Sentence examples for concerning the matrix from inspiring English sources

Concerning the matrix effects, a predominant role of the desolvation system was found, while the influence of the aerosol generation mode was much less important.

Concerning the matrix A we assume that A is symmetric, positive definite and that its entries are C1,γ-smooth functions.

The data concerning the matrix effects caused by concomitants (i.e. sodium and calcium) indicated that the extent of these effects was higher for the DP than for the SP and CC.

Concerning the matrix polymers, while the pristine PEO and PEI began to thermally decompose at 185 and 230 °C, respectively, the (8/2) PEO/PEI blend had lost only 6.5% of its weight before 300 °C was reached.

Therefore, any improvement concerning the sensing matrix results in higher reconstruction accuracy and reduction of the number of necessary measurements.

Section 2 summarizes briefly the fundamental methods and algorithms concerning the distance matrix.

Note that concerning the system matrices of the delay-free limiting systems and with and of zero delayed dynamics and zero delays, respectively, one has the respective -matrix measures Provided they are stable, those limiting systems possess the respective Lyapunov's functions and with respective time-derivatives: (2.17).

This has two major implications: (i) the problem conditioning shows up explicitly and could be controlled through a constraint on the so-called coherences and (ii) a performance criterion concerning the factor matrices can be exactly calculated and is more realistic than performance metrics used in the literature.

Although Equation 2 is sufficient for breeding value prediction, to define a realized relationship matrix, a convention is needed concerning the scaling of the matrix.

Concerning the corresponding Gram matrix, incoherence involves explicit operations on the absolute values, while tightness involves operations on the eigenvalues.

These results concerning the role of matrix stiffness and topography are informative, but often these studies are conducted on 2D substrates.