Lexic.us

Definition of Homogeneous

1. Adjective. All of the same or similar kind or nature. "A close-knit homogeneous group"

Definition of Homogeneous

1. a. 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.

Definition of Homogeneous

1. Adjective. Of the same kind; alike, similar. ¹

2. Adjective. Having the same composition throughout; of uniform make-up. ¹

3. Adjective. (chemistry) in the same state of matter. ¹

4. Adjective. (mathematics) Of which the properties of a smaller set apply to the whole; scalable. ¹

¹ Source: wiktionary.com

Definition of Homogeneous

1. [adj]

Medical Definition of Homogeneous

1. Consisting of or composed of similar elements or ingredients, of a uniform quality throughout. Origin: Gr. Genos = kind This entry appears with permission from the Dictionary of Cell and Molecular Biology (11 Mar 2008)

Lexicographical Neighbors of Homogeneous

Literary usage of Homogeneous

Below you will find example usage of this term as found in modern and/or classical literature:

1. Algebra: An Elementary Text-book, for the Higher Classes of Secondary by George Chrystal (1904)
"This property might be made the definition of a homogeneous function. Thus we might define a homogeneous function to be such that, when each of its ..."

2. Proceedings of the Royal Society of London by Royal Society (Great Britain) (1894)
"The homogeneous division of any volume of space means the dividing of it into equal and similar parts, or cells, as I shall call them, ..."

3. Higher Mathematics for Students of Chemistry and Physics: With Special by Joseph William Mellor (1902)
"Euler's Theorem on homogeneous Functions. The following discussion is convenient for reference : To show that if u is an homogeneous function * of the nth ..."

4. Introductory Treatise on Lie's Theory of Finite Continuous Transformation Groups by John Edward Campbell (1903)
"Let Wj, ...,um+q be a complete homogeneous system; by properly choosing the fundamental functions of the system we may suppose that um+l, ...,um+ are the ..."

5. A Course in Mathematical Analysis by Édouard Goursat, Earle Raymond Hedrick (1917)
"homogeneous equations. A differential equation of the first order is said to be homogeneous if it can be written in the form (16) dy f(y\ dx \x) where the ..."

6. The Phase Rule and Its Applications by Alexander Findlay (1908)
"homogeneous and Heterogeneous Equilibrium.—Before passing to the consideration of this generalization, it will be well to first make mention of certain ..."

7. Theory of Differential Equations by Andrew Russell Forsyth (1906)
"COMPLETE LINEAR SYSTEMS THAT ARE NOT homogeneous. 45. The complete linear systems that have been considered are homogeneous in the derivatives of z: and the ..."

8. A Treatise on Electricity and Magnetism by James Clerk Maxwell (1873)
"Equation of Continuity in a homogeneous Medium. 301.] If we express the components of the electromotive force as the derivatives of the potential F, ..."

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