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The major challenge in implementation was to reduce memory usage, as the algorithm operates on two matrices (unlike only one, in the case of the classical Smith Waterman algorithm) and requires additional storage for recording of traces to locations of maxima (Fig. 3B).
In mathematics, the kronecker product is an operation on two matrices of arbitrary size resulting in a block matrix [14].
Secondly, to categorize individual fishing sets, cluster analyses were applied on two matrices (rows × columns): (a) species landings composition x fishing days and (b) revenue of species landings × fishing days.
Most previous studies analyzing baseline cortisol levels across menstrual cycles have been conducted using cross-sectional designs, have been focused on particular days or narrow time windows within the cycle, and have been based mainly on two matrices with important limitations: blood and saliva.
We also examined the effect of these drugs on two matrices of Bacillus motility: tumbling frequency and swim speed.
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The P2PEDLL based on two matrix inequalities was proposed to ensure that neural networks are exponentially stable with a guaranteed peak-to-peak norm performance.
For the comparison, we apply the evaluation functions (without using any algorithms), i.e., ASR, MSR and ACV, on seven matrices (biclusters) denoted by M 1 to M 7.
Thus, the product of two matrices depends on the order of multiplication; if S and T are square matrices (matrices with the same number of rows as columns) of the same size, then ST and TS are rarely equal.
The concept of an individual consistency index and a group consensus index is introduced based on the Hadamard product of two matrices.
RhiPSCs could be maintained on all of three matrices with comparable morphology in MEF conditioned media under mechanical passage (Supplementary Fig. S4a).
On the first iteration, the NNMF optimization was run separately on the two matrices built from the rows of the respective subsets, both using the initialization matrices described above, resulting in two sets of canonical responses.
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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