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Covering a sphere with spheres
Mathematika, 1963We work throughout in n-dimensional Euclidean space. It has been clear, since the publication of [1], that it should be possible to obtain quite good upper bounds for the number of spherical caps of chord 2 required to cover the surface of a sphere of radius R > 1, and for the number of spheres of radius 1 required to cover a sphere of radius R > 1 ...
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The random parking of spheres on spheres
The Journal of Chemical Physics, 1996Given a ‘‘target’’ sphere of radius r1 and ‘‘probe’’ spheres of radius r2, we consider, as a function of r2/r1, how many probe spheres, on average, can be attached to the target sphere if (1) the attachment sites are chosen at random, (2) the probe spheres are not permitted to overlap, and (3) each attachment is irreversible.
Marc L. Mansfield+2 more
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Approximating spheres and sphere patches
Computer Aided Geometric Design, 1998Many graphics applications require the rendering of visually pleasing approximations of spheres and sphere patches. An example is the graphical display of molecular surfaces typically defined by a large number of atoms modeled by overlapping spherical balls.
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Integral Transforms and Special Functions, 2000
A convolution structure in defined on s N−1, the unit sphere in RN . It is used to construct a space of Boehmians of S N−1; which generalizes the space of Schwartz distributions on S N−1;.
Mikusiński, Piotr, Pyle, Bradford A.
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A convolution structure in defined on s N−1, the unit sphere in RN . It is used to construct a space of Boehmians of S N−1; which generalizes the space of Schwartz distributions on S N−1;.
Mikusiński, Piotr, Pyle, Bradford A.
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Applications: Aggregated Spheres, Layered Spheres, and Spheres Containing Inclusions
2003The theory developed so far is suitable to investigate the optical properties both of single particles and of dispersions of particles that are of interest in several fields of physics. With the proviso that careful tests are necessary to verify the adequacy of the model in the sense explained in Sect.
Paolo Denti+2 more
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Future Generation Computer Systems, 1994
Abstract We present a parallel simulated annealing algorithm for crystallization of N -body systems. The implementation uses systolic simulated annealing with additional parallel cost function evaluation. We have a hybrid topology which consists of a systolic ring and attached to each ring processor a tree of processors.
Voogd, J.M., Sloot, P.M.A., Dantzig, R.
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Abstract We present a parallel simulated annealing algorithm for crystallization of N -body systems. The implementation uses systolic simulated annealing with additional parallel cost function evaluation. We have a hybrid topology which consists of a systolic ring and attached to each ring processor a tree of processors.
Voogd, J.M., Sloot, P.M.A., Dantzig, R.
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Equidistribution on the Sphere
SIAM Journal on Scientific Computing, 1997A concept of generalized discrepancy, which involves pseudodifferential operators to give a criterion of equidistributed pointsets, is developed on the sphere. A simply structured formula in terms of elementary functions is established for the computation of the generalized discrepancy.
Freeden, Willi, Cui, J.
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American Sociological Review, 1972
This is a study of network representation: The data represent a set of interlocked directorates—specifically, the network in which the boards of major banks are interlocked with the boards of major industrials. The problem is to represent this network so as to organize it and describe its major outlines.
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This is a study of network representation: The data represent a set of interlocked directorates—specifically, the network in which the boards of major banks are interlocked with the boards of major industrials. The problem is to represent this network so as to organize it and describe its major outlines.
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Paulo Cáceres Guido+2 more
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