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Diagonal


Diagonal
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Matrix Diagonal Stability In Systems And Computation


Matrix Diagonal Stability In Systems And Computation
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Author : Eugenius Kaszkurewicz
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Matrix Diagonal Stability In Systems And Computation written by Eugenius Kaszkurewicz 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.


This monograph presents a collection of results, observations, and examples related to dynamical systems described by linear and nonlinear ordinary differential and difference equations. In particular, dynamical systems that are susceptible to analysis by the Liapunov approach are considered. The naive observation that certain "diagonal-type" Liapunov functions are ubiquitous in the literature attracted the attention of the authors and led to some natural questions. Why does this happen so often? What are the spe cial virtues of these functions in this context? Do they occur so frequently merely because they belong to the simplest class of Liapunov functions and are thus more convenient, or are there any more specific reasons? This monograph constitutes the authors' synthesis of the work on this subject that has been jointly developed by them, among others, producing and compiling results, properties, and examples for many years, aiming to answer these questions and also to formalize some of the folklore or "cul ture" that has grown around diagonal stability and diagonal-type Liapunov functions. A natural answer to these questions would be that the use of diagonal type Liapunov functions is frequent because of their simplicity within the class of all possible Liapunov functions. This monograph shows that, although this obvious interpretation is often adequate, there are many in stances in which the Liapunov approach is best taken advantage of using diagonal-type Liapunov functions. In fact, they yield necessary and suffi cient stability conditions for some classes of nonlinear dynamical systems.



The Diagonal


The Diagonal
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Author :
language : en
Publisher:
Release Date : 1932

The Diagonal written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1932 with Art categories.




Chow Rings Decomposition Of The Diagonal And The Topology Of Families Am 187


Chow Rings Decomposition Of The Diagonal And The Topology Of Families Am 187
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Author : Claire Voisin
language : en
Publisher: Princeton University Press
Release Date : 2014-02-23

Chow Rings Decomposition Of The Diagonal And The Topology Of Families Am 187 written by Claire Voisin and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-23 with Mathematics categories.


In this book, Claire Voisin provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology. The volume is intended for both students and researchers, and not only presents a survey of the geometric methods developed in the last thirty years to understand the famous Bloch-Beilinson conjectures, but also examines recent work by Voisin. The book focuses on two central objects: the diagonal of a variety—and the partial Bloch-Srinivas type decompositions it may have depending on the size of Chow groups—as well as its small diagonal, which is the right object to consider in order to understand the ring structure on Chow groups and cohomology. An exploration of a sampling of recent works by Voisin looks at the relation, conjectured in general by Bloch and Beilinson, between the coniveau of general complete intersections and their Chow groups and a very particular property satisfied by the Chow ring of K3 surfaces and conjecturally by hyper-Kähler manifolds. In particular, the book delves into arguments originating in Nori's work that have been further developed by others.



High Dimensional Covariance Matrix Estimation Shrinkage Toward A Diagonal Target


High Dimensional Covariance Matrix Estimation Shrinkage Toward A Diagonal Target
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Author : Mr. Sakai Ando
language : en
Publisher: International Monetary Fund
Release Date : 2023-12-08

High Dimensional Covariance Matrix Estimation Shrinkage Toward A Diagonal Target written by Mr. Sakai Ando and has been published by International Monetary Fund this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-08 with Business & Economics categories.


This paper proposes a novel shrinkage estimator for high-dimensional covariance matrices by extending the Oracle Approximating Shrinkage (OAS) of Chen et al. (2009) to target the diagonal elements of the sample covariance matrix. We derive the closed-form solution of the shrinkage parameter and show by simulation that, when the diagonal elements of the true covariance matrix exhibit substantial variation, our method reduces the Mean Squared Error, compared with the OAS that targets an average variance. The improvement is larger when the true covariance matrix is sparser. Our method also reduces the Mean Squared Error for the inverse of the covariance matrix.



Carom Billiards Cross Corner Diagonal Patterns


Carom Billiards Cross Corner Diagonal Patterns
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Author : Allan P. Sand
language : en
Publisher: Allan P. Sand
Release Date : 2019-10-01

Carom Billiards Cross Corner Diagonal Patterns written by Allan P. Sand and has been published by Allan P. Sand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-01 with Sports & Recreation categories.


