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Tropical and idempotent mathematics : International Workshop Tropical-07, Tropical and idempotent mathematics, August 25-30, 2007, Independent University of Moscow and Laboratory J.-V. Poncelet / / G.L. Litvinov, S.N. Sergeev, editors
| Tropical and idempotent mathematics : International Workshop Tropical-07, Tropical and idempotent mathematics, August 25-30, 2007, Independent University of Moscow and Laboratory J.-V. Poncelet / / G.L. Litvinov, S.N. Sergeev, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2009] |
| Descrizione fisica | 1 online resource (394 p.) |
| Disciplina | 516.3/5 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Idempotents
Tropical geometry Mathematical physics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-8174-4
0-8218-4782-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Tropical Convex Hull Computations""""Complex Roots of Systems of Tropical Equations and Stability of Electrical Power Networks""; ""Dequantization, Statistical Mechanics and Econophysics""; ""Graph Selectors and the Max-Plus Finite Element Method""; ""Complexity Reduction, Cornices and Pruning""; ""Tropical Analysis of Plurisubharmonic Singularities""; ""Multiorder, Kleene Stars and Cyclic Projectors in the Geometry of Max Cones""; ""A Tropical Version of the Schauder Fixed Point Theorem""; ""Tropical Cones Defined by Max-linear Inequalities""
""Minimum Representing Measures in Idempotent Analysis"" |
| Record Nr. | UNINA-9910481000803321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2009] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Tropical and idempotent mathematics : International Workshop Tropical-07, Tropical and idempotent mathematics, August 25-30, 2007, Independent University of Moscow and Laboratory J.-V. Poncelet / / G.L. Litvinov, S.N. Sergeev, editors
| Tropical and idempotent mathematics : International Workshop Tropical-07, Tropical and idempotent mathematics, August 25-30, 2007, Independent University of Moscow and Laboratory J.-V. Poncelet / / G.L. Litvinov, S.N. Sergeev, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2009] |
| Descrizione fisica | 1 online resource (394 p.) |
| Disciplina | 516.3/5 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Idempotents
Tropical geometry Mathematical physics |
| ISBN |
0-8218-8174-4
0-8218-4782-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Tropical Convex Hull Computations -- Complex Roots of Systems of Tropical Equations and Stability of Electrical Power Networks -- Dequantization, Statistical Mechanics and Econophysics -- Graph Selectors and the Max-Plus Finite Element Method -- Complexity Reduction, Cornices and Pruning -- Tropical Analysis of Plurisubharmonic Singularities -- Multiorder, Kleene Stars and Cyclic Projectors in the Geometry of Max Cones -- A Tropical Version of the Schauder Fixed Point Theorem -- Tropical Cones Defined by Max-linear Inequalities -- Minimum Representing Measures in Idempotent Analysis. |
| Record Nr. | UNINA-9910788798103321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2009] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Tropical and idempotent mathematics : International Workshop Tropical-07, Tropical and idempotent mathematics, August 25-30, 2007, Independent University of Moscow and Laboratory J.-V. Poncelet / / G.L. Litvinov, S.N. Sergeev, editors
| Tropical and idempotent mathematics : International Workshop Tropical-07, Tropical and idempotent mathematics, August 25-30, 2007, Independent University of Moscow and Laboratory J.-V. Poncelet / / G.L. Litvinov, S.N. Sergeev, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2009] |
| Descrizione fisica | 1 online resource (394 p.) |
| Disciplina | 516.3/5 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Idempotents
Tropical geometry Mathematical physics |
| ISBN |
0-8218-8174-4
0-8218-4782-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Tropical Convex Hull Computations -- Complex Roots of Systems of Tropical Equations and Stability of Electrical Power Networks -- Dequantization, Statistical Mechanics and Econophysics -- Graph Selectors and the Max-Plus Finite Element Method -- Complexity Reduction, Cornices and Pruning -- Tropical Analysis of Plurisubharmonic Singularities -- Multiorder, Kleene Stars and Cyclic Projectors in the Geometry of Max Cones -- A Tropical Version of the Schauder Fixed Point Theorem -- Tropical Cones Defined by Max-linear Inequalities -- Minimum Representing Measures in Idempotent Analysis. |
| Record Nr. | UNINA-9910809226103321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2009] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Tropical and idempotent mathematics and applications : International Workshop on Tropical and Idempotent Mathematics, August 26-31, 2012, Independent University, Moscow, Russia / / G. L. Litvinov, S. N. Sergeev, editors
