Sentence examples for we further prove that from inspiring English sources

We further prove that these schemes are unconditionally energy stable.

We further prove that the probability of the complete synchronization converges exponentially fast.

We further prove that our proposed design is secure in the random oracle model.

We further prove that the worst-case inefficiency performance of ICWE is no worse than the standard Wardrop Equilibrium with one type of users.

We further prove that the dynamic nature of the system can be optimally captured by a time lag shift of two samples.

In the special case of cofinal 2-graphs we further prove that AF-embeddability, quanddiagonality and stable finiteness of the 2-graph algebra are all equivalent.

We further proved that the electro-catalytic property of PtNPs/RGO could be tuned and, because of the clean, well-dispersed PtNPs and the synergistic effect between the PtNPs and RGO, the PtNPs/RGO expressed higher electro-catalytic activity and better tolerance for methanol oxidization than a commercial Pt/C catalyst.

Firstly, we introduced the basic reproduction number (R_{0}^{D}) via the next generation operator and associated linear eigenvalue problem, and we further proved that (R_{0}^{D}) served as a threshold parameter which predicts whether the coexistence exists or not.

We further proved that ERK3 deletion disrupted the attachments between microtubules and chromosomes.

We further proved that the suppression of TH17 cell differentiation was dependent on the dose of Baicalin (Figure 1C).

We further proved that RFAV is the predominant virus in the lesion tissues of sick animals.