Parabolic coordinates are a two-dimensional orthogonal coordinate system in which the coordinate lines are confocal parabolas. A three-dimensional version...

parabolic cylinders. Parabolic cylindrical coordinates have found many applications, e.g., the potential theory of edges. The parabolic cylindrical coordinates...

variables is used on Laplace's equation when expressed in parabolic cylindrical coordinates. The above equation may be brought into two distinct forms...

complete solution for S {\displaystyle S} . The Hamiltonian in parabolic cylindrical coordinates can be written H = p σ 2 + p τ 2 2 m ( σ 2 + τ 2 ) + p z 2...

parable. Parabolic may refer to: In mathematics: In elementary mathematics, especially elementary geometry: Parabolic coordinates Parabolic cylindrical coordinates...

an element of the cylindrical surface. A solid bounded by a cylindrical surface and two parallel planes is called a (solid) cylinder. The line segments...

parabolic coordinates. They possess elliptic paraboloids as one-coordinate surfaces. As such, they should be distinguished from parabolic cylindrical coordinates...

 θ, z). Spherical coordinates take this a step further by converting the pair of cylindrical coordinates (r, z) to polar coordinates (ρ, φ) giving a triple...

Cartesian coordinates, one has to solve a (difficult) two dimensional boundary value problem involving a partial differential equation, but in cylindrical coordinates...

associated adjective parabolic are often used in place of paraboloid and paraboloidal. If a parabola is positioned in Cartesian coordinates with its vertex...

A parabolic antenna is an antenna that uses a parabolic reflector, a curved surface with the cross-sectional shape of a parabola, to direct the radio...

cone, parabolic cylinder, elliptical paraboloid, hyperbolic paraboloid, hyperboloid of one sheet, hyperboloid of two sheets. Elliptic cone Parabolic cylinder...

In polar coordinates, Laplace's equation is (see Del in cylindrical and spherical coordinates): 1 r ∂ ∂ r ( r ∂ ϕ ∂ r ) + 1 r 2 ∂ 2 ϕ ∂ θ 2 = 0 . {\displaystyle...

intuitive to model using polar coordinates. The polar coordinate system is extended to three dimensions in two ways: the cylindrical coordinate system adds a...

inconic Director circle Elliptic coordinate system Equidistant set Parabolic coordinates Quadratic function Spherical conic The empty set is included as...

in a Newtonian context is modelled by the Fourier equation, namely a parabolic partial differential equation of the kind: ∂ θ ∂ t   =   α   ∇ 2 θ , {\displaystyle...

first case one defines the cyclide as elliptic, in the second case as parabolic. In both cases the conics are contained in two mutually orthogonal planes...

the concept of leakage. Another useful coordinate system is 3D cylindrical coordinates (typically where a pumping well is a line source located at the...

cylindrical coordinates spherical coordinates Prolate spheroidal coordinates Oblate spheroidal coordinates Parabolic coordinates Toroidal coordinates...

meridian. In mathematics, the azimuth angle of a point in cylindrical coordinates or spherical coordinates is the anticlockwise angle between the positive x-axis...

complex plane, which is parabolic. With two punctures, it is the punctured plane or alternatively annulus or cylinder, which is parabolic. With three or more...

metres (1,296 ft). The lantern was equipped with catoptrics lens and parabolic reflectors lit by 18 oil lamps. As the top of the island was frequently...

Luneburg lens antenna is comparable to a parabolic dish antenna, but uses the lens rather than a parabolic reflector as the main focusing element. As...

curvilinear orthogonal coordinates, e.g. in Cartesian coordinates, spherical, cylindrical, or even elliptical or parabolic coordinates: ( curl ⁡ F ) 1 = 1...

rotates with constant angular velocity. Equivalently, in modern polar coordinates (r, θ), it can be described by the equation r = a + b θ {\displaystyle...

Noncommutative algebraic geometry Noncommutative geometry Ordered geometry Parabolic geometry Plane geometry Projective geometry Quantum geometry Riemannian...

*The first known popularizer/user and not necessarily the creator. Cylindrical In normal aspect, these map regularly-spaced meridians to equally spaced...

564 by 640 m (30000 square meter) multi-element Northern Cross cylindrical-parabolic transit radio telescope for observing at 408 MHz. The Northern Cross...

in a cylindrical vessel and is rotating around a vertical axis coinciding with the axis of the cylinder, the free surface will assume a parabolic surface...

can be solved in cylindrical coordinates ( r , θ , z ) {\displaystyle (r,\theta ,z)} . Denote the radii of the inner and outer cylinders as R 1 {\displaystyle...