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Algebraic geometry --- Congruence lattices --- Treillis de congruences --- Congruence lattices. --- 51 <082.1> --- Mathematics--Series --- Lattice theory

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Improving learning and teaching at schools or universities may start with choosing evidence-based interventions and practices, but does not end there. To ensure sustainable changes to programs in educational practice, interventions need to address complex issues related to theories, research designs, and measurements. This book presents typical but often overlooked problems in intervention research in educational practice. These problems are embedded in various educational areas such as, amongst others, school effectiveness, instructional design or motivational aspects of teacher trainings.

education --- educational interventions --- self-congruence intervention --- teacher --- volitional competences --- motive implementation --- learning skills --- developmental measurement approaches --- self-assessment --- reflective writing --- Empirische Bildungsforschung

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The congruences of a lattice form the congruence lattice. In the past half-century, the study of congruence lattices has become a large and important field with a great number of interesting and deep results and many open problems. This self-contained exposition by one of the leading experts in lattice theory, George Grätzer, presents the major results on congruence lattices of finite lattices featuring the author's signature "Proof-by-Picture" method and its conversion to transparencies. Key features: * Includes the latest findings from a pioneering researcher in the field * Insightful discussion of techniques to construct "nice" finite lattices with given congruence lattices and "nice" congruence-preserving extensions * Contains complete proofs, an extensive bibliography and index, and nearly 80 open problems * Additional information provided by the author online at: http://www.maths.umanitoba.ca/homepages/gratzer.html/ The book is appropriate for a one-semester graduate course in lattice theory, yet is also designed as a practical reference for researchers studying lattices.

Congruence lattices. --- Lattice theory. --- Lattices (Mathematics) --- Space lattice (Mathematics) --- Structural analysis (Mathematics) --- Algebra, Abstract --- Algebra, Boolean --- Group theory --- Set theory --- Topology --- Transformations (Mathematics) --- Crystallography, Mathematical --- Lattice theory --- Algebra. --- Logic, Symbolic and mathematical. --- Distribution (Probability theory. --- Number theory. --- Order, Lattices, Ordered Algebraic Structures. --- Mathematical Logic and Foundations. --- Probability Theory and Stochastic Processes. --- Number Theory. --- Number study --- Numbers, Theory of --- Algebra --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Metamathematics --- Syllogism --- Mathematical analysis --- Ordered algebraic structures. --- Mathematical logic. --- Probabilities. --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Algebraic structures, Ordered --- Structures, Ordered algebraic --- Treillis, Théorie des --- Ordres (mathematiques) --- Treillis

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There are over a million jazz recordings, but only a few hundred tunes have been recorded repeatedly. Why did a minority of songs become jazz standards? Why do some songs--and not others--get rerecorded by many musicians? Shaping Jazz answers this question and more, exploring the underappreciated yet crucial roles played by initial production and markets--in particular, organizations and geography--in the development of early twentieth-century jazz. Damon Phillips considers why places like New York played more important roles as engines of diffusion than as the sources of standards. He demonstrates why and when certain geographical references in tune and group titles were considered more desirable. He also explains why a place like Berlin, which produced jazz abundantly from the 1920's to early 1930's, is now on jazz's historical sidelines. Phillips shows the key influences of firms in the recording industry, including how record companies and their executives affected what music was recorded, and why major companies would rerelease recordings under artistic pseudonyms. He indicates how a recording's appeal was related to the narrative around its creation, and how the identities of its firm and musicians influenced the tune's long-run popularity. Applying fascinating ideas about market emergence to a music's commercialization, Shaping Jazz offers a unique look at the origins of a groundbreaking art form.

