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The equation is homogeneous

См. также в других словарях:

  • Homogeneous function — In mathematics, a homogeneous function is a function with multiplicative scaling behaviour: if the argument is multiplied by a factor, then the result is multiplied by some power of this factor.Formal definitionSuppose that f: V arr W qquadqquad… …   Wikipedia

  • Homogeneous differential equation — A homogeneous differential equation has several distinct meanings.One meaning is that a first order ordinary differential equation is homogeneous if it has the form : frac{dy}{dx} = F(y/x).To solve such equations, one makes the change of… …   Wikipedia

  • Homogeneous coordinate system — A homogeneous coordinate system is a coordinate system in which there is an extra dimension, used most commonly in computer science to specify whether the given coordinates represent a vector (if the last coordinate is zero) or a point (if the… …   Wikipedia

  • Homogeneous coordinates — In mathematics, homogeneous coordinates, introduced by August Ferdinand Möbius in his 1827 work Der barycentrische Calcul [ [http://www history.mcs.st andrews.ac.uk/Biographies/Mobius.html Mobius biography ] ] , allow affine transformations to be …   Wikipedia

  • Homogeneous coordinate ring — In algebraic geometry, the homogeneous coordinate ring R of an algebraic variety V given as a subvariety of projective space of a given dimension N is by definition the quotient ring R = K[X0, X1, X2, ..., XN]/I where I is the homogeneous ideal… …   Wikipedia

  • The chemical basis of morphogenesis — is an article written by Alan Turing in 1951 describing the way in which non uniformity (stripes, spots, spirals, etc) may arise naturally out of a homogeneous, uniform state. The theory (which can be called a reaction–diffusion theory of… …   Wikipedia

  • Heat equation — The heat equation is an important partial differential equation which describes the distribution of heat (or variation in temperature) in a given region over time. For a function of three spatial variables ( x , y , z ) and one time variable t ,… …   Wikipedia

  • Electromagnetic wave equation — The electromagnetic wave equation is a second order partial differential equation that describes the propagation of electromagnetic waves through a medium or in a vacuum. The homogeneous form of the equation, written in terms of either the… …   Wikipedia

  • Van der Waals equation — The van der Waals equation is an equation of state for a fluid composed of particles that have a non zero size and a pairwise attractive inter particle force (such as the van der Waals force.) It was derived by Johannes Diderik van der Waals in… …   Wikipedia

  • Electric field integral equation — The electric field integral equation is a relationship that allows one to calculate the electric field intensity E generated by an electric current distribution J .DerivationWe consider all quantities in the frequency domain, and so assume a time …   Wikipedia

  • Homogeneous charge compression ignition — Thermodynamics …   Wikipedia

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