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 ?
2): Identification of homogeneous regions: The most important step in RFA was formulation of homogeneous regions of selected sites.
Step 1: Detection of the homogeneous regions in the noisy image.
To our knowledge, none of these studies have compared the effectiveness of learning style-based heterogeneous and homogeneous grouping strategies from various dimensions of learning performances and learning behaviors.
We live in a world of nation states but the idea of a homogeneous nation state is clearly problematic.
After completing input data of physiographic characteristics, homogeneous groups are determined using intelligent system.
We apply a linear homogeneous transformation in each segment to compress or extend each region, leading to a much bigger octahedron hidden region in physical space (Fig.
Citation: The paper, "Soft Substrates Promote Homogeneous Self-renewal of Embryonic Stem Cells via Downregulating Cell-matrix Tractions;" Farhan Chowdhury, et al; PLoS ONE 5(12): el5655.
on a population with non-homogeneous tastes and income) is less efficient than a tax imposed on a homogeneous population.
Firstly the authors examine, given the amount of time allocated to literacy instruction, whether homogeneous grouping helps improve class manageability over the kindergarten year and whether individual students' externalizing problem behaviors will decrease in tandem.
In this article, we formulate the metric tensor for the gravitational field exterior to massive homogeneous oblate spheroidal bodies as a direct extension of Schwarzschild's metric.
3) may have infinite eigenvalues, it is natural to look at the homogeneous form of these problems.
Ibuki said the Yamato race has ruled Japan throughout history and that Japan is an extremely homogeneous country.

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