Sentence examples for rank b from inspiring English sources

where A ∈ C N × N is Hermitian positive definite, B ∈ C n × n is Hermitian positive semidefinite, and N ≥ rank (B).

Similarly, we have rank(B 2k )=rank(B 3)=rank(B 4 =1.

Furthermore, rank(B 1)≠0, so we have rank(B 1)=1.

We assume that B has full rank, i.e., rank(B)= m.

The identity matrix with rank b is denoted by I b.

If rank ( B ) = r, then B contains a collection of r linearly independent columns.

In addition, to further support a possible RANK-c-induced inhibition of wt RANK membrane translocation, we performed flow cytometry analysis on 293T transfected cells with wt RANK or combinations of wt RANK, RANK-b and RANK-c.

Plasmid constructs directing the expression of mock, wt RANK, RANK-b (the membrane-bound form of RANK-c) and RANK-c were transiently transfected into MDA-MB-231 cells.

As expected, wt RANK could induce the highest luciferase activity, and was highly active even in the absence of RANKL, followed by the exon 8, 9 truncated form of RANK (RANK-b), which also showed elevated luciferase activity in the absence of stimulus.

Overexpression of wt RANK and RANK-b increased MDA-MB-231 migration compared with mock-transfected cells, when recombinant RANKL was used as chemoattractant in the lower chamber.

Furthermore, RANK-c-transfected cells showed significantly (P < 0.001) lower migration rates, compared to both mock-transfected and isoform (wt RANK and RANK-b -transfected cells.