| Tropical and idempotent mathematics and applications : International Workshop on Tropical and Idempotent Mathematics, August 26-31, 2012, Independent University, Moscow, Russia / / G. L. Litvinov, S. N. Sergeev, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (300 p.) |
| Disciplina | 516.3/5 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Tropical geometry
Geometry, Algebraic Idempotents |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-1684-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Preface""; ""In Memory of Grigory Litvinov""; ""Tropical Cramer determinants revisited""; ""1. Introduction""; ""2. Semirings with a symmetry and a modulus""; ""3. Combinatorial properties of semirings""; ""4. Elimination in semirings and Cramer theorem""; ""5. Existence of solutions of tropical linear systems""; ""6. Homogeneous systems: the generalized Gondran-Minoux theorem""; ""7. Systems of balances and intersections of signed hyperplanes""; ""8. Computing all Cramer Permanents: tropical Jacobi versus transportation approach""; ""9. Computing determinants""; ""Acknowledgment""
""References""""An approximation of Hopf-Lax type formula via idempotent analysis""; ""1. Introduction""; ""2. Basic notions of idempotent analysis""; ""3. Approximation formulas to solutions of Hamilton-Jacobi equations""; ""References""; ""Ideals of MV-semirings and MV-algebras""; ""1. Introduction""; ""2. Preliminaries""; ""3. Ideals, congruences and quotients""; ""4. The frame of radical ideals of an MV-semiring""; ""5. The frame of radical ideals of an MV-algebra""; ""6. The frames of open sets of \Spec( ) and of \Spec( )""; ""7. The frame of open sets of \Max( )""; ""References"" ""2. Optimal solution""""3. Approximate solution""; ""4. Conclusions""; ""References""; ""Algebraic structures of tropical mathematics""; ""1. Introduction""; ""2. Algebraic background""; ""3. The layered structure""; ""4. Matrices and linear algebra""; ""5. Identities of semirings, especially matrices""; ""References""; ""Parametric dequantization, tropical reduction of hyperfields and steady states of AC electrical networks""; ""1. Introduction""; ""2. Real tropical polynomials over a semifield""; ""3. Parametric limits of polynomials with various conditions on their coefficients"" ""4. Complex tropical polynomials over hyperfield and tropical reduction""""5. The power balance equations in AC network""; ""6. Tropical reduction of the power balance equations, Foster coefficients and minimal spanning trees""; ""7. Concluding remarks""; ""References""; ""A constrained tropical optimization problem: Complete solution and application example""; ""1. Introduction""; ""2. Preliminary definitions and results""; ""3. Linear inequalities""; ""4. An optimization problem""; ""5. Applications to optimal scheduling""; ""Acknowledgments""; ""References"" ""On the mathematical foundations of classical thermodynamics"" |
| Record Nr. | UNINA-9910480532703321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Tropical and idempotent mathematics and applications : International Workshop on Tropical and Idempotent Mathematics, August 26-31, 2012, Independent University, Moscow, Russia / / G. L. Litvinov, S. N. Sergeev, editors
| Tropical and idempotent mathematics and applications : International Workshop on Tropical and Idempotent Mathematics, August 26-31, 2012, Independent University, Moscow, Russia / / G. L. Litvinov, S. N. Sergeev, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (300 p.) |
| Disciplina | 516.3/5 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Tropical geometry
Geometry, Algebraic Idempotents |
| ISBN | 1-4704-1684-0 |
| Classificazione | 15A8016Y6005C2014T0552A3035F2190C4865H2092C4282B30 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- In Memory of Grigory Litvinov -- Tropical Cramer determinants revisited -- 1. Introduction -- 2. Semirings with a symmetry and a modulus -- 3. Combinatorial properties of semirings -- 4. Elimination in semirings and Cramer theorem -- 5. Existence of solutions of tropical linear systems -- 6. Homogeneous systems: the generalized Gondran-Minoux theorem -- 7. Systems of balances and intersections of signed hyperplanes -- 8. Computing all Cramer Permanents: tropical Jacobi versus transportation approach -- 9. Computing determinants -- Acknowledgment -- References -- An approximation of Hopf-Lax type formula via idempotent analysis -- 1. Introduction -- 2. Basic notions of idempotent analysis -- 3. Approximation formulas to solutions of Hamilton-Jacobi equations -- References -- Ideals