Encyclopedia of Distances

Part I. Mathematics of Distances

1. General Definitions
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2. Topological Spaces
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3. Generalizations of Metric Spaces
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4. Metric Transforms
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5. Metrics on Normed Structures
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Part II. Geometry and Distances

6. Distances in Geometry
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7. Riemannian and Hermitian Metrics
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8. Distances on Surfaces and Knots
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9. Distances on Convex Bodies, Cones, and Simplicial Complexes
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Part III. Distances in Classical Mathematics

10. Distances in Algebra
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11. Distances on Strings and Permutations
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12. Distances on Numbers, Polynomials, and Matrices
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13. Distances in Functional Analysis
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14. Distances in Probability Theory
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Part IV. Distances in Applied Mathematics

15. Distances in Graph Theory
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16. Distances in Coding Theory
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17. Distances and Similarities in Data Analysis
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18. Distances in Systems and Mathematical Engineering
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Part V. Computer-Related Distances

19. Distances on Real and Digital Planes
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20. Voronoi Diagram Distances
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21. Image and Audio Distances
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22. Distances in Networks
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Part VI. Distances in Natural Sciences

23. Distances in Biology
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24. Distances in Physics and Chemistry
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25. Distances in Earth Science and Astronomy
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26. Distances in Cosmology and Theory of Relativity
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Part VII. Real-World Distances

27. Length Measures and Scales
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28. Distances in Applied Social Sciences
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29. Other Distances
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Avainsanat: Mathematics, Differential Geometry, Topology, Computational Mathematics and Numerical Analysis, Appl.Mathematics/Computational Methods of Engineering