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Axioms and Hulls [[electronic resource] /] / by Donald E. Knuth
| Axioms and Hulls [[electronic resource] /] / by Donald E. Knuth |
| Autore | Knuth Donald E |
| Edizione | [1st ed. 1992.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1992 |
| Descrizione fisica | 1 online resource (X, 114 p.) |
| Disciplina | 516/.08 |
| Collana | Lecture Notes in Computer Science |
| Soggetto topico |
Computers
Application software Discrete mathematics Computer graphics Algorithms Combinatorics Theory of Computation Computer Applications Discrete Mathematics Computer Graphics Algorithm Analysis and Problem Complexity |
| ISBN | 3-540-47259-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996465760703316 |
Knuth Donald E
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Blaschke's rolling theorem in Rn / / J.N. Brooks and J.B. Strantzen
| Blaschke's rolling theorem in Rn / / J.N. Brooks and J.B. Strantzen |
| Autore | Brooks J. N (Jeffrey Noel), <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1989 |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina | 516/.08 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Convex sets
Convex domains |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0828-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""PART I: LOCAL CONDITIONS FOR CONTAINMENT""; ""CHAPTER 0. INTRODUCTION""; ""CHAPTER 1. MAIN RESULT AND SKETCH PROOF""; ""1.1 Definitions and Statement of Main Result""; ""CHAPTER 2. THE MAIN RESULT FOR CURVES""; ""2.1 Preliminary Results and Notation""; ""2.2 The Main Result for Curves""; ""CHAPTER 3. CONVEX REGIONS IN R[sup(n)]""; ""3.1 Preliminary Results""; ""3.2 Faithful Projections""; ""3.3 Proving Lemma 1.1.5""; ""3.4 Proving Theorem 1.1.4""; ""3.5 Possible Generalisations of the Main Theorem""
""CHAPTER 4. THE SMOOTH CASE: APPLICATIONS TO DIFFERENTIAL GEOMETRY""""4.1 Local Representation of S as a Function""; ""4.2 Radii of Curvature Indicatrices""; ""4.2 Semi-Local Insideness in Terms of Radii of Curvature and Indicatrices""; ""PART II: COMMON BOUNDARIES OF TOUCHING CONVEX REGIONS AND BLASCHKE'S ROLLING THEOREM""; ""CHAPTER 5. INTRODUCTION""; ""CHAPTER 6. SOME PRELIMINARIES""; ""CHAPTER 7. EXISTENCE OF HYPERPLANES OF SUPPORT""; ""CHAPTER 8. COMMON BOUNDARIES RESULTS""; ""CHAPTER 9. APPLICATION TO SPHERES AND BLASCHKE'S ROLLING THEOREM""; ""REFERENCES"" |
| Record Nr. | UNINA-9910480031103321 |
|
Brooks J. N (Jeffrey Noel), <1956->
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| Providence, Rhode Island : , : American Mathematical Society, , 1989 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Blaschke's rolling theorem in Rn / / J.N. Brooks and J.B. Strantzen
| Blaschke's rolling theorem in Rn / / J.N. Brooks and J.B. Strantzen |
| Autore | Brooks J. N (Jeffrey Noel), <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1989 |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina | 516/.08 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Convex sets
Convex domains |
| ISBN | 1-4704-0828-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""PART I: LOCAL CONDITIONS FOR CONTAINMENT""; ""CHAPTER 0. INTRODUCTION""; ""CHAPTER 1. MAIN RESULT AND SKETCH PROOF""; ""1.1 Definitions and Statement of Main Result""; ""CHAPTER 2. THE MAIN RESULT FOR CURVES""; ""2.1 Preliminary Results and Notation""; ""2.2 The Main Result for Curves""; ""CHAPTER 3. CONVEX REGIONS IN R[sup(n)]""; ""3.1 Preliminary Results""; ""3.2 Faithful Projections""; ""3.3 Proving Lemma 1.1.5""; ""3.4 Proving Theorem 1.1.4""; ""3.5 Possible Generalisations of the Main Theorem""
""CHAPTER 4. THE SMOOTH CASE: APPLICATIONS TO DIFFERENTIAL GEOMETRY""""4.1 Local Representation of S as a Function""; ""4.2 Radii of Curvature Indicatrices""; ""4.2 Semi-Local Insideness in Terms of Radii of Curvature and Indicatrices""; ""PART II: COMMON BOUNDARIES OF TOUCHING CONVEX REGIONS AND BLASCHKE'S ROLLING THEOREM""; ""CHAPTER 5. INTRODUCTION""; ""CHAPTER 6. SOME PRELIMINARIES""; ""CHAPTER 7. EXISTENCE OF HYPERPLANES OF SUPPORT""; ""CHAPTER 8. COMMON BOUNDARIES RESULTS""; ""CHAPTER 9. APPLICATION TO SPHERES AND BLASCHKE'S ROLLING THEOREM""; ""REFERENCES"" |
