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Instead, non-conserved miRNAs must be proven using a combination of detailed analyses of their sequence, biogenesis, secondary structure, expression patterns, and silencing functions.
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The proposition can be proved using a similar method as that in [25].
The following lemma can be proved using a similar argument as in the proof of Theorem 2.6 in [4].
The second claim that the expanding slope must be bounded below by (gamma') can be proved using a similar contradiction argument to above.
Notice that "any hyperconvex norm on " means essentially (i.e., up to an isometric isomorphism) the maximum norm; this follows from Theorem 2.6 and can also be proved using a geometric argument (see [19, Theorem 4.1]).
Convergence is proven, using a Lyapounov function.
The efficient injectability of HPMC/Fe3O4 was proven using a very small needle.
The stability of the closed-loop system is proven using a Lyapunov approach.
This technique was proven using a sequence of near real time neutron images obtained during the drying process.
The stability and robustness properties of the controller are proven using a smooth and homogeneous strict Lyapunov function (LF).
While the 3D-QSAR models were created for a training set of 33 compounds, their external predictivity was proven using a test set of 12 compounds.
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