This book describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility. Coverage includes historical development, basic properties, eigenvalue and singular value inequalities, matrix inequalities in both finite and infinite dimensional settings, closure properties, and applications in statistics, probability, and numerical analysis.
The complement system is a protein system that combines with antibodies to form a defense against bugs and viruses. This book contains entries on all its components, including C1q and lectins, serine proteases, and terminal pathway proteins.
This monograph examines the syntax of bare infinitival and participial complements of perception verbs in English and other European languages, and investigates the general conditions under which verbal complement clauses are licensed. The introductory chapter is followed by an overview of the major syntactic and semantic characteristics of non-finite complements of perception verbs in English. The third chapter presents an analysis within the framework of Chomsky's (1995) Minimalist Program according to which event-denoting complements are minimally realised as projections of an aspectual head. In the next chapter, it is argued that verbs capable of licensing aspectual complement clauses must be able to function as a special type of control predicate, an assumption which is shown to account for a number of seemingly unrelated properties of the constructions under consideration. The final chapter examines syntactically reduced clausal complements from a cross-linguistic perspective, showing that Southern Romance languages differ from Germanic ones with respect to the availability of 'bare' aspectual complement clauses, a difference that is attributed to morphological properties of verbs in these languages.
The aim of the former editions remains unchanged in the present updated version, namely to put forward a general and comprehensive review on complement. It is intended not only for individual investigators working in this specific field, but also for those who are less familiar with it. Students or younger scientists will hopefully be stimulated and attracted by the fascination of complement biology. Again, it was clear from the beginning that the field has experienced an explosive expansion in various directions and continues to accumulate data too large to be dealt with by a single author in a critical and coherent manner. The editors are grateful that the invited authors, all of them leading scientists in their field, helped again to make The Complement System a true mirror of the state of the art. Some parallels in the various chapters were accepted, as was a particular emphasis on newer developments in some chapters.
As a phylogenetically old system complement is now regarded as a part of innate immunity. But it is much more than that. It bridges innate and adapted immunity, participates not only in host defense but also in many essential physiological processes, old and new diseases and adverse conditions. Indeed, complement became a term that almost defies categorization. What was for a long time a subject for a limited number of specialists has now moved into the mainstream of experimental and clinical immunology. In 1973 I visited the Basel Institute of Immunology and met its director, the eminent scientist and Nobel laureate Nils Jerne. When I entered his office he greeted me with the following words: “Complement, does that really exist?” I was never certain whether he wanted only to tease me or whether he sincerely believed that the complement system was an unimportant biological curiosity, a misstep of evolution. But, of course, missteps do not survive the evolutionary process. Little did I foresee the dramatic developments of recent years when Hans J. Müller-Eberhard and I started to unravel the specifics of the action of the cobra venom factor on the complement system in 1968 and defined a new pathway to its activation. An elucidation of the role of the system in diseases and its control for therapeutic reasons is now getting closer to actual realization in the clinic although many problems, in particular those of highly specificinhibition free of side effects, have still to be resolved.
Complement shines a compelling light on the beauty of marriage as God intends it. Through storytelling and real-life examples, Aaron and Jamie Ivey will dismantle the distorted cultural views of submission, servanthood, and leadership within a marriage, instead offering a better view of healthy, godly marriage. In this study, readers will walk through the purpose of marriage as the Scripture relates it, and tackle topics such as family mission, sex, leadership, fighting, and forgiveness. The Iveys explain how marriage is meant to not only give life and hope to both husband and wife, but also point the world to Christ. Just as complementary colors come together to make a more vibrant painting, so husband and wife bring strength, beauty, and dignity to a marriage relationship and together leverage their individual giftings on the unique mission God has for their family. Features: 6 weeks of personal study to complete between 7 group sessions Leader guide to help guide group meetings Teaching videos, approximately 15-20 minutes per session, available for purchase or rent Benefits: Replace cultural lies about love and marriage with biblical insight about what God intends marriage to be. Be challenged to build a marriage that reflects Christ's love for His people. Learn how to embrace God's mission for your family. Be reminded that your marriage is worth fighting for.