| Record Nr. | UNINA-9910788871703321 |
|
Brooks J. N (Jeffrey Noel), <1956->
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||
| Providence, Rhode Island : , : American Mathematical Society, , 1989 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Blaschke's rolling theorem in Rn / / J.N. Brooks and J.B. Strantzen
| Blaschke's rolling theorem in Rn / / J.N. Brooks and J.B. Strantzen |
| Autore | Brooks J. N (Jeffrey Noel), <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1989 |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina | 516/.08 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Convex sets
Convex domains |
| ISBN | 1-4704-0828-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""PART I: LOCAL CONDITIONS FOR CONTAINMENT""; ""CHAPTER 0. INTRODUCTION""; ""CHAPTER 1. MAIN RESULT AND SKETCH PROOF""; ""1.1 Definitions and Statement of Main Result""; ""CHAPTER 2. THE MAIN RESULT FOR CURVES""; ""2.1 Preliminary Results and Notation""; ""2.2 The Main Result for Curves""; ""CHAPTER 3. CONVEX REGIONS IN R[sup(n)]""; ""3.1 Preliminary Results""; ""3.2 Faithful Projections""; ""3.3 Proving Lemma 1.1.5""; ""3.4 Proving Theorem 1.1.4""; ""3.5 Possible Generalisations of the Main Theorem""
""CHAPTER 4. THE SMOOTH CASE: APPLICATIONS TO DIFFERENTIAL GEOMETRY""""4.1 Local Representation of S as a Function""; ""4.2 Radii of Curvature Indicatrices""; ""4.2 Semi-Local Insideness in Terms of Radii of Curvature and Indicatrices""; ""PART II: COMMON BOUNDARIES OF TOUCHING CONVEX REGIONS AND BLASCHKE'S ROLLING THEOREM""; ""CHAPTER 5. INTRODUCTION""; ""CHAPTER 6. SOME PRELIMINARIES""; ""CHAPTER 7. EXISTENCE OF HYPERPLANES OF SUPPORT""; ""CHAPTER 8. COMMON BOUNDARIES RESULTS""; ""CHAPTER 9. APPLICATION TO SPHERES AND BLASCHKE'S ROLLING THEOREM""; ""REFERENCES"" |
| Record Nr. | UNINA-9910827436903321 |
|
Brooks J. N (Jeffrey Noel), <1956->
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| Providence, Rhode Island : , : American Mathematical Society, , 1989 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Convexity and optimization in R [superscript n] [[electronic resource] /] / Leonard D. Berkovitz
| Convexity and optimization in R [superscript n] [[electronic resource] /] / Leonard D. Berkovitz |
| Autore | Berkovitz Leonard David <1924-> |
| Pubbl/distr/stampa | New York, : J. Wiley, c2002 |
| Descrizione fisica | 1 online resource (283 p.) |
| Disciplina |
516/.08
519.3 |
| Collana | Pure and applied mathematicss |
| Soggetto topico |
Convex sets
Mathematical optimization |
| ISBN |
1-280-36700-8
9786610367009 0-470-31182-7 0-471-46166-0 0-471-24970-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONVEXITY AND OPTIMIZATION IN R(n); CONTENTS; Preface; I Topics in Real Analysis; 1. Introduction; 2. Vectors in R(n); 3. Algebra of Sets; 4. Metric Topology of R(n); 5. Limits and Continuity; 6. Basic Property of Real Numbers; 7. Compactness; 8. Equivalent Norms and Cartesian Products; 9. Fundamental Existence Theorem; 10. Linear Transformations; 11. Differentiation in R(n); II Convex Sets in R(n); 1. Lines and Hyperplanes in R(n); 2. Properties of Convex Sets; 3. Separation Theorems; 4. Supporting Hyperplanes: Extreme Points; 5. Systems of Linear Inequalities: Theorems of the Alternative
6. Affine Geometry7. More on Separation and Support; III Convex Functions; 1. Definition and Elementary Properties; 2. Subgradients; 3. Differentiable Convex Functions; 4. Alternative Theorems for Convex Functions; 5. Application to Game Theory; IV Optimization Problems; 1. Introduction; 2. Differentiable Unconstrained Problems; 3. Optimization of Convex Functions; 4. Linear Programming Problems; 5. First-Order Conditions for Differentiable Nonlinear Programming Problems; 6. Second-Order Conditions; V Convex Programming and Duality; 1. Problem Statement 2. Necessary Conditions and Sufficient Conditions3. Perturbation Theory; 4. Lagrangian Duality; 5. Geometric Interpretation; 6. Quadratic Programming; 7. Duality in Linear Programming; VI Simplex Method; 1. Introduction; 2. Extreme Points of Feasible Set; 3. Preliminaries to Simplex Method; 4. Phase II of Simplex Method; 5. Termination and Cycling; 6. Phase I of Simplex Method; 7. Revised Simplex Method; Bibliography; Index |
