Pain. It is experienced by everyone at one time or another. Young or old, pain afflicts; pain hurts. Pain is universal and without prejudice. All kinds of attempts have been made to eliminate this pillager of comfort. In spite of all of the medical advancements and mystical applications, quite often pain remains. It can evolve into new manifestations without warning. Pain can become chronic. I know firsthand. I’m a chronic one. Whether your pain is physical or relational, emotional or spiritual, these short but inspiring devotions written from experience will provide new avenues for navigating your journey of suffering. If you are searching for hope in the midst of pain, ChronicOnes is written for you. Open this book and settle in. I will meet you there.
Pain. It is experienced by everyone at one time or another. Young or old, pain afflicts; pain hurts. Pain is universal and without prejudice. All kinds of attempts have been made to eliminate this pillager of comfort. In spite of all of the medical advancements and mystical applications, quite often pain remains. It can evolve into new manifestations without warning. Pain can become chronic. I know firsthand. I’m a chronic one. Whether your pain is physical or relational, emotional or spiritual, these short but inspiring devotions written from experience will provide new avenues for navigating your journey of suffering. If you are searching for hope in the midst of pain, ChronicOnes is written for you. Open this book and settle in. I will meet you there.
Scars. We all have them. Some are physical and others, emotional. We were injured in one way or another. Our physical scars are quite visible, but our emotional scars are not. These internalized misfortunes remain with us, as if stored away below deck. Buried feelings, without warning, can be triggered and abruptly resurface at any time. Please know, you are not alone. Each of us carries invisible wounds, and we may even cry invisible tears. I can identify and fully understand. Unlike healing physical pain, there are no ointments or lotions to treat our fractured emotions. I guess that’s why we try to repress them inside. Yet the biblical psalmist said, “He restores my soul.” And that restoration is available to you and me. No pain has to be in vain. Telling stories of God’s renewing strength through personal setbacks, trials, and adversity, I share what I believe to be enlivening pathways to lasting wholeness. Join me in an adventure toward soothing our silent suffering and healing our hidden hurts. The body and soul are connected. By addressing one, the other is likewise affected. May God graciously touch those deep recesses of pain accumulated along life’s path. Hope awaits. Cornelius W. May (Neal) holds a Doctor of Ministry degree from Ashland Theological Seminary and has served as a Senior Pastor for over forty years. Neal attended Kent State University in the turbulent 1960s and earned a Bachelor of Fine Arts degree with a Minor in Education. As a seasoned minister, Dr. May has experienced the balance of both Spirit and Word, illumination and reason. He was founder and president of Hosanna Bible Training Center and instructor of Biblical Interpretation and Contemporary Preaching. In addition, he continues to serve as an adjunct professor for Ashland Seminary, where he has taught Small Group Ministry, Communication and Conflict in the Church, and Archaeology of the New Testament. www.theredemptioncenter.church 128
In general, little is known about the representation theory of quantum groups (resp., algebraic groups) when l (resp., p ) is smaller than the Coxeter number h of the underlying root system. For example, Lusztig's conjecture concerning the characters of the rational irreducible G -modules stipulates that p=h. The main result in this paper provides a surprisingly uniform answer for the cohomology algebra H (u ? ,C) of the small quantum group.
This volume is the first diverse and comprehensive treatment of algorithms and architectures for the realization of neural network systems. It presents techniques and diverse methods in numerous areas of this broad subject. The book covers major neural network systems structures for achieving effective systems, and illustrates them with examples. This volume includes Radial Basis Function networks, the Expand-and-Truncate Learning algorithm for the synthesis of Three-Layer Threshold Networks, weight initialization, fast and efficient variants of Hamming and Hopfield neural networks, discrete time synchronous multilevel neural systems with reduced VLSI demands, probabilistic design techniques, time-based techniques, techniques for reducing physical realization requirements, and applications to finite constraint problems. A unique and comprehensive reference for a broad array of algorithms and architectures, this book will be of use to practitioners, researchers, and students in industrial, manufacturing, electrical, and mechanical engineering, as well as in computer science and engineering. Radial Basis Function networks The Expand-and-Truncate Learning algorithm for the synthesis of Three-Layer Threshold Networks Weight initialization Fast and efficient variants of Hamming and Hopfield neural networks Discrete time synchronous multilevel neural systems with reduced VLSI demands Probabilistic design techniques Time-based techniques Techniques for reducing physical realization requirements Applications to finite constraint problems Practical realization methods for Hebbian type associative memory systems Parallel self-organizing hierarchical neural network systems Dynamics of networks of biological neurons for utilization in computational neuroscience
Classic work on analysis and design of finite processes for approximating solutions of analytical problems. Features algebraic equations, matrices, harmonic analysis, quadrature methods, and much more.
Originally published in 1961, this Classics edition continues to be appealing because it describes a large number of techniques still useful today. Although the primary focus is on the analytical theory, concrete cases are cited to forge the link between theory and practice. Considerable manipulative skill in the practice of differential equations is to be developed by solving the 350 problems in the text. The problems are intended as stimulating corollaries linking theory with application and providing the reader with the foundation for tackling more difficult problems. Lanczos begins with three introductory chapters that explore some of the technical tools needed later in the book, and then goes on to discuss interpolation, harmonic analysis, matrix calculus, the concept of the function space, boundary value problems, and the numerical solution of trajectory problems, among other things. The emphasis is constantly on one question: "What are the basic and characteristic properties of linear differential operators?" In the author's words, this book is written for those "to whom a problem in ordinary or partial differential equations is not a problem of logical acrobatism, but a problem in the exploration of the physical universe. To get an explicit solution of a given boundary value problem is in this age of large electronic computers no longer a basic question. But of what value is the numerical answer if the scientist does not understand the peculiar analytical properties and idiosyncrasies of the given operator? The author hopes that this book will help in this task by telling something about the manifold aspects of a fascinating field.
Statistical thermodynamics and the related domains of statistical physics and quantum mechanics are very important in many fields of research, including plasmas, rarefied gas dynamics, nuclear systems, lasers, semiconductors, superconductivity, ortho- and para-hydrogen, liquid helium, and so on. Statistical Thermodynamics: Understanding the Properties of Macroscopic Systems provides a detailed overview of how to apply statistical principles to obtain the physical and thermodynamic properties of macroscopic systems. Intended for physics, chemistry, and other science students at the graduate level, the book starts with fundamental principles of statistical physics, before diving into thermodynamics. Going further than many advanced textbooks, it includes Bose-Einstein, Fermi-Dirac statistics, and Lattice dynamics as well as applications in polaron theory, electronic gas in a magnetic field, thermodynamics of dielectrics, and magnetic materials in a magnetic field. The book concludes with an examination of statistical thermodynamics using functional integration and Feynman path integrals, and includes a wide range of problems with solutions that explain the theory.
This scholarly set of well-harmonized volumes provides indispensable and complete coverage of the exciting and evolving subject of medical imaging systems. Leading experts on the international scene tackle the latest cutting-edge techniques and technologies in an in-depth but eminently clear and readable approach.Complementing and intersecting one another, each volume offers a comprehensive treatment of substantive importance to the subject areas. The chapters, in turn, address topics in a self-contained manner with authoritative introductions, useful summaries, and detailed reference lists. Extensively well-illustrated with figures throughout, the five volumes as a whole achieve a unique depth and breath of coverage.As a cohesive whole or independent of one another, the volumes may be acquired as a set or individually.
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