homogeneous

[hoh-muh-jee-nee-uhs, -jeen-yuhs, hom-uh-]
adjective
1.
composed of parts or elements that are all of the same kind; not heterogeneous: a homogeneous population.
2.
of the same kind or nature; essentially alike.
3.
Mathematics.
a.
having a common property throughout: a homogeneous solid figure.
b.
having all terms of the same degree: a homogeneous equation.
c.
relating to a function of several variables that becomes multiplied by some power of a constant when each variable is multiplied by that constant: x 2 y 3 is a homogeneous expression of degree 5.
d.
relating to a differential equation in which a linear combination of derivatives is set equal to zero.

Origin:
1635–45; < Medieval Latin homogeneus, equivalent to homogene- (stem of Greek homogenḗs of the same kind; see homo-, gene) + -us -ous

homogeneously, adverb
nonhomogeneous, adjective
nonhomogeneously, adverb
nonhomogeneousness, noun
unhomogeneous, adjective
unhomogeneously, adverb
unhomogeneousness, noun

1. heterogeneous, heterogenous, homogeneous, homogenous ; 2. homogeneous, homogenous.


1. unvarying, unmixed, alike, similar, identical.
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World English Dictionary
homogeneous (ˌhəʊməˈdʒiːnɪəs, ˌhɒm-)
 
adj
1.  composed of similar or identical parts or elements
2.  of uniform nature
3.  similar in kind or nature
4.  having a constant property, such as density, throughout
5.  maths
 a.  (of a polynomial) containing terms of the same degree with respect to all the variables, as in x² + 2xy + y²
 b.  (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
 c.  (of an equation) containing a homogeneous function made equal to 0
6.  chem Compare heterogeneous of, composed of, or concerned with a single phase
 
homogeneity
 
n
 
homo'geneously
 
adv
 
homo'geneousness
 
n

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Dictionary.com's 21st Century Lexicon
Main Entry:  homogeneous
Part of Speech:  adj
Definition:  in chemistry, involving substances in the same phase (solid, liquid, or gas)
Example:  A homogeneous substance is salt, NaCl.
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Etymonline
Word Origin & History

homogeneous
1640s, from M.L. homogeneus, from Gk. homogenes "of the same kind," from homos "same" (see same) + genos "kind, gender, race, stock" (see genus). Earlier in this sense was homogeneal (c.1600). Homogenize "make similar" formed in Eng. 1886; its sense
of "render milk uniform in consistency" is from 1904.
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Medical Dictionary

homogeneous ho·mo·ge·ne·ous (hō'mə-jē'nē-əs, -jēn'yəs)
adj.

  1. Of the same or similar nature or kind.

  2. Uniform in structure or composition throughout, as of a chemical mixture.

The American Heritage® Stedman's Medical Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.
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FOLDOC
Computing Dictionary

homogeneous definition


(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)
The Free On-line Dictionary of Computing, © Denis Howe 2010 http://foldoc.org
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Example sentences
Seattle was too homogeneous, too provincial and too rainy for his taste, he
  said.
Suburban developments were settled by mostly white families, giving suburbs a
  homogeneous reputation.
King's nostalgic prescriptions imply a static, homogeneous student body that
  simply does not exist in most schools today.
The overseas market is not a homogeneous market.
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