outer measure

outer measure

English-Finnish mathematical dictionary. 2011.

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  • Outer measure — In mathematics, in particular in measure theory, an outer measure or exterior measure is a function defined on all subsets of a given set with values in the extended real numbers satisfying some additional technical conditions. A general theory… …   Wikipedia

  • Metric outer measure — In mathematics, a metric outer measure is an outer measure μ defined on the subsets of a given metric space (X, d) such that for every pair of positively separated subsets A and B of X. Construction of metric outer measures Let… …   Wikipedia

  • measure — measurer, n. /mezh euhr/, n., v., measured, measuring. n. 1. a unit or standard of measurement: weights and measures. 2. a system of measurement: liquid measure. 3. an instrument, as a graduated rod or a container of standard capacity, for… …   Universalium

  • Measure (mathematics) — Informally, a measure has the property of being monotone in the sense that if A is a subset of B, the measure of A is less than or equal to the measure of B. Furthermore, the measure of the empty set is required to be 0. In mathematical analysis …   Wikipedia

  • Outer Brewster Island — Outer Brewster Island, also known as Outward Island, is a one of the outer islands in the Boston Harbor Islands National Recreation Area and is situated some 10 miles offshore of downtown Boston. The island has a permanent size of 20 acres, and… …   Wikipedia

  • measure — Synonyms and related words: A, Alexandrine, Spenserian stanza, Stabreim, a, accent, accent mark, accentuation, accommodate, accommodation, accomplished fact, accomplishment, accord, achievement, acreage, act, acta, action, ad hoc measure, adapt,… …   Moby Thesaurus

  • Outer Upper Inner — Uncanny Valley Studio album by Birds of Avalon Released March 18, 2008 (2008 03 18) Genre Progressive Rock …   Wikipedia

  • outer space — Synonyms and related words: China, Darkest Africa, God knows where, Greenland, North Pole, Outer Mongolia, Pago Pago, Pillars of Hercules, Siberia, South Pole, Thule, Tierra del Fuego, Timbuktu, Ultima Thule, Yukon, acreage, antipodes, area,… …   Moby Thesaurus

  • outer regular — adjective That its measure is equal to the infimum of the measures of all open sets which contain it. See Also: inner regular, regular …   Wiktionary

  • Hausdorff measure — In mathematics a Hausdorff measure is a type of outer measure, named for Felix Hausdorff, that assigns a number in [0,∞] to each set in R n or, more generally, in any metric space. The zero dimensional Hausdorff measure is the number of points in …   Wikipedia

  • Pre-measure — In mathematics, a pre measure is a function that is, in some sense, a precursor to a bona fide measure on a given space. Pre measures are particularly useful in fractal geometry and dimension theory, where they can be used to define measures such …   Wikipedia

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