| Record Nr. | UNINA-9910143190903321 |
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Berkovitz Leonard David <1924->
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| New York, : J. Wiley, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Convexity and optimization in R [superscript n] [[electronic resource] /] / Leonard D. Berkovitz
| Convexity and optimization in R [superscript n] [[electronic resource] /] / Leonard D. Berkovitz |
| Autore | Berkovitz Leonard David <1924-> |
| Pubbl/distr/stampa | New York, : J. Wiley, c2002 |
| Descrizione fisica | 1 online resource (283 p.) |
| Disciplina |
516/.08
519.3 |
| Collana | Pure and applied mathematicss |
| Soggetto topico |
Convex sets
Mathematical optimization |
| ISBN |
1-280-36700-8
9786610367009 0-470-31182-7 0-471-46166-0 0-471-24970-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONVEXITY AND OPTIMIZATION IN R(n); CONTENTS; Preface; I Topics in Real Analysis; 1. Introduction; 2. Vectors in R(n); 3. Algebra of Sets; 4. Metric Topology of R(n); 5. Limits and Continuity; 6. Basic Property of Real Numbers; 7. Compactness; 8. Equivalent Norms and Cartesian Products; 9. Fundamental Existence Theorem; 10. Linear Transformations; 11. Differentiation in R(n); II Convex Sets in R(n); 1. Lines and Hyperplanes in R(n); 2. Properties of Convex Sets; 3. Separation Theorems; 4. Supporting Hyperplanes: Extreme Points; 5. Systems of Linear Inequalities: Theorems of the Alternative
6. Affine Geometry7. More on Separation and Support; III Convex Functions; 1. Definition and Elementary Properties; 2. Subgradients; 3. Differentiable Convex Functions; 4. Alternative Theorems for Convex Functions; 5. Application to Game Theory; IV Optimization Problems; 1. Introduction; 2. Differentiable Unconstrained Problems; 3. Optimization of Convex Functions; 4. Linear Programming Problems; 5. First-Order Conditions for Differentiable Nonlinear Programming Problems; 6. Second-Order Conditions; V Convex Programming and Duality; 1. Problem Statement 2. Necessary Conditions and Sufficient Conditions3. Perturbation Theory; 4. Lagrangian Duality; 5. Geometric Interpretation; 6. Quadratic Programming; 7. Duality in Linear Programming; VI Simplex Method; 1. Introduction; 2. Extreme Points of Feasible Set; 3. Preliminaries to Simplex Method; 4. Phase II of Simplex Method; 5. Termination and Cycling; 6. Phase I of Simplex Method; 7. Revised Simplex Method; Bibliography; Index |
| Record Nr. | UNINA-9910829921703321 |
|
Berkovitz Leonard David <1924->
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| New York, : J. Wiley, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Convexity and optimization in R [superscript n] / / Leonard D. Berkovitz
| Convexity and optimization in R [superscript n] / / Leonard D. Berkovitz |
| Autore | Berkovitz Leonard David <1924-> |
| Pubbl/distr/stampa | New York, : J. Wiley, c2002 |
| Descrizione fisica | 1 online resource (283 p.) |
| Disciplina | 516/.08 |
| Collana | Pure and applied mathematicss |
| Soggetto topico |
Convex sets
Mathematical optimization |
| ISBN |
9786610367009
9781280367007 1280367008 9780470311820 0470311827 9780471461661 0471461660 9780471249702 047124970X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONVEXITY AND OPTIMIZATION IN R(n); CONTENTS; Preface; I Topics in Real Analysis; 1. Introduction; 2. Vectors in R(n); 3. Algebra of Sets; 4. Metric Topology of R(n); 5. Limits and Continuity; 6. Basic Property of Real Numbers; 7. Compactness; 8. Equivalent Norms and Cartesian Products; 9. Fundamental Existence Theorem; 10. Linear Transformations; 11. Differentiation in R(n); II Convex Sets in R(n); 1. Lines and Hyperplanes in R(n); 2. Properties of Convex Sets; 3. Separation Theorems; 4. Supporting Hyperplanes: Extreme Points; 5. Systems of Linear Inequalities: Theorems of the Alternative
