(of the homogeneous equation)
1Theoretical and experimental justification for the Schrödinger equation — The theoretical and experimental justification for the Schrödinger equation motivates the discovery of the Schrödinger equation, the equation that describes the dynamics of nonrelativistic particles. The motivation uses photons, which are… …
2Homogeneous 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… …
3Homogeneous 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… …
4Homogeneous 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… …
5Homogeneous 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 …
6Homogeneous charge compression ignition — Thermodynamics …
7Homogeneous 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… …
8homogeneous — homogeneously, adv. /hoh meuh jee nee euhs, jeen yeuhs, hom euh /, adj. 1. composed of parts or elements that are all of the same kind; not heterogeneous: a homogeneous population. 2. of the same kind or nature; essentially alike. 3. Math. a.… …
9homogeneous — ho•mo•ge•ne•ous [[t]ˌhoʊ məˈdʒi ni əs, ˈdʒin yəs, ˌhɒm ə [/t]] adj. 1) gen composed of parts or elements that are all of the same kind; not heterogeneous: a homogeneous population[/ex] 2) of the same kind or nature; essentially alike 3) Math. a)… …
10homogeneous — adjective Etymology: Medieval Latin homogeneus, homogenus, from Greek homogenēs, from hom + genos kind more at kin Date: 1641 1. of the same or a similar kind or nature 2. of uniform structure or composition throughout < a culturally homogeneous… …
