Sentence examples for by introducing the matrix from inspiring English sources

In particular, problem (2) can be solved by introducing the matrix Ŝ of the eigenvector associated with the first M eigenvalues of the correlation matrix R x and a matrix Ψ that has the same eigenvalues of Φ and verifies the relationship: {widehat{boldsymbol{S}}}_2={widehat{boldsymbol{S}}}_1boldsymbol{Psi}, (3).

By introducing, the matrix exponential of Qt becomes.

Consider analysis of a mixture containing K pure components, whose mass spectra are δ1, δ2,..., δ K : (1) The above equations can be written more concisely by introducing the matrix Δ, (2) Let C be the matrix of concentrations of K pure components over the time of the GC-MS experiment, sampled at points t1, t2,..., t R.

Here, by introducing the combination matrix U, we can flexibly select the form of the matrix to obtain different error combinations.

Next, the strategic relation of economic traffic and leadtime is considered by introducing the production matrix table.

By introducing the Rzz,k matrix defined by R zz, k = ∑ u = 1 U E h z, k, u * h z, k, u T (8).

(3) Finally, the integrated form equation is converted to an algebraic equation by introducing the operational matrix of fractional integration of the Laguerre polynomials.

(iii) Finally, the integrated form equation is converted to an algebraic equation by introducing the operational matrix of fractional integration of the modified generalized Laguerre polynomials.

The singularity orders and characteristic angular functions can be derived by introducing the interpolating matrix method to solve the established characteristic equations.

Meanwhile, by introducing the stiffness matrix of the soil base, the compressible and permeable boundary conditions are more acceptable in practical engineering and the global stiffness matrix is then solved in the transformed domain.

First, we provide a brief description of Legendre polynomials, and then we try to find the relation between the Legendre polynomials and the normalized Bernstein polynomials by introducing the transformation matrices W and G.