Author: Eve Langlais
Publisher: Eve Langlais
ISBN: 1773844172
Category : Fiction
Languages : en
Pages : 189
Book Description
I found more than religion in an angel’s kiss. My studies in theology didn’t prepare me to deal with angels from outer space. They’re real. They fly. And in their elevated arrogance, they don’t think they need anyone’s help. So, imagine my surprise when the shy but hunky Zakai asks for my assistance in locating Noah’s ark. Apparently, it’s not just a religious myth. The massive ship did exist, and it looks like humanity might need it if they’re going to survive an incoming invasion. As we work to uncover the mystery, we’re stymied by opposing forces doing everything they can to stop us. I’ll admit, I never thought I’d end up fighting demons, just like I never expected to fall in love with an angel. But when given a choice, will he choose me or God? A celestial, alien romance.
Zakai
Author: Eve Langlais
Publisher: Eve Langlais
ISBN: 1773844172
Category : Fiction
Languages : en
Pages : 189
Book Description
I found more than religion in an angel’s kiss. My studies in theology didn’t prepare me to deal with angels from outer space. They’re real. They fly. And in their elevated arrogance, they don’t think they need anyone’s help. So, imagine my surprise when the shy but hunky Zakai asks for my assistance in locating Noah’s ark. Apparently, it’s not just a religious myth. The massive ship did exist, and it looks like humanity might need it if they’re going to survive an incoming invasion. As we work to uncover the mystery, we’re stymied by opposing forces doing everything they can to stop us. I’ll admit, I never thought I’d end up fighting demons, just like I never expected to fall in love with an angel. But when given a choice, will he choose me or God? A celestial, alien romance.
Publisher: Eve Langlais
ISBN: 1773844172
Category : Fiction
Languages : en
Pages : 189
Book Description
I found more than religion in an angel’s kiss. My studies in theology didn’t prepare me to deal with angels from outer space. They’re real. They fly. And in their elevated arrogance, they don’t think they need anyone’s help. So, imagine my surprise when the shy but hunky Zakai asks for my assistance in locating Noah’s ark. Apparently, it’s not just a religious myth. The massive ship did exist, and it looks like humanity might need it if they’re going to survive an incoming invasion. As we work to uncover the mystery, we’re stymied by opposing forces doing everything they can to stop us. I’ll admit, I never thought I’d end up fighting demons, just like I never expected to fall in love with an angel. But when given a choice, will he choose me or God? A celestial, alien romance.
Approximation Theorems of Wong-Zakai Type for Stochastic Differential Equations in Infinite Dimensions
Author: Krystyna Twardowska
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 64
Book Description
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 64
Book Description
Stochastic Analysis
Author: Eddy Mayer-Wolf
Publisher: Academic Press
ISBN: 1483218708
Category : Mathematics
Languages : en
Pages : 553
Book Description
Stochastic Analysis: Liber Amicorum for Moshe Zakai focuses on stochastic differential equations, nonlinear filtering, two-parameter martingales, Wiener space analysis, and related topics. The selection first ponders on conformally invariant and reflection positive random fields in two dimensions; real time architectures for the Zakai equation and applications; and quadratic approximation by linear systems controlled from partial observations. Discussions focus on predicted miss, review of basic sequential detection problems, multigrid algorithms for the Zakai equation, invariant test functions and regularity, and reflection positivity. The text then takes a look at a model of stochastic differential equation in Hubert spaces applicable to Navier Stokes equation in dimension 2; wavelets as attractors of random dynamical systems; and Markov properties for certain random fields. The publication examines the anatomy of a low-noise jump filter, nonlinear filtering with small observation noise, and closed form characteristic functions for certain random variables related to Brownian motion. Topics include derivation of characteristic functions for the examples, proof of the theorem, sequential quadratic variation test, asymptotic optimal filters, mean decision time, and asymptotic optimal filters. The selection is a valuable reference for researchers interested in stochastic analysis.
