This is a magnificent book! Its purpose is to describe in considerable detail a variety of techniques used by probabilists in the investigation of problems concerning Brownian motion....This is THE book for a capable graduate student starting out on research in probability: the effect of working through it is as if the authors are sitting beside one, enthusiastically explaining the theory, presenting further developments as exercises." –BULLETIN OF THE L.M.S.
This is a magnificent book! Its purpose is to describe in considerable detail a variety of techniques used by probabilists in the investigation of problems concerning Brownian motion....This is THE book for a capable graduate student starting out on research in probability: the effect of working through it is as if the authors are sitting beside one, enthusiastically explaining the theory, presenting further developments as exercises." –BULLETIN OF THE L.M.S.
In this book a global shape model is developed and applied to the analysis of real pictures acquired with a visible light camera under varying conditions of optical degradation. Computational feasibility of the algorithms derived from this model is achieved by analytical means. The aim is to develop methods for image understanding based on structured restoration, for example automatic detection of abnormalities. We also want to find the limits of applicability of the algorithms. This is done by making the optical degradations more and more severe until the algorithms no longer succeed in their task. This computer experiment in pattern theory is one of several. The others, LEAVES, X-RAYS, and RANGE are described elsewhere. This book is suitable for an advanced undergraduate or graduate seminar in pattern theory, or as an accompanying book for applied probability, computer vision, or pattern recognition.
In these meditations Daniel Bourguet enables us to draw alongside the thief on the cross and enter his dialogue with Christ; he guides us downward into the darkness of hell through a reading of Psalm 88; and finally we discover on Easter morning both the confusion and then faith of Mary Magdalene as she meets the Risen Lord (John 20). Bourguet's confidence in the biblical text means that he engages with it and follows wherever it leads, however risky . . . and he emerges--with us--miraculously enriched.
This revised edition is suitable for a first-year graduate course on probability theory. It is intended for students with a good grasp of introductory, undergraduate probability and is a reasonably sophisticated introduction to modern analysis for those who want to learn what these two topics have to say about each other. The first part of the book deals with independent random variables, Central Limit phenomena, the general theory of weak convergence and several of its applications, as well as elements of both the Gaussian and Markovian theory of measures on function space. The introduction of conditional expectation values is postponed until the second part of the book where it is applied to the study of martingales. This section also explores the connection between martingales and various aspects of classical analysis and the connections between Wiener's measure and classical potential theory.
This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. Four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.
Kiyosi Itô's greatest contribution to probability theory may be his introduction of stochastic differential equations to explain the Kolmogorov-Feller theory of Markov processes. Starting with the geometric ideas that guided him, this book gives an account of Itô's program. The modern theory of Markov processes was initiated by A. N. Kolmogorov. However, Kolmogorov's approach was too analytic to reveal the probabilistic foundations on which it rests. In particular, it hides the central role played by the simplest Markov processes: those with independent, identically distributed increments. To remedy this defect, Itô interpreted Kolmogorov's famous forward equation as an equation that describes the integral curve of a vector field on the space of probability measures. Thus, in order to show how Itô's thinking leads to his theory of stochastic integral equations, Stroock begins with an account of integral curves on the space of probability measures and then arrives at stochastic integral equations when he moves to a pathspace setting. In the first half of the book, everything is done in the context of general independent increment processes and without explicit use of Itô's stochastic integral calculus. In the second half, the author provides a systematic development of Itô's theory of stochastic integration: first for Brownian motion and then for continuous martingales. The final chapter presents Stratonovich's variation on Itô's theme and ends with an application to the characterization of the paths on which a diffusion is supported. The book should be accessible to readers who have mastered the essentials of modern probability theory and should provide such readers with a reasonably thorough introduction to continuous-time, stochastic processes.
Differential Diagnosis in Surgical Pathology, 2nd Edition, by Paolo Gattuso, MD, Vijaya B. Reddy, MD, Odile David, MD, and Daniel J. Spitz, MD, is skillfully designed to help you confidently sign out your most complex and challenging cases. Covering a complete range of tumors and tumor-like conditions in all organ systems, it provides a user-friendly road map to the main criteria you should consider in order to differentiate between a variety of potential diagnoses that all have a very similar appearance. Over 1,350 new full-color macro- and microphotographs provide a realistic basis for comparison to what you see under the microscope. Quick checklists cover all diagnostic possibilities to make sure nothing falls through the cracks. A concise, bulleted textual format facilitates quick retrieval of essential facts. A consistent approach to diagnosis and interpretation expedites reference. Coverage of all relevant ancillary diagnostic techniques addresses all of the investigative contexts needed to formulate an accurate diagnosis. Expert "pearls" offer practical tips on what diagnostic criteria to consider or exclude. A comprehensive, yet manageable size allows for quick consultation. Over 1,350 new full-color macro- and microphotographs provide a realistic basis for comparison to what you see under the microscope. Immunohistochemical and molecular techniques throughout enable you to review all of the latest diagnostic considerations in one place. Expanded coverage of non-neoplastic entities assists you in recognizing benign lesions that may mimic the appearance and characteristics of malignant ones. Extensive updates include the latest classification schemes and relevant diagnostic techniques. A brand-new, color-coded layout highlights key points more clearly and helps you turn to the sections you need more speedily.
This book provides a rigorous but elementary introduction to the theory of Markov Processes on a countable state space. It should be accessible to students with a solid undergraduate background in mathematics, including students from engineering, economics, physics, and biology. Topics covered are: Doeblin's theory, general ergodic properties, and continuous time processes. Applications are dispersed throughout the book. In addition, a whole chapter is devoted to reversible processes and the use of their associated Dirichlet forms to estimate the rate of convergence to equilibrium. These results are then applied to the analysis of the Metropolis (a.k.a simulated annealing) algorithm. The corrected and enlarged 2nd edition contains a new chapter in which the author develops computational methods for Markov chains on a finite state space. Most intriguing is the section with a new technique for computing stationary measures, which is applied to derivations of Wilson's algorithm and Kirchoff's formula for spanning trees in a connected graph.
