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The conducting medium containing these regions of interest is assumed to be an infinite half space, an infinite cylinder or a finite sphere.
With a finite sphere of influence model, families of analytical Moon-to-Earth return trajectories are generated and analyzed to observe the characteristics in their Moon departures and Earth encounters.
At a time when the number of political advocacy groups competing for influence and attention is rising -- in what is inherently a finite sphere -- email solicitations and web ads have given way to a more subversive, overtly confrontational touch.
I find problems with myself my skin, my hair, the sudden notion that no one likes me and set about trying to fix them so as to create a finite sphere of meaning within the larger expanse of nothingness.
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For the infinite cylinder and the finite sphere, optimal solutions can be quite different from the "magical" overlap.
It is "the evening star inviolable over the coal mines", but equally "the hands of strong men groping for handholds"; in short, we can find hope both in the timeless world of non-human process and in the finite sphere of our own actions.
We explore several types of environment maps including finite spheres, ellipsoids, and boxes that better approximate the environmental geometry.
Spherical t-design is a finite subset on sphere such that, for any polynomial of degree at most t, the average value of the integral on sphere can be replaced by the average value at the finite subset.
The line distance d according to the shortest spacing is set to 1.15 * R, with R being the radius of a PS sphere, and taking into account a finite spacing between the spheres of the order of 15%.
In this paper, we define the concept of a spherical T-design for a finite subset of a sphere.
14, 21, 32, 38 One practical approach is to approximate a given molecular structure by a finite number of homogenous spheres of equal radii and scattering density.
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