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Control of a target polymer chain length distribution is achieved by first computing a discrete sequence of reactor temperature setpoints which lead to the best match of a given target weight chain length distribution at a final desired monomer conversion.
The contig alignment is carried out by first computing a sequence of non-overlapping common substrings between the consensuses of C and Cʹ.
Distance-based reconstruction algorithms tackle this task by first computing a set of n 2 pairwise distances between the n input samples and then finding a tree which fits these distances.
Spatial aggregation of rainfall data from 0.25 degree grid cells to districts was performed by first computing a weight equivalent to estimated proportions of a district comprised by each grid cell.
Our method works by first computing a z score for each probe in each sample: where ' i' indexes the probe (i = 1 … s), ' k' indexes the sample (k = 1 … N), ' e ik' is the expression value of the ith probe (typically log transformed units) in the kth sample, ' μ' and ' σ' are the mean expression and standard deviation for the ith probe in the control samples, respectively.
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This difficulty can be alleviated by first computing an impedance or admittance matrix, and then using its reactive component to derive the solution for the acoustic field.
W L is the vector weight connecting the nodes in layer L−1 to the nodes in layer L, and b L is the bias of the nodes at layer L. In summary, the output of a hidden layer is obtained by first computing an affine transform of the previous layer's output and then applying the activation function.
In this note we show that the same superior accuracy can be had by first computing an eigenvector u from Ku="λDu, in which D="M1+M2 is the lumped, diagonal, mass matrix, and then obtaining the corresponding, superaccurate, eigenvalue from the Rayleigh quotient R[u]="uTKu/uTMu, M="M1+γM2 for an optimal γ.
Participants were classified as having maintained or continued making improvements by first computing their change score from baseline to follow-ups [(Δ 12months - baseline) – (Δ 6 months - baseline)] and where the result was ≤0 kg change for weight and ≤0 cm for waist circumference, ≥0 daily serves of fruit and vegetables and ≥0 sessions of health enhancing physical activity.
It computes a crisp output for the FLS by first computing the centroid,, of every consequent set, and then computing a weighted average of these centroids.
Language composite scores were derived by first computing z-scores as a function of the control mean, for each variable, and then averaging the z-scores of the constituent variables under each linguistic domain.
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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