of MV-semirings and MV-algebras -- 1. Introduction -- 2. Preliminaries -- 3. Ideals, congruences and quotients -- 4. The frame of radical ideals of an MV-semiring -- 5. The frame of radical ideals of an MV-algebra -- 6. The frames of open sets of \Spec( ) and of \Spec( ) -- 7. The frame of open sets of \Max( ) -- References -- 2. Optimal solution -- 3. Approximate solution -- 4. Conclusions -- References -- Algebraic structures of tropical mathematics -- 1. Introduction -- 2. Algebraic background -- 3. The layered structure -- 4. Matrices and linear algebra -- 5. Identities of semirings, especially matrices -- References -- Parametric dequantization, tropical reduction of hyperfields and steady states of AC electrical networks -- 1. Introduction -- 2. Real tropical polynomials over a semifield -- 3. Parametric limits of polynomials with various conditions on their coefficients -- 4. Complex tropical polynomials over hyperfield and tropical reduction -- 5. The power balance equations in AC network -- 6. Tropical reduction of the power balance equations, Foster coefficients and minimal spanning trees -- 7. Concluding remarks -- References -- A constrained tropical optimization problem: Complete solution and application example -- 1. Introduction -- 2. Preliminary definitions and results -- 3. Linear inequalities -- 4. An optimization problem -- 5. Applications to optimal scheduling -- Acknowledgments -- References -- On the mathematical foundations of classical thermodynamics. |
| Record Nr. | UNINA-9910788257003321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Tropical and idempotent mathematics and applications : International Workshop on Tropical and Idempotent Mathematics, August 26-31, 2012, Independent University, Moscow, Russia / / G. L. Litvinov, S. N. Sergeev, editors
| Tropical and idempotent mathematics and applications : International Workshop on Tropical and Idempotent Mathematics, August 26-31, 2012, Independent University, Moscow, Russia / / G. L. Litvinov, S. N. Sergeev, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (300 p.) |
| Disciplina | 516.3/5 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Tropical geometry
Geometry, Algebraic Idempotents |
| ISBN | 1-4704-1684-0 |
| Classificazione | 15A8016Y6005C2014T0552A3035F2190C4865H2092C4282B30 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- In Memory of Grigory Litvinov -- Tropical Cramer determinants revisited -- 1. Introduction -- 2. Semirings with a symmetry and a modulus -- 3. Combinatorial properties of semirings -- 4. Elimination in semirings and Cramer theorem -- 5. Existence of solutions of tropical linear systems -- 6. Homogeneous systems: the generalized Gondran-Minoux theorem -- 7. Systems of balances and intersections of signed hyperplanes -- 8. Computing all Cramer Permanents: tropical Jacobi versus transportation approach -- 9. Computing determinants -- Acknowledgment -- References -- An approximation of Hopf-Lax type formula via idempotent analysis -- 1. Introduction -- 2. Basic notions of idempotent analysis -- 3. Approximation formulas to solutions of Hamilton-Jacobi equations -- References -- Ideals of MV-semirings and MV-algebras -- 1. Introduction -- 2. Preliminaries -- 3. Ideals, congruences and quotients -- 4. The frame of radical ideals of an MV-semiring -- 5. The frame of radical ideals of an MV-algebra -- 6. The frames of open sets of \Spec( ) and of \Spec( ) -- 7. The frame of open sets of \Max( ) -- References -- 2. Optimal solution -- 3. Approximate solution -- 4. Conclusions -- References -- Algebraic structures of tropical mathematics -- 1. Introduction -- 2. Algebraic background -- 3. The layered structure -- 4. Matrices and linear algebra -- 5. Identities of semirings, especially matrices -- References -- Parametric dequantization, tropical reduction of hyperfields and steady states of AC electrical networks -- 1. Introduction -- 2. Real tropical polynomials over a semifield -- 3. Parametric limits of polynomials with various conditions on their coefficients -- 4. Complex tropical polynomials over hyperfield and tropical reduction -- 5. The power balance equations in AC network -- 6. Tropical reduction of the power balance equations, Foster coefficients and minimal spanning trees -- 7. Concluding remarks -- References -- A constrained tropical optimization problem: Complete solution and application example -- 1. Introduction -- 2. Preliminary definitions and results -- 3. Linear inequalities -- 4. An optimization problem -- 5. Applications to optimal scheduling -- Acknowledgments -- References -- On the mathematical foundations of classical thermodynamics. |
| Record Nr. | UNINA-9910812890103321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||