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Harmony of Gröbner bases and the modern industrial society [[electronic resource] ] : the second CREST-SBM International Conference, Osaka, Japan, 28 June-2 July 2010 / / editor, Takayuki Hibi
| Harmony of Gröbner bases and the modern industrial society [[electronic resource] ] : the second CREST-SBM International Conference, Osaka, Japan, 28 June-2 July 2010 / / editor, Takayuki Hibi |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2012 |
| Descrizione fisica | 1 online resource (385 p.) |
| Disciplina | 512.44 |
| Altri autori (Persone) | HibiTakayuki |
| Soggetto topico | Gröbner bases |
| ISBN |
1-280-66987-X
9786613646804 981-4383-46-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; CONTENTS; Multidegree for Bifiltered D-modules and Hypergeometric Systems R. Arcadias; Introduction; 1. Bifiltered free resolution of D-modules; 2. Multidegree for bifiltered D-modules; 3. Examples from the theory of hypergeometric systems; 3.1. V -filtration along the origin; 3.2. V -filtration along coordinate hyperplanes; 3.3. Dependency of the multidegree on the parameters; 3.4. Positivity; 4. Proof of Theorem 2.1; Acknowledgements; References; Desingularization Algorithms: A Comparison from the Practical Point of View R. Blanco and A. Fruhbis-Kruger; 1. Introduction
2. Algorithms re.ning Hironaka's approach in the general case3. Combinatorial algorithms for the binomial case; 4. Algorithmic resolution in low dimensions; 4.1. Resolution of surfaces by Jung's approach; 4.2. Beyond the geometric case: Lipman's construction for two dimensional schemes; 5. Comparisons and timings; Acknowledgments; References; Computing Localizations Iteratively F. J. Castro-Jimenez and A. Leykin; Introduction; 1. Preliminaries; 1.1. Weyl algebra; 1.2. Grobner bases; 1.3. Holonomic D-modules; 2. Iterative algorithm; 2.1. Iterative approach; 2.2. Stopping criterion 2.3. Annihilator order of a planar curve3. Discussion and open problems; 3.1. Isolated hypersurface singularities; 3.2. Weyl closure; 4. Acknowledgements; References; KNOPPIX/Math: A Live System for Mathematics T. Hamada and KNOPPIX/Math Committers; 1. Introduction; 2. History; 3. The objectives of KNOPPIX/Math; 4. How to boot KNOPPIX/Math; References; Running Markov Chain without Markov Basis H. Hara, S. Aoki and A. Takemura; 1. Introduction; 2. Markov basis and lattice basis; 3. Sampling contingency tables with a lattice basis; 3.1. Generating moves by using a lattice basis 3.2. A lattice basis for higher Lawrence configuration4. Numerical experiments; 4.1. No-three-factor interaction model; 4.2. Discrete logistic regression model; References; Degree Bounds for a Minimal Markov Basis for the Threestate Toric Homogeneous Markov Chain Model D. Haws, A. Martın del Campo and R. Yoshida; 1. Introduction; 2. Notation; 2.1. Model (a); 2.2. Model (b); 2.3. Model (c); 2.4. Model (d); 2.5. Sufficient statistics, ideals, and Markov basis; 2.6. State graph; 3. Smith Normal Form; 4. Semigroup; 4.1. Model (a); 4.2. Model (b); 4.3. Model (c); 4.4. Model (d) 5. Polytope Structure6. Computational Results; 7. Conclusions and Open Problems; Appendix A. Supporting Hyperplanes; References; First Steps toward the Geometry of Cophylogeny P. Huggins, M. Owen and R. Yoshida; 1. Introduction; 2. Spaces of cophylogenetic trees; 3. Cophylogenetic reconstruction; 3.1. Retraction onto spaces of cophylogenetic trees; 3.2. Balanced minimum coevolution; 4. Cophylogenetic invariants; 5. Open problems; 6. Proof of Theorem 2.2; Acknowledgements; References Cones of Elementary Imsets and Supermodular Functions: A Review and Some New Results T. Kashimura, T. Sei, A. Takemura and K. Tanaka |
| Record Nr. | UNINA-9910779006003321 |
