# 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

*x*

^{2}+ 2

*xy*+

*y*

^{2}

**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.

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.Want to thank TFD for its existence? Tell a friend about us, add a link to this page, or visit the webmaster's page for free fun content.

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