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An inhomogeneous cosmology is a physical cosmological theory (an astronomical model of the physical universe's origin and evolution) which, unlike the dominant cosmological concordance model, assumes that inhomogeneities in the distribution of matter across the universe affect local gravitational forces (i.e., at the galactic level) enough to skew our view of the Universe. [3]
The inhomogeneous Poisson point process, as well as being called nonhomogeneous, [47] is also referred to as the non-stationary Poisson process. [ 72 ] [ 100 ] The term point process has been criticized, as the term process can suggest over time and space, so random point field , [ 101 ] resulting in the terms Poisson random point field or ...
Conversely, two sets of homogeneous coordinates represent the same point if and only if one is obtained from the other by multiplying all the coordinates by the same non-zero constant. When Z {\displaystyle Z} is not 0 {\displaystyle 0} the point represented is the point ( X / Z , Y / Z ) {\displaystyle (X/Z,Y/Z)} in the Euclidean plane.
In contrast, an equation with a non-zero RHS is called inhomogeneous or non-homogeneous, as exemplified by Lf = g, with g a fixed function, which equation is to be solved for f. Then any solution of the inhomogeneous equation may have a solution of the homogeneous equation added to it, and still remain a solution.
Homogeneous broadening is a type of emission spectrum broadening in which all atoms radiating from a specific level under consideration radiate with equal opportunity. [1] If an optical emitter (e.g. an atom) shows homogeneous broadening, its spectral linewidth is its natural linewidth, with a Lorentzian profile .
In modern physical cosmology, the cosmological principle is the notion that the spatial distribution of matter in the universe is uniformly isotropic and homogeneous when viewed on a large enough scale, since the forces are expected to act equally throughout the universe on a large scale, and should, therefore, produce no observable inequalities in the large-scale structuring over the course ...
Maxwell's equations can directly give inhomogeneous wave equations for the electric field E and magnetic field B. [1] Substituting Gauss's law for electricity and Ampère's law into the curl of Faraday's law of induction, and using the curl of the curl identity ∇ × (∇ × X) = ∇(∇ ⋅ X) − ∇ 2 X (The last term in the right side is the vector Laplacian, not Laplacian applied on ...
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).