Jazz --- Accordion and piano music (Jazz) --- Clarinet and piano music (Jazz) --- Cornet and piano music (Jazz) --- Double bass and piano music (Jazz) --- Jazz duets --- Jazz ensembles --- Jazz music --- Jazz nonets --- Jazz octets --- Jazz quartets --- Jazz quintets --- Jazz septets --- Jazz sextets --- Jazz trios --- Jive (Music) --- Saxophone and piano music (Jazz) --- Vibraphone and piano music (Jazz) --- Wind instrument and piano music (Jazz) --- Xylophone and piano music (Jazz) --- African Americans --- Music --- Third stream (Music) --- Washboard band music --- Social aspects --- History and criticism --- E-books --- History and criticism. --- Social aspects. --- African Americans. --- Berlin. --- German jazz. --- Milenburg Joys. --- New York. --- Victorian-era firms. --- Weimar Germany. --- adoption narratives. --- anti-jazz sentiments. --- authenticity. --- black musicians. --- bottled water. --- consumers. --- critics. --- cultural elites. --- cultural markets. --- cultural objects. --- cultural products. --- diffusion. --- discographical canon. --- disconnected cities. --- disconnectedness. --- geographic mobility. --- geography. --- green technology. --- identity sequences. --- identity threats. --- identity. --- incumbents. --- jazz music. --- jazz recordings. --- jazz standards. --- jazz. --- legitimacy. --- markets. --- mobility networks. --- musicians. --- nanotechnology. --- organizational role identities. --- product appeal. --- production. --- pseudonyms. --- race. --- re-recording. --- reception. --- record company deception. --- record company. --- record labels. --- recording industry. --- recording location. --- social congruence. --- social systems. --- sociological congruence. --- software.

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In 1970, Phillip Griffiths envisioned that points at infinity could be added to the classifying space D of polarized Hodge structures. In this book, Kazuya Kato and Sampei Usui realize this dream by creating a logarithmic Hodge theory. They use the logarithmic structures begun by Fontaine-Illusie to revive nilpotent orbits as a logarithmic Hodge structure. The book focuses on two principal topics. First, Kato and Usui construct the fine moduli space of polarized logarithmic Hodge structures with additional structures. Even for a Hermitian symmetric domain D, the present theory is a refinement of the toroidal compactifications by Mumford et al. For general D, fine moduli spaces may have slits caused by Griffiths transversality at the boundary and be no longer locally compact. Second, Kato and Usui construct eight enlargements of D and describe their relations by a fundamental diagram, where four of these enlargements live in the Hodge theoretic area and the other four live in the algebra-group theoretic area. These two areas are connected by a continuous map given by the SL(2)-orbit theorem of Cattani-Kaplan-Schmid. This diagram is used for the construction in the first topic.

Hodge theory. --- Logarithms. --- Logs (Logarithms) --- Algebra --- Complex manifolds --- Differentiable manifolds --- Geometry, Algebraic --- Homology theory --- Algebraic group. --- Algebraic variety. --- Analytic manifold. --- Analytic space. --- Annulus (mathematics). --- Arithmetic group. --- Atlas (topology). --- Canonical map. --- Classifying space. --- Coefficient. --- Cohomology. --- Compactification (mathematics). --- Complex manifold. --- Complex number. --- Congruence subgroup. --- Conjecture. --- Connected component (graph theory). --- Continuous function. --- Convex cone. --- Degeneracy (mathematics). --- Diagram (category theory). --- Differential form. --- Direct image functor. --- Divisor. --- Elliptic curve. --- Equivalence class. --- Existential quantification. --- Finite set. --- Functor. --- Geometry. --- Hodge structure. --- Homeomorphism. --- Homomorphism. --- Inverse function. --- Iwasawa decomposition. --- Local homeomorphism. --- Local ring. --- Local system. --- Logarithmic. --- Maximal compact subgroup. --- Modular curve. --- Modular form. --- Moduli space. --- Monodromy. --- Monoid. --- Morphism. --- Natural number. --- Nilpotent orbit. --- Nilpotent. --- Open problem. --- Open set. --- P-adic Hodge theory. --- P-adic number. --- Point at infinity. --- Proper morphism. --- Pullback (category theory). --- Quotient space (topology). --- Rational number. --- Relative interior. --- Ring (mathematics). --- Ring homomorphism. --- Scientific notation. --- Set (mathematics). --- Sheaf (mathematics). --- Smooth morphism. --- Special case. --- Strong topology. --- Subgroup. --- Subobject. --- Subset. --- Surjective function. --- Tangent bundle. --- Taylor series. --- Theorem. --- Topological space. --- Topology. --- Transversality (mathematics). --- Two-dimensional space. --- Vector bundle. --- Vector space. --- Weak topology.