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This theory describes the quasi-elastic interaction between an electromagnetic plane wave and a homogeneous sphere defined by its (arbitrary) diameter and its (arbitrary) complex refractive index.
It was found that the strength of colloidal interaction for the aggregated NPs was on the same order of magnitude as those for the primary particles and was significantly weaker than that for an equivalent sphere defined by the gyration radius of the aggregate.
We also need a -functional on sphere defined by (see [3]) (1.7).
Within the sphere defined by Congress, the statute has given the President as much discretion to exercise economic leverage against Burma, with an eye toward national security, as law permits.
Let S n denote the n-dimensional sphere defined by S n = { x = ( x 1, …, x n + 1 ) ∈ R n + 1 : ( x | x ) = 1 }, with metric d S n ( x, y ) = arccos ( x | y ), x, y ∈ S n.
Moreover, let J ∗ SPH p ( n − 1 ) = J SPH p ( n − 1 ) ( 1, ϕ ) be the restriction of the Jacobian of SPH p ( n − 1 ) to the sphere defined by r=1.
The normalization factor Z in line 5 is defined as so that c → gets assigned to the 'center of mass' of points falling within the sphere defined by the kernel function.
The molecular representation views a molecule as having a surface defined by the overlap of hard spheres, defined by the van der Waals radii of the atoms, which is traced by a sphere representing a solvent molecule (water by default).
White used the intersecting volume between the reflection and the limiting-energy Ewald spheres defined by the energy spectrum for the partiality calculation, and calculates the initial reference data set by averaging all observations without scaling.
Margins have an intuitive interpretation, defining a sphere (as defined by the norm adopted) for system constraints and for performance constraints around the optimal pair.
That is, the number of LTP cells created in an LTP originated sphere (defined to be l) must be given by, l = F.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com