Advances in applied mathematics, modeling, and computational science / / Roderick Melnik, Ilias Kotsireas, editors |
Edizione | [1st ed.] |
Pubbl/distr/stampa | New York, : Fields Institute for Research in the Mathematical Sciences, : Springer, 2013 |
Descrizione fisica | 1 online resource (247 p.) |
Disciplina | 510 |
Altri autori (Persone) |
MelnikRoderick
KotsireasIlias |
Collana | Fields Institute communications |
Soggetto topico |
Mathematics
Computer simulation Mathematical models Computer science Computer science - Mathematics |
ISBN |
1-283-90974-X
1-4614-5389-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Advances in Applied Mathematics, Modeling, and Computational Science; Preface; Contents; Interconnected Challenges and New Perspectives in Applied Mathematical and Computational Sciences; 1 Mathematical Models and Algorithms; 2 Mathematical Modeling and Computational Experiments; 3 What Is Next; 4 What This Book Is About; 5 Concluding Remarks; References; Dynamic Blocking Problems for a Model of Fire Propagation; 1 Introduction; 1.1 A Model for Fire Propagation; 1.2 Barriers; 1.3 Blocking and Optimization Problems; 2 An Equivalent Formulation; 3 Existence of Blocking Strategies
3.1 The Isotropic Case3.2 The Non-isotropic Case; 4 Existence of Optimal Strategies; 5 Necessary Conditions for Optimality; 5.1 Free Arcs; 5.2 A Single Boundary Arc; 5.3 Several Boundary Arcs Constructed Simultaneously; 5.4 Necessary Conditions at Junctions; 6 Sufficient Conditions for Optimality; 7 Numerical Computation of Optimal Barriers; 8 Open Problems; 8.1 Isotropic Blocking Problem; 8.2 Existence of Optimal Strategies; 8.3 Sufficient Conditions for Optimality; 8.4 Regularity; References Inverse Lax-Wendroff Procedure for Numerical Boundary Conditions of Hyperbolic Equations: Survey and New Developments1 Introduction; 2 Interior Finite Difference Schemes; 3 1D Scalar Conservation Laws; 3.1 Robust and High Order Extrapolation for Outflow Boundary Conditions; 3.2 The ILW Procedure for Inflow Boundary Conditions; 3.3 Computational Results; 4 2D Euler Equations in Static Geometries; 4.1 General Framework; 4.2 No-Penetration Boundary Condition; 4.3 Algorithm Flow Chart; 4.4 Computational Results; 5 2D Euler Equations in Moving Geometries; 6 Concluding Remarks; References Elliptic Curves over Finite Fields: Number Theoretic and Cryptographic Aspects1 Introduction; 1.1 Motivation; 1.2 Arranging a Group Structure on Elliptic Curves; 1.3 General Notation; 1.4 Basic Facts on Elliptic Curves; 2 Structure of Elliptic Curves over Finite Fields; 2.1 Isogeny and Isomorphism Classes in Various Families; 2.2 Finding the Group Structure; 2.3 Groups Represented by Elliptic Curves; 2.4 Exponent; 2.5 Prime Cardinalities; 2.6 Smooth and Easily Factorable Cardinalities; 2.7 Endomorphism Rings; 2.8 Ranks; 3 Cryptographic Applications of Elliptic Curves over Finite Fields 3.1 Embedding Degree3.2 Pairing-Friendly Curves; 3.3 Elliptic Twins; 3.4 Pseudorandom Number Generators and Hash Functions; 4 Concluding Remarks; References; Random Matrix Theory and Its Innovative Applications; 1 Random Matrix Theory in the Press; 2 Famous Laws in RMT with MATLAB Experiments; 2.1 The Most Famous Semi-circle Law; 2.2 Marcenko-Pastur Law (Special Case: Quarter Circle Law); 2.3 Circular Law; 2.4 Tracy-Widom Distribution (Law); 3 Random Matrix Factorization; 3.1 The Chi-Distribution and Orthogonal Invariance; 3.2 The QR Decomposition of randn(n) 3.2.1 Haar Measure on Orthogonal Matrices |
Record Nr. | UNINA-9910438142403321 |
New York, : Fields Institute for Research in the Mathematical Sciences, : Springer, 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Coupled Mathematical Models for Physical and Biological Nanoscale Systems and Their Applications : Banff International Research Station, Banff, Canada, 28 August - 2 September 2016 / / edited by Luis L. Bonilla, Efthimios Kaxiras, Roderick Melnik |
Edizione | [1st ed. 2018.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
Descrizione fisica | 1 online resource (X, 314 p. 100 illus., 68 illus. in color.) |
