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parametric representation of curves

См. также в других словарях:

  • 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

  • Parametric equation — butterfly curve. In mathematics, parametric equations are a method of defining a curve. A simple kinematical example is when one uses a time parameter to determine the position, velocity, and other information about a body in motion.Abstractly, a …   Wikipedia

  • List of curves 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[1] Bézier curve Bézout s theorem Birch… …   Wikipedia

  • Function representation — In computer graphics the function representation (FRep [Shape Modeling and Computer Graphics with Real Functions, [http://www.hyperfun.org/F rep.html FRep Home Page] ] or F Rep) is used in solid modeling. FRep was introduced in Function… …   Wikipedia

  • Ruled surface — A hyperboloid of one sheet is a doubly ruled surface: it can be generated by either of two families of straight lines. In geometry, a surface S is ruled if through every point of S there is a straight line that lies on S. The most familiar… …   Wikipedia

  • 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

  • Curvature — In mathematics, curvature refers to any of a number of loosely related concepts in different areas of geometry. Intuitively, curvature is the amount by which a geometric object deviates from being flat, or straight in the case of a line, but this …   Wikipedia

  • Calculus of variations — is a field of mathematics that deals with extremizing functionals, as opposed to ordinary calculus which deals with functions. A functional is usually a mapping from a set of functions to the real numbers. Functionals are often formed as definite …   Wikipedia

  • Serpentine curve — A serpentine curve is a curve whose equation is of the formx^2y+aby a^2x=0, where ab > 0. Equivalently, it has a parametric representation x=acot(t), y=bsin (t)cos(t). Serpentine curves were studied by L Hopital and Huygens, and named and… …   Wikipedia

  • Rational normal curve — In mathematics, the rational normal curve is a smooth, rational curve C of degree n in projective n space mathbb{P}^n. It is a simple example of a projective variety. The twisted cubic is the special case of n =3.DefinitionThe rational normal… …   Wikipedia

  • Superellipsoid — In mathematics, a super ellipsoid or superellipsoid is solid whose horizontal sections are super ellipses (Lamé curves) with the same exponent r , and whose vertical sections through the center are super ellipses with the same exponent t .Super… …   Wikipedia

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