homogeneous

[hoh-muh-jee-nee-uhs, -jeen-yuhs, hom-uh-]
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.
    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.

Origin of homogeneous

1635–45; < Medieval Latin homogeneus, equivalent to homogene- (stem of Greek homogenḗs of the same kind; see homo-, gene) + -us -ous
Related formsho·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, nounun·ho·mo·ge·ne·ous, adjectiveun·ho·mo·ge·ne·ous·ly, adverbun·ho·mo·ge·ne·ous·ness, noun
Can be confusedheterogeneous heterogenous homogeneous homogenoushomogeneous homogenous

Synonyms for homogeneous

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

British Dictionary definitions for non-homogeneous

homogeneous

adjective
  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

Word Origin and History for non-homogeneous

homogeneous

adj.

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

non-homogeneous in Medicine

homogeneous

[hō′mə-jēnē-əs, -jēnyəs]
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.