2013

Encyclopedia of Distances

Authors:

ISBN: 978-3-642-30957-1 (Print) 978-3-642-30958-8 (Online)

Table of contents (29 chapters)

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  1. Front Matter

    Pages I-XVIII

  2. Mathematics of Distances

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-58

      General Definitions

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      Book Chapter

      Pages 59-66

      Topological Spaces

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      Book Chapter

      Pages 67-78

      Generalizations of Metric Spaces

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      Book Chapter

      Pages 79-87

      Metric Transforms

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      Book Chapter

      Pages 89-99

      Metrics on Normed Structures

  3. Geometry and Distances

    1. Front Matter

      Pages 101-101

    2. No Access

      Book Chapter

      Pages 103-123

      Distances in Geometry

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      Book Chapter

      Pages 125-155

      Riemannian and Hermitian Metrics

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      Book Chapter

      Pages 157-168

      Distances on Surfaces and Knots

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      Book Chapter

      Pages 169-180

      Distances on Convex Bodies, Cones, and Simplicial Complexes

  4. Distances in Classical Mathematics

    1. Front Matter

      Pages 181-181

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      Book Chapter

      Pages 183-195

      Distances in Algebra

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      Book Chapter

      Pages 197-208

      Distances on Strings and Permutations

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      Book Chapter

      Pages 209-221

      Distances on Numbers, Polynomials, and Matrices

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      Book Chapter

      Pages 223-232

      Distances in Functional Analysis

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      Book Chapter

      Pages 233-245

      Distances in Probability Theory

  5. Distances in Applied Mathematics

    1. Front Matter

      Pages 247-247

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      Book Chapter

      Pages 249-278

      Distances in Graph Theory

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      Book Chapter

      Pages 279-290

      Distances in Coding Theory

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      Book Chapter

      Pages 291-305

      Distances and Similarities in Data Analysis

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      Book Chapter

      Pages 307-320

      Distances in Systems and Mathematical Engineering

  6. Computer-related Distances

    1. Front Matter

      Pages 321-321

    2. No Access

      Book Chapter

      Pages 323-338

      Distances on Real and Digital Planes

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      Book Chapter

      Pages 339-347

      Voronoi Diagram Distances

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