[ hoh-muh-jee-nee-uhs, -jeen-yuhs, hom-uh- ]
/ ˌhoʊ məˈdʒi ni əs, -ˈdʒin yəs, ˌhɒm ə- /
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composed of parts or elements that are all of the same kind; not heterogeneous: a homogeneous population.
of the same kind or nature; essentially alike.
- having a common property throughout: a homogeneous solid figure.
- having all terms of the same degree: a homogeneous equation.
- relating to a function of several variables that becomes multiplied by some power of a constant when each variable is multiplied by that constant: x2y3is a homogeneous expression of degree 5.
- relating to a differential equation in which a linear combination of derivatives is set equal to zero.
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Origin of homogeneous
OTHER WORDS FROM homogeneous
ho·mo·ge·ne·ous·ly, adverbnon·ho·mo·ge·ne·ous, adjectivenon·ho·mo·ge·ne·ous·ly, adverbnon·ho·mo·ge·ne·ous·ness, noun
un·ho·mo·ge·ne·ous, adjectiveun·ho·mo·ge·ne·ous·ly, adverbun·ho·mo·ge·ne·ous·ness, noun
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2021
British Dictionary definitions for homogeneous
/ (ˌhəʊməˈdʒiːnɪəs, ˌhɒm-) /
composed of similar or identical parts or elements
of uniform nature
similar in kind or nature
having a constant property, such as density, throughout
- (of a polynomial) containing terms of the same degree with respect to all the variables, as in x ² + 2 xy + y ²
- (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
- (of an equation) containing a homogeneous function made equal to 0
chem of, composed of, or concerned with a single phaseCompare heterogeneous
Also (for senses 1–4): homogenous
Derived forms of homogeneoushomogeneity (ˌhəʊməʊdʒɪˈniːɪtɪ, ˌhɒm-), nounhomogeneously, adverbhomogeneousness, noun
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
Medical definitions for homogeneous
[ hō′mə-jē′nē-əs, -jēn′yəs ]
Of the same or similar nature or kind.
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.