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An analogous intersection formula, with the set sph S of spherical points of S in place of reg S is shown to hold for a closed connected nonconvex and bounded subset S of a real Banach space which is uniformly convex and uniformly smooth.
In the RESP model, atoms are reasonably approximated as spherical points having fixed charges rather than as nuclei with shared electrons.
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Different types of joints discussed: spherical, point-line, cylindrical, and prismatic.
That's a problem when you consider the information contained in things that fall into black holes – unless it remains at the event horizon, which is the spherical "point of no return" surrounding a black hole.
It is similar to deformation field arising from spherical point pressure sources.
Joint inversion efforts to combine near-surface and satellite magnetic observations, on the other hand, have used spherical point dipole or prism models to study how the anomalies may transition from near-surface to satellite altitudes (e.g., von Frese et al. 1999; Ravat et al. 2002; Milligan et al. 2004; Kim et al. 2004, 2005, 2007).
The representation of ions as spherical point charges is also problematic, and salt bridge formation could be better addressed by using a model of induced dipoles [ 38].
The magnetic field components were then computed at spherical grid points.
The most important aspect of this function is its connection to all functions that describe the properties of spherical entities: points, diameter, circumference, circle, surface, and volume of a sphere.
To determine the extrinsic parameters of each projection, we fix the camera point of view to the spherical projection point of view, i.e., the local origin of the point cloud.
An origami vertex, the point at which folds converge, is shown to be equivalent to a spherical change-point mechanism.
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