Sentence examples for matrix expression for from inspiring English sources

The proposed method produces a simple matrix expression for the deflection of the beam.

We introduce a cut-off in the excitation number to give a matrix expression for the excitation ladder operators in a Fock basis of bosonic number states.

The following lemma is fundamental for the matrix expression of logical functions.

Using a common set of 12,368 genes, we constructed a correlation matrix of expression for gene pairs across the RH panel and a similar matrix across the 79 tissues of the SymAtlas.

In symmetric block matrices or complex matrix expressions, diag stands for a block-diagonal matrix, and ∗ represents a term that is induced by symmetry.

Furthermore, introducing the matrix (mathbf {widetilde {W}} = left (mathbf {w}(0), mathbf {w}(1), ldots, mathbf {w}(K) right)^{mathsf {T}}) allows us to obtain the following matrix-vector expression for (48): begin{array}{*{20}l} mathbf{r} = mathbf{widetilde {W}}(boldsymbol{varphi} + boldsymbol{epsilon}) end{array} (49).

This method, called the matrix rank method, is available for studying various matrix expressions involving generalized inverses of matrices.

Using moment analysis and matrix diagonalization, expressions for the first and second chromatographic moments of components and waves, written in matrix form, are derived.

Based on the parametric solutions of a Sylvester matrix equation, a parametric expression for all the gain matrices of reduced-order state observers is presented, and a parametric design method of reduced-order state observers is proposed.

We use the method of next generating matrix to determinate the expression for (Re_{0}) [20}.

Because matrix changes largely reflect alterations in the biology of the cells, it is not surprising to find that during ageing and degeneration, the cells of the NP exhibit altered patterns of gene and protein expression for matrix molecules, degrading enzymes, and catabolic cytokines [ 5- 9].