homogeneous
[ hohmuhjeeneeuhs, jeenyuhs, homuh ]
/ ˌhoʊ məˈdʒi ni əs, ˈdʒin yəs, ˌhɒm ə /

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: x2y3 is a homogeneous expression of degree 5.
 relating to a differential equation in which a linear combination of derivatives is set equal to zero.
Nearby words
Origin of homogeneous
Related forms
Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019
British Dictionary definitions for homogeneously
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 Formshomogeneity (ˌhəʊməʊdʒɪˈniːɪtɪ, ˌhɒm), nounhomogeneously, adverbhomogeneousness, noun
Collins English Dictionary  Complete & Unabridged 2012 Digital Edition
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Word Origin and History for homogeneously
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
Medicine definitions for homogeneously
homogeneous
[ hō′məjē′nēəs, jēn′yəs ]
adj.
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
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