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.
- ho·mo·ge·ne·ous·ly, adverb
- non·ho·mo·ge·ne·ous, adjective
- non·ho·mo·ge·ne·ous·ly, adverb
- non·ho·mo·ge·ne·ous·ness, noun
- un·ho·mo·ge·ne·ous, adjective
- un·ho·mo·ge·ne·ous·ly, adverb
- un·ho·mo·ge·ne·ous·ness, noun
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2023
British Dictionary definitions for homogeneous
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 phase: Compare heterogeneous
- Also (for senses 1–4): homogenous
- homogeneity (ˌhəʊməʊdʒɪˈniːɪtɪ, ˌhɒm-), noun
- homogeneously, adverb
- homogeneousness, 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