# 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 ?
are two homogeneously equivalent zero-free K-labellings, then Rf is homogeneously equivalent to Rg.
And both sides of the debate on gifted education use this fact to buttress their cases: those who oppose programs that homogeneously group gifted kids say the selection practices are biased: those on the other side say strong gifted programs will give poor children a chance to receive the enrichment and advantages that middle-class parents have become so adept at providing.
Yet while there is no homogeneously conceived historicism in Losung, no "solution" to the paradoxes of power and powerlessness it evokes, history--meaning a sense of connection to the past, of living as part of a project, even a failed project--courses through every stroke (even the Polke-inspired squiggles).
Cynthia Scheinberg's excellent volume clearly demonstrates the importance of the religious element in the work of some of the most well-known of female poets, Christina Rossetti and Elizabeth Barrett Browning, where these elements have not been so much overlooked by earlier critics as perhaps, too homogeneously interpreted.
For the finer coating particles, the coating layer deposits more homogeneously with the electrostatic application and may be compacted further during calendering.
Here, homogeneously dispersed solid polytetrafluorethylene (PTFE) is incorporated into the electroless nickel layer.
Assuming that dislocations are distributed homogeneously over the different sets and that for the different sets the outer cut-off radius is equal it holds: [bar.
Targeted attachment of PEG to growth hormone results in a homogeneously modified protein with high biological activity and overcomes the problems of product heterogeneity and loss of activity that occurs when growth hormone is modified using non-targeted PEGylation technologies.
It is completely and homogeneously soluble in bitumen above 115[degrees]C, and significantly decreases the viscosity of hot liquid bitumen at application temperatures.
CT with contrast injection showed that the mass was enhancing homogeneously (figure 2).
While Cardiff Bay is still trying desperately to capture a centre and focus to its development, and lacks what the French would describe as rhythm, the SA1 Swansea Waterfront development is a homogeneously planned balance of commerce, innovation, community living and leisure.

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