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elliptic set

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  • Elliptic curve cryptography — (ECC) is an approach to public key cryptography based on the algebraic structure of elliptic curves over finite fields. The use of elliptic curves in cryptography was suggested independently by Neal Koblitz[1] and Victor S. Miller[2] in 1985.… …   Wikipedia

  • Elliptic coordinates — are a two dimensional orthogonal coordinate system in which the coordinate lines are confocal ellipses and hyperbolae. The two foci F {1} and F {2} are generally taken to be fixed at a and+a, respectively, on the x axis of the Cartesian… …   Wikipedia

  • Elliptic cylindrical coordinates — are a three dimensional orthogonal coordinate system that results from projecting the two dimensional elliptic coordinate system in theperpendicular z direction. Hence, the coordinate surfaces are prisms of confocal ellipses and hyperbolae. The… …   Wikipedia

  • Elliptic curve primality proving — (ECPP) is a method based on elliptic curves to prove the primality of a number. It is a general purpose algorithm, meaning it does not depend on the number being a special form. ECPP is currently in practice the fastest known algorithm for… …   Wikipedia

  • Elliptic orbit — A small body in space orbits a large one (like a planet around the sun) along an elliptical path, with the large body being located at one of the ellipse foci …   Wikipedia

  • Elliptic curve — In mathematics, an elliptic curve is a smooth, projective algebraic curve of genus one, on which there is a specified point O . An elliptic curve is in fact an abelian variety mdash; that is, it has a multiplication defined algebraically with… …   Wikipedia

  • Elliptic function — In complex analysis, an elliptic function is a function defined on the complex plane that is periodic in two directions (a doubly periodic function) and at the same time is meromorphic. Historically, elliptic functions were discovered as inverse… …   Wikipedia

  • Elliptic rational functions — In mathematics the elliptic rational functions are a sequence of rational functions with real coefficients. Elliptic rational functions are extensively used in the design of elliptic electronic filters. (These functions are sometimes called… …   Wikipedia

  • Elliptic boundary value problem — In mathematics, an elliptic boundary value problem is a special kind of boundary value problem which can be thought of as the stable state of an evolution problem. For example, the Dirichlet problem for the Laplacian gives the eventual… …   Wikipedia

  • Jacobi's elliptic functions — In mathematics, the Jacobi elliptic functions are a set of basic elliptic functions, and auxiliary theta functions, that have historical importance with also many features that show up important structure, and have direct relevance to some… …   Wikipedia

  • Capacity of a set — In mathematics, the capacity of a set in Euclidean space is a measure of that set s size . Unlike, say, Lebesgue measure, which measures a set s volume or physical extent, capacity is a mathematical analogue of a set s ability to hold electrical… …   Wikipedia

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