Applied shape optimization for fluids / / Bijan Mohammadi, Olivier Pironneau
| Applied shape optimization for fluids / / Bijan Mohammadi, Olivier Pironneau |
| Autore | Mohammadi B |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Oxford ; ; New York, : Oxford University Press, c2010 |
| Descrizione fisica | 1 online resource (292 p.) |
| Disciplina | 620.1/06/0151 |
| Altri autori (Persone) | PironneauOlivier |
| Collana | Numerical mathematics and scientific computation |
| Soggetto topico |
Fluid dynamics - Mathematics
Mathematical optimization Shape theory (Topology) |
| ISBN |
1-5231-2123-8
9786612349157 1-282-34915-5 0-19-157421-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; 1 Introduction; 2 Optimal shape design; 2.1 Introduction; 2.2 Examples; 2.2.1 Minimum weight of structures; 2.2.2 Wing drag optimization; 2.2.3 Synthetic jets and riblets; 2.2.4 Stealth wings; 2.2.5 Optimal breakwater; 2.2.6 Two academic test cases: nozzle optimization; 2.3 Existence of solutions; 2.3.1 Topological optimization; 2.3.2 Suficient conditions for existence; 2.4 Solution by optimization methods; 2.4.1 Gradient methods; 2.4.2 Newton methods; 2.4.3 Constraints; 2.4.4 A constrained optimization algorithm; 2.5 Sensitivity analysis
2.5.1 Sensitivity analysis for the nozzle problem2.5.2 Numerical tests with freefem++; 2.6 Discretization with triangular elements; 2.6.1 Sensitivity of the discrete problem; 2.7 Implementation and numerical issues; 2.7.1 Independence from the cost function; 2.7.2 Addition of geometrical constraints; 2.7.3 Automatic differentiation; 2.8 Optimal design for Navier-Stokes flows; 2.8.1 Optimal shape design for Stokes flows; 2.8.2 Optimal shape design for Navier-Stokes flows; References; 3 Partial differential equations for fluids; 3.1 Introduction; 3.2 The Navier-Stokes equations 3.2.1 Conservation of mass3.2.2 Conservation of momentum; 3.2.3 Conservation of energy and and the law of state; 3.3 Inviscid flows; 3.4 Incompressible flows; 3.5 Potential flows; 3.6 Turbulence modeling; 3.6.1 The Reynolds number; 3.6.2 Reynolds equations; 3.6.3 The k - ε model; 3.7 Equations for compressible flows in conservation form; 3.7.1 Boundary and initial conditions; 3.8 Wall laws; 3.8.1 Generalized wall functions for u; 3.8.2 Wall function for the temperature; 3.8.3 k and ε; 3.9 Generalization of wall functions; 3.9.1 Pressure correction 3.9.2 Corrections on adiabatic walls for compressible flows3.9.3 Prescribing ρ[sub(w)]; 3.9.4 Correction for the Reichardt law; 3.10 Wall functions for isothermal walls; References; 4 Some numerical methods for fluids; 4.1 Introduction; 4.2 Numerical methods for compressible flows; 4.2.1 Flux schemes and upwinded schemes; 4.2.2 A FEM-FVM discretization; 4.2.3 Approximation of the convection fluxes; 4.2.4 Accuracy improvement; 4.2.5 Positivity; 4.2.6 Time integration; 4.2.7 Local time stepping procedure; 4.2.8 Implementation of the boundary conditions 4.2.9 Solid walls: transpiration boundary condition4.2.10 Solid walls: implementation of wall laws; 4.3 Incompressible flows; 4.3.1 Solution by a projection scheme; 4.3.2 Spatial discretization; 4.3.3 Local time stepping; 4.3.4 Numerical approximations for the k - ε equations; 4.4 Mesh adaptation; 4.4.1 Delaunay mesh generator; 4.4.2 Metric definition; 4.4.3 Mesh adaptation for unsteady flows; 4.5 An example of adaptive unsteady flow calculation; References; 5 Sensitivity evaluation and automatic differentiation; 5.1 Introduction; 5.2 Computations of derivatives; 5.2.1 Finite differences 5.2.2 Complex variables method |
| Record Nr. | UNINA-9911006687803321 |
Mohammadi B
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| Oxford ; ; New York, : Oxford University Press, c2010 | ||
| Lo trovi qui: Univ. Federico II | ||
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Creating shapes in civil and naval architecture [[electronic resource] ] : a cross-disciplinary comparison / / edited by Horst Nowacki and Wolfgang Lefèvre
| Creating shapes in civil and naval architecture [[electronic resource] ] : a cross-disciplinary comparison / / edited by Horst Nowacki and Wolfgang Lefèvre |
| Pubbl/distr/stampa | Leiden ; ; Boston, : Brill, 2009 |
| Descrizione fisica | 1 online resource (470 p.) |
| Disciplina | 623.8/1 |
| Altri autori (Persone) |
