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The data could not be described by the model of spheres.
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These analytical models of spheres could then be validated and used to estimate the scale of changes expected in MREIT images due to different neural activity patterns.
A series of astronomers, beginning with the Muslim astronomer al-Farghãnī, used the Ptolemaic model of nesting spheres to compute distances to the stars and planetary spheres.
Aristotelian scholars obviously had a geocentric vision of Earth, and so, in order to account for the visible movement of planets and stars in what should have been a fixed sky, proposed a model of "celestial spheres" in which stars were embedded within rotation-spheres made of an invisible element called "quintessence".
According to the classical model of scattering spheres [ 7, 11], all scattering cores are assumed to be small spheres, the intensity of scattering may be described by the coefficient of scattering μ s.
Alternatively, Moffitt developed a mathematical model of integrating sphere measurements for both single sphere and double-sphere arrangements [ 30].
We have mimicked the layer by layer self-assembling process at a solid-liquid interface using the extended random sequential adsorption model of hard spheres.
The algorithm is first tested versus exact results for macroscopic moments worked out in the Maxwellian-pseudo-molecules approximation, and then it is applied to the more realistic collision model of hard spheres for both elastic and inelastic encounters.
A theoretical model of hard spheres with point dipoles at their centers is used to guide the choice of experimental parameters and characterize the underlying materials physics.
In front of him on the coin is the model of nested spheres and polyhedra from Mysterium Cosmographicum.
The model of diplomatic spheres of influence resulting from the Congress of Vienna in 1814 15 after the Napoleonic Wars endorsed Austrian dominance in Central Europe.
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