In this paper we develop the categorical foundations needed for working out completely the rigorous approach to the definition of conformal field theory outlined by Graeme Segal. We discuss pseudo algebras over theories and 2-theories, their pseudo morphisms, bilimits, bicolimits, biadjoints, stacks, and related concepts. These 2-categorical concepts are used to describe the algebraic structure on the class of rigged surfaces. A rigged surface is a real, compact, not necessarilyconnected, two dimensional manifold with complex structure and analytically parametrized boundary components. This class admits algebraic operations of disjoint union and gluing as well as a unit. These operations satisfy axioms such as unitality and distributivity up to coherence isomorphisms whichsatisfy coherence diagrams. These operations, coherences, and their diagrams are neatly encoded as a pseudo algebra over the 2-theory of commutative monoids with cancellation. A conformal field theory is a morphism of stacks of such structures. This paper begins with a review of 2-categorical concepts, Lawvere theories, and algebras over Lawvere theories. We prove that the 2-category of small pseudo algebras over a theory admits weighted pseudo limits and weighted bicolimits. This 2-category isbiequivalent to the 2-category of algebras over a 2-monad with pseudo morphisms. We prove that a pseudo functor admits a left biadjoint if and only if it admits certain biuniversal arrows. An application of this theorem implies that the forgetful 2-functor for pseudo algebras admits a leftbiadjoint. We introduce stacks for Grothendieck topologies and prove that the traditional definition of stacks in terms of descent data is equivalent to our definition via bilimits. The paper ends with a proof that the 2-category of pseudo algebras over a 2-theory admits weighted pseudo limits. This result is relevant to the definition of conformal field theory because bilimits are necessary to speak of stacks.
A comprehensive guide to multicultural literature for children, this valuable resource features more than 1,600 titles—including fiction, folktales, poetry, and song books—that focus on diverse cultural groups. The selected titles, pubished between the 1970s and 1990s are suitable for use with preschoolers through sixth graders and are likely to be found on the shelves of school and public libraries. Topics are timely, with an emphasis on books that reflect the needs and interests of today's children. Each detailed entry includes bibliographic information. Use level is also included, as are cultural designation, subjects, and a summary. The invaluable Subject Access section incorporates use level culture information.
Navigate equity investments and asset valuation with confidence Equity Asset Valuation, Third Edition blends theory and practice to paint an accurate, informative picture of the equity asset world. The most comprehensive resource on the market, this text supplements your studies for the third step in the three-level CFA certification program by integrating both accounting and finance concepts to explore a collection of valuation models and challenge you to determine which models are most appropriate for certain companies and circumstances. Detailed learning outcome statements help you navigate your way through the content, which covers a wide range of topics, including how an analyst approaches the equity valuation process, the basic DDM, the derivation of the required rate of return within the context of Markowitz and Sharpe's modern portfolio theory, and more. Equity investments encompass the buying and holding of shares of stock in the anticipation of collecting income from dividends and capital gains. Determining which shares will be profitable is key, and an array of valuation techniques is applied on today's market to decide which stocks are ripe for investment and which are best left out of your portfolio. Access the most comprehensive equity asset valuation text on the market Leverage detailed learning outcome statements that focus your attention on key concepts, and guide you in applying the material accurately and effectively Explore a wide range of essential topics, such as the free cash flow approach, valuation using Graham and Dodd type concepts of earning power, associated market multiples, and residual income models Improve your study efforts by leveraging the text during your CFA certification program prep Equity Asset Valuation, Third Edition is a comprehensive, updated text that guides you through the information you need to know to fully understand the general analysis of equity investments.
The unique history and development of FastLane, the central nervous system of the National Science Foundation. Since 2000, the National Science Foundation has depended upon its pioneering FastLane e-government system to manage grant applications, peer reviews, and reporting. In this behind-the-scenes account Thomas J. Misa and Jeffrey R. Yost examine how powerful forces of science and computing came together to create this influential grant-management system, assessing its impact on cutting-edge scientific research. Why did the NSF create FastLane, and how did it anticipate the development of web-based e-commerce? What technical challenges did the glitch-prone early system present? Did the switch to electronic grant proposals disadvantage universities with fewer resources? And how did the scientific community help shape FastLane? Foregrounding the experience of computer users, the book draws on hundreds of interviews with scientific researchers, sponsored project administrators, NSF staff, and software designers, developers, and managers.
