## 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. (mathematics) (Of a polynomial) containing terms of the same degree with respect to all the variables, as in x^2 + 2xy + y^2.

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

Last updated: 1999-05-06

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