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1. |
Record Nr. |
UNISA996466413203316 |
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Autore |
Artés Joan C. <1961-> |
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Titolo |
Geometric configurations of singularities of planar polynomial differential systems : a global classification in the quadratic case / / Joan C. Artés [et al.] |
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Pubbl/distr/stampa |
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Cham, Switzerland : , : Birkhäuser, , [2021] |
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©2021 |
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ISBN |
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Descrizione fisica |
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1 online resource (xii, 699 pages) |
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Disciplina |
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Soggetti |
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Singularities (Mathematics) |
Polynomials |
Differential equations |
Singularitats (Matemàtica) |
Polinomis |
Equacions diferencials |
Llibres electrònics |
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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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Part I Polynomial differential systems with emphasis on the quadratic ones 1 Introduction 2 Survey of results on quadratic differential systems 3 Singularities of polynomial differential systems 4 Invariants in mathematical classification problems 5 Invariant theory of planar polynomial vector fields 6 Main results on classifications of singularities in QS 7 Classifications of quadratic systems with special singularities Part II 8 QS with finite singularities of total multiplicity at most one 9 QS with finite singularities of total multiplicity two 10 QS with finite singularities of total multiplicity three 11 QS with finite singularities of total multiplicity four 12 Degenerate quadratic systems 13 Conclusions |
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Sommario/riassunto |
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This book addresses the global study of finite and infinite singularities of planar polynomial differential systems, with special emphasis on quadratic systems. While results covering the degenerate cases of singularities of quadratic systems have been published elsewhere, the proofs for the remaining harder cases were lengthier. This book covers |
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all cases, with half of the content focusing on the last non-degenerate ones. The book contains the complete bifurcation diagram, in the 12-parameter space, of global geometrical configurations of singularities of quadratic systems. The authors' results provide - for the first time - global information on all singularities of quadratic systems in invariant form and their bifurcations. In addition, a link to a very helpful software package is included. With the help of this software, the study of the algebraic bifurcations becomes much more efficient and less time-consuming. Given its scope, the book will appeal to specialists on polynomial differential systems, pure and applied mathematicians who need to study bifurcation diagrams of families of such systems, Ph. D. students, and postdoctoral fellows. |
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2. |
Record Nr. |
UNINA9910254668903321 |
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Titolo |
Business Intelligence : 5th European Summer School, eBISS 2015, Barcelona, Spain, July 5-10, 2015, Tutorial Lectures / / edited by Esteban Zimányi, Alberto Abelló |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
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ISBN |
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Edizione |
[1st ed. 2016.] |
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Descrizione fisica |
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1 online resource (IX, 131 p. 37 illus.) |
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Collana |
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Lecture Notes in Business Information Processing, , 1865-1356 ; ; 253 |
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Disciplina |
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Soggetti |
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Information storage and retrieval systems |
Quantitative research |
Electronic digital computers - Evaluation |
Artificial intelligence |
Information technology - Management |
Data mining |
Information Storage and Retrieval |
Data Analysis and Big Data |
System Performance and Evaluation |
Artificial Intelligence |
Computer Application in Administrative Data Processing |
Data Mining and Knowledge Discovery |
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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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Nota di contenuto |
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Schema Evolution for Databases and Data Warehouses -- Publishing OLAP Cubes on the Semantic Web -- Design Issues in Social Business Intelligence Projects -- Context-Aware Business Intelligence -- Key Performance Indicators in Data Warehouses -- Author Index. |
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Sommario/riassunto |
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This book constitutes the tutorial lectures of the 5th European Business Intelligence Summer School, eBISS 2015, held in Barcelona, Spain, in July 2015. The tutorials presented here in an extended and refined format were given by renowned experts and cover topics including schema evolution for databases and data warehouses, publishing OLAP cubes on the Semantic Web, design issues in social business intelligence projects, context-aware business intelligence, and key performance indicators in data warehouses. |
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