This 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.
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