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We apply Laplacian smoothing of weight 1 to all matrices to avoid sparsity issues and to account for the cases when editions co-edit a topic of a general encyclopedic importance which might be relevant for multiple language communities.
We relied on microfiltration for our assay and had to centrifuge the food matrices to avoid clogging and did not monitor any losses of toxin or complex in that process nor adherence to the filters themselves.
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Also, uniform dispersion of SNCC causes homogeneous heat distribution throughout the rubber matrix to avoid heat concentration [12].
To ensure safe and robust treatment, it is vital to define the ozone demand and ozone kinetics of the specific water matrix to avoid ozone overdose.
The first one is based on partial pivoting and the second uses a random preconditioning of the original matrix to avoid pivoting.
The uniform dispersion of Si-69-modified nano ZnO not only restricts the thermal motion of the rubber chain within the network structure, but also causes homogeneous heat distribution throughout the matrix to avoid heat concentration [29, 30].
In this context, however, we prefer the term "conductance matrix" to avoid confusion, as adjacency between nodes in the graph derived from the grid does not necessarily imply spatial adjacency between the cells represented by the nodes.
Next, the mean pixel value of the extracted matrix was subtracted from the matrix to avoid an offset in the Fourier transform.
Identifying new EFMs becomes increasingly difficult as every solution is appended to an ever-growing constraint matrix to avoid repeated outcomes.
Build training matrix: To avoid duplicate calculating the frequency of a test and the joint frequency between two tests, we build a training matrix out of the training data.
The reflection and transmission coefficients through finite multilayered structure are also calculated based on the stiffness matrix method to avoid the numerical instability of the transfer matrix method.
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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