parabolic equation

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• parabolic equation —       any of a class of partial differential equations arising in the mathematical analysis of diffusion phenomena, as in the heating of a slab. The simplest such equation in one dimension, uxx = ut, governs the temperature distribution at the… …   Universalium

• 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

• 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 antenna — A parabolic satellite communications antenna at Erdfunkstelle Raisting, the biggest facility for satellite communication in the world, in Raisting, Bavaria, Germany. It has a Cassegrain type feed. A parabolic antenna is an antenna that uses a… …   Wikipedia

• Parabolic partial differential equation — A parabolic partial differential equation is a type of second order partial differential equation, describing a wide family of problems in science including heat diffusion and stock option pricing. These problems, also known as evolution problems …   Wikipedia

• Parabolic trajectory — In astrodynamics or celestial mechanics a parabolic trajectory is a Kepler orbit with the eccentricity equal to 1. When moving away from the source it is called an escape orbit, otherwise a capture orbit.Under standard assumptions a body… …   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

• Équation aux dérivées partielles — En mathématiques, plus précisément en calcul différentiel, une équation aux dérivées partielles (EDP) est une équation dont les solutions sont les fonctions inconnues vérifiant certaines conditions concernant leurs dérivées partielles. Une EDP a… …   Wikipédia en Français

• Parabolic constant — In mathematics, the ratio of the arc length of the parabolic segment formed by the latus rectum of any parabola to its focal parameter is a constant, denoted ! P 2 .In the diagram, the latus rectum is pictured in blue, the parabolic segment that… …   Wikipedia

• parabolic — 1. adjective a) Of, or pertaining to, or in the shape of a parabola or paraboloid b) Of or pertaining to a parable 2. noun A parabolic function, equation etc …   Wiktionary

• Partial differential equation — A visualisation of a solution to the heat equation on a two dimensional plane In mathematics, partial differential equations (PDE) are a type of differential equation, i.e., a relation involving an unknown function (or functions) of several… …   Wikipedia