homogeneous


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Related to homogeneous: Homogeneous mixture

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 ?
The second research question asked, "Are there differences in the ratings of rehabilitation case managers and consumers within a homogeneous community and those within a heterogeneous community.
Two homogeneous ethylene-octene (EO) copolymers made from metallocene polymerization have been investigated in comparison with two heterogeneous ethylene-butene (EB) copolymers obtained from Ziegler-Natta catalysis.
Thus, the mixmaster universe is still homogeneous but no longer isotropic as it goes through its expansion and contraction cycles.
8 Effect of Medium on Reaction Rates in Homogeneous Catalysis with Metal Complexes
The reactivity of organotransition metal complexes depends on the ligand environment of the metal, so optimizing the catalytic center by varying the ligand properties is a powerful tool in homogeneous catalysis.
The fastest, carbon-free molecular water oxidation catalyst (WOC) to date "has really upped the standard from the other known homogeneous WOCs," said Emory inorganic chemist Craig Hill, whose lab led the effort.
Studies show that a constant joining velocity of the horn during welding produces a more homogeneous molecular bond and a more robust weld.
Also, these services usually only work between homogeneous host-servers or storage systems locking users into a particular vendor with a specific roadmap.
Furthermore, it allows an easy-comparison of the general solution of a first-order linear differential homogeneous equation 2.
To provide more efficient measurement of LDL-cholesterol in clinical laboratories, new fully automated homogeneous methods have been developed and are commercially available (9-13).
In these dynamic emerging cities, the homogeneous historical centres have degenerated and the growth of the urban area has accelerated, at the same time throwing out peripheral belts inhabited by the poor.
They are prepared as homogeneous melts of the two ingredients with the active resorcinol dispersed in a finely divided form within the fatty acid matrix.