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homogeneous

 - 7 dictionary results

ho⋅mo⋅ge⋅ne⋅ous

  [hoh-muh-jee-nee-uhs, -jeen-yuhs, hom-uh-]
Use homogeneous in a Sentence
–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

Related forms:
ho⋅mo⋅ge⋅ne⋅ous⋅ly, adverb

Synonyms:
1. unvarying, unmixed, alike, similar, identical.
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2009.
Cite This Source Link To homogeneous
ho·mo·ge·ne·ous   (hō'mə-jē'nē-əs, -jēn'yəs)   
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.
The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2009 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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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.
Dictionary.com's 21st Century Lexicon
Copyright © 2003-2009 Dictionary.com, LLC
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Word Origin & History

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
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Medical Dictionary

Main Entry: ho·mo·ge·neous
Pronunciation: -'jE-nE-&s, -ny&s
Function: adjective
: of uniform structure or composition throughout —ho·mo·ge·neous·ly adverb —ho·mo·ge·neous·ness noun
Merriam-Webster's Medical Dictionary, © 2002 Merriam-Webster, Inc.
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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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Computing Dictionary

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
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