- space of continuous functions
- пространство непрерывных функций
English-Russian scientific dictionary. 2008.
space of continuous functions
Смотреть что такое "space of continuous functions" в других словарях:
Continuous functions on a compact Hausdorff space — In mathematical analysis, and especially functional analysis, a fundamental role is played by the space of continuous functions on a compact Hausdorff space with values in the real or complex numbers. This space, denoted by C(X), is a vector… … Wikipedia
Continuous function — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus Derivative Change of variables Implicit differentiation Taylor s theorem Related rates … Wikipedia
Continuous function (topology) — In topology and related areas of mathematics a continuous function is a morphism between topological spaces. Intuitively, this is a function f where a set of points near f(x) always contain the image of a set of points near x . For a general… … Wikipedia
Space (mathematics) — This article is about mathematical structures called spaces. For space as a geometric concept, see Euclidean space. For all other uses, see space (disambiguation). A hierarchy of mathematical spaces: The inner product induces a norm. The norm… … Wikipedia
Continuous graph — This article is about sets of vertices and edges (graphs) defined on a continuous space. For graphs of continuous functions, see Continuous function. For connected graphs, see Connectivity (graph theory). A continuous graph is a graph whose set… … Wikipedia
Continuous linear extension — In functional analysis, it is often convenient to define a linear transformation on a complete, normed vector space X by first defining a linear transformation on a dense subset of X and then extending to the whole space via the theorem below.… … Wikipedia
Continuous functional calculus — In mathematics, the continuous functional calculus of operator theory and C* algebra theory allows applications of continuous functions to normal elements of a C* algebra. More precisely, Theorem. Let x be a normal element of a C* algebra A with… … Wikipedia
Continuous mapping theorem — In probability theory, the continuous mapping theorem states that continuous functions are limit preserving even if their arguments are sequences of random variables. A continuous function, in Heine’s definition, is such a function that maps… … Wikipedia
Compact space — Compactness redirects here. For the concept in first order logic, see compactness theorem. In mathematics, specifically general topology and metric topology, a compact space is an abstract mathematical space whose topology has the compactness… … Wikipedia
Function space — In mathematics, a function space is a set of functions of a given kind from a set X to a set Y . It is called a space because in many applications, it is a topological space or a vector space or both. ExamplesFunction spaces appear in various… … Wikipedia
Standard probability space — In probability theory, a standard probability space (called also Lebesgue Rokhlin probability space) is a probability space satisfying certain assumptions introduced by Vladimir Rokhlin in 1940 [1] . He showed that the unit interval endowed with… … Wikipedia
