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In addition, the role of nitric oxide (NO) and sulfhydryl group in the modulation of gastroprotective activity exerted by MEMM was also proven using the ethanol-induced gastric ulcer model.
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That ({mathrm{Tr}} P-Q) in {mathbb {Z} P-Qas finst proven by Effros [134] and can also be proven using the Krein spectral shift [616, Problem 5.9.1].
Convergence of the CFBDVB algorithm is also proved using Robbins Monro stochastic approximation method.
AP-induced hyperpolarization was also proved using 64-channel multielectrode dish system that can monitor a direct and real-time change of membrane potential.
Existence of at least one positive solution is also proved using Schauder fixed point theorem (Theorem 2.7).
Notice that the upper estimate in (3.54) and (3.55) can also be proved using the bounds for Jacobi-Sobolev polynomials given in Corollary 3.5.
The numerical results present valuable information for engineers and designers in various structural applications and also prove useful to use as benchmarks for further references.
We also prove that using the basic selectors for the granulation process is sufficient to reach the partition corresponding to the equivalence relation (sim _{Sigma ^dag,Phi ^dag,mathcal {I}}).
The uniform ultimate boundedness of the closed-loop system is also proved by using the Lyapunov approach.
Theorem 4 can be also proved by using the method in [27].
The generalized Hyers-Ulam stability of an additive-cubic-quartic functional equation in NAN-spaces is also proved by using the mentioned theorem in [17].
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