| Singapore, : World Scientific Pub. Co., 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Harmony of Gröbner bases and the modern industrial society [[electronic resource] ] : the second CREST-SBM International Conference, Osaka, Japan, 28 June-2 July 2010 / / editor, Takayuki Hibi
| Harmony of Gröbner bases and the modern industrial society [[electronic resource] ] : the second CREST-SBM International Conference, Osaka, Japan, 28 June-2 July 2010 / / editor, Takayuki Hibi |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2012 |
| Descrizione fisica | 1 online resource (385 p.) |
| Disciplina | 512.44 |
| Altri autori (Persone) | HibiTakayuki |
| Soggetto topico | Gröbner bases |
| ISBN |
1-280-66987-X
9786613646804 981-4383-46-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; CONTENTS; Multidegree for Bifiltered D-modules and Hypergeometric Systems R. Arcadias; Introduction; 1. Bifiltered free resolution of D-modules; 2. Multidegree for bifiltered D-modules; 3. Examples from the theory of hypergeometric systems; 3.1. V -filtration along the origin; 3.2. V -filtration along coordinate hyperplanes; 3.3. Dependency of the multidegree on the parameters; 3.4. Positivity; 4. Proof of Theorem 2.1; Acknowledgements; References; Desingularization Algorithms: A Comparison from the Practical Point of View R. Blanco and A. Fruhbis-Kruger; 1. Introduction
2. Algorithms re.ning Hironaka's approach in the general case3. Combinatorial algorithms for the binomial case; 4. Algorithmic resolution in low dimensions; 4.1. Resolution of surfaces by Jung's approach; 4.2. Beyond the geometric case: Lipman's construction for two dimensional schemes; 5. Comparisons and timings; Acknowledgments; References; Computing Localizations Iteratively F. J. Castro-Jimenez and A. Leykin; Introduction; 1. Preliminaries; 1.1. Weyl algebra; 1.2. Grobner bases; 1.3. Holonomic D-modules; 2. Iterative algorithm; 2.1. Iterative approach; 2.2. Stopping criterion 2.3. Annihilator order of a planar curve3. Discussion and open problems; 3.1. Isolated hypersurface singularities; 3.2. Weyl closure; 4. Acknowledgements; References; KNOPPIX/Math: A Live System for Mathematics T. Hamada and KNOPPIX/Math Committers; 1. Introduction; 2. History; 3. The objectives of KNOPPIX/Math; 4. How to boot KNOPPIX/Math; References; Running Markov Chain without Markov Basis H. Hara, S. Aoki and A. Takemura; 1. Introduction; 2. Markov basis and lattice basis; 3. Sampling contingency tables with a lattice basis; 3.1. Generating moves by using a lattice basis 3.2. A lattice basis for higher Lawrence configuration4. Numerical experiments; 4.1. No-three-factor interaction model; 4.2. Discrete logistic regression model; References; Degree Bounds for a Minimal Markov Basis for the Threestate Toric Homogeneous Markov Chain Model D. Haws, A. Martın del Campo and R. Yoshida; 1. Introduction; 2. Notation; 2.1. Model (a); 2.2. Model (b); 2.3. Model (c); 2.4. Model (d); 2.5. Sufficient statistics, ideals, and Markov basis; 2.6. State graph; 3. Smith Normal Form; 4. Semigroup; 4.1. Model (a); 4.2. Model (b); 4.3. Model (c); 4.4. Model (d) 5. Polytope Structure6. Computational Results; 7. Conclusions and Open Problems; Appendix A. Supporting Hyperplanes; References; First Steps toward the Geometry of Cophylogeny P. Huggins, M. Owen and R. Yoshida; 1. Introduction; 2. Spaces of cophylogenetic trees; 3. Cophylogenetic reconstruction; 3.1. Retraction onto spaces of cophylogenetic trees; 3.2. Balanced minimum coevolution; 4. Cophylogenetic invariants; 5. Open problems; 6. Proof of Theorem 2.2; Acknowledgements; References Cones of Elementary Imsets and Supermodular Functions: A Review and Some New Results T. Kashimura, T. Sei, A. Takemura and K. Tanaka |
| Record Nr. | UNINA-9910809745803321 |
| Singapore, : World Scientific Pub. Co., 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
-
Gröbner bases
(12)
- Control theory (3)
- Differential equations (3)
- Rings (Algebra) (3)
- Signal processing (3)