everywhere dense subset

everywhere dense subset
всюду плотное подмножество

English-Russian scientific dictionary. 2008.

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  • Generic property — In mathematics, properties that hold for typical examples are called generic properties. For instance, a generic property of a class of functions is one that is true of almost all of those functions, as in the statements, A generic polynomial… …   Wikipedia

  • Decomposition of spectrum (functional analysis) — In mathematics, especially functional analysis, the spectrum of an operator generalizes the notion of eigenvalues. Given an operator, it is sometimes useful to break up the spectrum into various parts. This article discusses a few examples of… …   Wikipedia

  • Real number — For the real numbers used in descriptive set theory, see Baire space (set theory). For the computing datatype, see Floating point number. A symbol of the set of real numbers …   Wikipedia

  • Hellinger–Toeplitz theorem — In functional analysis, a branch of mathematics, the Hellinger–Toeplitz theorem states that an everywhere defined symmetric operator on a Hilbert space is bounded. By definition, an operator A is symmetric if : langle A x | y angle = langle x | A …   Wikipedia

  • List of exceptional set concepts — This is a list of exceptional set concepts. In mathematics, and in particular in mathematical analysis, it is very useful to be able to characterise subsets of a given set X as small , in some definite sense, or large if their complement in X is… …   Wikipedia

  • Densely-defined operator — In mathematics mdash; specifically, in operator theory mdash; a densely defined operator is a type of partially defined function; in a topological sense, it is a linear operator that is defined almost everywhere . Densely defined operators often… …   Wikipedia

  • Densely defined operator — In mathematics specifically, in operator theory a densely defined operator is a type of partially defined function; in a topological sense, it is a linear operator that is defined almost everywhere . Densely defined operators often arise in… …   Wikipedia

  • Bounded operator — In functional analysis, a branch of mathematics, a bounded linear operator is a linear transformation L between normed vector spaces X and Y for which the ratio of the norm of L(v) to that of v is bounded by the same number, over all non zero… …   Wikipedia

  • Lp space — In mathematics, the Lp spaces are function spaces defined using a natural generalization of the p norm for finite dimensional vector spaces. They are sometimes called Lebesgue spaces, named after Henri Lebesgue (Dunford Schwartz 1958, III.3),… …   Wikipedia

  • Negligible set — See also: Generic property In mathematics, a negligible set is a set that is small enough that it can be ignored for some purpose. As common examples, finite sets can be ignored when studying the limit of a sequence, and null sets can be ignored… …   Wikipedia

  • metalogic — /met euh loj ik/, n. the logical analysis of the fundamental concepts of logic. [1835 45; META + LOGIC] * * * Study of the syntax and the semantics of formal languages and formal systems. It is related to, but does not include, the formal… …   Universalium


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