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Webster 1913 Edition


Homogeneous

Hoˊmo-ge′ne-ous

,
Adj.
[Gr. [GREEK]; [GREEK] the same + [GREEK] race, kind: cf. F.
homogène
. 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
.

Webster 1828 Edition


Homogeneous

HOMOGE'NEOUS

,
Adj.
[Gr. like, and kind.] Of the same kind or nature; consisting of similar parts, or of elements of the like nature. Thus we say, homogeneous particles, elements or principles; homogeneous bodies.

Definition 2024


homogeneous

homogeneous

English

Alternative forms

Adjective

homogeneous (not comparable)

  1. Of the same kind; alike, similar.
  2. 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.
  3. (chemistry) in the same state of matter.
  4. (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).
  5. (proscribed) Alternative form of homogenous

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