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Here U is uniformly distributed on the unit sphere and r follows some circular distribution that is symmetric about 0 with spread depending on parameter κ.
There are eight baffles with circular distribution in the tower.
However, due to its directional property, a circular distribution is required to characterize the hue component.
This article presents the solutions for displacement and stress components along the centerline of nonuniform circular distribution of the vertical loads in a continuously inhomogeneous cross-anisotropic material with Young's and shear moduli varying exponentially with depth.
Two examples are illustrated to elucidate the effect of inhomogeneity, and the type and degree of soil anisotropy on the vertical displacement and vertical normal stress in the inhomogeneous isotropic/cross-anisotropic soils due to, respectively, a conical and a parabolic circular distribution of the vertical load acting on the ground surface.
c e As in Fig. 4g i, but using smoothly varying circular distribution (Fig. 3a).
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Figure 4: Circular distributions of Ai's tapping in 500-ISI and 400ms-ISI conditions; Circular distributions of Ayumu's tapping in 600ms-ISI, 500ms-ISI and 400ms-ISI conditions; Circular distributions of Cleo's tapping in 600ms-ISI, 500ms-ISI and 400ms-ISI conditions.
Our method uses previously observed trajectories to build point-wise circular distributions that after combination, provide a statistical smooth prediction towards the most likely areas.
Therefore, t peak and the rupture front have circular distributions in Model S3.
For a recent overview on circular distributions we refer to ([Pewsey et al. 2013]).
The misorientation angles were extracted from each data set and various circular distributions were fit to the data (i.e. various forms of C(r|κ) from (1) were tried).
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