special parametrization

  • 1Differential 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… …

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  • 2Parametric 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… …

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  • 3Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …

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  • 4Cauchy distribution — Not to be confused with Lorenz curve. Cauchy–Lorentz Probability density function The purple curve is the standard Cauchy distribution Cumulative distribution function …

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  • 5Möbius strip — This article is about the mathematical object. For musical group, see Mobius Band (band). A Möbius strip made with a piece of paper and tape. If an ant were to crawl along the length of this strip, it would return to its starting point having… …

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  • 6Classical modular curve — In number theory, the classical modular curve is an irreducible plane algebraic curve given by an equation Φn(x, y)=0, where for the j invariant j(τ), x=j(n τ), y=j(τ) is a point on the curve. The curve is sometimes called X0(n), though often… …

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  • 7BKL singularity — A BKL (Belinsky Khalatnikov Lifshitz) singularityHarvnb|Belinsky|Khalatnikov|Lifshitz|1970] is a model of the dynamic evolution of the Universe near the initial singularity, described by a non symmetric, chaotic, vacuum solution to Einstein s… …

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  • 8Multivariate stable distribution — multivariate stable Probability density function Heatmap showing a Multivariate (bivariate) stable distribution with α = 1.1 parameters: exponent shift/location vector …

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  • 9Isoelastic utility — In economics, the isoelastic function for utility, also known as the isoelastic utility function, constant relative risk aversion utility function, or power utility function, is used to express utility in terms of consumption or some other… …

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  • 10Degenerate conic — Main article: Conic section In mathematics, a degenerate conic is a conic (degree 2 plane curve, the zeros of a degree 2 polynomial equation, a quadratic) that fails to be an irreducible curve. This can happen in two ways: either it is a… …

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