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Singular


Singular
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Singular


Singular
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Author : Zack Hubert
language : en
Publisher: Singular Press
Release Date : 2017-03-14

Singular written by Zack Hubert and has been published by Singular Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-14 with categories.


Milo Bell is not an ordinary teenager. While the rest of the students at Bright Futures #127 spend a majority of their time in the virtual world of their SeeSees, Milo spends every waking moment with his eccentric grandfather playing with the vintage computers which fill his house. That is, every computer except for the mysterious machine with the name "LISA" scrawled on its side. An artifact from his days as an Artificial Intelligence researcher, Milo is afraid that his grandfather might be hiding something or be in some kind of trouble. Milo's worst fear is realized when his grandfather suddenly disappears and he finds the unusual computer in his own bedroom. Milo begins to learn its deadly secret when it's snatched from his hands, leading him on the most dangerous quest of his life. Peril turns to disaster as the world begins to crumble around him. With few friends and powerful enemies, can Milo unlock the secrets of the machine before time runs out?



Singular Thought And Mental Files


Singular Thought And Mental Files
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Author : Rachel Goodman
language : en
Publisher: Oxford University Press
Release Date : 2020-02-06

Singular Thought And Mental Files written by Rachel Goodman and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-06 with Philosophy categories.


The notion of singular (or de re) thought has become central in philosophy of mind and language, yet there is still little consensus concerning the best way to think about the nature of singular thought. Coinciding with recognition of the need for more clarity about the notion, there has been a surge of interest in the concept of a mental file as a way to understand what is distinctive about singular thought. What isn't always clear, however, is what mental files are meant to be, and why we should believe that thoughts that employ them are singular as opposed to descriptive. This volume brings together original chapters by leading scholars which aim to examine and evaluate the viability of the mental files framework for theorizing about singular thought. The first section of the volume addresses the central issues of the definition and nature of singular thought, as well as how it relates to the notion of a mental file. The second section addresses the legitimacy of the mental files conception of singular thought by assessing the philosophical motivations or the purported empirical support for the view, or by laying out a specific version of it. The third section helps to clarify both the notion of a mental file and the mental files conception of singular thought by focusing on their role in explaining de jure coreference in thought and language. The volume then concludes with a final section that casts doubt on the mental files conception and the legitimacy of the file-theoretic framework more generally.



A Projection Transformation Method For Nearly Singular Surface Boundary Element Integrals


A Projection Transformation Method For Nearly Singular Surface Boundary Element Integrals
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Author : Ken Hayami
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

A Projection Transformation Method For Nearly Singular Surface Boundary Element Integrals written by Ken Hayami 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.


In three dimensional boundary element analysis, computation of integrals is an important aspect since it governs the accuracy of the analysis and also because it usually takes the major part of the CPU time. The integrals which determine the influence matrices, the internal field and its gradients contain (nearly) singular kernels of order lIr a (0:= 1,2,3,4,.··) where r is the distance between the source point and the integration point on the boundary element. For planar elements, analytical integration may be possible 1,2,6. However, it is becoming increasingly important in practical boundary element codes to use curved elements, such as the isoparametric elements, to model general curved surfaces. Since analytical integration is not possible for general isoparametric curved elements, one has to rely on numerical integration. When the distance d between the source point and the element over which the integration is performed is sufficiently large compared to the element size (d> 1), the standard Gauss-Legendre quadrature formula 1,3 works efficiently. However, when the source is actually on the element (d=O), the kernel 1I~ becomes singular and the straight forward application of the Gauss-Legendre quadrature formula breaks down. These integrals will be called singular integrals. Singular integrals occur when calculating the diagonals of the influence matrices.



Singular Stochastic Differential Equations


Singular Stochastic Differential Equations
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Author : Alexander S. Cherny
language : en
Publisher: Springer
Release Date : 2004-11-15

Singular Stochastic Differential Equations written by Alexander S. Cherny and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-15 with Mathematics categories.


The authors introduce, in this research monograph on stochastic differential equations, a class of points termed isolated singular points. Stochastic differential equations possessing such points (called singular stochastic differential equations here) arise often in theory and in applications. However, known conditions for the existence and uniqueness of a solution typically fail for such equations. The book concentrates on the study of the existence, the uniqueness, and, what is most important, on the qualitative behaviour of solutions of singular stochastic differential equations. This is done by providing a qualitative classification of isolated singular points, into 48 possible types.



Wavelet Based Approximation Schemes For Singular Integral Equations


Wavelet Based Approximation Schemes For Singular Integral Equations
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Author : Madan Mohan Panja
language : en
Publisher: CRC Press
Release Date : 2020-06-07

Wavelet Based Approximation Schemes For Singular Integral Equations written by Madan Mohan Panja and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-07 with Mathematics categories.


