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A substantial body of musical literature for solo and ensemble percussion was created in the twentieth century. This text examines percussion literature's evolution: how it came to be and the styles that composers embraced as they produced a large body of music for percussion instruments alone.

Percussion ensembles --- Percussion music --- History and criticism.

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Ordered sets are ubiquitous in mathematics and have significant applications in computer science, statistics, biology and the social sciences. As the first book to deal exclusively with finite ordered sets, this book will be welcomed by graduate students and researchers in all of these areas. Beginning with definitions of key concepts and fundamental results (Dilworth's and Sperner's theorem, interval and semiorders, Galois connection, duality with distributive lattices, coding and dimension theory), the authors then present applications of these structures in fields such as preference modelling and aggregation, operational research and management, cluster and concept analysis, and data mining. Exercises are included at the end of each chapter with helpful hints provided for some of the most difficult examples. The authors also point to further topics of ongoing research.

Ordered sets --- Finite groups --- Ensembles ordonnés --- Groupes finis --- Finite groups. --- Ordered sets. --- Mathematics --- Discrete Mathematics. --- Ensembles ordonnés --- Groups, Finite --- Group theory --- Modules (Algebra) --- Sets, Ordered --- Set theory

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Provability, Computability and Reflection

Set theory. --- Descriptive set theory. --- Set theory --- Aggregates --- Classes (Mathematics) --- Ensembles (Mathematics) --- Mathematical sets --- Sets (Mathematics) --- Theory of sets --- Logic, Symbolic and mathematical --- Mathematics --- Descriptive set theory --- Théorie des ensembles. --- Théorie des ensembles --- Théorie descriptive des ensembles --- ELSEVIER-B EPUB-LIV-FT

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Orders: Description and Roles

Discrete mathematics --- Ordered sets --- Ensembles ordonnés. --- Congresses --- Algebra --- Sets, Ordered --- Set theory --- Ordered sets - Congresses

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Dieses Buch ist der erste Versuch, systematisch Grundlagen für die Planung von Wohnungsbauten zu schaffen, die nach einer Umfrage des IGMA - Institut für Grundlagen der modernen Architektur an der Universität Stuttgart - an der Spitze aller von Architekturbüros durchgeführten Bauaufgaben stehen. Im Einleitungsteil untersuchen die Verfasser die Bedürfnisse bestimmter Familientypen. Aus einer Analyse der Tätigkeiten einer Familie während eines Tagesablaufes werden systematisch Grundrißtypen abgeleitet und in ihren Vor- und Nachteilen bewertet. Dabei spielt das Kriterium der Variabilität der Bauelemente und der Flexibilität der Nutzung eine zentrale Rolle. Weiterhin werden Gebäudetypen dargestellt und miteinander verglichen sowie Aussagen gemacht über das zentrale Thema Gedäudetyp - Wohnwert - Kosten. Der Bildteil enthält für jeden im Einleitungsteil analysierten Grundrißtyp Beispiele von Architekten aus aller Welt.

Grands ensembles --- Immeubles d'habitation --- Typologie (architecture) --- Architecture domestique --- Dessins et plans --- architectuur --- wonen --- woningen --- ontwerp --- Private houses --- anno 1900-1999 --- Architecture --- Habitat --- Grands ensembles. --- Immeubles d'habitation. --- Dessins et plans.