Disciplina | 519 |
Collana | Springer Proceedings in Mathematics & Statistics |
Soggetto topico |
Mathematical physics
Computer mathematics Statistical physics Biomathematics Mathematical Applications in the Physical Sciences Computational Science and Engineering Statistical Physics and Dynamical Systems Physiological, Cellular and Medical Topics |
ISBN | 3-319-76599-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface -- Part A. Charge and Spin Transport in Low-Dimensional Structures: Nonlinear Quantum Mechanics: Björn Birnir -- Chaotic Current Self-Oscillations in Doped, Weakly Coupled Semiconductor Superlattices for True Random Number Generation: Yaohui Zhang et al -- Transport out of Locally Broken Detailed Balance: Rafael Sánchez -- Non-Perturbative Approaches in Nanoscience and Corrections to Finite-Size Scaling: J. Kaupuzs et a -- Continuum Model for Coupled Acousto-Optical Phonons in Piezoelectric Materials: Morten Willatzen et al -- Part B. Modeling Biological Phenomena from Nano to Macro Scales: Stochastic Models of Tumor Induced Angiogenesis: L.L. Bonilla et al -- Biofilm Mechanics and Patterns: A. Carpio et al -- Modelling the Unfolding Pathway of Biomolecules: Theoretical Approach and Experimental Prospect: Carlos A. Plata et al -- The Geometry of Most Probable Trajectories in Noise-Driven Dynamical Systems: John C. Neu et al -- Part C. Mathematics for 2D Materials and Properties of Confined Nanostructures: Classical Density-Functional Theory Studies of Fluid Adsorption on Nanopatterned Planar Surfaces: Peter Yatsyshin et al -- Modeling Metastability in CdTe Solar Cells Due to Cu Migration: Da Guo et al -- A Multiscale Molecular Dynamics and Coupling with Nonlinear Finite Element Method: S. Urata et al -- Modeling Electronic Properties of Twisted 2D Atomic Heterostructures: Stephen Carr et al -- Molecular Dynamics and Related Computational Methods with Applications to Drug Discovery: Jordane Preto et al -- Macroscopic Models for the Bioelectronic Interface of Engineered Artificial Membranes: William Hoiles et al. |
Record Nr. | UNINA-9910300101303321 |
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Mathematical and Computational Approaches in Advancing Modern Science and Engineering / / edited by Jacques Bélair, Ian A. Frigaard, Herb Kunze, Roman Makarov, Roderick Melnik, Raymond J. Spiteri |
Edizione | [1st ed. 2016.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
Descrizione fisica | 1 online resource (XV, 806 p. 228 illus., 163 illus. in color.) |
Disciplina | 004 |
Soggetto topico |
Computer mathematics
Mathematical models Applied mathematics Engineering mathematics Biomathematics Computer simulation Physics Computational Science and Engineering Mathematical Modeling and Industrial Mathematics Mathematical and Computational Engineering Mathematical and Computational Biology Simulation and Modeling Numerical and Computational Physics, Simulation |
ISBN | 3-319-30379-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 Theory and Applications of Mathematical Models in Physical and Chemical Sciences -- 2 Mathematical and Computational Methods in Life Sciences and Medicine -- 3 Computational Engineering and Mathematical Foundation, Numerical Methods and Algorithms -- 4 Mathematics and Computation in Finance, Economics, and Social Sciences -- 5 New Challenges in Mathematical Modeling for Scientific and Engineering Applications. |
Record Nr. | UNINA-9910254079903321 |
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Mathematical and computational modeling : with applications in natural and social sciences, engineering, and the arts / / edited by Roderick Melnik |
Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2015 |
Descrizione fisica | 1 online resource (336 p.) |
Disciplina | 511/.8 |
Collana | Pure and Applied Mathematics : A Wiley Series of Texts, Monographs and Tracts |
Soggetto topico | Mathematical models |
ISBN |
1-118-85385-7
