Homogeneity (physics)

In physics, a homogeneous material or system has the same properties at every point; it is uniform without irregularities.^[1]^[2] 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.).^[3]^[4]

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".^[3]^[4]

^ Rennie, Eugen Goldstein, Science Online (2003). Homogeneous (physics). The Facts On File Dictionary of Atomic and Nuclear Physics. Describing a material or system that has the same properties in any direction; i.e. 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 [and] 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 ^b Homogeneity. Merriam-webster.com
^ ^a ^b Homogeneous. Merriam-webster.com

[homogeneous-physics-1] Rennie, Eugen Goldstein, Science Online (2003). Homogeneous (physics). The Facts On File Dictionary of Atomic and Nuclear Physics. Describing a material or system that has the same properties in any direction; i.e. uniform without irregularities. (accessed November 16, 2009).

[homogeneous-physics-2-2] 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 [and] 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)

[homogeneity-3] Homogeneity. Merriam-webster.com

[Homogeneous-4] Homogeneous. Merriam-webster.com

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