## Encyclopedia of Distances (Google eBook)This updated and revised second edition of the leading reference volume on distance metrics includes a wealth of new material that reflects advances in a developing field now regarded as an essential tool in many areas of pure and applied mathematics. Its publication coincides with intensifying research efforts into metric spaces and especially distance design for applications. Accurate metrics have become a crucial goal in computational biology, image analysis, speech recognition and information retrieval. The content focuses on providing academics with an invaluable comprehensive listing of the main available distances. As well as standalone introductions and definitions, the encyclopedia facilitates swift cross-referencing with easily navigable bold-faced textual links to core entries, and includes a wealth of fascinating curiosities that enable non-specialists to deploy research tools previously viewed as arcane. Its value-added context is certain to open novel avenues of research. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Geometry and Distances | 100 |

Distances in Classical Mathematics | 181 |

Distances in Applied Mathematics | 248 |

ComputerRelated Distances | 321 |

Distances in Natural Sciences | 385 |

RealWorld Distances | 528 |

618 | |

627 | |

### Common terms and phrases

atoms Banach space called compact complex cone connected constant convex coordinates corresponding curvature curve deﬁned denote Deza diameter dimension distance in Chap Earth edge edit distance Einstein field equation equation equivalent Euclidean distance Euclidean space example exists ﬁnite Finsler metric function f geodesic Geometry Given a metric graph G gravitational Hausdorff Hermitian Hilbert hyperbolic integer intrinsic metric isometric length line element ds2 linear manifold mapping matrix measure metric Given metric in Chap metric Let metric space X,d metric tensor minimal minimum number multisets n-dimensional norm metric object pair parameter path metric plane positive quasi-distance radius ratio respectively Riemannian metric scale segment semimetric sequence shortest similarity space–time spatial sphere subgraph subset subspace surface symmetric tance tangent tensor tion topological space transform tree triangle inequality vector space vertex vertices Voronoi diagram weighted