1-118-85388-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Title Page; Copyright Page; Contents; List of Contributors; Preface; Section 1 Introduction; Chapter 1 Universality of Mathematical Models in Understanding Nature, Society, and Man-Made World; 1.1 Human Knowledge, Models, and Algorithms; 1.2 Looking into the Future from a Modeling Perspective; 1.3 What This Book Is About; 1.4 Concluding Remarks; References; Section 2 Advanced Mathematical and Computational Models in Physics and Chemistry; Chapter 2 Magnetic Vortices, Abrikosov Lattices, and Automorphic Functions; 2.1 Introduction; 2.2 The Ginzburg-Landau Equations
2.2.1 Ginzburg-Landau energy 2.2.2 Symmetries of the equations; 2.2.3 Quantization of flux; 2.2.4 Homogeneous solutions; 2.2.5 Type I and Type II superconductors; 2.2.6 Self-dual case κ=1 2; 2.2.7 Critical magnetic fields; 2.2.8 Time-dependent equations; 2.3 Vortices; 2.3.1 n-vortex solutions; 2.3.2 Stability; 2.4 Vortex Lattices; 2.4.1 Abrikosov lattices; 2.4.2 Existence of Abrikosov lattices; 2.4.3 Abrikosov lattices as gauge-equivariant states; 2.4.4 Abrikosov function; 2.4.5 Comments on the proofs of existence results; 2.4.6 Stability of Abrikosov lattices; 2.4.7 Functions γδ(τ ),δ > 0 2.4.8 Key ideas of approach to stability 2.5 Multi-Vortex Dynamics; 2.6 Conclusions; Appendix 2.A Parameterization of the equivalence classes [L]; Appendix 2.B Automorphy factors; Acknowledgments; References; Chapter 3 Numerical Challenges in a Cholesky-Decomposed Local Correlation Quantum Chemistry Framework; 3.1 Introduction; 3.2 Local MRSDCI; 3.2.1 MRSDCI; 3.2.2 Symmetric group graphical approach; 3.2.3 Local electron correlation approximation; 3.2.4 Algorithm summary; 3.3 Numerical Importance of Individual Steps; 3.4 Cholesky Decomposition; 3.5 Transformation of the Cholesky Vectors 3.6 Two-Electron Integral Reassembly 3.7 Integral and Execution Buffer; 3.8 Symmetric Group Graphical Approach; 3.9 Summary and Outlook; Acknowledgments; References; Chapter 4 Generalized Variational Theorem in Quantum Mechanics; 4.1 Introduction; 4.2 First Proof; 4.3 Second Proof; 4.4 Conclusions; Acknowledgments; References; Section 3 Mathematical and Statistical Models in Life and Climate Science Applications; Chapter 5 A Model for the Spread of Tuberculosis with Drug-Sensitive and Emerging Multidrug-Resistant and Extensively Drug-Resistant Strains; 5.1 Introduction; 5.1.1 Model formulation 5.1.2 Mathematical Analysis 5.1.2.1 Basic properties of solutions; 5.1.2.2 Nature of the disease-free equilibrium; 5.1.2.3 Local asymptotic stability of the DFE; 5.1.2.4 Existence of subthreshold endemic equilibria; 5.1.2.5 Global stability of the DFE when the bifurcation is "forward"; 5.1.2.6 Strain-specific global stability in "forward" bifurcation cases; 5.2 Discussion; References; Chapter 6 The Need for More Integrated Epidemic Modeling with Emphasis on Antibiotic Resistance; 6.1 Introduction; 6.2 Mathematical Modeling of Infectious Diseases 6.3 Antibiotic Resistance, Behavior, and Mathematical Modeling |
Record Nr. | UNINA-9910140649403321 |
Hoboken, New Jersey : , : Wiley, , 2015 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Mathematical and computational modeling : with applications in natural and social sciences, engineering, and the arts / / edited by Roderick Melnik |
Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2015 |
Descrizione fisica | 1 online resource (336 p.) |
Disciplina | 511/.8 |
Collana | Pure and Applied Mathematics : A Wiley Series of Texts, Monographs and Tracts |
Soggetto topico | Mathematical models |
ISBN |
1-118-85385-7
1-118-85388-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Title Page; Copyright Page; Contents; List of Contributors; Preface; Section 1 Introduction; Chapter 1 Universality of Mathematical Models in Understanding Nature, Society, and Man-Made World; 1.1 Human Knowledge, Models, and Algorithms; 1.2 Looking into the Future from a Modeling Perspective; 1.3 What This Book Is About; 1.4 Concluding Remarks; References; Section 2 Advanced Mathematical and Computational Models in Physics and Chemistry; Chapter 2 Magnetic Vortices, Abrikosov Lattices, and Automorphic Functions; 2.1 Introduction; 2.2 The Ginzburg-Landau Equations
