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Homology is a powerful tool used by mathematicians to study the properties of spaces and maps that are insensitive to small perturbations. This book uses a computer to develop a combinatorial computational approach to the subject. The core of the book deals with homology theory and its computation. Following this is a section containing extensions to further developments in algebraic topology, applications to computational dynamics, and applications to image processing. Included are exercises and software that can be used to compute homology groups and maps. The book will appeal to researchers and graduate students in mathematics, computer science, engineering, and nonlinear dynamics.
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Drawing on rich source material in several languages and three scripts (Arabic, Cyrillic, and Latin), this book presents a broad picture of international relations in early modern Eastern Europe, at the crossing point of Genghisid, Islamic, Orthodox, and Latin traditions.
The overwhelming majority of historical work on the late Habsburg Monarchy has focused primarily on national movements and ethnic conflicts, with the result that too little attention has been devoted to the state and ruling dynasty. This volume is the first of its kind to concentrate on attempts by the imperial government to generate a dynastic-oriented state patriotism in the multinational Habsburg Monarchy. It examines those forces in state and society which tended toward the promotion of state unity and loyalty towards the ruling house. These essays, all original contributions and written by an international group of historians, provide a critical examination of the phenomenon of “dynastic patriotism” and offer a richly nuanced treatment of the multinational empire in its final phase.
The chapters in this edited volume explore the sociolinguistic implications of orthographic and scriptural practices in a diverse range of communicative contexts, ranging from schoolrooms to internet discussion boards. The focus is on the way that scriptural practices both index and constitute social hierarchies, identities and relationships and in some cases, become the focus for public language ideological debates. Capitalizing on the now robust body of literature on orthographic choice and debate in sociolinguistics and anthropological linguistics, the volume addresses a number of cross-cutting themes that connect orthographic practices to areas of contemporary interest in sociolinguistic...