Encyclopedia of distances

Más información sobre el libro

This 4th edition of the leading reference on distance metrics features updated and rewritten sections based on expert and reader suggestions, streamlining of content, and the addition of essential new topics. While the structure remains unchanged, it delves into recent advances in the application of distances and metrics across various fields, including generalized distances, probability theory, graph theory, coding theory, and data analysis. New mathematical topics introduced include 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 expanded with topics like dynamic time warping distance, memory distance, allometry, atmospheric depth, elliptic orbit distance, VLBI distance measurements, the astronomical system of units, and walkability distance. This work emphasizes providing the research community with a comprehensive listing of available distances, featuring standalone introductions and definitions, along with easily navigable bold-faced links for cross-referencing. Additionally, the authors present a "Who’s Who of metrics," offering distance-related notions and paradigms that empower applied mathematicians to utilize research tools often viewed as arcane by non-specialists. This peerless volume is poised to stimulate fresh