Sentence examples for matrix of proper from inspiring English sources

Matrix I means an identity matrix of proper dimension.

X is the incidence matrix of proper order.

Matrix (vector) 0 means a zero matrix (vector) of proper dimension.

Having uncovered a role for PVRL4 in enabling epithelial cells to escape growth restriction associated with the lack of proper matrix anchorage, we next sought to test its involvement in driving the tumorigenic properties of breast cancer cells.

where ((cdot cdot ^{frac {3}{2}}) is to calculate the (frac {3}{2}) power for every element in the matrix and 1 stands for a matrix of ones of the proper size.

For matrices L, M, and N of proper dimensions, the following formulae hold: begin{array}{lll}&frac{{partial}}{{partial} X}~text{tr}(LXM =L^{top} M^{top},quad &frac{{partial}}{{partial} X}~text{tr}(X^{top}LXM =LXM+L^{top} XM^{top}, &frac{{partial}}{{partial} X}~text{tr}(LX^{top} M =ML, quad &frac{{partial}}{{partial} X}~text{tr}(LXMX^{top} N =L^{top}N^{top}XM^{top}+NLXM.

The XRD and SEM images confirmed that GO layers could intercalate in the starch/gelatin matrix and proper dispersion of nanofillers in the matrix obtained via solution casting method.

In fact, for a general number of SPD matrices, a proper definition of a GM with some natural properties has only recently been developed (Bhatia, 2007).

In his seminal working paper [37], Vuong proposed the misspecified Cramér-Rao bound (MCRB) and showed that it represents a lower bound on the error covariance matrix of any unbiased (in a proper sense) estimator of a deterministic parameter vector under misspecification of the true data model.

This work helps pave the way for the identification of proper modifier fillers for polymer matrix nanocomposite materials.

The Bezout equation over the rings of proper stable rational functions and matrices is studied in this paper.