vector-valued integral

vector-valued integral
мат. векторнозначный интеграл

Большой англо-русский и русско-английский словарь. 2001.

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  • Vector-valued function — A vector valued function is a mathematical function that maps real numbers onto vectors. Vector valued functions can be defined as: *mathbf{r}(t)=f(t)mathbfhat{i}+g(t)mathbfhat{j} or *mathbf{r}(t)=f(t)mathbfhat{i}+g(t)mathbfhat{j}+h(t)mathbfhat{k}… …   Wikipedia

  • Vector field — In mathematics a vector field is a construction in vector calculus which associates a vector to every point in a (locally) Euclidean space.Vector fields are often used in physics to model, for example, the speed and direction of a moving fluid… …   Wikipedia

  • Vector calculus — 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

  • Integral — This article is about the concept of integrals in calculus. For the set of numbers, see integer. For other uses, see Integral (disambiguation). A definite integral of a function can be represented as the signed area of the region bounded by its… …   Wikipedia

  • Bochner integral — In mathematics, the Bochner integral extends the definition of Lebesgue integral to functions which take values in a Banach space.The theory of vector valued functions is a chapter of mathematical analysis, concerned with the generalisation to… …   Wikipedia

  • Euclidean vector — This article is about the vectors mainly used in physics and engineering to represent directed quantities. For mathematical vectors in general, see Vector (mathematics and physics). For other uses, see vector. Illustration of a vector …   Wikipedia

  • Regulated integral — In mathematics, the regulated integral is a definition of integration for regulated functions, which are defined to be uniform limits of step functions. The use of the regulated integral instead of the Riemann integral has been advocated by… …   Wikipedia

  • Line integral — 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

  • Riemann integral — In the branch of mathematics known as real analysis, the Riemann integral, created by Bernhard Riemann, was the first rigorous definition of the integral of a function on an interval. While the Riemann integral is unsuitable for many theoretical… …   Wikipedia

  • Skorokhod integral — In mathematics, the Skorokhod integral, often denoted delta; , is an operator of great importance in the theory of stochastic processes. It is named after the Ukrainian mathematician Anatoliy Skorokhod. Part of its importance is that it unifies… …   Wikipedia

  • Normed vector space — In mathematics, with 2 or 3 dimensional vectors with real valued entries, the idea of the length of a vector is intuitive and can easily be extended to any real vector space Rn. The following properties of vector length are crucial. 1. The zero… …   Wikipedia


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