one-to-one parametrization

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• One-shot learning — is an object categorization problem of current research interest in computer vision. Whereas most machine learning based object categorization algorithms require training on hundreds or thousands of images and very large datasets, one shot… …   Wikipedia

• 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

• One-parameter group — In mathematics, a one parameter group or one parameter subgroup usually means a continuous group homomorphism φ : R → G from the real line R (as an additive group) to some other topological group G. That means that it is not in fact a group …   Wikipedia

• Schwinger parametrization — is a technique for evaluating loop integrals which arise from Feynman diagrams with one or more loops.Using the well known observation that:frac{1}{A^n}=frac{1}{(n 1)!}int^infty 0 du , u^{n 1}e^{ uA},Julian Schwinger noticed that one may simplify …   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

• 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

• Surface integral — In mathematics, a surface integral is a definite integral taken over a surface (which may be a curved set in space); it can be thought of as the double integral analog of the line integral. Given a surface, one may integrate over it scalar fields …   Wikipedia

• Boy's surface — In geometry, Boy s surface is an immersion of the real projective plane in 3 dimensional space found by Werner Boy in 1901 (he discovered it on assignment from David Hilbert to prove that the projective plane could not be immersed in 3 space).… …   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

• Parametric surface — A parametric surface is a surface in the Euclidean space R3 which is defined by a parametric equation with two parameters. Parametric representation is the most general way to specify a surface. Surfaces that occur in two of the main theorems of… …   Wikipedia

• Rotation representation (mathematics) — In geometry a rotation representation expresses the orientation of an object (or coordinate frame) relative to a coordinate reference frame. This concept extends to classical mechanics where rotational (or angular) kinematics is the science of… …   Wikipedia