Many mathematical problems in science and engineering are defined by ordinary or partial differential equations with appropriate initial-boundary conditions. Among the various methods, boundary integral equation method (BIEM) is probably the most effective. It’s main advantage is that it changes a problem from its formulation in terms of unbounded differential operator to one for an integral/integro-differential operator, which makes the problem tractable from the analytical or numerical point of view. Basically, the review/study of the problem is shifted to a boundary (a relatively smaller domain), where it gives rise to integral equations defined over a suitable function space. Integral equations with singular kernels areamong the most important classes in the fields of elasticity, fluid mechanics, electromagnetics and other domains in applied science and engineering. With the advancesin computer technology, numerical simulations have become important tools in science and engineering. Several methods have been developed in numerical analysis for equations in mathematical models of applied sciences. Widely used methods include: Finite Difference Method (FDM), Finite Element Method (FEM), Finite Volume Method (FVM) and Galerkin Method (GM). Unfortunately, none of these are versatile. Each has merits and limitations. For example, the widely used FDM and FEM suffers from difficulties in problem solving when rapid changes appear in singularities. Even with the modern computing machines, analysis of shock-wave or crack propagations in three dimensional solids by the existing classical numerical schemes is challenging (computational time/memory requirements). Therefore, with the availability of faster computing machines, research into the development of new efficient schemes for approximate solutions/numerical simulations is an ongoing parallel activity. Numerical methods based on wavelet basis (multiresolution analysis) may be regarded as a confluence of widely used numerical schemes based on Finite Difference Method, Finite Element Method, Galerkin Method, etc. The objective of this monograph is to deal with numerical techniques to obtain (multiscale) approximate solutions in wavelet basis of different types of integral equations with kernels involving varieties of singularities appearing in the field of elasticity, fluid mechanics, electromagnetics and many other domains in applied science and engineering.



One Dimensional Linear Singular Integral Equations


One Dimensional Linear Singular Integral Equations
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Author : I. Gohberg
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

One Dimensional Linear Singular Integral Equations written by I. Gohberg and has been published by Birkhäuser 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 is the second volume of a graduate text book on the modern theory of linear one-dimensional singular integral equations. Both volumes may be regarded as unique graduate text books. Singular integral equations attract more and more attention since this class of equations appears in numerous applications, and also because they form one of the few classes of equations which can be solved explicitly. The present book is to a great extent based upon material contained in the second part of the authors' monograph [6] which appeared in 1973 in Russian, and in 1979 in German translation. The present text includes a large number of additions and complementary material, essentially changing the character, structure and contents of the book, and making it accessible to a wider audience. Our main subject in the first volume was the case of closed curves and continuous coeffi cients. Here, in the second volume, we turn to general curves and discontinuous coefficients. We are deeply grateful to the editor Professor G. Heinig, to the translator Dr. S. Roeh, and to the typist Mr. G. Lillack, for their patient work. The authors Ramat-Aviv, Ramat-Gan, May 26, 1991 11 Introduction This book is the second volume of an introduction to the theory of linear one-dimensional singular integral operators. The main topics of both parts of the book are the invertibility and Fredholmness of these operators. Special attention is paid to inversion methods.



A Singular Introduction To Commutative Algebra


A Singular Introduction To Commutative Algebra
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Author : Gert-Martin Greuel
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-11-05

A Singular Introduction To Commutative Algebra written by Gert-Martin Greuel 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 2007-11-05 with Mathematics categories.


This substantially enlarged second edition aims to lead a further stage in the computational revolution in commutative algebra. This is the first handbook/tutorial to extensively deal with SINGULAR. Among the book’s most distinctive features is a new, completely unified treatment of the global and local theories. Another feature of the book is its breadth of coverage of theoretical topics in the portions of commutative algebra closest to algebraic geometry, with algorithmic treatments of almost every topic.



Singular Integral Equations


Singular Integral Equations
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Author : N.I. Muskhelishvili
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Singular Integral Equations written by N.I. Muskhelishvili 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.


In preparing this translation for publication certain minor modifications and additions have been introduced into the original Russian text, in order to increase its readibility and usefulness. Thus, instead of the first person, the third person has been used throughout; wherever possible footnotes have been included with the main text. The chapters and their subsections of the Russian edition have been renamed parts and chapters respectively and the last have been numbered consecutively. An authors and subject index has been added. In particular, the former has been combined with the list of references of the original text, in order to enable the reader to find quickly all information on anyone reference in which he may be especially interested. This has been considered most important with a view to the difficulties experienced outside Russia in obtaining references, published in that country. Russian names have been printed in Russian letters in the authors index, in order to overcome any possible confusion arising from transliteration.



Singular Problems In Shell Theory


Singular Problems In Shell Theory
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Author : Evariste Sanchez-Palencia
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-07

Singular Problems In Shell Theory written by Evariste Sanchez-Palencia 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 2010-09-07 with Science categories.


This book deals with various aspects in relation with thin shell theory: general geometric formalism of shell theory, analysis of singularities, numerical computing of thin shell problems, mathematical considerations on boundary values problems.



Singular Integrals And Related Topics


Singular Integrals And Related Topics
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Author : Shanzhen Lu
language : en
Publisher: World Scientific
Release Date : 2007

Singular Integrals And Related Topics written by Shanzhen Lu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.


This book introduces some important progress in the theory of Calderon-Zygmund singular integrals, oscillatory singular integrals, and Littlewood-Paley theory over the last decade. It includes some important research results by the authors and their cooperators, such as singular integrals with rough kernels on Block spaces and Hardy spaces, the criterion on boundedness of oscillatory singular integrals, and boundedness of the rough Marcinkiewicz integrals. These results have frequently been cited in many published papers.