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Gröbner bases in control theory and signal processing [[electronic resource] /] / edited by Hyungju Park, Georg Regensburger
| Gröbner bases in control theory and signal processing [[electronic resource] /] / edited by Hyungju Park, Georg Regensburger |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, c2007 |
| Descrizione fisica | 1 online resource (260 p.) |
| Disciplina | 512.2 |
| Altri autori (Persone) |
ParkHyungju (Hyungju Alan)
RegensburgerGeorg |
| Collana | Radon series on computational and applied mathematics |
| Soggetto topico |
Gröbner bases
Control theory Signal processing |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-090974-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface / Park, Hyungju / Regensburger, Georg -- Table of Contents -- Two decades (1985-2005) of Gröbner bases in multidimensional systems / Bose, N. K. -- Applications of the Quillen-Suslin theorem to multidimensional systems theory / Fabiańska, Anna / Quadrat, Alban -- Normal forms in statistical signal processing / Lebrun, Jerome -- Obstructions to genericity in study of parametric problems in control theory / Levandovskyy, Viktor / Zerz, Eva -- A survey of (BIBO) stability and (proper) stabilization of multidimensional input/output systems / Oberst, Ulrich / Scheicher, Martin -- Applications of filter coefficients and wavelets parametrized by moments / Regensburger, Georg -- Applications of Gröbner bases in synthesis of multidimensional control systems / Xu, Li -- State representations of time-varying linear systems / Zerz, Eva |
| Record Nr. | UNINA-9910463733703321 |
| Berlin ; ; New York, : Walter de Gruyter, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Gröbner bases in control theory and signal processing [[electronic resource] /] / edited by Hyungju Park, Georg Regensburger
| Gröbner bases in control theory and signal processing [[electronic resource] /] / edited by Hyungju Park, Georg Regensburger |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, c2007 |
| Descrizione fisica | 1 online resource (260 p.) |
| Disciplina | 512.2 |
| Altri autori (Persone) |
ParkHyungju (Hyungju Alan)
RegensburgerGeorg |
| Collana | Radon series on computational and applied mathematics |
| Soggetto topico |
Gröbner bases
Control theory Signal processing |
| Soggetto non controllato |
Algebras
base control theory signal theory |
| ISBN | 3-11-090974-X |
| Classificazione | SD 2006 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface / Park, Hyungju / Regensburger, Georg -- Table of Contents -- Two decades (1985-2005) of Gröbner bases in multidimensional systems / Bose, N. K. -- Applications of the Quillen-Suslin theorem to multidimensional systems theory / Fabiańska, Anna / Quadrat, Alban -- Normal forms in statistical signal processing / Lebrun, Jerome -- Obstructions to genericity in study of parametric problems in control theory / Levandovskyy, Viktor / Zerz, Eva -- A survey of (BIBO) stability and (proper) stabilization of multidimensional input/output systems / Oberst, Ulrich / Scheicher, Martin -- Applications of filter coefficients and wavelets parametrized by moments / Regensburger, Georg -- Applications of Gröbner bases in synthesis of multidimensional control systems / Xu, Li -- State representations of time-varying linear systems / Zerz, Eva |
| Record Nr. | UNINA-9910788424803321 |
| Berlin ; ; New York, : Walter de Gruyter, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Gröbner bases in control theory and signal processing [[electronic resource] /] / edited by Hyungju Park, Georg Regensburger
| Gröbner bases in control theory and signal processing [[electronic resource] /] / edited by Hyungju Park, Georg Regensburger |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, c2007 |