Publisher: Academic Press
ISBN: 1483218708
Category : Mathematics
Languages : en
Pages : 553
Book Description
Stochastic Analysis: Liber Amicorum for Moshe Zakai focuses on stochastic differential equations, nonlinear filtering, two-parameter martingales, Wiener space analysis, and related topics. The selection first ponders on conformally invariant and reflection positive random fields in two dimensions; real time architectures for the Zakai equation and applications; and quadratic approximation by linear systems controlled from partial observations. Discussions focus on predicted miss, review of basic sequential detection problems, multigrid algorithms for the Zakai equation, invariant test functions and regularity, and reflection positivity. The text then takes a look at a model of stochastic differential equation in Hubert spaces applicable to Navier Stokes equation in dimension 2; wavelets as attractors of random dynamical systems; and Markov properties for certain random fields. The publication examines the anatomy of a low-noise jump filter, nonlinear filtering with small observation noise, and closed form characteristic functions for certain random variables related to Brownian motion. Topics include derivation of characteristic functions for the examples, proof of the theorem, sequential quadratic variation test, asymptotic optimal filters, mean decision time, and asymptotic optimal filters. The selection is a valuable reference for researchers interested in stochastic analysis.
God is a Communicative Being
Author: William M. Schweitzer
Publisher: Bloomsbury Publishing
ISBN: 0567057550
Category : Religion
Languages : en
Pages : 209
Book Description
Over the past half century, there has been a proliferation of scholarship on the great American theologian Jonathan Edwards. However, the vast majority of this output confines itself to the details of his work. With some welcome exceptions, the forest has often been missed for the trees. In this ground breaking study William Schweitzer presents a new reading of Edwards: He starts with the question what is distinctive in Edwards' theology? The answer comes in Edwards' insight into Trinitarian life. God is eternally communicative of his knowledge, love, and joy among the Three Persons of the Trinity, and this divine communicativeness was for Edwards the explanation for why God created the universe. More specifically, however, Edwards believed that God's communication carries with it the Trinitarian hallmark of “harmony.” This hallmark is not always east to discern, even for the regenerate. Edwards' lifelong project-as demonstrated by the common purpose of all three unfinished “Great Works”-was to interpret the harmony found in and among the several media of revelation.
Publisher: Bloomsbury Publishing
ISBN: 0567057550
Category : Religion
Languages : en
Pages : 209
Book Description
Over the past half century, there has been a proliferation of scholarship on the great American theologian Jonathan Edwards. However, the vast majority of this output confines itself to the details of his work. With some welcome exceptions, the forest has often been missed for the trees. In this ground breaking study William Schweitzer presents a new reading of Edwards: He starts with the question what is distinctive in Edwards' theology? The answer comes in Edwards' insight into Trinitarian life. God is eternally communicative of his knowledge, love, and joy among the Three Persons of the Trinity, and this divine communicativeness was for Edwards the explanation for why God created the universe. More specifically, however, Edwards believed that God's communication carries with it the Trinitarian hallmark of “harmony.” This hallmark is not always east to discern, even for the regenerate. Edwards' lifelong project-as demonstrated by the common purpose of all three unfinished “Great Works”-was to interpret the harmony found in and among the several media of revelation.
