000			02941nam a22002897a 4500
999			_c1268 _d1268
005			20211201152755.0
008			211126b ||||| |||| 00| 0 eng d
020			_a9783662570869
082			_a514.325 _bDES
100			_aDeza, Michel Marie
245			_aEncyclopedia of distances _cM Deza; Elena Deza
250			_a4th ed.
260			_aHeidelberg : _bSpringer, _c2016.
300			_axxii, 756 pages : _bill.; _c25 cm.
505			_tPart I. Mathematics of Distances _tPart II. Geometry and Distances _tPart III. Distances in Classical Mathematics _tPart IV. Distances in Applied Mathematics _tPart V. Computer-Related Distances _tPart VI. Distances in Natural Sciences _tPart VII. Real-World Distances
520			_aThis 4-th edition of the leading reference volume on distance metrics is characterized by updated and rewritten sections on some items suggested by experts and readers, as well a general streamlining of content and the addition of essential new topics. Though the structure remains unchanged, the new edition also explores recent advances in the use of distances and metrics for e.g. generalized distances, probability theory, graph theory, coding theory, data analysis. New topics in the purely mathematical sections include e.g. the Vitanyi multiset-metric, algebraic point-conic distance, triangular ratio metric, Rossi-Hamming metric, Taneja distance, spectral semimetric between graphs, channel metrization, and Maryland bridge distance. The multidisciplinary sections have also been supplemented with new topics, including: dynamic time wrapping distance, memory distance, allometry, atmospheric depth, elliptic orbit distance, VLBI distance measurements, the astronomical system of units, and walkability distance. Leaving aside the practical questions that arise during the selection of a 'good' distance function, this work focuses on providing the research community with an invaluable comprehensive listing of the main available distances. As well as providing standalone introductions and definitions, the encyclopedia facilitates swift cross-referencing with easily navigable bold-faced textual links to core entries. In addition to distances themselves, the authors have collated numerous fascinating curiosities in their Who's Who of metrics, including distance-related notions and paradigms that enable applied mathematicians in other sectors to deploy research tools that non-specialists justly view as arcane. In expanding access to these techniques, and in many cases enriching the context of distances themselves, this peerless volume is certain to stimulate fresh research.
650			_aMetric spaces
650			_aDistances--Measurement
650			_aComputer science--Mathematics
650			_aTopology
650			_aEngineering mathematics
650			_aMathematics
650			_aGlobal differential geometry
650			_aVisualization
700			_aDeza, Elena.
942			_2ddc _cREF