infinite measure

infinite measure
мат.
бесконечная мера

English-Russian scientific dictionary. 2008.

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  • infinite — infinite, eternal, sempiternal, boundless, illimitable, uncircumscribed mean having neither beginning nor end or being without known limits. Infinite especially as applied to God or his attributes implies immeasurability or an incapacity for… …   New Dictionary of Synonyms

  • Measure — Meas ure, v. t. [imp. & p. p. {Measured}; p. pr. & vb. n. {Measuring}.] [F. mesurer, L. mensurare. See {Measure}, n.] 1. To ascertain by use of a measuring instrument; to compute or ascertain the extent, quantity, dimensions, or capacity of, by a …   The Collaborative International Dictionary of English

  • infinite — [in′fə nit] adj. [ME < L infinitus: see IN 2 & FINITE] 1. lacking limits or bounds; extending beyond measure or comprehension: without beginning or end; endless 2. very great; vast; immense 3. a) Math. indefinitely large; greater than any …   English World dictionary

  • infinite — I adjective boundless, ceaseless, countless, endless, enduring, eternal, everlasting, exhaustless, illimitable, immeasurable, imperishable, incalculable, indestructible, inexhaustible, infinitus, innumerable, interminable, lasting, limitless,… …   Law dictionary

  • 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

  • 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

  • Infinite descent — In mathematics, a proof by infinite descent is a particular kind of proof by contradiction which relies on the fact that the natural numbers are well ordered. One typical application is to show that a given equation has no solutions. Assuming a… …   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

  • Measure of non-compactness — In functional analysis, two measures of non compactness are commonly used; these associate numbers to sets in such a way that compact sets all get the measure 0, and other sets get measures that are bigger according to how far they are removed… …   Wikipedia

  • infinite — Synonyms and related words: Atlantean, Brobdingnagian, Cyclopean, Gargantuan, Herculean, Homeric, abysmal, ageless, algorismic, algorithmic, aliquot, all comprehensive, all inclusive, all knowing, all powerful, all present, all seeing, all wise,… …   Moby Thesaurus

  • There is no infinite-dimensional Lebesgue measure — In mathematics, it is a theorem that there is no analogue of Lebesgue measure on an infinite dimensional space. This fact forces mathematicians studying measure theory on infinite dimensional spaces to use other kinds of measures: often, the… …   Wikipedia


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