6. Affine Geometry7. More on Separation and Support; III Convex Functions; 1. Definition and Elementary Properties; 2. Subgradients; 3. Differentiable Convex Functions; 4. Alternative Theorems for Convex Functions; 5. Application to Game Theory; IV Optimization Problems; 1. Introduction; 2. Differentiable Unconstrained Problems; 3. Optimization of Convex Functions; 4. Linear Programming Problems; 5. First-Order Conditions for Differentiable Nonlinear Programming Problems; 6. Second-Order Conditions; V Convex Programming and Duality; 1. Problem Statement 2. Necessary Conditions and Sufficient Conditions3. Perturbation Theory; 4. Lagrangian Duality; 5. Geometric Interpretation; 6. Quadratic Programming; 7. Duality in Linear Programming; VI Simplex Method; 1. Introduction; 2. Extreme Points of Feasible Set; 3. Preliminaries to Simplex Method; 4. Phase II of Simplex Method; 5. Termination and Cycling; 6. Phase I of Simplex Method; 7. Revised Simplex Method; Bibliography; Index |
| Record Nr. | UNINA-9911019207003321 |
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Berkovitz Leonard David <1924->
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| New York, : J. Wiley, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Convexity of Singular Affine Structures and Toric-Focus Integrable Hamiltonian Systems
| Convexity of Singular Affine Structures and Toric-Focus Integrable Hamiltonian Systems |
| Autore | Ratiu Tudor S |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2023 |
| Descrizione fisica | 1 online resource (102 pages) |
| Disciplina |
516/.08
516.08 |
| Altri autori (Persone) |
WacheuxChristophe
ZungNguyen Tien |
| Collana | Memoirs of the American Mathematical Society Series |
| Soggetto topico |
Convex domains
Affine differential geometry Hamiltonian systems Toric varieties Dynamical systems and ergodic theory -- Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems -- Completely integrable systems, topological structure of phase space, integratio Differential geometry -- Classical differential geometry -- Affine differential geometry Convex and discrete geometry -- General convexity -- Axiomatic and generalized convexity |
| ISBN | 1-4704-7540-5 |
| Classificazione | 37J3553A1552A01 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover -- Title page -- Chapter 1. Introduction -- Positive convexity results -- Negative convexity results -- Organization of the paper -- Acknowledgment -- Chapter 2. A brief overview of convexity in symplectic geometry and in integrable Hamiltonian systems -- 2.1. Kostant's Linear Convexity Theorem -- 2.2. Infinite dimensional Lie theory -- 2.3. "Linear" symplectic formulations -- 2.4. "Non-linear" symplectic formulations -- 2.5. Local-Global Convexity Principle -- 2.6. Convexity in integrable Hamiltonian systems -- Chapter 3. Toric-focus integrable Hamiltonian systems -- 3.1. Integrable systems -- 3.2. Local normal form of non-degenerate singularities -- 3.3. Semi-local structure of singularities -- 3.4. Topology and differential structure of the base space -- 3.5. Integral affine structure on the base space -- Chapter 4. Base spaces and affine manifolds with focus singularities -- 4.1. Monodromy and affine coordinates near elementary focus points -- 4.2. Affine coordinates near focus points in higher dimensions -- 4.3. Behavior of the affine structure near focus^{ } points -- 4.4. Definition of affine structures with focus points -- Chapter 5. Straight lines and convexity -- 5.1. Regular and singular straight lines -- 5.2. Singular straight lines in dimension 2 and branched extension -- 5.3. Straight lines in dimension near a focus point -- 5.4. Straight lines near a focus^{ } point -- 5.5. The notions of convexity and strong convexity -- Chapter 6. Local convexity at focus points -- 6.1. Convexity of focus boxes in dimension 2 -- 6.2. Convexity of focus boxes in higher dimensions -- 6.3. Existence of non-convex focus^{ } boxes -- Chapter 7. Global convexity -- 7.1. Local-global convexity principle -- 7.2. Angle variation of a curve on an affine surface -- 7.3. Convexity of compact affine surfaces with non-empty boundary.