The first instances of deformation theory were given by Kodaira and Spencer for complex structures and by Gerstenhaber for associative algebras. Since then, deformation theory has been applied as a useful tool in the study of many other mathematical structures, and even today it plays an important role in many developments of modern mathematics. This volume collects a few self-contained and peer-reviewed papers by experts which present up-to-date research topics in algebraic and motivic topology, quantum field theory, algebraic geometry, noncommutative geometry and the deformation theory of Poisson algebras. They originate from activities at the Max-Planck-Institute for Mathematics and the Hausdorff Center for Mathematics in Bonn.
This is the true story of a draftee in the U.S. Army Military Police Corps during the mid-1960s. Chapters 1, 2 and 3 describe Army life in detail from the Draft Board Office in November 1965, to the Induction Station in Detroit, the Reception Station and Basic Combat Training at Fort Knox, Kentucky, on through Advanced Individual Training at Fort Gordon, Georgia. Chapters 4 and 5 cover duties the 218th MP Company serving a peace-keeping mission in the Dominican Republic, to the 503rd MP Battalion at Fort Bragg, North Carolina. Chapter 6 describes duties as an MP guard with the 22nd MP Platoon (100th MP Battalion) at the Fort Bragg Post Stockade. Chapter 7 brings Tom Homeward Bound, and Chapter 8 tells of Life after Olive Drab. The author illustrates how humorous life in Olive Drab can be, while describing many serious aspects of Military Police duty.
Hot cracking in welds still has not been fully understood. Hot Cracking Phenomena in Welds contains 20 individual contributions from experts all over the world. The book provides the latest insight on hot cracking phenomena in welds and gives a comprehensive overview of the state of knowledge in this subject, addressing engineers and scientists in research and development. It contains numerous solutions and helpful guidance on specific problems, particularly for welding engineers confronted with hot cracking in practice. The book touches all three types of hot cracking, namely solidification cracking, liquation cracking and ductility dip cracking. It explains the differences of the mechanisms,thus representing also a very helpful tool for metallurgists and advanced engineering students. TOC:Phenomena and Mechanisms.- Metallurgy and Materials.- Modelling and Simulation.- Testing and Standardisation.
The Textbook of Influenza is a comprehensive resource covering all aspects of influenza, from the genetic and molecular biology of the virus through to clinical aspects of the disease and the latest drug developments and treatments. This new edition has been completely revised and reflects the integration of disciplines concerning the emergence, evolution, pathogenesis and control of influenza viruses in the field of human and veterinary public health. Textbook of Influenza examines the lessons learnt from the latest pandemic and provides the current state of knowledge for many yet unresolved issues related to virus origin, spread, pathogenesis and disease severity to better prepare for future pandemics. It covers the background to recent advances in influenza genomics and reverse genetics which have allowed the identification of virus virulence factors and the analysis and reconstruction of influenza viruses such as the 1918 Spanish flu strain. This new edition is divided into eight key sections, containing chapters co-written by international experts from both the clinical and scientific communities, covering: • Influenza Perspectives • Structure and Replication • Evolution and Ecology • Epidemiology and Surveillance • Immunology • Vaccines and Vaccine Development • Clinical Aspects and Antivirals • Public Health Textbook of Influenza is for all those working in the area of influenza including clinical and basic scientists, immunologists, molecular and structural virologists, public health officials and global pandemic control planners.
The first instances of deformation theory were given by Kodaira and Spencer for complex structures and by Gerstenhaber for associative algebras. Since then, deformation theory has been applied as a useful tool in the study of many other mathematical structures, and even today it plays an important role in many developments of modern mathematics. This volume collects a few self-contained and peer-reviewed papers by experts which present up-to-date research topics in algebraic and motivic topology, quantum field theory, algebraic geometry, noncommutative geometry and the deformation theory of Poisson algebras. They originate from activities at the Max-Planck-Institute for Mathematics and the Hausdorff Center for Mathematics in Bonn.
This will help us customize your experience to showcase the most relevant content to your age group
Please select from below
Login
Not registered?
Sign up
Already registered?
Success – Your message will goes here
We'd love to hear from you!
Thank you for visiting our website. Would you like to provide feedback on how we could improve your experience?
This site does not use any third party cookies with one exception — it uses cookies from Google to deliver its services and to analyze traffic.Learn More.