Book 2014

Encyclopedia of Distances

Authors:

ISBN: 978-3-662-44341-5 (Print) 978-3-662-44342-2 (Online)

Table of contents (29 chapters)

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  1. Front Matter

    Pages i-xx

  2. Mathematics of Distances

    1. Front Matter

      Pages 1-1

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      Chapter

      Pages 3-62

      General Definitions

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      Chapter

      Pages 63-70

      Topological Spaces

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      Chapter

      Pages 71-84

      Generalizations of Metric Spaces

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      Chapter

      Pages 85-94

      Metric Transforms

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      Chapter

      Pages 95-106

      Metrics on Normed Structures

  3. Geometry and Distances

    1. Front Matter

      Pages 107-107

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      Chapter

      Pages 109-131

      Distances in Geometry

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      Chapter

      Pages 133-166

      Riemannian and Hermitian Metrics

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      Chapter

      Pages 167-180

      Distances on Surfaces and Knots

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      Chapter

      Pages 181-193

      Distances on Convex Bodies, Cones, and Simplicial Complexes

  4. Distances in Classical Mathematics

    1. Front Matter

      Pages 195-195

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      Chapter

      Pages 197-212

      Distances in Algebra

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      Chapter

      Pages 213-225

      Distances on Strings and Permutations

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      Chapter

      Pages 227-244

      Distances on Numbers, Polynomials, and Matrices

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      Chapter

      Pages 245-255

      Distances in Functional Analysis

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      Chapter

      Pages 257-272

      Distances in Probability Theory

  5. Distances in Applied Mathematics

    1. Front Matter

      Pages 273-273

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      Chapter

      Pages 275-307

      Distances in Graph Theory

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      Chapter

      Pages 309-321

      Distances in Coding Theory

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      Chapter

      Pages 323-339

      Distances and Similarities in Data Analysis

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      Chapter

      Pages 341-355

      Distances in Systems and Mathematical Engineering

  6. Computer-Related Distances

    1. Front Matter

      Pages 357-357

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      Chapter

      Pages 359-375

      Distances on Real and Digital Planes

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      Chapter

      Pages 377-385

      Voronoi Diagram Distances

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