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The Collaborative International Dictionary
Homogeneity

Homogeneity \Ho`mo*ge*ne"i*ty\, n. [Cf. F. homog['e]n['e]it['e].] Same as Homogeneousness.

Douglas Harper's Etymology Dictionary
homogeneity

1620s, from homogene (see homogeneous) + -ity.

Wiktionary
homogeneity

n. The state or quality of being homogeneous.

WordNet
homogeneity
  1. n. the quality of being similar or comparable in kind or nature; "there is a remarkable homogeneity between the two companies" [syn: homogeneousness] [ant: heterogeneity]

  2. the quality of being of uniform throughout in composition or structure

Wikipedia
Homogeneity (disambiguation)

Homogeneity is a sameness of constituent structure.

Homogeneity, homogeneous, or homogenization may also refer to:

Homogeneity (physics)

In physics, a homogeneous material or system has the same properties at every point; it is uniform without irregularities. A uniform electric field (which has the same strength and the same direction at each point) would be compatible with homogeneity (all points experience the same physics). A material constructed with different constituents can be described as effectively homogeneous in the electromagnetic materials domain, when interacting with a directed radiation field (light, microwave frequencies, etc.).

Mathematically, homogeneity has the connotation of invariance, as all components of the equation have the same degree of value whether or not each of these components are scaled to different values, for example, by multiplication or addition. Cumulative distribution fits this description. "The state of having identical cumulative distribution function or values".

Homogeneity (statistics)
For homogeneity of variance see homoscedasticity.

In statistics, homogeneity and its opposite, heterogeneity, arise in describing the properties of a dataset, or several datasets. They relate to the validity of the often convenient assumption that the statistical properties of any one part of an overall dataset are the same as any other part. In meta-analysis, which combines the data from several studies, homogeneity measures the differences or similarities between the several studies (see also Study heterogeneity).

Homogeneity can be studied to several degrees of complexity. For example, considerations of homoscedasticity examine how much the variability of data-values changes throughout a dataset. However, questions of homogeneity apply to all aspects of the statistical distributions, including the location parameter. Thus, a more detailed study would examine changes to the whole of the marginal distribution. An intermediate-level study might move from looking at the variability to studying changes in the skewness. In addition to these, questions of homogeneity apply also to the joint distributions.

The concept of homogeneity can be applied in many different ways and, for certain types of statistical analysis, it is used to look for further properties that might need to be treated as varying within a dataset once some initial types of non-homogeneity have been dealt with.

Usage examples of "homogeneity".

There is here none of the homogeneity which is the property of magnitude, and the necessary condition of measurement, giving a view of the less in the bosom of the more.

There is no measurable homogeneity, no collection of atomically constructed elements.

Our present need for privacy in many things marks, indeed, a phase of transition from an ease in public in the past due to homogeneity, to an ease in public in the future due to intelligence and good breeding, and in Utopia that transition will be complete.

Compared with the older writers Bellamy and Morris have a vivid sense of individual separation, and their departure from the old homogeneity is sufficiently marked to justify a doubt whether there will be any more thoroughly communistic Utopias for ever.

The family will lose homogeneity, and its individuals will have for the mother varied and perhaps incompatible emotional associations.

That is, as stability increases, fewer and fewer moments of ascertaining consciousness are focused on any other object, making for a homogeneity of moments of ascertaining perception.

Because of the homogeneity of this mental continuum, the experiential effect would be that of the mind apprehending itself.

I had no idea what the homogeneity of TV broadcasting might be from a vampire perspective.

The people, in contrast, tends toward identity and homogeneity internally while posing its difference from and excluding what remains outside of it.

Just as in the context of the dominant countries, here too the multiplicity and singularity of the multitude are negated in the straitjacket of the identity and homogeneity of the people.

The binary conception of the world implies the essentialism and homogeneity of the identities on its two halves, and, through the relationship across that central boundary, implies the subsumption of all experience within a coherent social totality.

Benedict Anderson discusses the force of print in replacing Latin with the vernacular, in building the image of an ancient national culture, and in fostering homogeneity of dialect and hence communication among linguistically different speakers.

American democracy will lose its most valuable and promising characteristic in case it loses the homogeneity of feeling which the pioneers were the first to embody.

Thus they seriously impaired the social and economic homogeneity, which the pioneer believed to be the essential quality of fruitful Americanism.

The earlier homogeneity of American society has been impaired, and no authoritative and edifying, but conscious, social ideal has as yet taken its place.