Sentence examples for matrix methods the from inspiring English sources

According to split-coefficient matrix methods, the SWEs can be transformed to a characteristic form, which can easily present information of characteristic in the correct directions.

For both the transform and matrix methods, the errors are found to be most severe near the boundaries of the domain, where they grow as (1 −x2)−12 as x approaches ± 1. Comparisons are made with the errors associated with derivatives of functions approximated by Fourier series, in which case it is reported that the errors only grow linearly with N and are evenly distributed throughout the domain.

Using the transfer matrix method, the partition function and the subsequent statistical properties are evaluated.

Using the transfer matrix method, the band structure of an infinite periodic straight pipe structure is calculated.

In this study, based on the fuzzy risk matrix method, the installation is successfully guided and conducted.

By using the 4 × 4 transfer matrix method, the pronounced contrast in the behavior of the P-and the S-polarized modes were demonstrated.

Using the dynamic stiffness matrix method the natural frequencies of the system can be determined which are analogous to the eigenvalues of the quantum graph.

Based on the Bloch theorem and the transfer matrix method, the nonlinear polynomial eigenvalue equation for the periodic viaduct is derived using the impedance of the piers.

Using the transfer matrix method, the complex band structure of the flexural wave is calculated to investigate the gap frequency range and the vibration reduction in band gap.

By employing a suitable Lyapunov function, and the second additive compound matrix method, the main results as shown in Theorems 3.4 and 3.8 have been derived.

The user has the ability to choose the values to be used to cluster, the type of distance matrix method, the type of linkage method for hierarchical clustering, and which biological concepts to include.