NowackiH (Horst)
LefèvreWolfgang <1941-> |
| Collana | History of science and medicine library |
| Soggetto topico |
Naval architecture - Design and construction - History
Hulls (Naval architecture) - Design and construction - History Shape theory (Topology) Structural optimization Shipbuilding - History |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-60172-5
9786612601729 90-474-2691-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preliminary Materials / H. Nowacki and W. Lefèvre -- Colour Plates I–LII / H. Nowacki and W. Lefèvre -- Chapter One. Shape Creation Knowledge In Civil And Naval Architecture / Horst Nowacki -- Chapter Two. On The Use Of Design In Ancient Mediterranean Ship Construction / Patrice Pomey -- Chapter Three. Were The Hittites Able To Build A Replica Of An Egyptian Ship According To Their Own Drawings? / Lucien Basch -- Chapter Four. Markings And Pegs: Clues To Geometrical Procedures Of Roman Naval Architecture? / Ronald Bockius -- Chapter Five. Ancient Greek And Roman Architects’ Approach To Curvature — The Corinthian Capital, Entasis And Amphitheaters / Mark Wilson Jones -- Chapter Six. "To Design" And "To Build" Mediaeval Ships (Fifth To Fifteenth Centuries) — The Application Of Knowledge Held In Common With Civil Architecture, Or In Isolation? / Eric Rieth -- Chapter Seven. Boat And Boat House. The Conceptional Origins Of Clinker Boats And Boat-Shaped Halls Of The Fourth To Eleventh Centuries In Scandinavia / Ole Crumlin-Pedersen -- Chapter Eight. Gothic And Renaissance Design Strategies In Stonecutting / Enrique Rabasa Díaz and José Calvo López -- Chapter Nine. On Late-Gothic Vault Geometry / Jos Tomlow -- Chapter Ten. The Shipbuilding Text Of Michael Of Rhodes / David Mcgee -- Chapter Eleven. Naval Architecture Digitalized Introducing Arithmetic And Geometry Into Late Mediaeval Shipwrightry / Ulrich Alertz -- Chapter Twelve. Pregnant Columns. From Word To Shape / Antonio Becchi -- Chapter Thirteen. From One Curve To Another Or The Problem Of Changing Coordinates In Stereotomic Layouts / Joël Sakarovitch -- Chapter Fourteen. The Squinch Of Anet / Martina Lenz -- Conclusions / H. Nowacki and W. Lefèvre -- Appendices / H. Nowacki and W. Lefèvre -- Appendix A. From Words To Technical Practices: Moulds And Naval Architecture In The Middle Ages / Eric Rieth -- Appendix B. The Rare Traces Of Constructional Procedures In "Practical Geometries" / Jens Høyrup -- Appendix C. Draughting Curves Used In Ship Design / Jobst Lessenich -- Appendix D. Bibliographical Notes On Historical Metrology / Compiled and Jobst Lessenich -- Index / H. Nowacki and W. Lefèvre. |
| Record Nr. | UNINA-9910458850603321 |
| Leiden ; ; Boston, : Brill, 2009 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Creating shapes in civil and naval architecture : a cross-disciplinary comparison / / editors, Horst Nowacki, Wolfgang Lefèvre
| Creating shapes in civil and naval architecture : a cross-disciplinary comparison / / editors, Horst Nowacki, Wolfgang Lefèvre |
| Pubbl/distr/stampa | Leiden ; ; Boston, : Brill, 2009 |
| Descrizione fisica | 1 online resource (470 pages) : illustrations, plates |
| Disciplina | 623.8/1 |
| Altri autori (Persone) |
NowackiH (Horst)
LefèvreWolfgang <1941-> |
| Collana | History of science and medicine library |
| Soggetto topico |
Naval architecture - Design and construction - History
Hulls (Naval architecture) - Design and construction - History Shape theory (Topology) Structural optimization Shipbuilding - History |
| ISBN |
1-282-60172-5
9786612601729 90-474-2691-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preliminary Materials / H. Nowacki and W. Lefèvre -- Colour Plates I–LII / H. Nowacki and W. Lefèvre -- Chapter One. Shape Creation Knowledge In Civil And Naval Architecture / Horst Nowacki -- Chapter Two. On The Use Of Design In Ancient Mediterranean Ship Construction / Patrice Pomey -- Chapter Three. Were The Hittites Able To Build A Replica Of An Egyptian Ship According To Their Own Drawings? / Lucien Basch -- Chapter Four. Markings And Pegs: Clues To Geometrical Procedures Of Roman Naval Architecture? / Ronald Bockius -- Chapter Five. Ancient Greek And Roman Architects’ Approach To Curvature — The Corinthian Capital, Entasis And Amphitheaters / Mark Wilson Jones -- Chapter Six. "To