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Curves "a" to "f" are obtained by the model with increasing values of the shape disorder ; the curve "g" is obtained by the Poisson-Voronoi model.
Experimental and computed values of the shape of the bubbles and of their upward velocity were compared.
Values of the shape parameter of the GP distribution and of the predicted rainfall depths widely vary with series size.
Modifying the values of the shape parameters allows the designer to introduce soft or hard cross patch boundaries thus introducing creases and corners to the curved surface.
While the detailed solution for a Herschel Bulkley fluid can be used to deduce the values of the shape factors, the simplified solution for a Meter fluid is also provided to enable for easy application.
Considering bias, variance and mean square error criteria of estimates of parameters and quantiles, it is concluded that in general for the values of the shape parameter considered: −0.1, −0.3, and −0.5 and 0.1, 0.3 and 0.5, the sample sizes analyzed: 9 ⩽ N ⩽ 99 and non-exceedance probabilities: 0.01 ⩽ Π x) ⩽ 0.10, the ML method performed better than the other five.
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Fig. 1 The p-generalized Fisher densities f n,n,p for four values of the shape-tail parameter, p∈{0.6, 1.2, 2, 3.5}.
Note that the default value of the shape is "constant", so this can be left out of the file.
The shape of developable λ-Bézier surface can be easily adjusted by modifying the value of the shape parameter.
We propose an efficient algorithm to compute the optimal value of the shape parameter that minimizes the approximation error.
A critical shape parameter (minimum value of the shape parameter that guarantees a specified accuracy) is shown to depend only on Bond number.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com