Research in computational group theory, an active subfield of computational algebra, has emphasised three areas: finite permutation groups, finite solvable groups, and finitely presented groups. This book deals with the third of these areas. The author emphasises the connections with fundamental algorithms from theoretical computer science, particularly the theory of automata and formal languages, computational number theory, and computational commutative algebra. The LLL lattice reduction algorithm and various algorithms for Hermite and Smith normal forms from computational number theory are used to study the abelian quotients of a finitely presented group. The work of Baumslag, Cannonito and Miller on computing nonabelian polycyclic quotients is described as a generalisation of Buchberger's Gröbner basis methods to right ideals in the integral group ring of a polycyclic group. Researchers in computational group theory, mathematicians interested in finitely presented groups and theoretical computer scientists will find this book useful.
How cutting-edge economics can improve decision-making methods for doctors Although uncertainty is a common element of patient care, it has largely been overlooked in research on evidence-based medicine. Patient Care under Uncertainty strives to correct this glaring omission. Applying the tools of economics to medical decision making, Charles Manski shows how uncertainty influences every stage, from risk analysis to treatment, and how this can be reasonably confronted. In the language of econometrics, uncertainty refers to the inadequacy of available evidence and knowledge to yield accurate information on outcomes. In the context of health care, a common example is a choice between periodic surveillance or aggressive treatment of patients at risk for a potential disease, such as women prone to breast cancer. While these choices make use of data analysis, Manski demonstrates how statistical imprecision and identification problems often undermine clinical research and practice. Reviewing prevailing practices in contemporary medicine, he discusses the controversy regarding whether clinicians should adhere to evidence-based guidelines or exercise their own judgment. He also critiques the wishful extrapolation of research findings from randomized trials to clinical practice. Exploring ways to make more sensible judgments with available data, to credibly use evidence, and to better train clinicians, Manski helps practitioners and patients face uncertainties honestly. He concludes by examining patient care from a public health perspective and the management of uncertainty in drug approvals. Rigorously interrogating current practices in medicine, Patient Care under Uncertainty explains why predictability in the field has been limited and furnishes criteria for more cogent steps forward.
Today with so many changes in society, stress in our daily lives, and mistrusts among nations it is important to look to the Bible for guidance and inspiration. God still speaks to men through His Word. Matthew focuses on Jesus as the Messiah and the King. He demonstrates that Jesus was the fulfillment of Old Testament prophecies and the promise God had made to Israel. Although Matthew does not have the universal appeal of Luke, he does show how Gentiles were a part of Jesus’ ministry in spite of His desire to focus on the people of Israel. They are represented in the genealogy, in the visit of the Magi, in the healing of the centurion’s servant, the deliverance of the daughter of the Syrophoenician woman, the centralization of His ministry in “Galilee of the Gentiles,” and in the Great Commission. The commentary is an exposition of the Gospel of Matthew, which considers the context, historical background, parallel passages of Scripture, in addition to theological principles. It includes a bibliography, charts, maps, and other helps. Its contents are designed to help pastors, teachers, and Bible students to read the Gospel of Matthew with greater clarity and understanding, and helps them proclaim God’s Word with power and conviction. This new commentary on the Gospel of Matthew provides the scholar, student, and ministry practitioner with access to the Gospel. It opens Matthew’s message of Jesus as the Messiah and King with clarity and emphasis. One comes away from the commentary encouraged to proclaim that same message—Jesus is the Messiah and King! James Railey, Jr., PhD, Former Academic Dean A/G Theological Seminary Dr. Charles Estridge has given students and preachers of Scripture a great gift in this new Gospel commentary. His study of Matthew is wide-ranging in its sources, faithful to the plain meaning of Scripture, concise in structure, warmly pastoral in application, and irenic in its discussion of varying viewpoints. Best of all, the serious student of God’s Word will find spiritual bread here which he or she can feed to others who hunger for the Word of God. Enjoy this exposition of Matthew’s five discourses on the teachings and life of the Messiah—the One who inherited the Kingdom of David and fulfilled the world-changing promises made to Abraham! Paul York, PhD, Chi Alpha Missions Training and Mobilization Dr. Charles Estridge is a capable scholar and a ministry practitioner with years of experience in pastoral ministry and theological training in bible schools in America and Africa. Moreover, he is a man who loves Jesus Christ and who has spent his life in service for the Church. Pastors, teachers, and students of the Bible will find his commentary full of insight into the message of the Gospel of Matthew. It demonstrates careful exegesis and practical reflection on the meaning of the text. It is a valuable tool that will help those called by God to preach and teach His word. I highly recommend it. Mark Turney, President West Africa School of Theology
“Brilliant . . . really gives one a sense of what it took to both lead and run an army in the Civil War. . . . Superb.” —Chris Kolakowski, author of The Virginia Campaigns: March–August 1862 In From Arlington to Appomattox, Charles Knight does for Robert E. Lee and students of the Civil War what E. B. Long’s Civil War Day by Day did for our understanding of the conflict as a whole. This is not another Lee biography, but it is every bit as valuable as one. We know Lee rode out to meet the survivors of Pickett’s Charge and accept blame for the defeat, that he tried to lead the Texas Brigade in a counterattack to save the day at the Wilderness, and took a tearful ride from Wilmer McLean’s house at Appomattox. But where was Lee and what was he doing when the spotlight of history failed to illuminate him? Focusing on what he was doing day by day offers an entirely different appreciation for Lee. Readers will come away with a fresh sense of his struggles, both personal and professional, and discover many things about Lee for the first time through his own correspondence and papers. From Arlington to Appomattox is a tremendous contribution to the literature of the Civil War. “Knight’s study will become the standard reference work on Lee’s daily wartime experiences.” —R. E. L. Krick, author of Staff Officers in Gray “A staggering work of scholarship.” —Jeffry D. Wert, author of A Glorious Army: Robert E. Lee’s Triumph, 1862–1863 "A pleasure to read.” —Michael C. Hardy, author of General Lee’s Immortals “Keeps the reader engaged.” —Journal of America's Military Past
The most current, comprehensive question-and-answer review of diagnostic medical sonography for national certification examination preparation. This popular review covers all facets of ultrasound, including basic physics, vascular sonography, ob/gyn, transvaginal, transrectal, adult and pediatric echocardiography, and neurosonography. Includes hundreds of images and 12 pages in full color.
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