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In short, mathematical literacy goes beyond computational skills (Hickendorff [2013]; Wu and Adams [2006]) and is conceptually linked to problem solving.
We analyze behavioral data from our participation in the DARPA Shredder Challenge, an NP-hard combinatorial puzzle beyond computational reach, which involved 3,500 participants from five continents over three consecutive weeks.
(44) GW calculations for the present systems are, however, far beyond computational capacities.
Averaging over comparisons, we find the improvement in concordance with vs. between component methods is statistically significant beyond computational precision (P < 1e-16).
However, if evidence for association is strong in both datasets, BMA is a more powerful approach and there seems little reason beyond computational expense to prefer averaging over the universe of two SNP models to that of three SNP models.
While we are currently unable to disclose the structures of active compounds (due to patent issues of PRISM Biolab Corporation), the prediction statistics and exemplary results we report for an actual drug discovery project should be helpful to put SARM-based predictions into perspective, beyond computational benchmarking, and might spark the interest of practitioners in this field.
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2D applications may require more than 106 × 106 matrix cells, which are usually beyond the computational capacity of local clusters of computers.
As a result, computer simulations should be extended beyond these computational limits.
However, the enhanced test set size would go beyond the computational capability for practical N lengths.
Beyond the computational complexity, assigning a value to any coalition of a large set of elements does not make sense.
This, in turn, provides a valuable insight into the interfacial condition of a fracture at virtually no surcharge – beyond the computational effort required for its imaging.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com