homogeneous - Definitions from Dictionary.com

8 results for: homogeneous

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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Dictionary.com Unabridged (v 1.1) - Cite This Source - Share This

ho·mo·ge·ne·ous

Audio Help [hoh-muh-jee-nee-uh

s, -jeen-yuh

s, 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.

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

]

—Related forms

ho·mo·ge·ne·ous·ly, adverb

—Synonyms 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.

Of the same or similar nature or kind: "a tight-knit, homogeneous society" (James Fallows).
Uniform in structure or composition throughout.
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.

WordNet - Cite This Source - Share This

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

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

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)

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.

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