| Descrizione fisica | 1 online resource (260 p.) |
| Disciplina | 512.2 |
| Altri autori (Persone) |
ParkHyungju (Hyungju Alan)
RegensburgerGeorg |
| Collana | Radon series on computational and applied mathematics |
| Soggetto topico |
Gröbner bases
Control theory Signal processing |
| Soggetto non controllato |
Algebras
base control theory signal theory |
| ISBN | 3-11-090974-X |
| Classificazione | SD 2006 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface / Park, Hyungju / Regensburger, Georg -- Table of Contents -- Two decades (1985-2005) of Gröbner bases in multidimensional systems / Bose, N. K. -- Applications of the Quillen-Suslin theorem to multidimensional systems theory / Fabiańska, Anna / Quadrat, Alban -- Normal forms in statistical signal processing / Lebrun, Jerome -- Obstructions to genericity in study of parametric problems in control theory / Levandovskyy, Viktor / Zerz, Eva -- A survey of (BIBO) stability and (proper) stabilization of multidimensional input/output systems / Oberst, Ulrich / Scheicher, Martin -- Applications of filter coefficients and wavelets parametrized by moments / Regensburger, Georg -- Applications of Gröbner bases in synthesis of multidimensional control systems / Xu, Li -- State representations of time-varying linear systems / Zerz, Eva |
| Record Nr. | UNINA-9910820491503321 |
| Berlin ; ; New York, : Walter de Gruyter, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Gröbner bases in ring theory [[electronic resource] /] / Huishi Li
| Gröbner bases in ring theory [[electronic resource] /] / Huishi Li |
| Autore | Li Huishi |
| Pubbl/distr/stampa | Singapore, : World Scientific, c2012 |
| Descrizione fisica | 1 online resource (295 p.) |
| Disciplina | 512.4 |
| Soggetto topico |
Gröbner bases
Rings (Algebra) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-4365-14-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; 0. Introduction; 1. Preliminaries; 1.1 Presenting Algebras by Relations; 1.2 S-Graded Algebras and Modules; 1.3 -Filtered Algebras and Modules; 2. The -Leading Homogeneous Algebra A LH; 2.1 Recognizing A via G (A): Part 1; 2.2 Recognizing A via G (A): Part 2; 2.3 The -Graded Isomorphism A LH G (A); 2.4 Recognizing A via A LH; 3. Grobner Bases: Conception and Construction; 3.1 Monomial Ordering and Admissible System; 3.2 Division Algorithm and Grobner Basis; 3.3 Grobner Bases and Normal Elements; 3.4 Grobner Bases w.r.t. Skew Multiplicative K-Bases
3.5 Grobner Bases in KhX1, . . . ,Xni and KQ3.6 (De)homogenized Grobner Bases; 3.7 dh-Closed Homogeneous Grobner Bases; 4. Grobner Basis Theory Meets PBW Theory; 4.1 -Standard Basis and -PBW Isomorphism; 4.2 Realizing - PBW Isomorphism by Grobner Basis; 4.3 Classical PBW K-Bases vs Grobner Bases; 4.4 Solvable Polynomial Algebras Revisited; 5. Using AB LH in Terms of Grobner Bases; 5.1 The Working Strategy; 5.2 Ufnarovski Graph; 5.3 Determination of Gelfand-Kirillov Dimension; 5.4 Recognizing Noetherianity; 5.5 Recognizing (Semi-)Primeness and PI-Property 5.6 Anick's Resolution over Monomial Algebras5.7 Recognizing Finiteness of Global Dimension; 5.8 Determination of Hilbert Series; 6. Recognizing (Non-)Homogeneous p-Koszulity via ABLH; 6.1 (Non-)Homogeneous p-Koszul Algebras; 6.2 Anick's Resolution and Homogeneous p-Koszulity; 6.3 Working in Terms of Grobner Bases; 7. A Study of Rees Algebra by Grobner Bases; 7.1 Defining A by G*; 7.2 Defining A by G; 7.3 Recognizing Structural Properties of A via G; 7.4 An Application to Regular Central Extensions; 7.5 Algebras Defined by dh-Closed Homogeneous Grobner Bases; 8. Looking for More Grobner Bases 8.1 Lifting (Finite) Grobner Bases from On(λji)8.2 Lifting (Finite) Grobner Bases from a Class of Algebras; 8.3 New Examples of Grobner Basis Theory; 8.4 Skew 2-Nomial Algebras; 8.5 Almost Skew 2-Nomial Algebras; Bibliography; Index |
