Sentence examples for measures of matrix from inspiring English sources

Hydrogel mechanical properties ranged from 70 to 489 kPa depending on HA molecular weight, and measures of matrix synthesis, metabolite consumption and production and cell morphology were obtained to study relationships to hydrogel parameters.

DNA content was used to normalize biochemical measures of matrix production.

Among the limitations of CPCA are, first, that it is based on the assumption of multivariate normality, and second, that it results in categorical, not continuously varying measures of matrix similarity [ 26].

I contrasted the results obtained with the proposed procedure with those from other widely used ones, namely CPCA and two simpler procedures providing single measures of matrix differentiation: one, the Random Skewers, based on products with test vectors, and the other, the T method, based on the comparison of matrix elements (see Methods).

A criterion based on a simple measure of matrix distance was used to study the relation between LD and allelic identity prediction when using haplotypes.

Significantly higher levels of plasma D-dimers have been found in veins draining colorectal adenocarcinomas than in arteries [ 33], suggesting that plasma D-dimer levels are a measure of matrix remodelling in the tumour.

In the present work I propose a new, simple and distribution-free procedure for the exploration of differences between covariance matrices that, in addition to providing a single and continuously varying measure of matrix differentiation, makes it possible to analyse this measure in terms of the contributions of differences in matrix orientation and shape.

Analogous to deflating a balloon, we are effectively measuring the same amount of matrix in a smaller volume.

Throughout this article, the following conventions are used: (mu(A)): matrix measure of the matrix A, i.e., (mu(A)=frac {1}{2}lA+A^A+A^A+A^m{mA+A^(A+A^)).

We use this result to provide a significant simplification in the proof of Killip Simon (Ann. Math. 158 (2003) 253) of their result characterizing the spectral measures of Jacobi matrices, J, with J−J0 Hilbert-Schmidt.

Such a ratio is a natural measure of connectivity matrix overlap, ranging from 0 for matrices with no common links to 1 for identical matrices.