Translation and analysis of words by ChatGPT artificial intelligence
On this page you can get a detailed analysis of a word or phrase, produced by the best artificial intelligence technology to date:
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What (who) is spatially homogeneous - definition
![continuous]], as shown by this example. This is the function <math>f</math> defined by <math>f(x,y) = x</math> if <math>xy > 0</math> and <math>f(x, y) = 0</math> if <math>xy \leq 0.</math> This function is homogeneous of degree 1, that is, <math>f(s x, s y) = s f(x,y)</math> for any real numbers <math>s, x, y.</math> It is discontinuous at <math>y = 0, x \neq 0.</math>](https://commons.wikimedia.org/wiki/Special:FilePath/HomogeneousDiscontinuousFunction.gif?width=200 "continuous]], as shown by this example. This is the function <math>f</math> defined by <math>f(x,y) = x</math> if <math>xy > 0</math> and <math>f(x, y) = 0</math> if <math>xy \leq 0.</math> This function is homogeneous of degree 1, that is, <math>f(s x, s y) = s f(x,y)</math> for any real numbers <math>s, x, y.</math> It is discontinuous at <math>y = 0, x \neq 0.</math>")
Wikipedia
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".
