homogeneous
[ hoh-muh-jee-nee-uhs, -jeen-yuhs, hom-uh- ]
/ ˌhoʊ məˈdʒi ni əs, -ˈdʒin yəs, ˌhɒm ə- /
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adjective
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.
Mathematics.
- 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
WORDS THAT MAY BE CONFUSED WITH homogeneous
1. heterogeneous, heterogenous, homogeneous , homogenous2. homogeneous , homogenousDictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2023
British Dictionary definitions for homogeneous
homogeneous
/ (ˌhəʊməˈdʒiːnɪəs, ˌhɒm-) /
adjective
composed of similar or identical parts or elements
of uniform nature
similar in kind or nature
having a constant property, such as density, throughout
maths
- (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
Also (for senses 1–4): homogenous
Derived forms of homogeneous
homogeneity (ˌhəʊməʊdʒɪˈniːɪtɪ, ˌhɒm-), nounhomogeneously, adverbhomogeneousness, nounCollins English Dictionary - Complete & Unabridged 2012 Digital Edition
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