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Webster's New Millennium™ Dictionary of English - Cite This Source - Share This
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.

Webster's New Millennium™ Dictionary of English, Preview Edition (v 0.9.7)
Copyright © 2003-2008 Lexico Publishing Group, LLC
Encyclopædia Britannica, Inc.
homogeneous

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© 2008 Encyclopædia Britannica, Inc.
Dictionary.com Unabridged (v 1.1) - Cite This Source - Share This
ho·mo·ge·ne·ous    Audio Help   [hoh-muh-jee-nee-uhs, -jeen-yuhs, hom-uh-] Pronunciation Key
–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: x2y3 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; < ML homogeneus, equiv. to homogene- (s. of Gk homogens of the same kind; see homo-, gene) + -us -ous]

ho·mo·ge·ne·ous·ly, adverb

1. unvarying, unmixed, alike, similar, identical.
Dictionary.com Unabridged (v 1.1)
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2006.
American Heritage Dictionary - Cite This Source - Share This
ho·mo·ge·ne·ous    Audio Help   (hō'mə-jē'nē-əs, -jēn'yəs)  Pronunciation Key 
adj.  
  1. Of the same or similar nature or kind: "a tight-knit, homogeneous society" (James Fallows).
  2. Uniform in structure or composition throughout.
  3. Mathematics Consisting of terms of the same degree or elements of the same dimension.


[From Medieval Latin homogeneus, from Greek homogenēs : homo-, homo- + genos, kind; see heterogeneous.]

ho'mo·ge'ne·ous·ly adv., ho'mo·ge'ne·ous·ness n.
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The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2006 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
Online Etymology Dictionary - Cite This Source - Share This
homogeneous 
1641, 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 (1603). Homogenize "make similar" formed in Eng. 1886; its sense of "render milk uniform in consistency" is from 1904.

Online Etymology Dictionary, © 2001 Douglas Harper
WordNet - Cite This Source - Share This
homogeneous

adjective
all of the same or similar kind or nature; "a close-knit homogeneous group" [ant: heterogeneous

WordNet® 3.0, © 2006 by Princeton University.
Kernerman English Multilingual Dictionary - Cite This Source - Share This
homogeneous [ˌhəuməˈdʒiːniəs] adjective
formed of parts or elements that are all of the same kind
Example: homogeneous and heterogeneous classes; a homogeneous society
Arabic: مُتَجانِس
Chinese (Simplified): 同类的
Chinese (Traditional): 同類的
Czech: stejnorodý, homogenní
Danish: homogen; ensartet
Estonian: homogeenne, ühesugune
Greek: ομοιογενής
Hungarian: homogén
Indonesian: homogen
Italian: omogeneo
Latvian: homogēns, viendabīgs
Lithuanian: vienalytis
Norwegian: ensartet, homogen
Polish: jednorodny, jednolity
Russian: однородный
Slovak: rovnorodý, homogénny
Slovenian: homogen
Spanish: homogéneo
Swedish: homogen, enhetlig
Turkish: homojen, benzer, türdeş
Kernerman English Multilingual Dictionary, © 2000-2006 K Dictionaries Ltd.
Free On-line Dictionary of Computing - Cite This Source - Share This

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)

The Free On-line Dictionary of Computing, © 1993-2007 Denis Howe
Webster's Revised Unabridged Dictionary - Cite This Source - Share This

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.
Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc.
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