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elliptic coordinates

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  • 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 coordinates — elipsinės koordinatės statusas T sritis fizika atitikmenys: angl. elliptic coordinates; elliptical coordinates vok. elliptische Koordinaten, f rus. эллиптические координаты, f pranc. coordonnées elliptiques, f …   Fizikos terminų žodynas

  • 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 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 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 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 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

  • elliptic equation — ▪ mathematics       any of a class of partial differential equations (partial differential equation) describing phenomena that do not change from moment to moment, as when a flow of heat or fluid takes place within a medium with no accumulations …   Universalium

  • Conical coordinates — Coordinate surfaces of the conical coordinates. The constants b and c were chosen as 1 and 2, respectively. The red sphere represents r=2, the blue elliptic cone aligned with the vertical z axis represents μ=cosh(1) and the yellow elliptic cone… …   Wikipedia

  • Oblate spheroidal coordinates — Figure 1: Coordinate isosurfaces for a point P (shown as a black sphere) in oblate spheroidal coordinates (μ, ν, φ). The z axis is vertical, and the foci are at ±2. The red oblate spheroid (flattened sphere) corresponds to μ=1, whereas the blue… …   Wikipedia

  • Paraboloidal coordinates — are a three dimensional orthogonal coordinate system (λ,μ,ν) that generalizes the two dimensional parabolic coordinate system. Similar to the related ellipsoidal coordinates, the paraboloidal coordinate system has orthogonal quadratic coordinate… …   Wikipedia

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