05339nam 2200661 a 450 991080974580332120240516164330.01-280-66987-X9786613646804981-4383-46-5(CKB)2550000000101406(EBL)919125(OCoLC)794328416(SSID)ssj0000656336(PQKBManifestationID)12257105(PQKBTitleCode)TC0000656336(PQKBWorkID)10631529(PQKB)10388982(MiAaPQ)EBC919125(WSP)00002673 (Au-PeEL)EBL919125(CaPaEBR)ebr10563499(CaONFJC)MIL364680(iGPub)WSPCB0002891(EXLCZ)99255000000010140620120611d2012 uy 0engur|n|---|||||txtccrHarmony of Gröbner bases and the modern industrial society the second CREST-SBM International Conference, Osaka, Japan, 28 June-2 July 2010 /editor, Takayuki Hibi1st ed.Singapore World Scientific Pub. Co.20121 online resource (385 p.)Description based upon print version of record.981-4383-45-7 Includes bibliographical references and index.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. Introduction2. 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 criterion2.3. 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 basis3.2. 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; ReferencesCones of Elementary Imsets and Supermodular Functions: A Review and Some New Results T. Kashimura, T. Sei, A. Takemura and K. TanakaThis volume consists of research papers and expository survey articles presented by the invited speakers of the conference on "Harmony of Gröbner Bases and the Modern Industrial Society". Topics include computational commutative algebra, algebraic statistics, algorithms of D-modules and combinatorics. This volume also provides current trends on Gröbner bases and will stimulate further development of many research areas surrounding Gröbner bases.Gröbner basesCongressesDeveloped countriesCongressesGröbner bases512.44Hibi Takayuki509877CREST-SBM International ConferenceMiAaPQMiAaPQMiAaPQBOOK9910809745803321Harmony of Gröbner bases and the modern industrial society4102261UNINA