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Part I. Mathematics of Distances |
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1 General Definitions |
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2 Topological Spaces |
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3 Generalization 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 |
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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 |
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10 Distances in Algebra |
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11 Distances on Strings and Permutations |
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12 Distances on Numbers, Polynominals 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 |
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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 |
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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 |
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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 |
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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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Part I. Mathematics of Distances |
|
|
1 General Definitions |
|
|
2 Topological Spaces |
|
ＥＢ
