3 definitions found
From Webster's Revised Unabridged Dictionary (1913) [web1913]:
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.
From WordNet r 1.6 [wn]:
homogeneous
adj : of the same or similar kind or nature; "a tight-knit
homogeneous society" [ant: {heterogeneous}]
From The Free On-line Dictionary of Computing (13 Mar 01) [foldoc]:
homogeneous
(Or "homogenous") Of uniform nature, similar in kind
1. In the context of {distributed systems}, {middleware} makes
{heterogeneous} systems appear as a homogeneous entity. For
example see: {interoperable network}.
Constrast {heterogeneous}.
2. (Of a {polynomial}) containing terms of the
same degree with respect to all the variables, as in x^2 + 2xy
+ y^2.
3. (Of a {function}) containing a set of
variables such that when each is multiplied by a constant,
this constant can be eliminated without altering the value of
the function, as in cos x/y + x/y.
4. (of an equation) containing a homogeneous
function made equal to 0.
(1999-05-06)
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