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Data from an ion pair, with the second fragment having a higher mass (higher in the column), is associated with a 13C isotopic impurity in the sample (further details pertaining to interpreting the CTOF spectra can be found in Supplementary Information Note 4 and Supplementary Fig. 12).
Data from an ion pair, with the second fragment having a lower mass (lower in the column) is associated with three-body dissociation involving neutral H or H2, and because the neutral fragment carries some momentum, the diagonal streak is broadened.
In our scheme, an extracted iris-code is vertically divided into B blocks of size w×h bits, where each block, and hence each column, is associated with a block index b=0,…,B−1.
Since cytotrophoblast progression through the cell column is associated with a downregulation of the integrin α6β4 (a likely LN receptor), our demonstration of a reduction in expression of the β4 subunit, is consistent with a role for LIF in the differentiation of trophoblast cells to the invasive phenotype.
We found that SWE plasticity as measured in the spared, principal whisker barrel column is associated with an increase in the fraction of responding neurons at low stimulus intensities, as well as in the mean firing rate of these responsive neurons.
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Each of these columns is associated with a cost of big M.
Missing columns are associated with malfunctioning nozzles.
The punching failure results from the superposition of shear and flexural stresses near the column, and is associated to the formation of a pyramidal plug of concrete which punches through the slab.
It remains possible, or perhaps even likely, that this increased column content is associated with the creation of the KH-billow structure, a consequence of dynamical instability.
The simplest approach is to first identify subsets of associated columns (in which a column of X is associated with a column of Y) and then calculate some measure of similarity between rows of X and rows of Y, across that subset of columns.
We define a c A × c B matrix - said confusion matrix - CM such that each row of CM corresponds to a cluster in A whereas each column of CM is associated with a cluster in B. The generic element CM i j is equal to the number of elements of the real i th cluster which are also present in the j th cluster found by the algorithm.
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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