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   » » Wiki: Homogeneity And Heterogeneity
Tag Wiki 'Homogeneity And Heterogeneity'.
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Homogeneity and heterogeneity are concepts relating to the uniformity of a substance, process or image. A homogeneous feature is uniform in composition or character (i.e., color, shape, size, weight, height, distribution, texture, language, income, disease, temperature, radioactivity, architectural design, etc.); one that is heterogeneous is distinctly nonuniform in at least one of these qualities.


Etymology and spelling
The words homogeneous and heterogeneous come from homogeneus and heterogeneus, from ὁμογενής ( homogenēs) and ἑτερογενής ( heterogenēs), from ὁμός ( homos, "same") and ἕτερος ( heteros, "other, another, different") respectively, followed by γένος ( genos, "kind"); -ous is an adjectival suffix.
   [https://web.archive.org/web/20120717050711/http://oxforddictionaries.com/definition/english/heterogeneous      ''Heterogeneous:'' Definition in the Oxford English Dictionary]
     

Alternate spellings omitting the last -e- (and the associated pronunciations) are common, but mistaken:

   [https://dictionary.cambridge.org/dictionary/english/homogeneous     Cambridge Dictionary: ''homogeneous'']
     
homogenous is strictly a biological/pathological term which has largely been replaced by homologous. But use of homogenous to mean homogeneous has seen a rise since 2000, enough for it to now be considered an "established variant".
   [https://web.archive.org/web/20121003000741/http://oxforddictionaries.com/definition/english/homogeneous    ''Homogeneous:'' Definition in the Oxford England Dictionary]
     
Similarly, heterogenous is a spelling traditionally reserved to biology and , referring to the property of an object in the body having its origin outside the body.
   [http://grammarist.com/usage/heterogeneous-heterogenous/    Heterogeneous vs. heterogenous] - Grammarist)
     


Scaling
The concepts are the same to every level of complexity. From to , , , , and other all share both a common or unique set of complexities. Hence, an element may be homogeneous on a larger scale, compared to being heterogeneous on a smaller scale. This is known as an effective medium approximation.
(1994). 9780691034522, Princeton University Press. .
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Examples
Various disciplines understand heterogeneity, or being heterogeneous, in different ways.


Biology

Environmental heterogeneity
Environmental heterogeneity is a for different environmental factors that contribute to the diversity of species, like climate, topography, and land cover. is correlated with on a global scale. Heterogeneity in geodiversity features and environmental variables are indicators of environmental heterogeneity. They drive biodiversity at local and regional scales.

Scientific literature in ecology contains a big number of different terms for environmental heterogeneity, often undefined or conflicting in their meaning. and are a synonyms of environmental heterogeneity.


Chemistry

Homogeneous and heterogeneous mixtures
In , a heterogeneous mixture consists of either or both of 1) multiple states of matter or 2) and substances in one mixture; an example of the latter would be a mixture of water, , and . Heterogeneous solids, liquids, and gases may be made homogeneous by melting, stirring, or by allowing time to pass for to distribute the molecules evenly. For example, adding dye to water will create a heterogeneous solution at first, but will become homogeneous over time. allows for heterogeneous substances to become homogeneous over time.

A heterogeneous mixture is a of two or more compounds. Examples are: mixtures of sand and water or sand and iron filings, a conglomerate rock, water and oil, a salad, , and concrete (not cement). A mixture can be determined to be homogeneous when everything is settled and equal, and the liquid, gas, the object is one color or the same form. Various models have been proposed to model the concentrations in different phases. The phenomena to be considered are mass rates and reaction.


Homogeneous and heterogeneous reactions
Homogeneous reactions are chemical reactions in which the reactants and products are in the same phase, while heterogeneous reactions have in two or more phases. Reactions that take place on the surface of a catalyst of a different phase are also heterogeneous. A reaction between two gases or two miscible liquids is homogeneous. A reaction between a gas and a liquid, a gas and a solid or a liquid and a solid is heterogeneous.


Geology
Earth is a heterogeneous substance in many aspects; for instance, rocks (geology) are inherently heterogeneous, usually occurring at the micro-scale and mini-scale.


Linguistics
In formal semantics, homogeneity is the phenomenon in which expressions imply "all" when but "none" when . For example, the sentence "Robin read the books" means that Robin read all the books, while "Robin didn't read the books" means that she read none of them. Neither sentence can be asserted if Robin read exactly half of the books. This is a puzzle because the negative sentence does not appear to be the of the sentence. A variety of explanations have been proposed including that natural language operates on a .


Information technology
With information technology, heterogeneous computing occurs in a comprising different types of computers, potentially with vastly differing sizes, processing power and even basic underlying architecture.


Mathematics and statistics
In algebra, homogeneous polynomials have the same number of factors of a given kind.

In the study of , a homogeneous relation R is on a single set ( RX × X) while a heterogeneous relation concerns possibly distinct sets ( RX × Y,   X = Y or XY).

(2025). 9783642779688, Springer Science & Business Media.

In statistical , study heterogeneity is when multiple studies on an effect are measuring somewhat different effects due to differences in subject population, intervention, choice of analysis, experimental design, etc.; this can cause problems in attempts to summarize the meaning of the studies.


Medicine
In and , a genetic or allelic heterogeneous condition is one where the same disease or condition can be caused, or contributed to, by several factors, or in genetic terms, by varying or different or .

In , cancer cell heterogeneity is thought to be one of the underlying reasons that make treatment of difficult.


Physics
In , "heterogeneous" is understood to mean "having physical properties that vary within the medium".


Sociology
In , "heterogeneous" may refer to a society or group that includes individuals of differing ethnicities, cultural backgrounds, sexes, or ages. Diverse is the more common synonym in the context. Dictionary of Sociology. Routledge; 12 November 2012. .


Ecology
In landscape ecology, heterogeneity refers to the different elements of a system.
(2025). 9781493927937, Springer. .
Heterogeneous systems support higher biodiversity and is a target for many landscape restoration efforts.


See also


External links
  • The following cited pages in this book cover the meaning of "homogeneity" across disciplines:
    (1992). 9780122004001, Gulf Professional Publishing. .

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