Dictionary of distances

Description

Content: PrefaceI. Mathematics of Distances1. General Definitions2. Topological Spaces3. Generalizations of Metric Spaces4. Metric Transforms5. Metrics on Normed StructuresII. Geometry and Distances6. Distances in Geometry7. Riemannian and Hermitian Metrics8. Distances on Surfaces and Knots9. Distances on Convex Bodies, Cones, and Simplicial ComplexesIII. Distances in Classical Mathematics10. Distances in Algebra11. Distances on Strings and Permutations12. Distances on Numbers, Polynomials, and Matrices13. Distances in Functional Analysis14. Distances in Probability TheoryIV. Distances in Applied Mathematics15. Distances in Graph Theory16. Distances in Coding Theory17. Distances and Similarities in Data Analysis18. Distances in Mathematical EngineeringV. Computer-related Distances19. Distances on Real and Digital Planes20. Voronoi Diagram Distances21. Image and Audio Distances22. Distances in Internet and Similar NetworksVI. Distances in Natural Sciences23. Distances in Biology24. Distances in Physics and Chemistry25. Distances in Geography, Geophysics, and Astronomy26. Distances in Cosmology ad Theory of RelativityVII. Real-world Distances27. Length Measures and Scales28. Non-mathematical and Figurative Meaning of Distance