Sentence examples for matrices as discussed from inspiring English sources

where GN,1and ΩN,1arexactlyly diagonal matrices as discussed earlier in single-user case.

The computation of a basis of this quotient space using the bases for and can be done with integer matrix decompositions of the boundary operator matrices, as discussed in [7, 8].

In practice, the allele frequencies are estimated from the data at hand, but this yields semi-positive definite matrices as discussed by Strandén and Christensen [ 33].

We shuffle or reshape the 1D input array into a 2D matrix, as discussed earlier.

Every coefficient and constant of matrix are identified with the help of index position which corresponds to each point in the matrix as discussed above.

The duplication matrix is implicitly defined as the unique N 2 × l matrix that satisfies the following equality: D N vecs(A) = vec(A) for any symmetric matrix A. As discussed before, due to the ambiguity between power and scatter matrix Σ, the parameters λ and η are identifiable (i.e., they can be estimated from the data) only by putting a constraint on Σ, e.g., tr = N.

The energy distributions for all the cases are calculated for three different inter-residue energy matrices [38] [40] but the results are presented only for MJ matrix [38] as discussed next.

The noted difference in hydration subsequently leads to a distinct difference in drug release profiles for uncoated and ethylcellulose coated matrix tablets, as discussed in the following sections.

This suggested that BN cell formation was largely due to factors other than DNA damage (e.g. matrix substrate, as discussed above).

Lack of commutability has 2 major causes: matrix effects, as discussed above, and nonnative analytes being used to prepare the reference material (13).

For MALDI-TOF analysis, 2 μL of the 200-μL reaction mixture was mixed with the matrix and analyzed as discussed in the MALDI-TOF-MS MALDI-TOF-MS MALDI-TOF-MS