependencies and causality among variables in multivariate systems; applications of dependence logic in social choice theory; and an introduction to the theory of secret sharing, pointing out connections to dependence and independence logic.



Theory Of Linear Dependency


Theory Of Linear Dependency
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Author : Sylvester John D'Aquilla
language : en
Publisher:
Release Date : 1960

Theory Of Linear Dependency written by Sylvester John D'Aquilla and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Algebra categories.




Linear Dependence


Linear Dependence
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Author : S. N. Afriat
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-09-30

Linear Dependence written by S. N. Afriat and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09-30 with Computers categories.


Deals with the most basic notion of linear algebra, to bring emphasis on approaches to the topic serving at the elementary level and more broadly. A typical feature is where computational algorithms and theoretical proofs are brought together. Another is respect for symmetry, so that when this has some part in the form of a matter it should also be reflected in the treatment. Issues relating to computational method are covered. These interests may have suggested a limited account, to be rounded-out suitably. However this limitation where basic material is separated from further reaches of the subject has an appeal of its own. To the `elementary operations' method of the textbooks for doing linear algebra, Albert Tucker added a method with his `pivot operation'. Here there is a more primitive method based on the `linear dependence table', and yet another based on `rank reduction'. The determinant is introduced in a completely unusual upside-down fashion where Cramer's rule comes first. Also dealt with is what is believed to be a completely new idea, of the `alternant', a function associated with the affine space the way the determinant is with the linear space, with n+1 vector arguments, as the determinant has n. Then for affine (or barycentric) coordinates we find a rule which is an unprecedented exact counterpart of Cramer's rule for linear coordinates, where the alternant takes on the role of the determinant. These are among the more distinct or spectacular items for possible novelty, or unfamiliarity. Others, with or without some remark, may be found scattered in different places.



Theory Of Linear Models


Theory Of Linear Models
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Author : Bent Jorgensen
language : en
Publisher: Routledge
Release Date : 2019-01-14

Theory Of Linear Models written by Bent Jorgensen and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-14 with Mathematics categories.


Providing a self-contained exposition of the theory of linear models, this treatise strikes a compromise between theory and practice, providing a sound theoretical basis while putting the theory to work in important cases.



Linear System Theory And Design


Linear System Theory And Design
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Author : Chi-Tsong Chen
language : en
Publisher: Oxford University Press, USA
Release Date : 1984

Linear System Theory And Design written by Chi-Tsong Chen and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Language Arts & Disciplines categories.


With the advancement of technology, engineers need the systems they design not only to work, but to be the absolute best possible given the requirements and available tools. In this environment, an understanding of a system's limitations acquires added importance. Without such knowledge, one might unknowingly attempt to design an impossible system. Thus, a thorough investigation of all of a system's properties is essential. In fact, many design procedures have evolved from such investigations. For use at the senior-graduate level in courses on linear systems and multivariable system design, this highly successful text is devoted to this study and the design procedures developed thereof. It is not a control text, per se--since it does not cover performance criteria, physical constraints, cost, optimization, and sensitivity problems. Chen develops major results and design procedures using simple and efficient methods. Thus, the presentation is not exhaustive; only those concepts which are essential in the development are introduced. Problem sets--following each chapter--help students understand and utilize the concepts and results covered.