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The net force acting on a larger grain of diameter D embedded within a matrix of strength σc is calculated in Sánchez and Scheeres (2014) to be ∼(π/2)D2σc.
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In the matrix of high strength self-compacting concrete, besides conventional rebars serving as primary reinforcement, steel wire meshes are embedded and served as secondary reinforcements.
The correlation matrix for each breed was then transformed into a matrix of connection strengths (i.e., an "adjacency" matrix) using a power function (connection strength = |correlation|b), which resulted in a "weighted" network.
(B ) Matrix of coupling strengths between pairs of YidC residues based on an alignment of 2366 non-redundant sequences.
For each protein, we slid a square pattern (of size 17 × 17 residues = 289 cells) over the matrix of coupling strengths.
The correlation matrix is then transformed into a weighted undirected network (i.e., a matrix of connection strengths) by raising the absolute value of each entry to a power β.
The resulting matrix of coupling strengths contains several diagonal and anti-diagonal patterns of stronger coupling coefficients, which are indicative of parallel or anti-parallel helix helix pairs, respectively.
This analysis tests whether individuals with closer social bonds (as measured by the pairwise matrix of grooming strengths) tend to have more similar values for taxon abundance than those with weak or absent social bonds.
The new software package UniPeak facilitates the comparison of binding profiles from an unlimited number of samples at a consistent set of genome regions, eliminating the difficulty of reconciling many independent lists of peak calls and producing a regions × samples matrix of signal strengths, similar to those generated by microarray experiments.
A systematic analysis has been carried out to quantify the influence of matrix strength, amount of binder, and size of aggregates on the compressive strength of pervious concrete.
All the weighted Pearson correlations were converted into matrices of connection strength by a power function [ 22].
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