Sentence examples for using the eigenvalues and from inspiring English sources

One achievement is that a general frequency response function (GFRF) is defined by estimating the coefficients, poles and zeros of the structure, rather than by using the eigenvalues and eigenvectors.

Using the eigenvalues and the eigenvectors, the wavevector spectrum can be reconstructed by using a model spectrum.

Furthermore, the semigroup T ( t ) can be easily constructed by using the eigenvalues and eigenfunctions of a differential operator A. For this reason, we first consider the following eigenvalue problem: This problem is called a Sturm-Liouville problem.

Moreover, the semigroup S ( t ) can be easily constructed by using the eigenvalues and eigenfunctions of the infinitesimal generator B. Hence we first consider the following eigenvalue problem: B ϕ ( x ) = λ ϕ ( x ), ϕ ( 0 ) = 0 ; ϕ x ( x 0 ) = 0. (19).

Moreover, the semigroup T ( t ) can be constructed by using the eigenvalues and eigenfunctions of the infinitesimal generator A. Hence, the following eigenvalue problem must first be considered: A ϕ ( x ) = λ ϕ ( x ), ϕ x ( 0 ) = 0 ; ϕ ( 1 ) = 0. (7).

We can easily find the eigenvalues and eigenfunctions of the differential operator A. Moreover, the semigroup T ( t ) can be easily constructed by using the eigenvalues and eigenfunctions of the infinitesimal generator A. Hence we first consider the following eigenvalue problem: A ϕ ( x ) = λ ϕ ( x ), ϕ ( 0 ) = 0 ; ϕ ( x 0 ) = 0. (8).

This demo suggests how to use the eigenvalues and eigenvectors of the stiffness matrix for examining the characteristics of finite elements.

Reference [15] uses the eigenvalue and the eigenvector of a system state matrix derived from the linearized dynamic model of generators to identify coherent generators.

The distributions are calculated by (55), (56), (58) and (66) using the eigenvalues λ i ed / ℋ 0 and λ i ed / ℋ 1 that are calculated from the matrix: Aed=DedCed.

The spinor vector unitary irreducible representations can be classified using the eigenvalues of (Q^{(1)}) and the field equation can be written as: begin{aligned} left( Q_{frac{3}{2}}^{(1)}-leftlangle Q_{frac{3}{2}}^{(1)}rightrangle right) kappa _{alpha }(x)=0.

The eigenvalues and eigenvectors are obtained by using the eigenvalues decomposition of.