Download or read book Uniqueness written by C.R. Snyder and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: My Red Shirt and Me The red shirt incident begins with a rather ordinary red shirt. Not a brightly colored red shirt, not a dramatic cherry or firehouse red, more like a faded burgundy. But, for several days, my very iden tity was bound up in its redness. It was me, and I wore it with the pride a matador takes in his splendid cape, a hero in his medals of bravery, or a nun in her religious habit. I'll never forget the bound less joy I felt wearing that simple, pullover, short-sleeved red shirt in the hospital--or the rush of relief that I experienced when, at last, I decided to surrender it. However, we are getting ahead of our story, which starts a short time earlier with a most unfortunate accident. A light flurry of wet snow had begun to fall as the university limousine turned the corner on its way from the Bronx campus of New York University to the downtown campus. Although eight of us were packed into the car and had resigned ourselves to the usual boring faculty meeting awaiting us, somehow a spontaneous air of joviality was created.

Download or read book Uniqueness and Non Uniqueness of Semigroups Generated by Singular Diffusion Operators written by Andreas Eberle and published by Springer. This book was released on 2007-01-05 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses both probabilists working on diffusion processes and analysts interested in linear parabolic partial differential equations with singular coefficients. The central question discussed is whether a given diffusion operator, i.e., a second order linear differential operator without zeroth order term, which is a priori defined on test functions over some (finite or infinite dimensional) state space only, uniquely determines a strongly continuous semigroup on a corresponding weighted Lp space. Particular emphasis is placed on phenomena causing non-uniqueness, as well as on the relation between different notions of uniqueness appearing in analytic and probabilistic contexts.

Download or read book Uniqueness Theorems in Linear Elasticity written by Robin J. Knops and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical result for uniqueness in elasticity theory is due to Kirchhoff. It states that the standard mixed boundary value problem for a homogeneous isotropic linear elastic material in equilibrium and occupying a bounded three-dimensional region of space possesses at most one solution in the classical sense, provided the Lame and shear moduli, A and J1 respectively, obey the inequalities (3 A + 2 J1) > 0 and J1>O. In linear elastodynamics the analogous result, due to Neumann, is that the initial-mixed boundary value problem possesses at most one solution provided the elastic moduli satisfy the same set of inequalities as in Kirchhoffs theorem. Most standard textbooks on the linear theory of elasticity mention only these two classical criteria for uniqueness and neglect altogether the abundant literature which has appeared since the original publications of Kirchhoff. To remedy this deficiency it seems appropriate to attempt a coherent description ofthe various contributions made to the study of uniqueness in elasticity theory in the hope that such an exposition will provide a convenient access to the literature while at the same time indicating what progress has been made and what problems still await solution. Naturally, the continuing announcement of new results thwarts any attempt to provide a complete assessment. Apart from linear elasticity theory itself, there are several other areas where elastic uniqueness is significant.

Download or read book Making Sense of Infinite Uniqueness written by Sergio Salvatore and published by IAP. This book was released on 2013-02-01 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: YIS has been thought as an annual series of volumes collecting contributes aimed at developing the integration of idiographic and nomothetic approaches in psychological and more in general social science. At the beginning, 3 years ago, we got an agreement with an Italian publisher (FGP - Firera Publishing Group) interested in the scientific project and therefore willing to help the start up of this scientific enterprise. After publishing the first volume (YIS 2008- yet published in 2009 - the Volume is freely available on the FPG's website) we have had many positive feedbacks and signals of interests, as well as several submissions, from many parts of the world . This has provided an acceleration of the following issues - Above all, this led us to realize that it was time to give an editorial collocation to YIS that can be more consistent with the interest it has raised and that can ulteriorly raise. FPG does not put constraint on this perspective, being aware and agreed of the necessity of a worldwide context for the YIS's development. Moreover, there are no constraints in the possibility of going on in using the label "YIS," starting from Volume 4 The Series addresses a quite large potential public - students and researchers interested to theoretical and methodological development of psychology and, more in general, social science. Persons engaged with qualitative, dynamic informed models of analysis will find YIS a precious tool as well as a context enabling to develop a worlwide network of practices and cultures of research. The first three volumes' TOC witness how large and constantly increasing is the interest around the scientific project.

Download or read book Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations written by Ratan Prakash Agarwal and published by World Scientific. This book was released on 1993 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph aims to fill a void by making available a source book which first systematically describes all the available uniqueness and nonuniqueness criteria for ordinary differential equations, and compares and contrasts the merits of these criteria, and second, discusses open problems and offers some directions towards possible solutions.

