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asymptotic curve

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  • Asymptotic curve — In the differential geometry of surfaces, an asymptotic curve is a curve always tangent to an asymptotic direction of the surface (where they exist). It is sometimes called an asymptotic line, although it need not be a line. An asymptotic… …   Wikipedia

  • asymptotic curve — asimptotė statusas T sritis fizika atitikmenys: angl. asymptote; asymptotic curve vok. Asymptote, f; asymptotische Kurve, f rus. асимптота, f; асимптотическая кривая, f pranc. asymptote, f; courbe asymptote, f …   Fizikos terminų žodynas

  • asymptotic curve — noun or asymptotic line : a curve on a surface whose osculating plane at each point coincides with the tangent plane to the surface at that point …   Useful english dictionary

  • Asymptotic analysis — This article is about the comparison of functions as inputs approach infinite. For asymptotes in geometry, see asymptotic curve. In mathematical analysis, asymptotic analysis is a method of describing limiting behavior. The methodology has… …   Wikipedia

  • asymptotic line — noun see asymptotic curve …   Useful english dictionary

  • Asymptotic theory — is the branch of mathematics which studies properties of asymptotic expansions.The most known result of this field is the prime number theorem:Let pi;( x ) be the number of prime numbers that are smaller than or equal to x .The limit:lim {x… …   Wikipedia

  • asymptotic — A line is asymptotic to a curve if the distance between the line and the curve tends to zero as the distance along the curve tends to infinity …   Philosophy dictionary

  • Asymptotic stability — See also Lyapunov stability for an alternate definition used in dynamical systems. In control theory, a continuous linear time invariant system is asymptotically stable if and only if the system has eigenvalues only with strictly negative real… …   Wikipedia

  • asymptotic — adj. pertaining to a straight line which approaches but never intercepts a curve (Mathematics) …   English contemporary dictionary

  • List of curve topics — This is a list of curve topics in mathematics. See also curve, list of curves, and list of differential geometry topics.*acnode *algebraic curve *arc *asymptote *asymptotic curve *Barbier s theorem *barycentric… …   Wikipedia

  • Deltoid curve — The red curve is a deltoid. In geometry, a deltoid, also known as a tricuspoid or Steiner curve, is a hypocycloid of three cusps. In other words, it is the roulette created by a point on the circumference of a circle as it rolls without slipping… …   Wikipedia

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