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As expected, the Hop count metric selects the paths with minimum length in hops.
We also propose that there is no non-trivial 1-cycle of minimum length in the moduli space.
First, an initial docking box is constructed to enclose the bound ligand, and then the box size is increased in random directions to ensure that the minimum length in any dimension is at least 22.5 Å [34].
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A novel approach, which can control the minimum length scale in topology optimization in a straightforward and explicit way, is proposed in the present paper.
An increase of the minimum length resulted in a decrease in the coverage rate.
In addition, a robust formulation of the problem has been used in order to ensure minimum length scale in the optimal designs, which it is crucial from the manufacturability point of view.
To avoid numerical instability and focus on branches of topological relevance, we computed DFs only for branches with a minimum length (>0.0004) in the source tree, which included 91 96% of branches in the complete gene tree for each gene family.
Given this estimated value of δ, we would expect WGDs to occur on a minimum length branch in 0.943% of our simulations, and indeed, they actually did occur in only nine of our simulations.
The test showed that control over the minimum length scale in the design process greatly improves the yield rate and reduces the performance deviation.
Motivated by the success of filtering techniques that impose minimum length scales in topology optimization, we propose a scheme with consistent filtering to introduce a length scale and thereby ensure smoothness in shape optimization while preserving the advantages of the independent node movement approach.
Instead we find minimum length trees in which †Mesonychia is the sister group to a large clade composed of Artiodactyla (including Cetacea), Perissodactyla, †Hyopsodus, †Protungulatum, †Phenacodus, and †Eoconodon (Figure 2 and 3A).
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CEO of Professional Science Editing for Scientists @ prosciediting.com