Sentence examples for consistent with this theorem from inspiring English sources

We formulate an adaptive Riemannian metric consistent with this theorem.

We formulate the Riemannian metric consistent with this theorem which is available analytically.

In this work, if (a_{kh}(t)=a_{kh}), our conclusion will be consistent with the Theorem 3.1 in [14].

Figure 3 also shows that the computational results are consistent with the Theorem 3.2.

0 x 12 = 0. 0 x 21 = 0. 3 x 22 = 0. 7, which is consistent with the theorem 1, i.e., only the first receiver is transmitted jointly by the two transmitters.

This result is consistent with the theorems in the previous section.

As mentioned in the proof of Theorem 1, if (rho=0), i.e. the dependence between the claim size X and the inter-arrival time ξ is not considered, Theorem 1 keeps consistent with Theorem 3.1 in Tang et al. [17]; if (lambda_{t}=lambda t), Theorem 1 keeps consistent with Theorem 2.1 in Heyde and Wang [10] for the case (Finmathfrak{R}_{-alpha}). Thus Theorem 1 partly extends these two results.

In this paper, if (a_{kh}(t)=a_{kh}), the conclusion of Theorem 6 is consistent with Theorem 6.1 in [14], which means our work generalizes a global-stability result from time-invariant dispersal to time-varying dispersal.

When (lambda_{i}<0), if (p_{1}>m) and (2p_{1}-m>max{2p_{2}+1 1}-m>max{2p_{2}+1ere exists initialpha}a ((u_{0}, v_{0})) such then u blows up athereinitexists T, whinitialemains boundatau_{to T. When (m=n=1) and (lambda_{i}<0}, Theorem 1.3 is consistent with Theorem 1 in [10].

This result is consistent with Theorem 4.7.

There are several researches and technical protocols consistent with linear viscoelastic theorem.