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Given a reference point i and a maximum radius R, the nearest neighbors Q of that point can be defined as those points which are contained in the sphere of radius R center at point i.
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By the maximum modulus theorem, it is easy to see that if is a strong peak point of and, then is contained in the unit sphere of.
Critical thinking, inquiry based learning, media literacy, evaluation of information, citing, ethical use and re-use of information, the research process, are all contained in the conceptual sphere of information literacy.
Using the generalized version of the classical F. and M. Riesz Theorem as given by Gliksberg, König, and Seever, we obtain a few decomposition theorems for tuples of commuting operators on Hilbert spaces that admit normal dilations whose joint spectra are contained in the unit sphere of Cn.
Here we use the facts that (|mathbf{x}-mathbf{y}|geq r), that the surface element begin{aligned} dS=frac{r,dr,domega}{(mathbf{n}(mathbf{x}),mathbf{x}(mathbf{y}))} end{aligned} (3.37) can be estimated with the aid of (3.35) by (dSleq2r,dr, domega), and that the projection ∂L into the tangent plane is contained in the interior of the sphere of radius η and center x.
The fluid contained in the permeable sphere could transmit pressure to the solid, a contribution absent in the case of an impermeable sphere.
We first consider the motion of a fluid contained in a sphere of radius R, performing periodic rotations of amplitude A and frequency ω.
However, for accurate comparison all atoms were contained in the image simulation, including the coordination sphere of ligands and a section of graphene lattice.[ 32] Figure 1 b shows three different regions on the GOSH@Au9, each from an ac-TEM image acquired with 0.3 s exposure.
The secret protocol contained in the 1939 Molotov Ribbentrop Pact between Germany and the Soviet Union had relegated Estonia, Latvia, and Lithuania to the Soviet sphere of influence.
Yes – in the sphere of public authority.
What would be the equivalent in the sphere of politics?
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