Sentence examples for be shown by using from inspiring English sources

This can be shown by using Theorem 4.1.

tAll seven categories can be shown by using M = male, F = female, and arrows to indicate the direction of violence.

Next, we will show the asymptotic normality of (frac{{{1}}}{{sqrt{nh} }}W_{n}), and this can be shown by using similar methods to Theorem 2 of [25].

In a similar manner, it can be shown by using, (3.12), (3.13), and (3.19) that and are lower and upper solutions of the following -point BVP (3.20).

The existence and the uniqueness of the Nash equilibrium can be shown by using the results in [29] because the utility in (8) has the same form as the one used in [29].

It can be shown, by using (S+V=frac{Lambda}{mu}) that the disease-free equilibrium of the model is defined by E^{0}=bigl(S^{0}, V^{0}, I^{0}bigr)= biggl{ frac{mu 1-rho Lambda+omegaLambda}{mu (gamma+omega+mu)}, frac{mu 1-rho Lambda+omegaLambda}{mumegamma+omega+mu }}.

This is shown by using the fact that the most knowledgeable mathematician, at best, doubles his or her knowledge after one hour.

The continuous valley-unimodal solutions were shown by using the constructive method.

The results are shown by using a novel technique and fixed point theories.

The second part is shown by using the Robin boundary condition.

The classifier performance is shown by using simulated track data and real-world radar data.