Sentence examples for matrices we expressed from inspiring English sources

For selective purification by means of immobilised metal affinity chromatography (IMAC) matrices, we expressed the genes as fusions with a vector-encoded N-terminal (His 6-tag.

To construct a beamforming matrix W i ( k ), we express K GI i ( k ) in (2) using the eigenvalue decomposition as K GI i ( k ) = V GI i ( k ) D GI i ( k ) V GI i ( k ) H, (5).

In this study, we express each similarity matrix by splitting the matrix into four parts.

This matrix was symmetrized as A i j = (B i j + B i j T ) / 2 if we express the original matrix as B ij.

We express (12) in matrix form as (13).

In the following discussion, we express the Hessian matrix in Eq. (18) as U ‡.

For clear analysis, we express the 2MN × L matrix Y as Y (1).

Therefore, the vector f=[f z1),…,f z P )] is distributed as (p(mathbf {f}|mathbf {Z},kappa,beta,delta)=mathcal {N}(mathbf {f};mathbf {0},mathbf {K})) where 0 is a 1×P vector, K:=κ z i,z j ), for all i,j=1,…,P is a P×P matrix, and we have expressed explicitly the dependence on the choice of the kernel family κ in Eq. (22).

Explicit expressions for the elements of these four matrices are expressed in terms of elastic stiffness for general anisotropic materials.

Then the distance between two rank matrices is expressed by using 1-norm as follows: (3).

The size of matrices is expressed via their subscripts, whenever necessary.