Design" And "To Build" Mediaeval Ships (Fifth To Fifteenth Centuries) — The Application Of Knowledge Held In Common With Civil Architecture, Or In Isolation? / Eric Rieth -- Chapter Seven. Boat And Boat House. The Conceptional Origins Of Clinker Boats And Boat-Shaped Halls Of The Fourth To Eleventh Centuries In Scandinavia / Ole Crumlin-Pedersen -- Chapter Eight. Gothic And Renaissance Design Strategies In Stonecutting / Enrique Rabasa Díaz and José Calvo López -- Chapter Nine. On Late-Gothic Vault Geometry / Jos Tomlow -- Chapter Ten. The Shipbuilding Text Of Michael Of Rhodes / David Mcgee -- Chapter Eleven. Naval Architecture Digitalized Introducing Arithmetic And Geometry Into Late Mediaeval Shipwrightry / Ulrich Alertz -- Chapter Twelve. Pregnant Columns. From Word To Shape / Antonio Becchi -- Chapter Thirteen. From One Curve To Another Or The Problem Of Changing Coordinates In Stereotomic Layouts / Joël Sakarovitch -- Chapter Fourteen. The Squinch Of Anet / Martina Lenz -- Conclusions / H. Nowacki and W. Lefèvre -- Appendices / H. Nowacki and W. Lefèvre -- Appendix A. From Words To Technical Practices: Moulds And Naval Architecture In The Middle Ages / Eric Rieth -- Appendix B. The Rare Traces Of Constructional Procedures In "Practical Geometries" / Jens Høyrup -- Appendix C. Draughting Curves Used In Ship Design / Jobst Lessenich -- Appendix D. Bibliographical Notes On Historical Metrology / Compiled and Jobst Lessenich -- Index / H. Nowacki and W. Lefèvre. |
| Record Nr. | UNINA-9910792450403321 |
| Leiden ; ; Boston, : Brill, 2009 | ||
| Lo trovi qui: Univ. Federico II | ||
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Embedding coverings into bundles with applications / / P.F. Duvall and L.S. Husch
| Embedding coverings into bundles with applications / / P.F. Duvall and L.S. Husch |
| Autore | Duvall P. F (Paul F.), <1941-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1982] |
| Descrizione fisica | 1 online resource (60 p.) |
| Disciplina |
510 s
514/.3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Manifolds (Mathematics)
Topological imbeddings Vector bundles Shape theory (Topology) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0670-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""INTRODUCTION""; ""PART I. EMBEDDING FINITE COVERS INTO BUNDLES""; ""1. Removing singularities of maps""; ""2. Singularities of maps into bundles""; ""3. Embedding covering spaces into bundles""; ""4. The obstruction""; ""PART II. EMBEDDING MANIFOLD-LIKE CONTINUA UP TO SHAPE""; ""5. Applications of Part I to embedding continua up to shape""; ""6. An n-manifold-like compactum which does not embed up to shape in R[sup(2n)]""; ""7. Singularities of coverings of immersions""; ""8. Embedding up to shape manifold-like continua whose factors need not embed""
""9. Embedding double coverings""""10. An example""; ""11. n-manifold-like continua which do not embed up to shape in R[sup(2n)]""; ""REFERENCES"" |
| Record Nr. | UNINA-9910480770303321 |
Duvall P. F (Paul F.), <1941->
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||
| Providence, Rhode Island : , : American Mathematical Society, , [1982] | ||
| Lo trovi qui: Univ. Federico II | ||
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Embedding coverings into bundles with applications / / P.F. Duvall and L.S. Husch
| Embedding coverings into bundles with applications / / P.F. Duvall and L.S. Husch |
| Autore | Duvall P. F (Paul F.), <1941-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1982] |
| Descrizione fisica | 1 online resource (60 p.) |
| Disciplina |
510 s
514/.3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Manifolds (Mathematics)
Topological imbeddings Vector bundles Shape theory (Topology) |
| ISBN | 1-4704-0670-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""INTRODUCTION""; ""PART I. EMBEDDING FINITE COVERS INTO BUNDLES""; ""1. Removing singularities of maps""; ""2. Singularities of maps into bundles""; ""3. Embedding covering spaces into bundles""; ""4. The obstruction""; ""PART II. EMBEDDING MANIFOLD-LIKE CONTINUA UP TO SHAPE""; ""5. Applications of Part I to embedding continua up to shape""; ""6. An n-manifold-like compactum which does not embed up to shape in R[sup(2n)]""; ""7. Singularities of coverings of immersions""; ""8. Embedding up to shape manifold-like continua whose factors need not embed""
