homogeneous
[ hoh-muh-jee-nee-uhs, -jeen-yuhs, hom-uh- ]
/ 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.
Origin of homogeneous
OTHER WORDS FROM homogeneous
WORDS THAT MAY BE CONFUSED WITH homogeneous
heterogeneous heterogenous homogeneous homogenous homogeneous homogenousWords nearby homogeneous
Example sentences from the Web for homogeneous
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-), noun homogeneously, adverb homogeneousness, nounMedical definitions for homogeneous
homogeneous
[ hō′mə-jē′nē-əs, -jēn′yəs ]
adj.
Of the same or similar nature or kind.
Uniform in structure or composition throughout, as of a chemical mixture.