| Record Nr. | UNINA-9910457538003321 |
Li Huishi
|
||
| Singapore, : World Scientific, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Gröbner bases in ring theory [[electronic resource] /] / Huishi Li
| Gröbner bases in ring theory [[electronic resource] /] / Huishi Li |
| Autore | Li Huishi |
| Pubbl/distr/stampa | Singapore, : World Scientific, c2012 |
| Descrizione fisica | 1 online resource (295 p.) |
| Disciplina | 512.4 |
| Soggetto topico |
Gröbner bases
Rings (Algebra) |
| ISBN | 981-4365-14-9 |
| Classificazione | SK 230 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; 0. Introduction; 1. Preliminaries; 1.1 Presenting Algebras by Relations; 1.2 S-Graded Algebras and Modules; 1.3 -Filtered Algebras and Modules; 2. The -Leading Homogeneous Algebra A LH; 2.1 Recognizing A via G (A): Part 1; 2.2 Recognizing A via G (A): Part 2; 2.3 The -Graded Isomorphism A LH G (A); 2.4 Recognizing A via A LH; 3. Grobner Bases: Conception and Construction; 3.1 Monomial Ordering and Admissible System; 3.2 Division Algorithm and Grobner Basis; 3.3 Grobner Bases and Normal Elements; 3.4 Grobner Bases w.r.t. Skew Multiplicative K-Bases
3.5 Grobner Bases in KhX1, . . . ,Xni and KQ3.6 (De)homogenized Grobner Bases; 3.7 dh-Closed Homogeneous Grobner Bases; 4. Grobner Basis Theory Meets PBW Theory; 4.1 -Standard Basis and -PBW Isomorphism; 4.2 Realizing - PBW Isomorphism by Grobner Basis; 4.3 Classical PBW K-Bases vs Grobner Bases; 4.4 Solvable Polynomial Algebras Revisited; 5. Using AB LH in Terms of Grobner Bases; 5.1 The Working Strategy; 5.2 Ufnarovski Graph; 5.3 Determination of Gelfand-Kirillov Dimension; 5.4 Recognizing Noetherianity; 5.5 Recognizing (Semi-)Primeness and PI-Property 5.6 Anick's Resolution over Monomial Algebras5.7 Recognizing Finiteness of Global Dimension; 5.8 Determination of Hilbert Series; 6. Recognizing (Non-)Homogeneous p-Koszulity via ABLH; 6.1 (Non-)Homogeneous p-Koszul Algebras; 6.2 Anick's Resolution and Homogeneous p-Koszulity; 6.3 Working in Terms of Grobner Bases; 7. A Study of Rees Algebra by Grobner Bases; 7.1 Defining A by G*; 7.2 Defining A by G; 7.3 Recognizing Structural Properties of A via G; 7.4 An Application to Regular Central Extensions; 7.5 Algebras Defined by dh-Closed Homogeneous Grobner Bases; 8. Looking for More Grobner Bases 8.1 Lifting (Finite) Grobner Bases from On(λji)8.2 Lifting (Finite) Grobner Bases from a Class of Algebras; 8.3 New Examples of Grobner Basis Theory; 8.4 Skew 2-Nomial Algebras; 8.5 Almost Skew 2-Nomial Algebras; Bibliography; Index |
| Record Nr. | UNINA-9910779074403321 |
|
Li Huishi
|
||
| Singapore, : World Scientific, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Gröbner bases in ring theory [[electronic resource] /] / Huishi Li
| Gröbner bases in ring theory [[electronic resource] /] / Huishi Li |
| Autore | Li Huishi |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Singapore, : World Scientific, c2012 |
| Descrizione fisica | 1 online resource (295 p.) |
| Disciplina | 512.4 |
| Soggetto topico |
Gröbner bases
Rings (Algebra) |
| ISBN | 981-4365-14-9 |
| Classificazione | SK 230 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; 0. Introduction; 1. Preliminaries; 1.1 Presenting Algebras by Relations; 1.2 S-Graded Algebras and Modules; 1.3 -Filtered Algebras and Modules; 2. The -Leading Homogeneous Algebra A LH; 2.1 Recognizing A via G (A): Part 1; 2.2 Recognizing A via G (A): Part 2; 2.3 The -Graded Isomorphism A LH G (A); 2.4 Recognizing A via A LH; 3. Grobner Bases: Conception and Construction; 3.1 Monomial Ordering and Admissible System; 3.2 Division Algorithm and Grobner Basis; 3.3 Grobner Bases and Normal Elements; 3.4 Grobner Bases w.r.t. Skew Multiplicative K-Bases
