Sentence examples for authors proved that from inspiring English sources

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Then the authors proved that converges strongly to, where.

Matrix equation (2) was studied in [15], and based on some conditions, the authors proved that matrix equation (2) has positive definite solutions.

By applying the Manásevich-Mawhin continuation theorem, the authors proved that equation (1.2) has at least one positive T-periodic solution.

Interestingly, the authors proved that equation (4) remains substantially valid for this interaction, by comparing the ab initio interaction energies with the empirical derivation from the kinetic energy density.

In this study, the authors proved that inhibition of caspase-3 reduced GluA1 dephosphorylation and removal from the PSD, and also reversed hippocampal function deficits at the onset of AD.

In [14, 15] the authors proved that the inequalities.

The authors proved that during photodegradation diamineethyl derivative of NOR occurs [12].

The authors proved that the Cauchy equation is equivalent to the above equation.

The authors proved that any number of sequences are simultaneous Cauchy sequence in [29].

The authors proved that this model has a unique global positive solution and derived the existence of stationary distribution.

The authors proved that the solution quenches only at (x = a), meanwhile, the time derivative (u_{t}) blows up.

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