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set of measure zero

См. также в других словарях:

  • measure zero — Math. the property of a set of points for which, given any small number, there exists a set of intervals such that each point of the given set is contained in at least one of the intervals and such that, essentially, the combined length of the… …   Universalium

  • measure zero — Math. the property of a set of points for which, given any small number, there exists a set of intervals such that each point of the given set is contained in at least one of the intervals and such that, essentially, the combined length of the… …   Useful english 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

  • Set of uniqueness — M set redirects here. For the CityRail train, see CityRail M set. In mathematics, a set of uniqueness is a concept relevant to trigonometric expansions which are not necessarily Fourier series. Their study is a relatively pure branch of harmonic… …   Wikipedia

  • Wandering set — In those branches of mathematics called dynamical systems and ergodic theory, the concept of a wandering set formalizes a certain idea of movement and mixing in such systems. When a dynamical system has a wandering set of non zero measure, then… …   Wikipedia

  • complete measure — noun Such that for every set of measure zero belonging to its domain, all subsets of that set are also assigned measure zero by the given measure. See Also: μ completion …   Wiktionary

  • Quasi-invariant measure — In mathematics, a quasi invariant measure mu; with respect to a transformation T , from a measure space X to itself, is a measure which, roughly speaking, is multiplied by a numerical function by T . An important class of examples occurs when X… …   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

  • Zero-product property — In the mathematical areas of algebra and analysis, the zero product property, also known as the zero product rule , is an abstract and explicit statement of the familiar property from elementary mathematics that if the product of two real numbers …   Wikipedia

  • set — v 1. put, place, position, move into position; situate, locate, localize, plant, mount; deposit, reposit, lay down, plump, rest; land, bring down, bring in, set down; park, station, stick; lodge, quarter; slap, tuck, slip, insert; implant,… …   A Note on the Style of the synonym finder

  • Null set — In mathematics, a null set is a set that is negligible in some sense. For different applications, the meaning of negligible varies. In measure theory, any set of measure 0 is called a null set (or simply a measure zero set). More generally,… …   Wikipedia

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