One of the interesting cue ball patterns in 3-cushion billiards is the diagonal cross-corner shot. The cue ball comes out of one corner of the table and then goes diagonally across the table into the other corner. The cue ball can follow a simple diagonal, a parallel diagonal, and even triple diagonals. This is an extensive assortment of cross-corner shots, each showing an successful scoring attempt. For each shot, there are two table layouts. The first is the ball positions on the table. The second is how the pro player made the point. There are two ways you can use these examples. First - as a mental exercise. Study the ball layout and the ball paths to determine how the shot was played. Second - as a table exercise. Set the balls up in the positions. Try to duplicate the shot. It may take only a few attempts, or a lot before you learn how to consistently score the point. You will do a lot of experimentation with different speeds and spins. The result will be a better understanding on how to play similar shots during your competitions. Enjoy the learning process and good luck!!



Matrix Diagonal Stability In Systems And Computation


Matrix Diagonal Stability In Systems And Computation
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Author : Eugenius Kaszkurewicz
language : en
Publisher: Springer Science & Business Media
Release Date : 2000

Matrix Diagonal Stability In Systems And Computation written by Eugenius Kaszkurewicz 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 with Mathematics categories.


"The book provides an essential reference for new methods and analysis related to dynamical systems described by linear and nonlinear ordinary differential equations and difference equations. Researchers, professionals, and graduates in applied mathematics, control engineering, stability of dynamical systems, and scientific computation will find the book a useful guide to current results and developments."--BOOK JACKET.



Mobile Cloud Visual Media Computing


Mobile Cloud Visual Media Computing
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Author : Gang Hua
language : en
Publisher: Springer
Release Date : 2015-11-23

Mobile Cloud Visual Media Computing written by Gang Hua and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-23 with Computers categories.


This book explores the internet and mobile ecosystems which are powered by cloud computing – an essential, if not indispensable, part of our everyday lives. Billions of users world-wide use this technology for information sharing, communication and social networking and a high proportion of activity is driven by massive media content such as images, videos and other emerging 3D visual media. However, managing, searching and visualizing this gigantic amount of data to facilitate communication is difficult which has led to an influx of innovation and research in these areas. The research is from academics from all around the world, focusing on the intersection of mobile, cloud, visual and multimedia computing and is split into five clear parts. Topics covered in the book include mobile augmented reality, computational photography, mobile visual recognition and search, and human-computer interaction (HCI). The findings discussed is meant to spur on further creative development in both academia and industry within this area. Mobile Cloud Visual Media Computing would of great interest to researchers and academics wishing to see how the state-of-the-art in media computing research is applied to innovative applications, whilst engineers and software designers from industry will gain an insight into the key set of technologies which support mobile and cloud media computing.



The Diagonal


The Diagonal
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Author : Jay Hambidge
language : en
Publisher:
Release Date : 1919

The Diagonal written by Jay Hambidge and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1919 with Art categories.




The Century Dictionary And Cyclopedia Dictionary


The Century Dictionary And Cyclopedia Dictionary
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Author :
language : en
Publisher:
Release Date : 1897

The Century Dictionary And Cyclopedia Dictionary written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1897 with Atlases categories.




Perspectives Of Complex Analysis Differential Geometry And Mathematical Physics Proceedings Of The 5th International Workshop On Complex Structures And Vector Fields


Perspectives Of Complex Analysis Differential Geometry And Mathematical Physics Proceedings Of The 5th International Workshop On Complex Structures And Vector Fields
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Author : Stancho Dimiev
language : en
Publisher: World Scientific
Release Date : 2001-08-02

Perspectives Of Complex Analysis Differential Geometry And Mathematical Physics Proceedings Of The 5th International Workshop On Complex Structures And Vector Fields written by Stancho Dimiev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-08-02 with Mathematics categories.


This workshop brought together specialists in complex analysis, differential geometry, mathematical physics and applications for stimulating cross-disciplinary discussions. The lectures presented ranged over various current topics in those fields. The proceedings will be of value to graduate students and researchers in complex analysis, differential geometry and theoretical physics, and also related fields.