Numerical Methods for Stochastic Partial Differential Equations with White Noise
Author: Zhongqiang Zhang
Publisher: Springer
ISBN: 3319575112
Category : Mathematics
Languages : en
Pages : 391
Book Description
This book covers numerical methods for stochastic partial differential equations with white noise using the framework of Wong-Zakai approximation. The book begins with some motivational and background material in the introductory chapters and is divided into three parts. Part I covers numerical stochastic ordinary differential equations. Here the authors start with numerical methods for SDEs with delay using the Wong-Zakai approximation and finite difference in time. Part II covers temporal white noise. Here the authors consider SPDEs as PDEs driven by white noise, where discretization of white noise (Brownian motion) leads to PDEs with smooth noise, which can then be treated by numerical methods for PDEs. In this part, recursive algorithms based on Wiener chaos expansion and stochastic collocation methods are presented for linear stochastic advection-diffusion-reaction equations. In addition, stochastic Euler equations are exploited as an application of stochastic collocation methods, where a numerical comparison with other integration methods in random space is made. Part III covers spatial white noise. Here the authors discuss numerical methods for nonlinear elliptic equations as well as other equations with additive noise. Numerical methods for SPDEs with multiplicative noise are also discussed using the Wiener chaos expansion method. In addition, some SPDEs driven by non-Gaussian white noise are discussed and some model reduction methods (based on Wick-Malliavin calculus) are presented for generalized polynomial chaos expansion methods. Powerful techniques are provided for solving stochastic partial differential equations. This book can be considered as self-contained. Necessary background knowledge is presented in the appendices. Basic knowledge of probability theory and stochastic calculus is presented in Appendix A. In Appendix B some semi-analytical methods for SPDEs are presented. In Appendix C an introduction to Gauss quadrature is provided. In Appendix D, all the conclusions which are needed for proofs are presented, and in Appendix E a method to compute the convergence rate empirically is included. In addition, the authors provide a thorough review of the topics, both theoretical and computational exercises in the book with practical discussion of the effectiveness of the methods. Supporting Matlab files are made available to help illustrate some of the concepts further. Bibliographic notes are included at the end of each chapter. This book serves as a reference for graduate students and researchers in the mathematical sciences who would like to understand state-of-the-art numerical methods for stochastic partial differential equations with white noise.
Publisher: Springer
ISBN: 3319575112
Category : Mathematics
Languages : en
Pages : 391
Book Description
This book covers numerical methods for stochastic partial differential equations with white noise using the framework of Wong-Zakai approximation. The book begins with some motivational and background material in the introductory chapters and is divided into three parts. Part I covers numerical stochastic ordinary differential equations. Here the authors start with numerical methods for SDEs with delay using the Wong-Zakai approximation and finite difference in time. Part II covers temporal white noise. Here the authors consider SPDEs as PDEs driven by white noise, where discretization of white noise (Brownian motion) leads to PDEs with smooth noise, which can then be treated by numerical methods for PDEs. In this part, recursive algorithms based on Wiener chaos expansion and stochastic collocation methods are presented for linear stochastic advection-diffusion-reaction equations. In addition, stochastic Euler equations are exploited as an application of stochastic collocation methods, where a numerical comparison with other integration methods in random space is made. Part III covers spatial white noise. Here the authors discuss numerical methods for nonlinear elliptic equations as well as other equations with additive noise. Numerical methods for SPDEs with multiplicative noise are also discussed using the Wiener chaos expansion method. In addition, some SPDEs driven by non-Gaussian white noise are discussed and some model reduction methods (based on Wick-Malliavin calculus) are presented for generalized polynomial chaos expansion methods. Powerful techniques are provided for solving stochastic partial differential equations. This book can be considered as self-contained. Necessary background knowledge is presented in the appendices. Basic knowledge of probability theory and stochastic calculus is presented in Appendix A. In Appendix B some semi-analytical methods for SPDEs are presented. In Appendix C an introduction to Gauss quadrature is provided. In Appendix D, all the conclusions which are needed for proofs are presented, and in Appendix E a method to compute the convergence rate empirically is included. In addition, the authors provide a thorough review of the topics, both theoretical and computational exercises in the book with practical discussion of the effectiveness of the methods. Supporting Matlab files are made available to help illustrate some of the concepts further. Bibliographic notes are included at the end of each chapter. This book serves as a reference for graduate students and researchers in the mathematical sciences who would like to understand state-of-the-art numerical methods for stochastic partial differential equations with white noise.