Download or read book Ignite Your Uniqueness written by Darryl Moore, PgMP and published by Darryl Moore. This book was released on with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Life’s journey taught me how staying inspired strengthens purposefulness, enthusiasm empowers a creative mindset for realizing possibilities, and yielding to destiny’s calling awakens the giant within. Along the way, I learned that Communication is a powerful alignment tool. Attitude decides a person’s perspective. Knowledge holds the primary resource that generates personal power when united with a vibrant vision. And Expertise confirms an individual’s dominant talent sculpted into giftedness and evidenced by moments of brilliance. This book holds unique insights for pursuing your vision while realizing your ambitions, desires, and “meant to be” calling so that you, too, can prosper beyond expectations amid the COVID-19 era.”

Download or read book A Basic Guide to Uniqueness Problems for Evolutionary Differential Equations written by Mi-Ho Giga and published by Springer Nature. This book was released on 2023-10-16 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the issue of uniqueness of a solution to a problem – a very important topic in science and technology, particularly in the field of partial differential equations, where uniqueness guarantees that certain partial differential equations are sufficient to model a given phenomenon. This book is intended to be a short introduction to uniqueness questions for initial value problems. One often weakens the notion of a solution to include non-differentiable solutions. Such a solution is called a weak solution. It is easier to find a weak solution, but it is more difficult to establish its uniqueness. This book examines three very fundamental equations: ordinary differential equations, scalar conservation laws, and Hamilton-Jacobi equations. Starting from the standard Gronwall inequality, this book discusses less regular ordinary differential equations. It includes an introduction of advanced topics like the theory of maximal monotone operators as well as what is called DiPerna-Lions theory, which is still an active research area. For conservation laws, the uniqueness of entropy solution, a special (discontinuous) weak solution is explained. For Hamilton-Jacobi equations, several uniqueness results are established for a viscosity solution, a kind of a non-differentiable weak solution. The uniqueness of discontinuous viscosity solution is also discussed. A detailed proof is given for each uniqueness statement. The reader is expected to learn various fundamental ideas and techniques in mathematical analysis for partial differential equations by establishing uniqueness. No prerequisite other than simple calculus and linear algebra is necessary. For the reader’s convenience, a list of basic terminology is given at the end of this book.

Download or read book Uniqueness Theory of Meromorphic Functions written by Chung-Chun Yang and published by Springer Science & Business Media. This book was released on 2004-10-04 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first monograph in the field of uniqueness theory of meromorphic functions dealing with conditions under which there is the unique function satisfying given hypotheses. Developed by R. Nevanlinna, a Finnish mathematician, early in the 1920's, research in the field has developed rapidly over the past three decades with a great deal of fruitful results. This book systematically summarizes the most important results in the field, including many of the authors' own previously unpublished results. In addition, useful skills and simple proofs are introduced. This book is suitable for higher level and graduate students who have a basic grounding in complex analysis, but will also appeal to researchers in mathematics.

Download or read book Black Hole Uniqueness Theorems written by Markus Heusler and published by Cambridge University Press. This book was released on 1996-07-25 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction to the mathematical theory of black holes.

Download or read book Uniqueness Theorems for Variational Problems by the Method of Transformation Groups written by Wolfgang Reichel and published by Springer Science & Business Media. This book was released on 2004-05-13 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classical problem in the calculus of variations is the investigation of critical points of functionals {\cal L} on normed spaces V. The present work addresses the question: Under what conditions on the functional {\cal L} and the underlying space V does {\cal L} have at most one critical point? A sufficient condition for uniqueness is given: the presence of a "variational sub-symmetry", i.e., a one-parameter group G of transformations of V, which strictly reduces the values of {\cal L}. The "method of transformation groups" is applied to second-order elliptic boundary value problems on Riemannian manifolds. Further applications include problems of geometric analysis and elasticity.

Download or read book Discovering Your Uniqueness written by Sheila White and published by Trafford Publishing. This book was released on 2020-12-30 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discovering Your Uniqueness discusses the tales of two worlds, the earthy world intertwined with the spiritual world. Sheila White takes you by the hand and walks with you on a transformation journey to live your best purpose-driven life. You will find your moments of clarity as you harness the power of purpose. Sheila White will help you raise your energy to a higher level as you tune in, tap in, and turn up your vibrational frequency of thought. Each chapter will leave you with many thought-provoking antidotes that counteract those stumbling blocks of negativity and F.E.A.R. of failure. Sheila White will help you on your journey of expanding your wisdom, knowledge, and understanding of how Discovering Your Uniqueness is vital. This book is a must-read for those who seek tremendous results in your personal, business, and spiritual life. Discovering Your Uniqueness is the key to unleashing the seeds of greatness planted inside of you at birth. Allow the U on your chest to shine bright and illuminate the planet because of your Unique gift!

