parametrization function

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• Parametrization — Parameterization (or parametrization; parameterisation in British English) is the process of defining or deciding the parameters usually of some model that are salient to the question being asked of that model. Context dependent meaning If, for… …   Wikipedia

• Probability density function — Boxplot and probability density function of a normal distribution N(0, σ2). In probability theory, a probability density function (pdf), or density of a continuous random variable is a function that describes the relative likelihood for this… …   Wikipedia

• Gamma function — For the gamma function of ordinals, see Veblen function. The gamma function along part of the real axis In mathematics, the gamma function (represented by the capital Greek letter Γ) is an extension of the factorial function, with its… …   Wikipedia

• Implicit function — In mathematics, an implicit function is a generalization for the concept of a function in which the dependent variable has not been given explicitly in terms of the independent variable. To give a function f explicitly is to provide a… …   Wikipedia

• Feynman parametrization — is a technique for evaluating loop integrals which arise from Feynman diagrams with one or more loops. However, it is sometimes useful in integration in areas of pure mathematics too.Richard Feynman observed that::frac{1}{AB}=int^1 0… …   Wikipedia

• Positive definite function on a group — In operator theory, a positive definite function on a group relates the notions of positivity, in the context of Hilbert spaces, and algebraic groups. It can be viewed as a particular type of positive definite kernel where the underlying set has… …   Wikipedia

• 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

• Round function — In topology and in calculus, a round function is a scalar function , over a manifold M, whose critical points form one or several connected components, each homeomorphic to the circle S1, also called critical loops. They are special cases of… …   Wikipedia

• McCullagh's parametrization of the Cauchy distributions — In probability theory, the standard Cauchy distribution is the probability distribution whose probability density function is for x real. This has median 0, and first and third quartiles respectively −1 and +1. Generally, a Cauchy distribution is …   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

• Differential geometry of curves — This article considers only curves in Euclidean space. Most of the notions presented here have analogues for curves in Riemannian and pseudo Riemannian manifolds. For a discussion of curves in an arbitrary topological space, see the main article… …   Wikipedia