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Webster 1913 Edition
Homogeneous
Hoˊmo-ge′ne-ous
,Adj.
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
polynomialWebster 1828 Edition
Homogeneous
HOMOGE'NEOUS
,Adj.
Definition 2024
homogeneous
homogeneous
English
Alternative forms
- (deprecated) Alternative form of homogenous
Adjective
homogeneous (not comparable)
- Of the same kind; alike, similar.
- Having the same composition throughout; of uniform make-up.
- 1946, Bertrand Russell, History of Western Philosophy, I.25:
- Their citizens were not of homogeneous origin, but were from all parts of Greece.
- 1946, Bertrand Russell, History of Western Philosophy, I.25:
- (chemistry) in the same state of matter.
- (mathematics) Of which the properties of a smaller set apply to the whole; scalable.
- The function f(x,y)=x2+y2 is homogeneous of degree 2 because f(αx,αy)=α2f(x,y).
- (proscribed) Alternative form of homogenous
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Terms derived from homogeneous
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Translations
of the same kind; alike, similar
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having the same composition throughout