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In addition, it has to be acknowledged that part of the evaluation effectiveness on Model R originated from item parceling of HCFA Model F' and Q', which decreased the number of elements in the observed covariance matrix and narrowed the residuals between the reproduced covariance matrix and observed covariance matrix in the process of model fitting [ 50].
We incorporated tin oxide nanostructures into the graphene nanosheet matrix and observed that the phase of tin oxide varies with the morphology.
Furthermore, we genetically modified C2C12 myoblasts with Runx2, cultured the cells on polystyrene fibre matrix, and observed that the fibre matrix stabilised and sustained exogenous Runx2, which led to the promotion of osteoblast differentiation.
Where actual i, j) and appr i, j) are (i, j th element in the true value matrix and observed value matrix having m rows and n columns respectively.
By contrast, Varalda et al. investigated Fe/ZnSe films consisting of Fe-clustered particles embedded in a ZnSe matrix and observed significant negative MR only at low temperature [15].
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We examined quantitatively whether the eighteen cell types that we profiled are sufficiently distinct to be resolved by their expression signatures by performing singular value decomposition (SVD) on the basis matrix and observing the values of the diagonal matrix.
Recently, in collaboration with N ogami [ 12], we are able to explant small fragments of muscle in the medulla of segments of diaphyseal decalcified bone matrix, and observe differentiation of mesenchymal cells into cartilage in a chemically-defined tissue culture medium within a period of nine days.
They constructed a position-specific scoring matrix (PSSM), and observed that the preferred residues for µ- calpain and m- calpain recognition are Leu, Thr and Val in the P2 position, and Lys, Tyr and Arg in the P1 position [16].
Lindsey et al. showed that aging alters extracellular matrix remodeling and observed that middle aged (15 month-old) and older (23 month-old) CB6F1 mice had increased soluble protein fraction and decreased insoluble collagen compared to young mice.
A Mantel test tests the alternate hypothesis of correlation between two matrices against the null hypothesis of no correlation by permuting the rows and columns of one of the matrices and observing the distribution of the correlation statistic.
By determining alterations in collagen at the vicinity of tumors in vivo, it has been suggested that a strong relationship exists between both collagen density and matrix architectural organization and observed increased breast tumorigenesis [ 22].
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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