In particular, we assume that the standard deviation of the error with which the data in the transaction matrix are observed is much higher than that of the rest of the matrix.
A promising way to suppress stress concentrations without affecting stresses in the rest of the matrix was to position CNTs in a network that is interdependent with fiber positions.
The results show that the thermal residual stresses are high enough to generate dislocations and the dislocation density is higher in the interfacial region than the rest of the matrix.
We denote the residual vector at the t th iteration by r t, the support of signal at the t th iteration by S t, the sub-matrix formed by the columns of X according to the support S t by X S t, and the rest of the matrix X by X S t ̄.
I mean, if good old Schwarzenegger didn't teach us a cautionary tale, then surely Neo and the rest of the Matrix crew did?
Each non-zero element in eq.1 corresponds to an arrow in Fig. 4. Thus, the first row contains the parameters related to fertility, F, and the first-year survival, S0, while the rest of the matrix includes the transition probabilities between all stages identified during the time interval t, t+1.
Real versus spurious co-expression interactions can be thus gauged from the color-coded reordered correlation matrix (e.g., Figure 1, Figure 2, Figure 4A) wherein clear tightly-formed red squares along the diagonal reveal groupings of co-expressed genes while the rest of the matrix represents tags that do not belong to any of the contigs.
Clusters were then identified in the reordered matrix as sets of seed voxels showing strongly correlated connectivity patterns with each other and weakly connectivity patterns with the rest of the matrix (cf. Johansen-Berg et al. 2004; Kim et al. 2010; Eickhoff, Bzdok et al. 2011).
If we keep only the column vectors of and corresponding to the largest singular values and discard the rests of the matrices, the sizes of the matrices in (1) are as follows:,, and.
Finally, the rest of the feedback matrices of the robust observer can be obtained by solving an optimal problem with H∞,F/H−,F as the minimizing object.