""9. Embedding double coverings""""10. An example""; ""11. n-manifold-like continua which do not embed up to shape in R[sup(2n)]""; ""REFERENCES"" |
| Record Nr. | UNINA-9910788897103321 |
Duvall P. F (Paul F.), <1941->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1982] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Embedding coverings into bundles with applications / / P.F. Duvall and L.S. Husch
| Embedding coverings into bundles with applications / / P.F. Duvall and L.S. Husch |
| Autore | Duvall P. F (Paul F.), <1941-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1982] |
| Descrizione fisica | 1 online resource (60 p.) |
| Disciplina |
510 s
514/.3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Manifolds (Mathematics)
Topological imbeddings Vector bundles Shape theory (Topology) |
| ISBN | 1-4704-0670-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""INTRODUCTION""; ""PART I. EMBEDDING FINITE COVERS INTO BUNDLES""; ""1. Removing singularities of maps""; ""2. Singularities of maps into bundles""; ""3. Embedding covering spaces into bundles""; ""4. The obstruction""; ""PART II. EMBEDDING MANIFOLD-LIKE CONTINUA UP TO SHAPE""; ""5. Applications of Part I to embedding continua up to shape""; ""6. An n-manifold-like compactum which does not embed up to shape in R[sup(2n)]""; ""7. Singularities of coverings of immersions""; ""8. Embedding up to shape manifold-like continua whose factors need not embed""
""9. Embedding double coverings""""10. An example""; ""11. n-manifold-like continua which do not embed up to shape in R[sup(2n)]""; ""REFERENCES"" |
| Record Nr. | UNINA-9910827440603321 |
Duvall P. F (Paul F.), <1941->
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| Providence, Rhode Island : , : American Mathematical Society, , [1982] | ||
| Lo trovi qui: Univ. Federico II | ||
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Geometry driven statistics / / edited by Ian L. Dryden and John T. Kent
| Geometry driven statistics / / edited by Ian L. Dryden and John T. Kent |
| Pubbl/distr/stampa | Chichester, England : , : Wiley, , 2015 |
| Descrizione fisica | 1 online resource (519 p.) |
| Disciplina | 519.5 |
| Collana | Wiley Series in Probability and Statistics |
| Soggetto topico |
Stereology - Mathematics
Stochastic geometry Shape theory (Topology) Mathematical statistics |
| ISBN |
1-118-86664-9
1-118-86660-6 1-118-86661-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910131493203321 |
| Chichester, England : , : Wiley, , 2015 | ||
| Lo trovi qui: Univ. Federico II | ||
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Geometry driven statistics / / edited by Ian L. Dryden and John T. Kent
| Geometry driven statistics / / edited by Ian L. Dryden and John T. Kent |
| Pubbl/distr/stampa | Chichester, England : , : Wiley, , 2015 |
| Descrizione fisica | 1 online resource (519 p.) |
| Disciplina | 519.5 |
| Collana | Wiley Series in Probability and Statistics |
| Soggetto topico |
Stereology - Mathematics
Stochastic geometry Shape theory (Topology) Mathematical statistics |
| ISBN |
1-118-86664-9
1-118-86660-6 1-118-86661-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910827737703321 |
| Chichester, England : , : Wiley, , 2015 | ||
| Lo trovi qui: Univ. Federico II | ||
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Mutational and morphological analysis : tools for shape evolution and morphogenesis / Jean-Pierre Aubin
| Mutational and morphological analysis : tools for shape evolution and morphogenesis / Jean-Pierre Aubin |
| Autore | Aubin, Jean Pierre |
| Pubbl/distr/stampa | Boston : Birkhauser, c1999 |
| Descrizione fisica | xxxvii, 425 p. : ill. ; 25 cm. |
| Disciplina | 515.2 |
| Collana | Systems & control |
| Soggetto topico |
Mathematical analysis
Set-valued maps Shape theory (Topology) |
| ISBN | 0817639357 |
| Classificazione |
AMS 58C06
QA611.3.A927 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001163539707536 |
Aubin, Jean Pierre
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| Boston : Birkhauser, c1999 | ||
| Lo trovi qui: Univ. del Salento | ||
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Shape and shape theory [[electronic resource] /] / D.G. Kendall ... [et al.]
