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vector-valued function

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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 bundle — The Möbius strip is a line bundle over the 1 sphere S1. Locally around every point in S1, it looks like U × R, but the total bundle is different from S1 × R (which is a cylinder instead). In mathematics, a vector bundle is a… …   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

  • Function (mathematics) — f(x) redirects here. For the band, see f(x) (band). Graph of example function, In mathematics, a function associates one quantity, the a …   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

  • 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

  • Position vector — A position, location or radius vector is a vector which represents the position of an object in space in relation to an arbitrary reference point. The concept applies to two or three dimensional space.Keller, F. J, Gettys, W. E. et al. (1993),… …   Wikipedia

  • Function composition — For function composition in computer science, see function composition (computer science). g ∘ f, the composition of f and g. For example, (g ∘ f)(c) = #. In mathematics, function composition is the application of one function to the resul …   Wikipedia

  • Characteristic function (probability theory) — The characteristic function of a uniform U(–1,1) random variable. This function is real valued because it corresponds to a random variable that is symmetric around the origin; however in general case characteristic functions may be complex valued …   Wikipedia

  • Moment-generating function — In probability theory and statistics, the moment generating function of any random variable is an alternative definition of its probability distribution. Thus, it provides the basis of an alternative route to analytical results compared with… …   Wikipedia

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