semimetric

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semimetric [¦sem·i′me·trik]

(mathematics)

A real valued functiond(x,y) on pairs of points from a topological space which has all the same properties as a metric save thatd(x,y) may be zero even ifxandyare distinct points. Also known as pseudometric.

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No references found			Let us recall that a semimetric space (X, d), also often referred to as apseudometric space, is defined exactly like a metric space, except that the condition d(x,y) = 0 for a pair of points x,y [member of] X does not imply that x = y. Complex interpolation of compact operators mapping into lattice ... by Cwikel, Michael / Proceedings of the Estonian Academy of Sciences Definition 3 ([1]): (see also[1-3,9]) The ordered pair (X,F) is called a probabilistic semimetric space (shortly PSM-space) if X is a nonempty set and F is a probabilistic distance satisfying the following conditions: for all x, y, z [member of] X and t, s> 0, (PM-1) [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (PM-2) [F. A fixed point theorem for contraction type mappings in menger spaces by Kutukcu, Servet / American Journal of Applied Sciences			semigloss Semigroup semigroup theory semihydraulic lime Semik Semikarakorsk Semikhatov, Aleksandr Semikhatov, Aleksandr Nikolaevich semikilled steel semilate semilethal gene Semiletka semilive skid Semilogarithmic Coordinate Paper Semiluki semilunar cartilage semilunar ganglion semilunar valve semimagic square semimagnetic controller semimajor axis semimat semimember semimembranosus Semimetal semimetric semimicroanalysis semiminor axis semimobile artillery semimonocoque seminal seminal bursa seminal fluid seminal fructose seminal groove seminal receptacle Seminal Vesicle Seminar Seminary Semination seminiferous tubule seminivorous Seminoe State Park Seminole Seminole Canyon State Park & Historic Site Seminole County Seminole State Park Seminole War Seminole Wars Seminoles Seminoma			semilunate semilunate Semilune Semily Semily Semily semimagic square semimagnetic controller semimajor axes semimajor axes semimajor axis semimajor axis Semimartingale Reflecting Brownian Motion semimat semimember semimembranosus semimembranosus Semimembranosus muscle Semimembranosus muscle semimembranous semimembranous semimembranous muscle semimembranous muscle semimembranous muscle Semimetal Semimetal Semimetallic Semimetallic Semimetals Semimetals semimetric Semimetric space semimicroanalysis semiminor axes semiminor axes semiminor axis semiminor axis semimobile artillery Semimodule semimonocoque semimonthlies semimonthlies semimonthly semimonthly Semimute Séminaire de géométrie algébrique Séminaire Franco-Brésilien Séminaire Lotharingien de Combinatoire Séminaires d'Ecologie et d'Evolution seminal seminal seminal seminal seminal bursa seminal colliculus seminal colliculus seminal colliculus seminal colliculus seminal colliculus, colliculus seminalis seminal colliculus, colliculus seminalis seminal colliculus, colliculus seminalis

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