Dictionary of distances [electronic resource] / Elena Deza, Michel-Marie Deza.
This book comes out of need and urgency (expressed especially in areas of Information Retrieval with respect to Image, Audio, Internet and Biology) to have a working tool to compare data. The book will provide powerful resource for all researchers using Mathematics as well as for mathematicians them...
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Full Text (via ScienceDirect) |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Amsterdam, the Netherlands ; Boston :
Elsevier,
2006.
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| Edition: | 1st ed. |
| Subjects: |
Table of Contents:
- Preface
- I. Mathematics of Distances
- 1. General Definitions
- 2. Topological Spaces
- 3. Generalizations of Metric Spaces
- 4. Metric Transforms
- 5. Metrics on Normed Structures
- 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
- 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
- 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 Mathematical Engineering
- V. Computer-related Distances
- 19. Distances on Real and Digital Planes
- 20. Voronoi Diagram Distances
- 21. Image and Audio Distances
- 22. Distances in Internet and Similar Networks
- VI. Distances in Natural Sciences
- 23. Distances in Biology
- 24. Distances in Physics and Chemistry
- 25. Distances in Geography, Geophysics, and Astronomy
- 26. Distances in Cosmology ad Theory of Relativity
- VII. Real-world Distances
- 27. Length Measures and Scales
- 28. Non-mathematical and Figurative Meaning of Distance.