homogeneous (redirected from homogeneously)

homogeneous

The same. Contrast with heterogeneous.

---

homogeneous

1. having a constant property, such as density, throughout

2. Maths

a. (of a polynomial) containing terms of the same degree with respect to all the variables, as in x² + 2xy + y²

b. (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

c. (of an equation) containing a homogeneous function made equal to 0

3. Chem of, composed of, or concerned with a single phase

---

homogeneous - (Or "homogenous") Of uniform nature, similar in kind. 1. In the context of distributed systems, middleware makes heterogeneous systems appear as a homogeneous entity. For example see: interoperable network. Constrast heterogeneous. 2. (Of a polynomial) containing terms of the same degree with respect to all the variables, as in x^2 + 2xy + y^2. 3. (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. 4. (of an equation) containing a homogeneous function made equal to 0.