definitions
• synonyms

# homogeneous

[hoh-muh-jee-nee-uh s, -jeen-yuh s, hom-uh-]
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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.
1. having a common property throughout: a homogeneous solid figure.
2. having all terms of the same degree: a homogeneous equation.
3. 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.
4. relating to a differential equation in which a linear combination of derivatives is set equal to zero.

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1635–45; < Medieval Latin homogeneus, equivalent to homogene- (stem of Greek homogenḗs of the same kind; see homo-, gene) + -us -ous
Can be confusedheterogeneous heterogenous homogeneous homogenoushomogeneous homogenous

## Synonyms

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1. unvarying, unmixed, alike, similar, identical.
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018
British Dictionary definitions for nonhomogeneous

# homogeneous

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
1. (of a polynomial) containing terms of the same degree with respect to all the variables, as in x ² + 2 xy + y ²
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
3. (of an equation) containing a homogeneous function made equal to 0
6. chem of, composed of, or concerned with a single phaseCompare heterogeneous
Also (for senses 1–4): homogenous
Derived Formshomogeneity (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

# homogeneous

1640s, from Medieval Latin homogeneus, from Greek homogenes "of the same kind," from homos "same" (see homo- (1)) + genos "kind, gender, race, stock" (see genus). Earlier in this sense was homogeneal (c.1600).

Online Etymology Dictionary, © 2010 Douglas Harper

nonhomogeneous in Medicine

# homogeneous

(hō′mə-jēnē-əs, -jēnyəs)