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1. |
Record Nr. |
UNISA996466485303316 |
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Autore |
Favre Charles |
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Titolo |
The Valuative Tree [[electronic resource] /] / by Charles Favre, Mattias Jonsson |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2004 |
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ISBN |
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Edizione |
[1st ed. 2004.] |
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Descrizione fisica |
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1 online resource (XVI, 244 p.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 1853 |
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Disciplina |
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Soggetti |
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Discrete mathematics |
Algebraic geometry |
Commutative algebra |
Commutative rings |
Topology |
Discrete Mathematics |
Algebraic Geometry |
Commutative Rings and Algebras |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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1 Generalities -- 1.1 Setup -- 1.2 Valuations -- 1.3 Krull Valuations -- 1.4 Plane Curves -- 1.5 Examples of Valuations -- 1.6 Valuations Versus Krull Valuations -- 1.7 Sequences of Blowups and Krull Valuations -- 2 MacLane’s Method -- 2.1 Sequences of Key Polynomials -- 2.2 Classification -- 2.3 Graded Rings and Numerical Invariants -- 2.4 From Valuations to SKP’s -- 2.5 A Computation -- 3 Tree Structures -- 3.1 Trees -- 3.2 Nonmetric Tree Structure on V -- 3.3 Parameterization of V by Skewness -- 3.4 Multiplicities -- 3.5 Approximating Sequences -- 3.6 Thinness -- 3.7 Value Semigroups and Approximating Sequences -- 3.8 Balls of Curves -- 3.9 The Relative Tree Structure -- 4 Valuations Through Puiseux Series -- 4.1 Puiseux Series and Valuations -- 4.2 Tree Structure -- 4.3 Galois Action -- 4.4 A Tale of Two Trees -- 4.5 The Berkovich Projective Line -- 4.6 The Bruhat-Tits Metric -- 4.7 Dictionary -- 5 Topologies -- 5.1 |
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The Weak Topology -- 5.2 The Strong Topology on V -- 5.3 The Strong Topology on Vqm -- 5.4 Thin Topologies -- 5.5 The Zariski Topology -- 5.6 The Hausdorff-Zariski Topology -- 5.7 Comparison of Topologies -- 6 The Universal Dual Graph -- 6.1 Nonmetric Tree Structure -- 6.2 Infinitely Near Points -- 6.3 Parameterization and Multiplicity -- 6.4 The Isomorphism -- 6.5 Proof of the Isomorphism -- 6.6 Applications -- 6.7 The Dual Graph of the Minimal Desingularization -- 6.8 The Relative Tree Structure -- 7 Tree Measures -- 7.1 Outline -- 7.2 More on the Weak Topology -- 7.3 Borel Measures -- 7.4 Functions of Bounded Variation -- 7.5 Representation Theorem I -- 7.6 Complex Tree Potentials -- 7.7 Representation Theorem II -- 7.8 Atomic Measures -- 7.9 Positive Tree Potentials -- 7.10 Weak Topologies and Compactness -- 7.11 Restrictions to Subtrees -- 7.12 Inner Products -- 8 Applications of the Tree Analysis -- 8.1 Zariski’s Theory of Complete Ideals -- 8.2 The Voûte étoilée -- A Infinitely Singular Valuations -- A.1 Characterizations -- A.2 Constructions -- B The Tangent Space at a Divisorial Valuation -- C Classification -- D Combinatorics of Plane Curve Singularities -- D.1 Zariski’s Terminology for Plane Curve Singularities -- D.2 The Eggers Tree -- E.1 Completeness -- E.2 The Residue Field -- References. |
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Sommario/riassunto |
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This volume is devoted to a beautiful object, called the valuative tree and designed as a powerful tool for the study of singularities in two complex dimensions. Its intricate yet manageable structure can be analyzed by both algebraic and geometric means. Many types of singularities, including those of curves, ideals, and plurisubharmonic functions, can be encoded in terms of positive measures on the valuative tree. The construction of these measures uses a natural tree Laplace operator of independent interest. |
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2. |
Record Nr. |
UNIORUON00305898 |
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Titolo |
Political corruption : concepts & contexts / editors Arnold J. Heidenheimer, Michael Johnston |
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Pubbl/distr/stampa |
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New Brunswick ; London, : Transaction Publishers, c2002 (ristampa 2008) |
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ISBN |
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Edizione |
[Third Edition] |
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Descrizione fisica |
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Soggetti |
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Corruzione politica - Studi |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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3. |
Record Nr. |
UNINA9910869160103321 |
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Autore |
McFerran Katrina <1972-> |
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Titolo |
The Psychology of Music Listening for Health and Wellbeing Professionals / / by Katrina Skewes McFerran, Carol Barbara Lotter |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Palgrave Macmillan, , 2024 |
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ISBN |
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Edizione |
[1st ed. 2024.] |
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Descrizione fisica |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Psychotherapy |
Social service |
Well-being |
Cognitive psychology |
Popular culture |
Social Work |
Well-Being |
Cognitive Psychology |
Popular Culture |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Chapter 1 What is Music (Listening)? -- Chapter 2 Music, Youth and Identity -- Chapter 3 The Health Benefits of Music Listening -- Chapter 4 Problematic Music Listening -- Chapter 5 Sharing Music and Emotions in Therapy -- Chapter 6 Music Listening and Self Care -- Chapter 7 Music Listening and Conflict in Groups. |
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Sommario/riassunto |
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This book comprehensively reviews wide-ranging research describing the uses of music listening for health and wellbeing outcomes. Drawing on the work of diverse professionals from around the globe, the authors provide engaging illustrations of using music with people in practice, combined with recommendations from their many years of applied practice in hospitals, schools, community organisations, and universities as music therapists, researchers and educators. Knowledge has been gathered into accessible chapters so that professionals can identify their own area of interest and go directly to it. This includes music listening for flourishing during difficult times, during life transitions, for stress in everyday life, problematic music listening, music listening for mental ill health and trauma, in acute hospital settings, for neurocognitive impairment, in rehabilitation and special education, for optimising performance, and in groups. A book for professionals who want to be informed by the latest research and expertise when using music listening in their work. Katrina McFerran is Professor and Head of Creative Arts Therapy at The University of Melbourne, Australia. She is a world-renowned author and researcher whose publications always engage the intended readership through a combination of story, research and theory. She is a highly sought after speaker on music and wellbeing. Carol Lotter is the Arts Therapies Coordinator and Co-Director of the Music Therapy programme at the University of Pretoria, Australia. Her teaching focus is clinical studies, and her primary research interest is adult mental health. She has extensive experience as a music therapy clinician, supervisor and trainer in arts-based music-centred techniques. . |
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