In this work we consider the problem of determining information about representations as the rank grows large, in fact, tends to infinity. Here we show that the set of dominant weights stabilizes as the rank goes to infinity and the multiplicities become polynomials in the rank. In addition, we give effective, easily computable algorithms for determining the set of dominant weights and illustrate how to calculate their multiplicity polynomials.
The papers in this volume take several forms, from strict chronologies to detailed historical analyses. Topics covered include: towards the history of pre-Linnean carcinology in Brazil; the beginning of Portugese carcinology; from Oviedo to Rathbun; the development of brachturan crab tascononry in the Neotropics (1535-1937); studies on decapod crustaceans of the Pacific Coast of the United States and Canada; women's contributions to carcinology; reflections on crab research in North America since 1758; carcinology in classical Japanese work.
Simulation and modeling using numerical methods is one of the key instruments in any scientific work. In the field of photonics, a wide range of numerical methods are used for studying both fundamental optics and applications such as design, development, and optimization of photonic components. Modeling is key for developing improved photonic devices and reducing development time and cost. Choosing the appropriate computational method for a photonics modeling problem requires a clear understanding of the pros and cons of the available numerical methods. Numerical Methods in Photonics presents six of the most frequently used methods: FDTD, FDFD, 1+1D nonlinear propagation, modal method, Green’s function, and FEM. After an introductory chapter outlining the basics of Maxwell’s equations, the book includes self-contained chapters that focus on each of the methods. Each method is accompanied by a review of the mathematical principles in which it is based, along with sample scripts, illustrative examples of characteristic problem solving, and exercises. MATLAB® is used throughout the text. This book provides a solid basis to practice writing your own codes. The theoretical formulation is complemented by sets of exercises, which allow you to grasp the essence of the modeling tools.
The number of nonreligious people has increased dramatically over the past several decades, yet scholarship on the nonreligious is severely lacking. In response to this critical gap in knowledge, The Nonreligious provides a comprehensive summation and analysis of existing social scientific research on secular people and societies. The authors present a thorough overview of existing knowledge while also drawing upon ongoing research and suggesting ways to improve our understanding of this growing population. Offering a research- and data-based examination of the nonreligious, this book will be an invaluable source of information and a foundation for further scholarship. Written in clear, accessible language that will appeal to students and the increasingly interested general reader, The Nonreligious provides an unbiased and thorough account of relevant existing scholarship within the social sciences that bears on lived experiences of the nonreligious.
This book is a volume in the Penn Press Anniversary Collection. To mark its 125th anniversary in 2015, the University of Pennsylvania Press rereleased more than 1,100 titles from Penn Press's distinguished backlist from 1899-1999 that had fallen out of print. Spanning an entire century, the Anniversary Collection offers peer-reviewed scholarship in a wide range of subject areas.
This comprehensive study of Rome’s contribution to the early history of photography traces the medium’s rise from a fledgling science to a dynamic form of artistic expression that forever changed the way we perceive the Eternal City. The authors examine the diverse transnational group of photographers who thrived in the cosmopolitan art center of Rome—and the pivotal role they played in the refinement and technical development of the nascent medium in the nineteenth century. The book ranges from the earliest pioneers—the French daguerreotypist Joseph-Philibert Girault de Prangey and the Welsh calotypist Calvert Richard Jones—to the work of the Roman School of Photography and its successors, among them James Anderson and Robert Macpherson of Britain; Frédéric Flachéron, Firmin Eugène Le Dien, and Gustave Le Gray of France; and Giacomo Caneva, Adriano de Bonis, and Pietro Dovizielli of Italy. Lavishly illustrated with 112 plates, many never before published, by nearly fifty practitioners, this volume expands our understanding of the place of Rome in early photography. An exhibition of the same title, to open at the Bowdoin College Museum of Art in December 2022, accompanies this study.
As the Proceedings of the 1984 Canadian Mathematical Society's Summer Seminar, this book focuses on some advances in the theory of semisimple Lie algebras and some direct outgrowths of that theory. The following papers are of particular interest: an important survey article by R. Block and R. Wilson on restricted simple Lie algebras, a survey of universal enveloping algebras of semisimple Lie algebras by W. Borho, a course on Kac-Moody Lie algebras by I. G. Macdonald with an extensive bibliography of this field by Georgia Benkart, and a course on formal groups by M. Hazewinkel. Because of the expository surveys and courses, the book will be especially useful to graduate students in Lie theory, as well as to researchers in the field.
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