Sentence examples for by calculating the eigenvalues from inspiring English sources

The natural frequencies and the mode shapes of the plate are determined by calculating the eigenvalues and eigenvectors of the equations.

Thus, the sharpness method is defined by calculating the eigenvalues of the multiscale tensor once edges have been identified.

In this section, we first determine the existence of equilibria of system (1.2) and then investigate their stability by calculating the eigenvalues for the Jacobian matrix at each equilibrium.

By calculating the eigenvalues and the algebraic multiplicity of the linear problem and using a new fixed point theorem in an ordered Banach space with lattice structure, we give some conditions to guarantee the existence for a sign-changing solution.

The stability of the dynamic model was investigated by calculating the eigenvalues of its Jacobian matrix (cf. sub-section Systems-level Analyses).

The stability of the state space system can be determined by calculating the eigenvalues of the system matrix, A ([ 22, 72, 151]).

The efficiency of this new scheme is assessed by calculating the eigenvalue of the iteration, as well as solving for Poiseuille and thermal transpiration flows.

This can be done efficiently by calculating the eigenvalue decomposition of the covariance matrix of these points [24].

Then we can easily obtain (boldsymbol{e}^{T}(t)B_{boldsymbol{x}, boldsymbol{y}}boldsymbol{e}(t)=x_{2}e_{1}e_{3}-x_{3}e_{1}e_{2}<25 boldsymbol{e}^{T}(t boldsymbol{e}(t)) by calculating the eigenvalue of maximum, which implies (capprox25).

It operates by calculating the eigenvalue decomposition of a data covariance matrix or singular value decomposition of a data matrix.

The co-expression analysis proceeded by calculating the eigenvalue ratio statistic for each consecutive (overlapping) window along each individual chromosome for window sizes of 2 20.