— homogeneously , adv.
/hoh'meuh jee"nee euhs, -jeen"yeuhs, hom'euh-/ , adj.
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. Math.
a. having a common property throughout: a homogeneous solid figure.
b. having all terms of the same degree: a homogeneous equation.
c. relating to a function of several variables that becomes multiplied by some power of a constant when each variable is multiplied by that constant: x 2 y 3 is a homogeneous expression of degree 5.
d. relating to a differential equation in which a linear combination of derivatives is set equal to zero.
[ 1635-45; homogeneus, equiv. to homogene- (s. of Gk homogenés of the same kind; see HOMO-, GENE) + -us -OUS ]
Syn. 1. unvarying, unmixed, alike, similar, identical.