You go through life and all you know of your childhood are dreams. You grow up thinking you only have a few siblings and later find out you have twenty-three. You think all your life you were adopted, but find out instead that you were sold by your parents. You start to find out the different pieces in your puzzle of life, and you wonder how anyone could have gone through these things and survived. You did more than survive though. Your siblings have found you through years of searching.
A collaboration of professional leaders, thinkers, and seasoned authors introduces the concept of pharmaceutical care - a model of health care practice by which pharmacy practitioners and other medical professionals can improve the drug use process and ensure that patients receive full benefit from pharmacotherapy.
What could be regarded as the beginning of a theory of commutators AB - BA of operators A and B on a Hilbert space, considered as a dis cipline in itself, goes back at least to the two papers of Weyl [3] {1928} and von Neumann [2] {1931} on quantum mechanics and the commuta tion relations occurring there. Here A and B were unbounded self-adjoint operators satisfying the relation AB - BA = iI, in some appropriate sense, and the problem was that of establishing the essential uniqueness of the pair A and B. The study of commutators of bounded operators on a Hilbert space has a more recent origin, which can probably be pinpointed as the paper of Wintner [6] {1947}. An investigation of a few related topics in the subject is the main concern of this brief monograph. The ensuing work considers commuting or "almost" commuting quantities A and B, usually bounded or unbounded operators on a Hilbert space, but occasionally regarded as elements of some normed space. An attempt is made to stress the role of the commutator AB - BA, and to investigate its properties, as well as those of its components A and B when the latter are subject to various restrictions. Some applica tions of the results obtained are made to quantum mechanics, perturba tion theory, Laurent and Toeplitz operators, singular integral trans formations, and Jacobi matrices.
Cal Elgot was a very serious and thoughtful researcher, who with great determi nation attempted to find basic explanations for certain mathematical phenomena as the selection of papers in this volume well illustrate. His approach was, for the most part, rather finitist and constructivist, and he was inevitably drawn to studies of the process of computation. It seems to me that his early work on decision problems relating automata and logic, starting with his thesis under Roger Lyndon and continuing with joint work with Biichi, Wright, Copi, Rutledge, Mezei, and then later with Rabin, set the stage for his attack on the theory of computation through the abstract treatment of the notion of a machine. This is also apparent in his joint work with A. Robinson reproduced here and in his joint papers with John Shepherdson. Of course in the light of subsequent work on decision problems by Biichi, Rabin, Shelah, and many, many others, the subject has been placed on a completely different plane from what it was when Elgot left the area. But I feel that his papers, results-and style-were very definitely influential at the time and may well have altered the course of the investigation of these problems. As Sammy Eilenberg explains, the next big influence on Elgot's thinking was category theory, which gave him a way of expressing his ideas in a sharply algebraic manner. The joint book with Eilenberg is one illustration of this influence.
Sumner County, like many of the counties of Tennessee, finds itself ever-expanding, growing from a predominantly agricultural community once marked by expansive horse farms, a colorful patchwork of sharecroppers' fields, and extravagant antebellum homes into a county full of modern-day luxuries and conveniences. Over the past 100 years, curvy, dusty farm roads eventually evolved into paved highways and interstates, and "mom and pop" stores gave way to supermarkets and expansive malls. Around Gallatin and Sumner County Volume II continues to explore and celebrate the Sumner County of yesteryear. In this volume, readers will enjoy strolling through old neighborhoods, meeting local celebrities such as "Tippy" Crutcher, Fred Astair's stand-in, holding their breath as they marvel at Crash Brown's stunt drivers, busting up illegal moonshine stills on the outskirts of town, walking through the doors of the growing industries, and gazing at grand buildings torn down in the name of progress. Through these fascinating images and their stories, this book shares a more personal side of Gallatin and Sumner County that cannot always be found in history books--a side that celebrates the everyday lives and activities of its citizens.
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