7.4. Convexity in the non-compact proper case -- 7.5. Non-convex examples in the non-proper case -- 7.6. An affine black hole and non-convex ² -- 7.7. A globally convex ² example -- 7.8. Convexity of toric-focus base spaces in higher dimensions -- Bibliography -- Index -- Back Cover. |
| Record Nr. | UNINA-9910915797003321 |
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Ratiu Tudor S
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| Providence : , : American Mathematical Society, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Existence of Unimodular Triangulations-Positive Results
| Existence of Unimodular Triangulations-Positive Results |
| Autore | Haase Christian |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2021 |
| Descrizione fisica | 1 online resource (96 pages) |
| Disciplina | 516/.08 |
| Altri autori (Persone) |
PaffenholzAndreas
PiechnikLindsay C |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Convex polytopes
Triangularization (Mathematics) Combinatorial geometry Convex and discrete geometry -- Polytopes and polyhedra -- Lattice polytopes (including relations with commutative algebra and algebraic geometry) Convex and discrete geometry -- Polytopes and polyhedra -- $n$-dimensional polytopes Commutative algebra -- Arithmetic rings and other special rings -- Polynomial rings and ideals; rings of integer-valued polynomials |
| ISBN |
9781470465308
1470465302 |
| Classificazione | 52B2052B1113F20 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Title page -- Chapter 1. Introduction -- 1.1. What? -- 1.2. Why? Who? -- 1.3. What is new? -- 1.4. What is not here -- 1.5. What is left? -- Chapter 2. Methods -- 2.1. Pulling Triangulations -- 2.2. Push-forward subdivisions and pull-back subdivisions -- 2.3. Joins and (Fiber) Products -- 2.4. Toric Gröbner Bases -- Chapter 3. Examples -- 3.1. Polytopes cut out by roots -- 3.2. Polytopes spanned by roots -- 3.3. Other Graph Polytopes -- 3.4. Lecture hall polytopes -- 3.5. Smooth Polytopes -- 3.6. The Gröbner fan and the toric Hilbert scheme -- Chapter 4. Dilations and the KMW Theorem -- 4.1. KMW numbers in dimension three -- 4.2. Canonical triangulation of a dilated simplex -- 4.3. Reducing the volume of simplices in the dilation -- 4.4. A proof of the KMW Theorem -- 4.5. An effective version of the KMW-Theorem -- Bibliography -- Back Cover. |
| Record Nr. | UNINA-9910970826703321 |
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Haase Christian
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| Providence : , : American Mathematical Society, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Geometry of convex sets / / I.E. Leonard, J.E. Lewis
| Geometry of convex sets / / I.E. Leonard, J.E. Lewis |
| Autore | Leonard I. Ed. <1938-> |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2016 |
| Descrizione fisica | 1 online resource (414 p.) |
| Disciplina | 516/.08 |
| Soggetto topico |
Convex sets
Geometry Hypersurfaces Hyperspace |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-119-02269-X
1-119-02268-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910460366103321 |
|
Leonard I. Ed. <1938->
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| Hoboken, New Jersey : , : Wiley, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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