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Homogeneous media : ウィキペディア英語版
Homogeneity (physics)
In physics, a homogeneous material or system has the same properties at every point; it is uniform without irregularities.〔
(accessed November 16, 2009).〕〔
Tanton, James.
"homogeneous."
Encyclopedia of Mathematics.
New York: Facts On File, Inc., 2005.
Science Online. Facts On File, Inc.
"A polynomial in several variables p(x,y,z,…) is called homogeneous () more generally, a function of several variables f(x,y,z,…) is homogeneous () Identifying homogeneous functions can be helpful in solving differential equations () any formula that represents the mean of a set of numbers is required to be homogeneous. In physics, the term homogeneous describes a substance or an object whose properties do not vary with position. For example, an object of uniform density is sometimes described as homogeneous."
(James. homogeneous (math). )
(accessed: 2009-11-16)〕 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.).〔(Homogeneity ). Merriam-webster.com〕〔(Homogeneous ). Merriam-webster.com〕
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".〔〔
==Context==
The definition of homogeneous strongly depends on the context used. For example, a composite material is made up of different individual materials, known as "''constituents''" of the material, but may be defined as a homogeneous material when assigned a function. For example, asphalt paves our roads, but is a composite material consisting of asphalt binder and mineral aggregate, and then laid down in layers and compacted.
In another context, a material is not homogeneous in so far as it is composed of atoms and molecules. However, at the normal level of our everyday world, a pane of glass, or a sheet of metal is described as glass, or stainless steel. In other words, these are each described as a homogeneous material.
A few other instances of context are: ''Dimensional homogeneity'' (see below) is the quality of an equation having quantities of same units on both sides; ''Homogeneity (in space)'' implies conservation of momentum; and ''homogeneity in time'' implies conservation of energy.

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