Sentence examples for cases this solution from inspiring English sources

Even in special cases, this solution set can be empty.

In this case, this solution is a heteroclinic breather solution.

Obviously you have to have an acceptable upstream network connection to make it worth your time, but provided that is the case this solution is quite elegant.

In any case, this solution is initial for solving the other dimensional fluxes, both for hyperspherical and for hypercubic, in other words the hyper-cylindrical function [33].

Owing to complexity of the higher-order equation, it is difficult to obtain rigorous analytic solutions and in most cases this general solution is not applicable.

Like Batu (2012), the horizontal well case is a special case of this solution as well.

The CDOS case analyzed in Section 3.5 is a particular case of this solution for (K^{2} = Q) and (L = 0).

The (c(x)=x^{P}) case analyzed in Section 3.4 is a particular case of this solution for (M^{2} = 1) and (L = 0).

In extreme cases, this base solution can cause chemical burns just like an acid.

While the X-ray structure suggests the presence of well-defined straight helix through-out this region, this is not the case in this solution.

In this case, the solution provided by the method proposed in this paper improves the solution implemented by the company.