Encyclopedia of Distances

Viac o knihe

This 4th edition of the leading reference on distance metrics features updated and rewritten sections based on expert and reader suggestions, along with a streamlined content structure and the inclusion of essential new topics. While the overall structure remains intact, the edition delves into recent advancements in 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 been enhanced with topics like dynamic time wrapping distance, memory distance, allometry, atmospheric depth, elliptic orbit distance, VLBI distance measurements, the astronomical system of units, and walkability distance. This work emphasizes a comprehensive listing of available distances while addressing practical considerations in selecting effective distance functions. It provides standalone introductions and definitions, facilitating swift cross-referencing through bold-faced links to core entries. Additionally, the authors present intriguing insights in their Who’s Who of metrics, enabling applied mathematicians to utilize research tools that may seem arcane to non-specialis