parabolic coordinates

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• Parabolic coordinates — are a two dimensional orthogonal coordinate system in which the coordinate lines are confocal parabolas. A three dimensional version of parabolic coordinates is obtained by rotating the two dimensional system about the symmetry axis of the… …   Wikipedia

• parabolic coordinates — parabolinės koordinatės statusas T sritis fizika atitikmenys: angl. parabolic coordinates vok. parabolische Koordinaten, f rus. параболические координаты, f pranc. coordonnées paraboliques, f …   Fizikos terminų žodynas

• Parabolic cylindrical coordinates — are a three dimensional orthogonal coordinate system that results from projecting the two dimensional parabolic coordinate system in theperpendicular z direction. Hence, the coordinate surfaces are confocal parabolic cylinders. Parabolic… …   Wikipedia

• Coordinates (mathematics) — Coordinates are numbers which describe the location of points in a plane or in space. For example, the height above sea level is a coordinate which is useful for describing points near the surface of the earth. A coordinate system, in a plane or… …   Wikipedia

• Parabolic cylinder function — In mathematics, the parabolic cylinder functions are special functions defined as solutions to the differential equation:frac{d^2f}{dz^2} + left(az^2+bz+c ight)f=0.This equation is found, for example, when the technique of separation of variables …   Wikipedia

• Action-angle coordinates — In classical mechanics, action angle coordinates are a set of canonical coordinates useful in solving many integrable systems. The method of action angles is useful for obtaining the frequencies of oscillatory or rotational motion without solving …   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

• Curvilinear coordinates — Curvilinear, affine, and Cartesian coordinates in two dimensional space Curvilinear coordinates are a coordinate system for Euclidean space in which the coordinate lines may be curved. These coordinates may be derived from a set of Cartesian… …   Wikipedia

• Orthogonal coordinates — In mathematics, orthogonal coordinates are defined as a set of d coordinates q = (q1, q2, ..., qd) in which the coordinate surfaces all meet at right angles (note: superscripts are indices, not exponents). A coordinate surface for a particular… …   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

• Ellipsoidal coordinates — are a three dimensional orthogonal coordinate system (λ,μ,ν) that generalizes the two dimensional elliptic coordinate system. Unlike most three dimensional orthogonal coordinate systems that feature quadratic coordinate surfaces, the ellipsoidal… …   Wikipedia