From the reviews: "This book is an excellent presentation of the application of martingale theory to the theory of Markov processes, especially multidimensional diffusions. [...] This monograph can be recommended to graduate students and research workers but also to all interested in Markov processes from a more theoretical point of view." Mathematische Operationsforschung und Statistik
This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. In volume 2, four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.
Publisher's Note: Products purchased from 3rd Party sellers are not guaranteed by the Publisher for quality, authenticity, or access to any online entitlements included with the product. This extensive title, which combines scientific principles with up-to-date clinical procedures, has been thoroughly updated for the fourteenth edition. You’ll find in-depth material on the biology and pathophysiology of lymphomas, leukemias, platelet destruction, and other hematological disorders as well as the procedures for diagnosing and treating them.
This book covers the basics of modern probability theory. It begins with probability theory on finite and countable sample spaces and then passes from there to a concise course on measure theory, which is followed by some initial applications to probability theory, including independence and conditional expectations. The second half of the book deals with Gaussian random variables, with Markov chains, with a few continuous parameter processes, including Brownian motion, and, finally, with martingales, both discrete and continuous parameter ones. The book is a self-contained introduction to probability theory and the measure theory required to study it.
From Lo-Debar to the King's Table is a truly inspiring and uplifting account of Daniel's life and journey from having an orphan heart to Sonship. The book takes you through Daniel's heart-wrenching childhood experiences of feeling unloved, abandoned, lonely, alienated, and isolated. However, his resilience and determination to overcome the obstacles that life has dealt him show his unwavering faith and trust in God. Daniel's story teaches us that even in the face of adversity, we can find strength and hope through our faith in Father God and ultimately that our true identity is only found in Him. Do you know who you are? Where does your identity lie? This book will show you how to find your identity in Christ by seeking His face, ending up in His embrace, as you become an eternal son or daughter of King Jesus! --Lisa Clayton, founder of Get Them to Jesus Ministries and author of A Map from the Womb to Eternity Do you know who you are? Where does your identity lie? This book will show you how to find your identity in Christ by seeking His face, ending up in His embrace, as you become an eternal son or daughter of King Jesus! --Lisa Clayton, founder of Get Them to Jesus Ministries and author of A Map from the Womb to Eternity
The Vine: Apart From Him We Can Do Nothing is written by Author and Pastor Daniel Myers. The Vine is beneficial and unique in that it is broken up into three sections to help the believer flow in reading. It has something to say to everyone who desires to come hard after God. People who pick up this book to read it will soon find that it has a unique outline that shows the plans of the enemy and how to overcome them by the strengthening power of the Holy Spirit and yielding in obedience unto Him. Whether you are a believer in Jesus Christ, merely someone interested in Jesus or perhaps someone who once followed Him but have wondered away, then you need to pick up this book to discover the absolute need for the Holy Spirit, the obstacles and hindrances the enemy uses to distract us and destroy us on our journey and the loving embrace of the Father that seeks to draw us back to Him. The most important thing a believer can do is become obedient to the will of God for their life. Jesus said in John 15:5 "I am the vine; you are the branches. If you remain in me and I in you, you will bear much fruit; apart from me you can do nothing." We must abide with Jesus Christ and His Spirit in order to fulfill His will for our lives.
Schaeffer takes a personal look at God's providence in difficult circumstances. This insightful study takes readers through the often overlooked book of Esther, uncovering the way God moves in all our lives--silent yet active. Discussion questions and studies of the main characters in the story of Esther help readers find a practical perspective on how God moves in our daily lives.
The Judgement Seat of Christ Rediscover the amazing TRUTHS that surround the Judgement Seat of Christ – one of the great forgotten treasures of Scripture. It is a theme central to the doctrine of the New Testament authors and especially to Jesus Christ Himself. Yet it is often missing in modern preaching and teaching. RECEIVE a life-changing eternal perspective! Once awakened to this theme, it will be hard to read even one page of the New Testament without seeing it plainly, or feeling it’s influence. THIS is REAL. It matters how you live. It matters what you do during your life. THIS is what you NEED to KNOW before you GO into ETERNITY!
Are you ready to taste the goodness of God? Join Daniel McCabe for a 31-day adventure into the Bible. Each day you'll discover more of the goodness of God. You'll learn that he desires to use you in his service. You'll find that every taste of God's goodness will leave you wanting more. If you aren't in the habit of reading the Bible each day, it can become a habit for you. Learn that there is no greater pleasure than being with God, learning about him and letting him change your life.
The accounts of Jesus' baptism at the Jordan in the Gospels provide rich and deliberate detail about the mystery of Jesus' identity as God's Son, but also reveal the Father and Holy Spirit. Daniel Bourguet's contemplative read of New Testament Scriptures shed fresh light on the mystery of God's self-revelation that clarifies and inspires worship pursuit of the Holy Spirit, the Father and Jesus.
God says some mind-blowing things in the New Testament. - God is determined to conform us to the image of His Son. - Be filled with all the fullness of God. - Rivers of living water flow out of your bellies. - They overcame the accuser, casting him out of the heavens. Yet Christianity seems to have reduced salvation to going somewhere after we die! What really is the goal of the believer in Jesus Christ? Who are we? Does God intend to make us just like Jesus? How does He do that? God is doing something incredible in His people on this earth right now. Don't be left out; the door is wide open. Discover what God really says in the New Testament about our Home and about our Path there.
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