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The accuracy of the multiquadratic radial basis functions collocation method in performing elasto-static analyses of multilayer composite plates is strongly affected by the shape parameter, a value that dominates the shape of the radial basis functions.
The shift of a distribution in a particular direction is explained by location parameter, spreading out of the distribution is explained by the scale parameter similar to kurtosis and tails of each distribution is governed by the shape parameter like skewness.
Given the input image indicated as S 2D=(x 1,y 1,⋯,x n,y n )∈R 2, the shape parameter β needs to be determined such that it minimizes the shape residual between the projected 3D facial shape generated by the shape parameter and the input 2D facial shape.
Given the 2D FFPs of an input face image, such as s 2 d = x 1, y 1, x 2, … y n T ∈ R 2 n, the shape parameter β needs to be determined such that it minimizes the shape residual between the projected 3D facial shape generated by the shape parameter and the input 2D facial shape.
The gamma distribution is characterized by the shape parameter and the scale parameter.
The baseline hazard, here characterized by the shape parameter ρ k is assumed to be event-type specific.
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The shape parameter ω corresponding to a particular STT value can be calculated by solving By varying the shape parameter of the Gamma distribution, different transformations of P-values can be achieved, and thus the GM is a family of related methods with FM as a special case.
Increasing the probability of longer-range spread, whether by decreasing the shape parameter or by using a kernel with fat tails (i.e. fat-tailed or FMD), dramatically increases the size of the outbreak, even with vaccination.
Finally, a new 3D facial shape can be generated by changing the shape parameter β.
Figure 3 gives an example to show the shape adjustment of the generalized Bézier-like surfaces by using the shape parameter (gamma_{3}).
Figure 2 gives an example to show the shape adjustment of the generalized Bézier-like surfaces by using the shape parameter λ.
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