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The explicit sensitivity coefficients, which account the direct impact of cross sections on the responses through neutron transport equation, can be calculated efficiently with the classical Perturbation Theory.
The MVN densities can be calculated efficiently with the diagonalization matrices given in step 1.
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By using the Poisson summation formula with Ewald's trick the effect of image vortices can be calculated efficiently.
The PageRank Distance is designed with the intrinsic properties of CDPs in mind, and can be calculated efficiently.
The derivatives of a cost functional (defined on the model output) with respect to a large number of model parameters can be calculated efficiently through adjoint sensitivity analysis.
The FBF coefficients can be calculated efficiently using the Levinson-Durbin recursion.
As with traditional objective functions for sequence alignment, numerically optimal pairwise alignments can be calculated efficiently in the segment-based approach.
Both of the expectations can be calculated efficiently (see Supplementary Material).
As before, M g (A i ) can be calculated efficiently using the Subset Summation Tree.
ACS and shustrings can be calculated efficiently using suffix trees (Weiner, 1973).
The marginal alignment probability can be calculated efficiently using the forward backward algorithm (Lafferty et al., 2001).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com