Definition of Homogeneous. Meaning of Homogeneous. Synonyms of Homogeneous

Here you will find one or more explanations in English for the word Homogeneous. Also in the bottom left of the page several parts of wikipedia pages related to the word Homogeneous and, of course, Homogeneous synonyms and on the right images related to the word Homogeneous.

Definition of Homogeneous

Homogeneous
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, elements, or principles; homogeneous bodies. 2. (Alg.) Possessing the same number of factors of a given kind; as, a homogeneous polynomial.

Meaning of Homogeneous from wikipedia

- the uniformity in a substance or organism. A material or image that is homogeneous is uniform in composition or character (i.e. color, shape, size, weight...
- In mathematics, a homogeneous function is one with multiplicative scaling behaviour: if all its arguments are multiplied by a factor, then its value is...
- In mathematics, homogeneous coordinates or projective coordinates, introduced by August Ferdinand Möbius in his 1827 work Der barycentrische Calcül, are...
- A homogeneous mixture is a solid, liquid, or gaseous mixture that has the same proportions of its components throughout any given sample. Conversely,...
- In chemistry, homogeneous catalysis is catalysis in a solution by a soluble catalyst. Homogeneous catalysis refers to catalytic reactions where the catalyst...
- differential equation can be homogeneous in either of two respects. A first order differential equation is said to be homogeneous if it may be written f (...
- In mathematics, a homogeneous polynomial is a polynomial whose nonzero terms all have the same degree. For example, x 5 + 2 x 3 y 2 + 9 x y 4 {\displaystyle...
- 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...
- relation. An example of a homogeneous relation is the relation of kinship, where the relation is over people. Homogeneous relation may be viewed as directed...
- differential equation or a system of linear equations such that the ****ociated homogeneous equations have constant coefficients may be solved by quadrature (mathematics)...
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