Download or read book The Uniqueness of Biological Materials written by A. E. Needham and published by Elsevier. This book was released on 2013-10-22 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Uniqueness of Biological Materials deals with the unique properties of biological materials, carbohydrates, lipids, proteins, and nucleic acids and the extent to which this uniqueness is related to the uniqueness of life in general. More specifically, it examines whether the uniqueness of life is inherent in the material of living organisms. This volume is comprised of 32 chapters and begins with an introduction to the nature of biological uniqueness and how it is related to the uniqueness of life by comparing the elemental composition of living organisms with that of their environment. The discussion then turns to the uniqueness of hydrogen and oxygen which make up water; carbon; carbohydrates; and ternary compounds that are more fully oxidized than carbohydrates. Ternary compounds of intermediate grades of reduction are also considered, along with fatty acids and related lipids, paraffins, and olefins and ternary unsaturated compounds. Other biological materials discussed include peptides, proteins, amino acids, and halogens. This book will be of interest to students and practitioners of biology and biochemistry.

Download or read book The Uniqueness of Jesus written by Leonard J. Swidler and published by Wipf and Stock Publishers. This book was released on 2008-01-01 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since publication of his landmark book, No Other Name?, Paul Knitter's work has crystallized discussions and defined some of the most basic questions in Christian theology. This is so particularly in the debate over the uniqueness of Jesus as God's son and as all of humankind's sole redeemer. In The Uniqueness of Jesus, Knitter responds to the request of editors Leonard Swidler and Paul Mojzes to state the most adequate case for a viable Christian theology of religionsand for the demands of living ecumenically in a religiously plural world. The result is Knitter's five basic theses on the uniqueness of Jesus that comprise the opening statement of this dialogue. In response, a score of influential women and men comment on these five theses, including Harvey Cox, Monika Hellweg, Hans Kung, Wesley Ariarajah, Clark H. Pinnock, Jose Miquez Bonino, John McQuarrie, Raimon Panikkar, John Sanders, John Mbiti, Ingred Shafer, Michael Alamadoss, Kajsa Ahlstrand, Michael von Bruck, John B. Cobb Jr., Kenneth Cragg, Antony Fernando, John Hick, Karl-Josef Kuschel, and Seiichi Yagi. Knitter then responds to his critics, some of whon, he concedes, make substantial points that reveal the difficulties of the road ahead.

Download or read book Uniqueness and Non Uniqueness in the Cauchy Problem written by Zuily and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Carleman Estimates and Applications to Uniqueness and Control Theory written by Feruccio Colombini and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume reflect a subsequent development after a scientific meeting entitled Carleman Estimates and Control Theory, held in Cartona in September 1999. The 14 research-level articles, written by experts, focus on new results on Carleman estimates and their applications to uniqueness and controlla bility of partial differential equations and systems. The main topics are unique continuation for elliptic PDEs and systems, con trol theory and inverse problems. New results on strong uniqueness for second or higher order operators are explored in detail in several papers. In the area of control theory. the reader will find applications of Carleman estimates to stabiliza tion, observability and exact control for the wave and the SchrOdinger equations. A final paper presents a challenging list of open problems on the topic of control lability of linear and sernilinear heat equations. The papers contain exhaustive and essentially self-contained proofs directly ac cessible to mathematicians, physicists, and graduate students with an elementary background in PDEs. Contributors are L. Aloui, M. Bellassoued, N. Burq, F. Colombini, B. Dehman, C. Grammatico, M. Khenissi, H. Koch, P. Le Borgne, N. Lerner, T. Nishitani. T. Okaji, K.D. Phung, R. Regbaoui, X. Saint Raymond, D. Tataru, and E. Zuazua.

Download or read book The Uniqueness of Jesus Christ written by Jimmy H. DeMoss and published by Christian Faith Publishing, Inc.. This book was released on 2023-05-19 with total page 67 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some two thousand years ago, a man appeared in Palestine, a man who was different from any other person in the world. He made some stupendous claims. He claimed to be the Son of God, to be able to forgive sins, to be eternal. Moreover, He claimed that He had come from God and that the words that He spoke were God's words. And He backed up these claims by casting out demons, giving sight to the blind, and raising the dead. He was indeed special in every gracious way. Throughout human history, there has been no one like Him. He alone had two natures: He was both God and man in one person. He alone was perfect in every way: in thought, word, and deed. He alone had miraculous powers that could heal the sick, make the invalid whole, and calm the troubled sea. He alone came to this world like no other person. He came specifically to die for sinners and to make salvation accessible to the world. Who is this man? He is Jesus of Nazareth. He is the Son of God. He is the Savior of sinners. He is the person you will read about in this book, The Uniqueness of Jesus Christ.

Download or read book Descriptive Set Theory and the Structure of Sets of Uniqueness written by A. S. Kechris and published by Cambridge University Press. This book was released on 1987-11-27 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: To make this work accessible to logicians as well as set theorists and analysts, classical and modern theory of sets of uniqueness are covered as well as the relevant parts of descriptive set theory.