Sentence examples for corresponding solutions for from inspiring English sources

These two solutions are compared with the corresponding solutions for semi-infinite domains (LAI and EI solutions).

The analytical results obtained in this paper include the corresponding solutions for homogeneous isotropic materials as special cases and therefore can also serve as the benchmarks for checking the validity of numerical solution results.

In particular, the dispersion relation for free waves in the plate is derived, some solutions of which are presented and compared with the corresponding solutions for the exactly periodic structure.

In this paper, according to the analysis of the requirements of SR-CT technique and the restriction of SR-CT explatform platherm, the corresponding solutions for these difficulties such as separated structure arrangement, two-ply heat insulation and high precise rotation device were put forward, and a microwave sintering furnace exclusively to SR-CT experiment was designed.

Moreover, the corresponding solutions for Burgers' fluids appear as special cases of present results.

It has been shown that this fundamental solution gives the corresponding solutions for diffusion and wave equations when the fractional order is equal to one or approaches two.

Furthermore, the corresponding solution for the electron acceptor reacting with the pollutant is given.

The notion of intentionality has been pretty well worked out for cognitive states like believing and knowing, but the corresponding solution for emotional and motivational states has always been a little unsatisfactory.

For constant value of the Fick matrix [D], analytical solutions for transient uptake of multicomponent mixtures are obtained as n-dimensonal matrix analogs of the corresponding solution for single-component sorpton.

The results indicate that the dynamic intensities of a propagating crack can be represented by the product of a universal function and the corresponding solution for a stationary crack.

The corresponding solution for heterogeneous throughput guarantees is discussed in Section 5.