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.
References in periodicals archive ?
If the contacted materials are homogeneousness, then it is accepted that [[mu].sub.1] = [[mu].sub.2] = [mu], and
It on the one hand discovers homogeneousness among observations through calculating their internal cohesion.
The difference of Camus's discourse appears, first, in his speech, which is indifferent, as if unconcerned, and second, in the emphasis on the identicalness and homogeneousness of all events.
For example, in the topographic plan (at a scale of 1 : 2000) of the investigated area the stability coefficient calculated by the adapted formula is 4.6 for a 120 m long slope sector, whose homogeneousness in terms of morphogenesis is proved by the contour line.
"Within France there is an ideology of cultural conformity rather than cultural pluralism."(21) The French are not used to such diversity when confronting their own practices or beliefs, and are threatened by it; therefore they generally strive to secure the homogeneousness of their culture

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