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Geometry and nature : in memory of W.K. Clifford : a Conference on New Trends in Geometrical and Topological Methods in memory of William Kingdon Clifford, July 30-August 5, 1995, Madeira, Portugal / / Hanna Nencka, Jean-Pierre Bourguignon, editors
| Geometry and nature : in memory of W.K. Clifford : a Conference on New Trends in Geometrical and Topological Methods in memory of William Kingdon Clifford, July 30-August 5, 1995, Madeira, Portugal / / Hanna Nencka, Jean-Pierre Bourguignon, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (314 p.) |
| Disciplina | 530.15/6 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Geometry
Topology Mathematical physics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7794-1
0-8218-5539-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Adapted metrics and Mobius transformations defined over Clifford algebras""""Part III. Information Geometry""; ""Information geometry""; ""1. Introduction""; ""2. Riemannian Manifold with Dual Affine Connections""; ""3. Dually flat manifolds""; ""4. Some Unsolved Mathematical Questions""; ""5. Manifold of Probability Distributions""; ""6. Applications of Information Geometry""; ""7. Conclusions""; ""References""; ""An example of dynamical behaviour of the relative entropy""; ""Information geometry and learning in formal neural networks""; ""Statistical dynamics and information geometry""
""Part IV. Noncommutative Geometry""""On finite differential calculi""; ""Some aspects of noncommutative differential geometry""; ""Connections of bimodules in non-commutative geometry""; ""Riemannian and non-commutative geometry in physics""; ""Spectral model and fuzzy mass relations""; ""Part V. Cosmology and General Relativity""; ""Not so simple universe""; ""Extended tensorial curvature analysis for embeddings and foliations""; ""Spaces admitting a foliation by isotropic hypersurfaces""; ""An alternative to inflation""; ""Part VI. Symplectic Geometry and Self-Similar Structures"" ""A class of homogeneous symplectic manifolds""""rth order conditionally convergent series of fractal domains""; ""Part VII: Field Theory""; ""Chern-Simons vortices""; ""The generalized local instability criterion from the geodesic deviation equation"" |
| Record Nr. | UNINA-9910480211503321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometry and nature : in memory of W.K. Clifford : a Conference on New Trends in Geometrical and Topological Methods in memory of William Kingdon Clifford, July 30-August 5, 1995, Madeira, Portugal / / Hanna Nencka, Jean-Pierre Bourguignon, editors
| Geometry and nature : in memory of W.K. Clifford : a Conference on New Trends in Geometrical and Topological Methods in memory of William Kingdon Clifford, July 30-August 5, 1995, Madeira, Portugal / / Hanna Nencka, Jean-Pierre Bourguignon, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (314 p.) |
| Disciplina | 530.15/6 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Geometry
Topology Mathematical physics |
| ISBN |
0-8218-7794-1
0-8218-5539-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Adapted metrics and Mobius transformations defined over Clifford algebras -- Part III. Information Geometry -- Information geometry -- 1. Introduction -- 2. Riemannian Manifold with Dual Affine Connections -- 3. Dually flat manifolds -- 4. Some Unsolved Mathematical Questions -- 5. Manifold of Probability Distributions -- 6. Applications of Information Geometry -- 7. Conclusions -- References -- An example of dynamical behaviour of the relative entropy -- Information geometry and learning in formal neural networks -- Statistical dynamics and information geometry -- Part IV. Noncommutative Geometry -- On finite differential calculi -- Some aspects of noncommutative differential geometry -- Connections of bimodules in non-commutative geometry -- Riemannian and non-commutative geometry in physics -- Spectral model and fuzzy mass relations -- Part V. Cosmology and General Relativity -- Not so simple universe -- Extended tensorial curvature analysis for embeddings and foliations -- Spaces admitting a foliation by isotropic hypersurfaces -- An alternative to inflation -- Part VI. Symplectic Geometry and Self-Similar Structures -- A class of homogeneous symplectic manifolds -- rth order conditionally convergent series of fractal domains -- Part VII: Field Theory -- Chern-Simons vortices -- The generalized local instability criterion from the geodesic deviation equation. |
| Record Nr. | UNINA-9910788648403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometry and nature : in memory of W.K. Clifford : a Conference on New Trends in Geometrical and Topological Methods in memory of William Kingdon Clifford, July 30-August 5, 1995, Madeira, Portugal / / Hanna Nencka, Jean-Pierre Bourguignon, editors
| Geometry and nature : in memory of W.K. Clifford : a Conference on New Trends in Geometrical and Topological Methods in memory of William Kingdon Clifford, July 30-August 5, 1995, Madeira, Portugal / / Hanna Nencka, Jean-Pierre Bourguignon, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (314 p.) |
| Disciplina | 530.15/6 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Geometry
Topology Mathematical physics |
| ISBN |
0-8218-7794-1
0-8218-5539-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Adapted metrics and Mobius transformations defined over Clifford algebras -- Part III. Information Geometry -- Information geometry -- 1. Introduction -- 2. Riemannian Manifold with Dual Affine Connections -- 3. Dually flat manifolds -- 4. Some Unsolved Mathematical Questions -- 5. Manifold of Probability Distributions -- 6. Applications of Information Geometry -- 7. Conclusions -- References -- An example of dynamical behaviour of the relative entropy -- Information geometry and learning in formal neural networks -- Statistical dynamics and information geometry -- Part IV. Noncommutative Geometry -- On finite differential calculi -- Some aspects of noncommutative differential geometry -- Connections of bimodules in non-commutative geometry -- Riemannian and non-commutative geometry in physics -- Spectral model and fuzzy mass relations -- Part V. Cosmology and General Relativity -- Not so simple universe -- Extended tensorial curvature analysis for embeddings and foliations -- Spaces admitting a foliation by isotropic hypersurfaces -- An alternative to inflation -- Part VI. Symplectic Geometry and Self-Similar Structures -- A class of homogeneous symplectic manifolds -- rth order conditionally convergent series of fractal domains -- Part VII: Field Theory -- Chern-Simons vortices -- The generalized local instability criterion from the geodesic deviation equation. |
| Record Nr. | UNINA-9910817967203321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||