| Shape and shape theory [[electronic resource] /] / D.G. Kendall ... [et al.] |
| Autore | Kendall D. G (David George), <1918-2007.> |
| Pubbl/distr/stampa | Chichester ; ; New York, : Wiley, c1999 |
| Descrizione fisica | 1 online resource (328 p.) |
| Disciplina | 514.24 |
| Altri autori (Persone) | KendallD. G <1918-2007.> (David George) |
| Collana | Wiley series in probability and statistics |
| Soggetto topico |
Shape theory (Topology)
Topological spaces |
| ISBN |
1-282-30738-X
9786612307386 0-470-31700-0 0-470-31784-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Shape and Shape Theory; Contents; Preface; Chapter 1 Shapes and Shape Spaces; 1.1 Origins; 1.2 Some preliminary observations; 1.3 A matrix representation for the shape of a k-ad; 1.4 'Elementary' shape spaces Σk1 and Σk2; 1.5 The Fubini-Study metric on Σk2; 1.6 The proof of Casson's theorem; Chapter 2 The Global Structure of Shape Spaces; 2.1 The problem; 2.2 When is a space familiar; 2.3 CW complexes; 2.4 A cellular decomposition of the unit sphere; 2.5 The cellular decomposition of shape spaces; 2.6 Inclusions and isometries; 2.7 Simple connectivity and higher homotopy groups
2.8 The mapping cone decomposition2.9 Homotopy type and Casson's theorem; Chapter 3 Computing the Homology of Cell Complexes; 3.1 The orientation of certain spaces; 3.2 The orientation of spherical cells; 3.3 The boundary of an oriented cell; 3.4 The chain complex, homology and cohomology groups; 3.5 Reduced homology; 3.6 The homology exact sequence for shape spaces; 3.7 Applications of the exact sequence; 3.8 Topological invariants that distinguish between shape spaces; Chapter 4 A Chain Complex for Shape Spaces; 4.1 The chain complex; 4.2 The space of unoriented shapes 4.3 The boundary map in the chain complex4.4 Decomposing the chain complex; 4.5 Homology and cohomology of the spaces; 4.6 Connectivity of shape spaces; 4.7 Limits of shape spaces; Chapter 5 The Homology Groups of Shape Spaces; 5.1 Spaces of shapes in 2-space; 5.2 Spaces of shapes in 3-space; 5.3 Spaces of shapes in 4-space; 5.4 Spaces of unoriented shapes in 2-space; 5.5 Spaces of unoriented shapes in 3-space; 5.6 Spaces of unoriented shapes in 4-space; 5.7 Decomposing the essential complexes; 5.8 Closed formulae for the homology groups; 5.9 Duality in shape spaces Chapter 6 Geodesics in Shape Spaces6.1 The action of SO(m) on the pre-shape sphere; 6.2 Viewing the induced Riemannian metric through horizontal geodesics; 6.3 The singular points and the nesting principle; 6.4 The distance between shapes; 6.5 The set of geodesics between two shapes; 6.6 The non-uniqueness of minimal geodesics; 6.7 The cut locus in shape spaces; 6.8 The distances and projections to lower strata; Chapter 7 The Riemannian Structure of Shape Spaces; 7.1 The Riemannian metric; 7.2 The metric re-expressed through natural local vector fields; 7.3 The Riemannian curvature tensor Chapter 8 Induced Shape-Measures8.1 Geometric preliminaries; 8.2 The shape-measure on Σkm induced by k labelled iid isotropic Gaussian distributions on Rm; 8.3 Shape-measures on Σm+1m of Poisson-Delaunay tiles; 8.4 Shape-measures on Σk2 induced by k labelled iid non-isotropic Gaussian distributions on R2; 8.5 Shape-measures on Σk2 induced by complex normal distributions; 8.6 The shape-measure on Σ32 induced by three labelled iid uniform distributions in a compact convex set 8.7 The shape-measure on Σ32 induced by three labelled iid uniform distributions in a convex polygon. I: the singular tessellation |
| Record Nr. | UNINA-9910139884103321 |
Kendall D. G (David George), <1918-2007.>
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| Chichester ; ; New York, : Wiley, c1999 | ||
| Lo trovi qui: Univ. Federico II | ||
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