3.5 Grobner Bases in KhX1, . . . ,Xni and KQ3.6 (De)homogenized Grobner Bases; 3.7 dh-Closed Homogeneous Grobner Bases; 4. Grobner Basis Theory Meets PBW Theory; 4.1 -Standard Basis and -PBW Isomorphism; 4.2 Realizing - PBW Isomorphism by Grobner Basis; 4.3 Classical PBW K-Bases vs Grobner Bases; 4.4 Solvable Polynomial Algebras Revisited; 5. Using AB LH in Terms of Grobner Bases; 5.1 The Working Strategy; 5.2 Ufnarovski Graph; 5.3 Determination of Gelfand-Kirillov Dimension; 5.4 Recognizing Noetherianity; 5.5 Recognizing (Semi-)Primeness and PI-Property 5.6 Anick's Resolution over Monomial Algebras5.7 Recognizing Finiteness of Global Dimension; 5.8 Determination of Hilbert Series; 6. Recognizing (Non-)Homogeneous p-Koszulity via ABLH; 6.1 (Non-)Homogeneous p-Koszul Algebras; 6.2 Anick's Resolution and Homogeneous p-Koszulity; 6.3 Working in Terms of Grobner Bases; 7. A Study of Rees Algebra by Grobner Bases; 7.1 Defining A by G*; 7.2 Defining A by G; 7.3 Recognizing Structural Properties of A via G; 7.4 An Application to Regular Central Extensions; 7.5 Algebras Defined by dh-Closed Homogeneous Grobner Bases; 8. Looking for More Grobner Bases 8.1 Lifting (Finite) Grobner Bases from On(λji)8.2 Lifting (Finite) Grobner Bases from a Class of Algebras; 8.3 New Examples of Grobner Basis Theory; 8.4 Skew 2-Nomial Algebras; 8.5 Almost Skew 2-Nomial Algebras; Bibliography; Index |
| Record Nr. | UNINA-9910823873603321 |
|
Li Huishi
|
||
| Singapore, : World Scientific, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Gröbner bases in symbolic analysis [[electronic resource] /] / edited by Markus Rosenkranz, Dongming Wang
| Gröbner bases in symbolic analysis [[electronic resource] /] / edited by Markus Rosenkranz, Dongming Wang |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter De Gruyter, 2007 |
| Descrizione fisica | 1 online resource (360 p.) |
| Disciplina |
512.44
515.35 |
| Altri autori (Persone) |
RosenkranzMarkus <1971->
WangDongming <1961-> |
| Collana | Radon series on computational and applied mathematics |
| Soggetto topico |
Gröbner bases
Differential equations |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-092275-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface / Rosenkranz, Markus / Wang, Dongming -- Contents -- Gröbner Bases in Algebraic Analysis: New Perspectives for Applications / Pommaret, Jean-François -- Solving Systems of Linear Partial Difference and Differential Equations with Constant Coefficients Using Gröbner Bases / Oberst, Ulrich / Pauer, Franz -- Computation of the Strength of Systems of Difference Equations via Generalized Gröbner Bases / Levin, Alexander -- Editors' Note in Memory of Giuseppa Carrà Ferro -- A Survey on Differential Gröbner Bases / Ferro, Giuseppa Carrà -- Differential Elimination and Biological Modelling / Boulier, François -- Janet Bases and Applications / Robertz, Daniel -- Spencer Cohomology, Differential Equations, and Pommaret Bases / Seiler, Werner M. -- Differential Invariants for Lie Pseudo-groups / Olver, Peter / Pohjanpelto, Juha -- Invariant Theory and Differential Operators / Traves, William N. -- Compatibility Complexes for Overdetermined Boundary Problems / Krupchyk, Katsiaryna / Tuomela, Jukka -- On Initial Value Problems for Ordinary Differential-Algebraic Equations / Pritchard, F. Leon / Sit, William Y. -- Index |
| Record Nr. | UNINA-9910463734003321 |
| Berlin ; ; New York, : Walter De Gruyter, 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Gröbner bases in symbolic analysis [[electronic resource] /] / edited by Markus Rosenkranz, Dongming Wang
| Gröbner bases in symbolic analysis [[electronic resource] /] / edited by Markus Rosenkranz, Dongming Wang |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter De Gruyter, 2007 |
| Descrizione fisica | 1 online resource (360 p.) |
| Disciplina |
512.44
515.35 |
| Altri autori (Persone) |
RosenkranzMarkus <1971->
WangDongming <1961-> |
