Encyclopedia of Distances by Michel Marie Deza,Elena Deza

By Michel Marie Deza,Elena Deza

This 4-th variation of the top reference quantity on distance metrics is characterised via up to date and rewritten sections on a few goods steered through specialists and readers, to boot a common streamlining of content material and the addition of crucial new issues. although the constitution continues to be unchanged, the hot variation additionally explores fresh advances within the use of distances and metrics for e.g. generalized distances, chance thought, graph idea, coding thought, facts analysis.

New issues within the merely mathematical sections comprise e.g. the Vitanyi multiset-metric, algebraic point-conic distance, triangular ratio metric, Rossi-Hamming metric, Taneja distance, spectral semimetric among graphs, channel metrization, and Maryland bridge distance. The multidisciplinary sections have additionally been supplemented with new themes, together with: dynamic time wrapping distance, reminiscence distance, allometry, atmospheric intensity, elliptic orbit distance, VLBI distance measurements, the astronomical process of devices, and walkability distance.

Leaving apart the sensible questions that come up throughout the choice of a ‘good’ distance functionality, this paintings makes a speciality of supplying the examine group with a useful entire directory of the most to be had distances.

As good as delivering standalone introductions and definitions, the encyclopedia allows quick cross-referencing with simply navigable bold-faced textual hyperlinks to middle entries. as well as distances themselves, the authors have collated quite a few attention-grabbing curiosities of their Who’s Who of metrics, together with distance-related notions and paradigms that allow utilized mathematicians in different sectors to installation examine instruments that non-specialists justly view as arcane. In increasing entry to those ideas, and in lots of situations enriching the context of distances themselves, this peerless quantity is sure to stimulate clean research.

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