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We further prove that these schemes are unconditionally energy stable.
In this section, we further prove the principle of our hybrid invisibility cloak using microwave experiments.
We further prove that the probability of the complete synchronization converges exponentially fast.
We further prove some properties of the set of sparse matrix spaces that contain Hurwitz matrices.
We further prove that our proposed design is secure in the random oracle model.
We further prove the essential self-adjointness of the Laplace operator.
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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 the significance of insulin signaling by examining the effects of insulin stimulation on cytoplasmic lipid droplet formation.
We further proved that the suppression of TH17 cell differentiation was dependent on the dose of Baicalin (Figure 1C).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com