| Collana | Radon series on computational and applied mathematics |
| Soggetto topico |
Gröbner bases
Differential equations |
| Soggetto non controllato |
Algebras
base ideal polynomial sybolic computation |
| ISBN | 3-11-092275-4 |
| Classificazione | SD 2006 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface / Rosenkranz, Markus / Wang, Dongming -- Contents -- Gröbner Bases in Algebraic Analysis: New Perspectives for Applications / Pommaret, Jean-François -- Solving Systems of Linear Partial Difference and Differential Equations with Constant Coefficients Using Gröbner Bases / Oberst, Ulrich / Pauer, Franz -- Computation of the Strength of Systems of Difference Equations via Generalized Gröbner Bases / Levin, Alexander -- Editors' Note in Memory of Giuseppa Carrà Ferro -- A Survey on Differential Gröbner Bases / Ferro, Giuseppa Carrà -- Differential Elimination and Biological Modelling / Boulier, François -- Janet Bases and Applications / Robertz, Daniel -- Spencer Cohomology, Differential Equations, and Pommaret Bases / Seiler, Werner M. -- Differential Invariants for Lie Pseudo-groups / Olver, Peter / Pohjanpelto, Juha -- Invariant Theory and Differential Operators / Traves, William N. -- Compatibility Complexes for Overdetermined Boundary Problems / Krupchyk, Katsiaryna / Tuomela, Jukka -- On Initial Value Problems for Ordinary Differential-Algebraic Equations / Pritchard, F. Leon / Sit, William Y. -- Index |
| Record Nr. | UNINA-9910788424903321 |
| Berlin ; ; New York, : Walter De Gruyter, 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Gröbner bases in symbolic analysis [[electronic resource] /] / edited by Markus Rosenkranz, Dongming Wang
| Gröbner bases in symbolic analysis [[electronic resource] /] / edited by Markus Rosenkranz, Dongming Wang |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter De Gruyter, 2007 |
| Descrizione fisica | 1 online resource (360 p.) |
| Disciplina |
512.44
515.35 |
| Altri autori (Persone) |
RosenkranzMarkus <1971->
WangDongming <1961-> |
| Collana | Radon series on computational and applied mathematics |
| Soggetto topico |
Gröbner bases
Differential equations |
| Soggetto non controllato |
Algebras
base ideal polynomial sybolic computation |
| ISBN | 3-11-092275-4 |
| Classificazione | SD 2006 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface / Rosenkranz, Markus / Wang, Dongming -- Contents -- Gröbner Bases in Algebraic Analysis: New Perspectives for Applications / Pommaret, Jean-François -- Solving Systems of Linear Partial Difference and Differential Equations with Constant Coefficients Using Gröbner Bases / Oberst, Ulrich / Pauer, Franz -- Computation of the Strength of Systems of Difference Equations via Generalized Gröbner Bases / Levin, Alexander -- Editors' Note in Memory of Giuseppa Carrà Ferro -- A Survey on Differential Gröbner Bases / Ferro, Giuseppa Carrà -- Differential Elimination and Biological Modelling / Boulier, François -- Janet Bases and Applications / Robertz, Daniel -- Spencer Cohomology, Differential Equations, and Pommaret Bases / Seiler, Werner M. -- Differential Invariants for Lie Pseudo-groups / Olver, Peter / Pohjanpelto, Juha -- Invariant Theory and Differential Operators / Traves, William N. -- Compatibility Complexes for Overdetermined Boundary Problems / Krupchyk, Katsiaryna / Tuomela, Jukka -- On Initial Value Problems for Ordinary Differential-Algebraic Equations / Pritchard, F. Leon / Sit, William Y. -- Index |
| Record Nr. | UNINA-9910807328903321 |
| Berlin ; ; New York, : Walter De Gruyter, 2007 | ||
| 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 |
| 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 |
| Soggetto genere / forma | Electronic books. |
| 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-9910452084603321 |
| 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)