Erich Auerbach and the Crisis of German Philology
Author: Avihu Zakai
Publisher: Springer
ISBN: 3319409581
Category : Literary Criticism
Languages : en
Pages : 228
Book Description
This book analyzes and contextualizes Auerbach’s life and mind in the wide ideological, philological, and historical context of his time, especially the rise of Aryan philology and its eventual triumph with the Nazi Revolution or the Hitler Revolution in Germany of 1933. It deals specifically with his struggle against the premises of Aryan philology, based on völkisch mysticism and Nazi historiography, which eliminated the Old Testament from German Kultur and Volksgeist in particular, and Western culture and civilization in general. It examines in detail his apologia for, or defense and justification of, Western Judaeo-Christian humanist tradition at its gravest existential moment. It discusses Auerbach’s ultimate goal, which was to counter the overt racist tendencies and völkish ideology in Germany, or the belief in the Community of Blood and Fate of the German people, which sharply distinguished between Kultur and civilization and glorified völkisch nationalism over European civilization. The volume includes an analysis of the entire twenty chapters of Auerbach’s most celebrated book: Mimesis: The Representation of Reality in Western Literature, 1946.
Publisher: Springer
ISBN: 3319409581
Category : Literary Criticism
Languages : en
Pages : 228
Book Description
This book analyzes and contextualizes Auerbach’s life and mind in the wide ideological, philological, and historical context of his time, especially the rise of Aryan philology and its eventual triumph with the Nazi Revolution or the Hitler Revolution in Germany of 1933. It deals specifically with his struggle against the premises of Aryan philology, based on völkisch mysticism and Nazi historiography, which eliminated the Old Testament from German Kultur and Volksgeist in particular, and Western culture and civilization in general. It examines in detail his apologia for, or defense and justification of, Western Judaeo-Christian humanist tradition at its gravest existential moment. It discusses Auerbach’s ultimate goal, which was to counter the overt racist tendencies and völkish ideology in Germany, or the belief in the Community of Blood and Fate of the German people, which sharply distinguished between Kultur and civilization and glorified völkisch nationalism over European civilization. The volume includes an analysis of the entire twenty chapters of Auerbach’s most celebrated book: Mimesis: The Representation of Reality in Western Literature, 1946.
My Second-Favorite Country
Author: Sivan Zakai
Publisher: NYU Press
ISBN: 1479808989
Category : Religion
Languages : en
Pages : 264
Book Description
"Drawing on a longitudinal study of Jewish children in the United States, this book presents Jewish children's learning about Israel as a rich case for understanding how children develop ideas and beliefs about self, community, nation, and world over the course of elementary school"--
Publisher: NYU Press
ISBN: 1479808989
Category : Religion
Languages : en
Pages : 264
Book Description
"Drawing on a longitudinal study of Jewish children in the United States, this book presents Jewish children's learning about Israel as a rich case for understanding how children develop ideas and beliefs about self, community, nation, and world over the course of elementary school"--
Transformation of Measure on Wiener Space
Author: A.Süleyman Üstünel
Publisher: Springer Science & Business Media
ISBN: 3662132257
Category : Mathematics
Languages : en
Pages : 303
Book Description
This unique book on the subject addresses fundamental problems and will be the standard reference for a long time to come. The authors have different scientific origins and combine these successfully, creating a text aimed at graduate students and researchers that can be used for courses and seminars.
Publisher: Springer Science & Business Media
ISBN: 3662132257
Category : Mathematics
Languages : en
Pages : 303
Book Description
This unique book on the subject addresses fundamental problems and will be the standard reference for a long time to come. The authors have different scientific origins and combine these successfully, creating a text aimed at graduate students and researchers that can be used for courses and seminars.
