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Encyclopedia of Distances

This updated and revised third edition of the leading reference volume on distance metrics includes new items from very active research areas in the use of distances and metrics such as geometry, graph theory, probability theory and analysis. Among the new topics included are, for example, polyhedra...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Deza, Michel Marie (Autor), Deza, Elena (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014.
Edición:3rd ed. 2014.
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Part I. Mathematics of Distances: 1 General Definitions
  • 2 Topological Spaces
  • 3 Generalization of Metric Spaces
  • 4 Metric Transforms
  • 5 Metrics on Normed Structures
  • Part II. Geometry and Distances: 6 Distances in Geometry
  • 7 Riemannian and Hermitian Metrics
  • 8 Distances on Surfaces and Knots
  • 9 Distances on Convex Bodies, Cones and Simplicial Complexes
  • Part III. Distances in Classical Mathematics: 10 Distances in Algebra
  • 11 Distances on Strings and Permutations
  • 12 Distances on Numbers, Polynomials and Matrices
  • 13 Distances in Functional Analysis
  • 14 Distances in Probability Theory
  • Part IV. Distances in Applied Mathematics: 15 Distances in Graph Theory
  • 16 Distances in Coding Theory
  • 17 Distances and Similarities in Data Analysis
  • 18 Distances in Systems and Mathematical Engineering
  • Part V. Computer-Related Distances: 19 Distances on Real and Digital Planes
  • 20 Voronoi Diagram Distances
  • 21 Image and Audio Distances
  • 22 Distances in Networks
  • Part VI. Distances in Natural Sciences: 23 Distances in Biology
  • 24 Distances in Physics and Chemistry
  • 25 Distances in Earth Science and Astronomy
  • 26 Distances in Cosmology and Theory of Relativity
  • Part VII. Real-World Distances: 27 Length Measures and Scales
  • 28 Distances in Applied Social Sciences
  • 29 Other Distances.