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.

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

- chem of, composed of, or concerned with a single phaseCompare heterogeneous

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). adj.

- Of the same or similar nature or kind.
- Uniform in structure or composition throughout, as of a chemical mixture.