2.2.1 Ginzburg-Landau energy 2.2.2 Symmetries of the equations; 2.2.3 Quantization of flux; 2.2.4 Homogeneous solutions; 2.2.5 Type I and Type II superconductors; 2.2.6 Self-dual case κ=1 2; 2.2.7 Critical magnetic fields; 2.2.8 Time-dependent equations; 2.3 Vortices; 2.3.1 n-vortex solutions; 2.3.2 Stability; 2.4 Vortex Lattices; 2.4.1 Abrikosov lattices; 2.4.2 Existence of Abrikosov lattices; 2.4.3 Abrikosov lattices as gauge-equivariant states; 2.4.4 Abrikosov function; 2.4.5 Comments on the proofs of existence results; 2.4.6 Stability of Abrikosov lattices; 2.4.7 Functions γδ(τ ),δ > 0 2.4.8 Key ideas of approach to stability 2.5 Multi-Vortex Dynamics; 2.6 Conclusions; Appendix 2.A Parameterization of the equivalence classes [L]; Appendix 2.B Automorphy factors; Acknowledgments; References; Chapter 3 Numerical Challenges in a Cholesky-Decomposed Local Correlation Quantum Chemistry Framework; 3.1 Introduction; 3.2 Local MRSDCI; 3.2.1 MRSDCI; 3.2.2 Symmetric group graphical approach; 3.2.3 Local electron correlation approximation; 3.2.4 Algorithm summary; 3.3 Numerical Importance of Individual Steps; 3.4 Cholesky Decomposition; 3.5 Transformation of the Cholesky Vectors 3.6 Two-Electron Integral Reassembly 3.7 Integral and Execution Buffer; 3.8 Symmetric Group Graphical Approach; 3.9 Summary and Outlook; Acknowledgments; References; Chapter 4 Generalized Variational Theorem in Quantum Mechanics; 4.1 Introduction; 4.2 First Proof; 4.3 Second Proof; 4.4 Conclusions; Acknowledgments; References; Section 3 Mathematical and Statistical Models in Life and Climate Science Applications; Chapter 5 A Model for the Spread of Tuberculosis with Drug-Sensitive and Emerging Multidrug-Resistant and Extensively Drug-Resistant Strains; 5.1 Introduction; 5.1.1 Model formulation 5.1.2 Mathematical Analysis 5.1.2.1 Basic properties of solutions; 5.1.2.2 Nature of the disease-free equilibrium; 5.1.2.3 Local asymptotic stability of the DFE; 5.1.2.4 Existence of subthreshold endemic equilibria; 5.1.2.5 Global stability of the DFE when the bifurcation is "forward"; 5.1.2.6 Strain-specific global stability in "forward" bifurcation cases; 5.2 Discussion; References; Chapter 6 The Need for More Integrated Epidemic Modeling with Emphasis on Antibiotic Resistance; 6.1 Introduction; 6.2 Mathematical Modeling of Infectious Diseases 6.3 Antibiotic Resistance, Behavior, and Mathematical Modeling |
Record Nr. | UNINA-9910821859103321 |
Hoboken, New Jersey : , : Wiley, , 2015 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Mathematics and life sciences [[electronic resource] /] / edited by Alexandra V. Antoniouk, Roderick V.N. Melnik |
Pubbl/distr/stampa | Berlin, : De Gruyter, 2013 |
Descrizione fisica | 1 online resource (328 p.) |
Disciplina | 570.1/51 |
Altri autori (Persone) |
AntonioukAlexandra V
MelnikRoderick |
Collana | De Gruyter series in mathematics and life sciences |
Soggetto topico |
Biomathematics
Life sciences - Mathematics |
Soggetto non controllato |
Application
Life Sciences Mathematical Method Modeling Method Statistical Method |
ISBN | 3-11-028853-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Preface -- Contents -- 1 Introduction -- 1.1 Scientific Frontiers at the Interface of Mathematics and Life Sciences / Antoniouk, Alexandra V. / Melnik, Roderick V. N. -- 2 Mathematical and Statistical Modeling of Biological Systems -- 2.1 Ensemble Modeling of Biological Systems / Swigon, David -- 3 Probabilistic Models for Nonlinear Processes and Biological Dynamics -- 3.1 Nonlinear Lévy and Nonlinear Feller Processes: an Analytic Introduction / Kolokoltsov, Vassili N. -- 4 New Results in Mathematical Epidemiology and Modeling Dynamics of Infectious Diseases -- 4.1 Formal Solutions of Epidemic Equation / Stepanenko, Vitaly A. / Tarkhanov, Nikolai -- 5 Mathematical Analysis of PDE-based Models and Applications in Cell Biology -- 5.1 Asymptotic Analysis of the Dirichlet Spectral Problems in Thin Perforated Domains with Rapidly Varying