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Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
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Encyclopedia of Distances (Paperback, Softcover reprint of the original 3rd ed. 2014)
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Encyclopedia of Distances (Paperback, Softcover reprint of the original 3rd ed. 2014)
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This updated and revised third edition of the leading reference
volume on distance metrics includes new items from very active
research areas in the use of distances and metrics such as
geometry, graph theory, probability theory and analysis. Among the
new topics included are, for example, polyhedral metric space,
nearness matrix problems, distances between belief assignments,
distance-related animal settings, diamond-cutting distances,
natural units of length, Heidegger's de-severance distance, and
brain distances. The publication of this volume 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. 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.
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