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Encyclopedia of Distances

This 4-th edition of the leading reference volume on distance metrics is characterized by updated and rewritten sections on some items suggested by experts and readers, as well a general streamlining of content and the addition of essential new topics. Though the structure remains unchanged, the new...

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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, 2016.
Edición:4th ed. 2016.
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.