Thickness and Different Limit Dimensions / Mel'nyk, Taras A. / Popov, Andrey V. -- 6 Axiomatic Modeling in Life Sciences with Case Studies for Virus-immune System and Oncolytic Virus Dynamics -- 6.1 AxiomaticModeling in Life Sciences / Komarova, Natalia L. -- 7 Theory, Applications, and Control of Nonlinear PDEs in Life Sciences -- 7.1 On One Semilinear Parabolic Equation of Normal Type / Fursikov, Andrei V. -- 7.2 On some Classes of Nonlinear Equations with L1-Data / Kovalevsky, Alexander A. -- 8 Mathematical Models of Pattern Formation and Their Applications in Developmental Biology -- 8.1 Reaction-Diffusion Models of Pattern Formation in Developmental Biology / Marciniak-Czochra, Anna -- 9 Modeling the Dynamics of Genetic Mechanism, Pattern Formation, and the Genetics of "Geometry" -- 9.1 Modeling the Positioning of Trichomes on the Leaves of Plants / Anderssen, Robert S. / Edwards, Maureen P. / Pereverzyev, Sergiy -- 10 Statistical Modeling in Life Sciences and Direct Measurements -- 10.1 Error Estimation for Direct Measurements in May-June 1986 of 131I Radioactivity in Thyroid Gland of Children and Adolescents and Their Registration in Risk Analysis / Likhtarov, Illya / Masiuk, Sergii / Chepurny, Mykola / Kukush, Alexander / Shklyar, Sergiy / Bouville, Andre / Kovgan, Lina -- 11 Design and Development of Experiments for Life Science Applications -- 11.1 Physiological Effects of Static Magnetic Field Exposure in an in vivo Acute Visceral Pain Model in Mice / László, János F. -- 12 Mathematical Biomedicine and Modeling Avascular Tumor Growth -- 12.1 Continuum Models of Avascular Tumor Growth / Byrne, Helen M. -- Index |
Record Nr. | UNINA-9910779737803321 |
Berlin, : De Gruyter, 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Recent Advances in Mathematical and Statistical Methods : IV AMMCS International Conference, Waterloo, Canada, August 20–25, 2017 / / edited by D. Marc Kilgour, Herb Kunze, Roman Makarov, Roderick Melnik, Xu Wang |
Edizione | [1st ed. 2018.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
Descrizione fisica | 1 online resource (622 pages) |
Disciplina | 510 |
Collana | Springer Proceedings in Mathematics & Statistics |
Soggetto topico |
Computer mathematics
Mathematical models Probabilities Biomathematics Mathematics Social sciences Statistics Computational Science and Engineering Mathematical Modeling and Industrial Mathematics Probability Theory and Stochastic Processes Mathematical and Computational Biology Mathematics in the Humanities and Social Sciences Statistics for Life Sciences, Medicine, Health Sciences |
ISBN | 3-319-99719-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Part I: Advances in Mathematical and Statistical Modelling -- Part II: Analytical and Computational Methods in Inverse Problems -- Part III: Computational Methods and Modelling in Engineering and Mechanics -- Part IV: Mathematical Modelling and Computation in Physical and Chemical Sciences -- Part V: Mathematical Modelling in Biological and Environmental Sciences -- Part VI: Mathematical Modelling in Medical and Health Sciences -- Part VII: Mathematics and Computation in Finance, Economics, and Social Sciences -- Part VIII: Theory and Applications of Dynamical Systems. |
Record Nr. | UNINA-9910300103803321 |
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science / / edited by Roderick Melnik, Roman Makarov, Jacques Belair |
Edizione | [1st ed. 2017.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2017 |
Descrizione fisica | 1 online resource (VIII, 444 p. 64 illus., 54 illus. in color.) |
Disciplina | 510 |
Collana | Fields Institute Communications |
Soggetto topico |
Mathematical models
Mathematics - Data processing Mathematical Modeling and Industrial Mathematics Computational Science and Engineering |
ISBN | 1-4939-6969-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910254311203321 |
New York, NY : , : Springer New York : , : Imprint : Springer, , 2017 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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