homogeneous number
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Homogeneous — Ho mo*ge ne*ous, a. [Gr. ?; ? the same + ? race, kind: cf. F. homog[ e]ne. See {Same}, and {Kin}.] 1. Of the same kind of nature; consisting of similar parts, or of elements of the like nature; opposed to heterogeneous; as, homogeneous particles … The Collaborative International Dictionary of English
Homogeneous polynomial — In mathematics, a homogeneous polynomial is a polynomial whose terms are monomials all having the same total degree; or are elements of the same dimension. For example, x^5 + 2 x^3 y^2 + 9 x^1 y^4 is a homogeneous polynomial of degree 5, in two… … 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 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
Homogeneous space — In mathematics, particularly in the theories of Lie groups, algebraic groups and topological groups, a homogeneous space for a group G is a non empty manifold or topological space X on which G acts continuously by symmetry in a transitive way. A… … 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 charge compression ignition — Thermodynamics … Wikipedia
Number 1's (Mariah Carey album) — The correct title of this article is #1 s (Mariah Carey album). The substitution or omission of the # sign is because of technical restrictions. #1 s … Wikipedia
Homogeneous (large cardinal property) — In the context of a large cardinal property, a subset, S , of D is homogeneous for a function f means that for some natural number n , D n is the domain of f and for some element r of the range of f , every member of S n is mapped to r . That is … Wikipedia
homogeneous network — A network that consists of one type of workstation, server, network interface card, and operating system, with a limited number of applications, all purchased from a single vendor. All nodes use the same protocol and the same control… … Dictionary of networking
