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One of the important areas of contemporary combinatorics is Ramsey theory. Ramsey theory is basically the study of structure preserved under partitions. The general philosophy is reflected by its interdisciplinary character. The ideas of Ramsey theory are shared by logicians, set theorists and combinatorists, and have been successfully applied in other branches of mathematics. The whole subject is quickly developing and has some new and unexpected applications in areas as remote as functional analysis and theoretical computer science. This book is a homogeneous collection of research and survey articles by leading specialists. It surveys recent activity in this diverse subject and brings the reader up to the boundary of present knowledge. It covers virtually all main approaches to the subject and suggests various problems for individual research.
The story of the Museum of the Second World War in Gdańsk epitomizes one of the most important and dramatic clashes in the European culture of memory and public history in last decades. The museum became the arch-enemy for the nationalist right-wing as “cosmopolitan”, “pseudo-universalistic”, “pacifistic” and “not Polish enough”. Paweł Machcewicz, historian and museum`s founding director, was removed from his position by the Law and Justice government immediately after opening the museum to the public. In his book he presents this story as a part of cultural wars that tear apart not only Poland but also many countries in Europe and on other continents.
This handbook with exercises reveals in formalisms, hitherto mainly used for hardware and software design and verification, unexpected mathematical beauty. The lambda calculus forms a prototype universal programming language, which in its untyped version is related to Lisp, and was treated in the first author's classic The Lambda Calculus (1984). The formalism has since been extended with types and used in functional programming (Haskell, Clean) and proof assistants (Coq, Isabelle, HOL), used in designing and verifying IT products and mathematical proofs. In this book, the authors focus on three classes of typing for lambda terms: simple types, recursive types and intersection types. It is in these three formalisms of terms and types that the unexpected mathematical beauty is revealed. The treatment is authoritative and comprehensive, complemented by an exhaustive bibliography, and numerous exercises are provided to deepen the readers' understanding and increase their confidence using types.
No Indigenous Australian content.
This text presents an examination of Murasaki Shikibu's 11th-century classic The Tale of Genji. The author explores the role of possessing spirits from a female viewpoint, and considers how the male protagonist is central to determining the role of these spirits.
In this seminal contribution to the sociology of knowledge, first published in 1940, Florian Znaniecki develops a typology of the variety of specific social roles that scholars have played, and investigates the normative patterns that govern their behavior. A central tool for the investigation of these problems is the notion of “social circle”, the audience to which intellectuals address themselves. Znaniecki shows that thinkers do not speak to the total society but address selected segments and markets. Specific social circles bestow recognition, provide material or psychic support, and help shape the self-image of the thinker.