homogeneous

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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

Likeness in nature or kind: similar, congruous and uniform in composition or structure throughout.

homogeneous

[‚hä·mə′jē·nē·əs]
(chemistry)
Pertaining to a substance having uniform composition or structure.
(mathematics)
Pertaining to a group of mathematical symbols of uniform dimensions or degree.
(science and technology)
Uniform in structure or composition.

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.

homogeneous

The same. Contrast with heterogeneous.
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