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locally constant function

См. также в других словарях:

  • Locally constant function — In mathematics, a function f from a topological space A to a set B is called locally constant, iff for every a in A there exists a neighborhood U of a , such that f is constant on U .Every constant function is locally constant.Every locally… …   Wikipedia

  • Locally integrable function — In mathematics, a locally integrable function is a function which is integrable on any compact set of its domain of definition. Formal definition Formally, let Omega be an open set in the Euclidean space scriptstylemathbb{R}^n and scriptstyle… …   Wikipedia

  • Constant function — Not to be confused with Function constant. In mathematics, a constant function is a function whose values do not vary and thus are constant. For example the function f(x) = 4 is constant since f maps any value to 4. More formally, a function… …   Wikipedia

  • Locally connected space — In this topological space, V is a neighbourhood of p and it contains a connected neighbourhood (the dark green disk) that contains p. In topology and other branches of mathematics, a topological space X is locally connected if every point admits… …   Wikipedia

  • Constant of integration — In calculus, the indefinite integral of a given function (i.e., the set of all antiderivatives of the function) is only defined up to an additive constant, the constant of integration.[1][2] This constant expresses an ambiguity inherent in the… …   Wikipedia

  • Igusa zeta-function — In mathematics, an Igusa zeta function is a type of generating function, counting the number of solutions of an equation, modulo p , p 2, p 3, and so on. Definition For a prime number p let K be a p adic field, i.e. [K: mathbb{Q} p] …   Wikipedia

  • Locally convex topological vector space — In functional analysis and related areas of mathematics, locally convex topological vector spaces or locally convex spaces are examples of topological vector spaces (TVS) which generalize normed spaces. They can be defined as topological vector… …   Wikipedia

  • Schwartz-Bruhat function — In mathematics, a Schwartz Bruhat function is a function on a locally compact abelian group, such as the adeles, that generalizes a Schwartz function on a real vector space. A tempered distribution is defined as a continuous linear functional on… …   Wikipedia

  • Inverse function theorem — In mathematics, specifically differential calculus, the inverse function theorem gives sufficient conditions for a function to be invertible in a neighborhood of a point in its domain. The theorem also gives a formula for the derivative of the… …   Wikipedia

  • Hardy-Littlewood maximal function — In mathematics, the Hardy Littlewood maximal operator M is a significant non linear operator used in real analysis and harmonic analysis. It takes a function f (a complex valued and locally integrable function) : f:mathbb{R}^{d} ightarrow… …   Wikipedia

  • Implicit function theorem — In the branch of mathematics called multivariable calculus, the implicit function theorem is a tool which allows relations to be converted to functions. It does this by representing the relation as the graph of a function. There may not be a… …   Wikipedia

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