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Taking geometrical non-linearity of the structure into account optimal locations of hoop stiffeners are determined so that the cost function attains its minimum value.
and the function attains its maximum (2.5).
Accordingly, (1 when the function attains its maximum (2.3).
Therefore, the function attains its maximum at s = 1/2.
If the function attains its maximum at s = 1/ 2 and 1 ≤ p < r', then.
The situation changes when if the convex function attains its minimum nonuniquely.
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end{aligned}Note that (psi (0)=psi (1)=0) and that (psi ) is a concave function attaining its maximum at 1 / 2, (psi (1/2)=2^{1/2}-1/2
Combining this with the moment condition and the fact that F t)=p, we immediately obtain the distribution function attaining the bound.
The number of rectangles to be placed is subsequently increased from as small as 10 (i.e., N1) to too large as 3,152 (i.e., N13). Figure 10a, b shows the results of 50 runs of the algorithm, all for a maximum of 75 generations, but terminating if the fitness function attained the value 150 (which is the optimum height) for N9 benchmark dataset.
Figure 2 shows the histograms of the minima of the cost function attained by each of the methods investigated.
Although no individual function attained a significant p-value, the functions present almost all involved either catalytic activity or an interaction with nucleic acids.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com