European Control Conference 1991
Author:
Publisher: European Control Association
ISBN: 9782866012823
Category :
Languages : en
Pages : 644
Book Description
Proceedings of the European Control Conference 1991, July 2-5, 1991, Grenoble, France
Publisher: European Control Association
ISBN: 9782866012823
Category :
Languages : en
Pages : 644
Book Description
Proceedings of the European Control Conference 1991, July 2-5, 1991, Grenoble, France
Stochastic Control Theory
Author: Makiko Nisio
Publisher: Springer
ISBN: 4431551239
Category : Mathematics
Languages : en
Pages : 263
Book Description
This book offers a systematic introduction to the optimal stochastic control theory via the dynamic programming principle, which is a powerful tool to analyze control problems. First we consider completely observable control problems with finite horizons. Using a time discretization we construct a nonlinear semigroup related to the dynamic programming principle (DPP), whose generator provides the Hamilton–Jacobi–Bellman (HJB) equation, and we characterize the value function via the nonlinear semigroup, besides the viscosity solution theory. When we control not only the dynamics of a system but also the terminal time of its evolution, control-stopping problems arise. This problem is treated in the same frameworks, via the nonlinear semigroup. Its results are applicable to the American option price problem. Zero-sum two-player time-homogeneous stochastic differential games and viscosity solutions of the Isaacs equations arising from such games are studied via a nonlinear semigroup related to DPP (the min-max principle, to be precise). Using semi-discretization arguments, we construct the nonlinear semigroups whose generators provide lower and upper Isaacs equations. Concerning partially observable control problems, we refer to stochastic parabolic equations driven by colored Wiener noises, in particular, the Zakai equation. The existence and uniqueness of solutions and regularities as well as Itô's formula are stated. A control problem for the Zakai equations has a nonlinear semigroup whose generator provides the HJB equation on a Banach space. The value function turns out to be a unique viscosity solution for the HJB equation under mild conditions. This edition provides a more generalized treatment of the topic than does the earlier book Lectures on Stochastic Control Theory (ISI Lecture Notes 9), where time-homogeneous cases are dealt with. Here, for finite time-horizon control problems, DPP was formulated as a one-parameter nonlinear semigroup, whose generator provides the HJB equation, by using a time-discretization method. The semigroup corresponds to the value function and is characterized as the envelope of Markovian transition semigroups of responses for constant control processes. Besides finite time-horizon controls, the book discusses control-stopping problems in the same frameworks.
Publisher: Springer
ISBN: 4431551239
Category : Mathematics
Languages : en
Pages : 263
Book Description
This book offers a systematic introduction to the optimal stochastic control theory via the dynamic programming principle, which is a powerful tool to analyze control problems. First we consider completely observable control problems with finite horizons. Using a time discretization we construct a nonlinear semigroup related to the dynamic programming principle (DPP), whose generator provides the Hamilton–Jacobi–Bellman (HJB) equation, and we characterize the value function via the nonlinear semigroup, besides the viscosity solution theory. When we control not only the dynamics of a system but also the terminal time of its evolution, control-stopping problems arise. This problem is treated in the same frameworks, via the nonlinear semigroup. Its results are applicable to the American option price problem. Zero-sum two-player time-homogeneous stochastic differential games and viscosity solutions of the Isaacs equations arising from such games are studied via a nonlinear semigroup related to DPP (the min-max principle, to be precise). Using semi-discretization arguments, we construct the nonlinear semigroups whose generators provide lower and upper Isaacs equations. Concerning partially observable control problems, we refer to stochastic parabolic equations driven by colored Wiener noises, in particular, the Zakai equation. The existence and uniqueness of solutions and regularities as well as Itô's formula are stated. A control problem for the Zakai equations has a nonlinear semigroup whose generator provides the HJB equation on a Banach space. The value function turns out to be a unique viscosity solution for the HJB equation under mild conditions. This edition provides a more generalized treatment of the topic than does the earlier book Lectures on Stochastic Control Theory (ISI Lecture Notes 9), where time-homogeneous cases are dealt with. Here, for finite time-horizon control problems, DPP was formulated as a one-parameter nonlinear semigroup, whose generator provides the HJB equation, by using a time-discretization method. The semigroup corresponds to the value function and is characterized as the envelope of Markovian transition semigroups of responses for constant control processes. Besides finite time-horizon controls, the book discusses control-stopping problems in the same frameworks.