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These coefficients (Additional file 1: Appendix E) were determined by trying different values by approximating these values to the magnitudes of these events which were previously reported (Tables 1, 2).
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This process is repeated for different values of time, which generates a curve for the priorities of the alternatives and then approximates these values by curves with a functional form for each component of the eigenvector.
By approximating the value function around the post-decision state we will be able to capture the consequences of decisions taken now on the future.
The log2Cy5/Cy3 ratios were normalized by approximating median values to zero.
The LSM method contributes by approximating the continuation value that is the conditional expectation of time (t) (if exercise is still allowed) of future optimal payoffs from the contingent claim.
The set-based framework allows for a comprehensive description of the faults in the parameter-space by outer approximating the parameter values which are consistent with the nonlinear model and the quantitative qualitative specifications.
Taking into account that these values were obtained for a 2D scenario, we extrapolated an approximate 3D scenario by multiplying these values by ten, in other words by superimposing 10 2D lattices, to give values of 3×104 and 1×105 CFU respectively, which are in the range of those observed experimentally[35], [53].
We present the efficient software implementation: MACRO-APE (MAtrix CompaRisOn by Approximate P-value Estimation).
Madsen and Browning (2009) extended the method by incorporating weights that depend on MAF into the group-wise statistics and approximating P-values by permutations within each group.
The values of h N and u N are approximated by the values of h and u at the front cell (i.e., h FC and u FC ).
The younger or older individuals were categorized by the approximated mean age value among controls [i.e., <45 or ≥45 years].
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com