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We obtain the optimal decay rate for ∥ ∇ u t ∥ 2 2 by deriving its decay estimate from below, provided that either ε is suitably small or the initial data satisfy the proper smallness assumption.
which contradicts the assumption that and hence the claim is true provided is suitably small.
If γ is suitably small, then we get the uniqueness of positive solutions in one dimension.
if K is sufficiently large and ε 0 is suitably small.
Fodor's example is the frog that snaps at anything that is suitably small, dark and moving and thereby feeds itself.
Theorem 3.2 shows that system (1.2) is stochastically permanent provided that the noise intensity is suitably small.
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Thus, by the results of Case (i), we can conclude that the solution u ( x, t ) vanishes in finite time when the initial data are suitably small.
Based on these corrected values, the temporal evolution of the maximum vertical displacement in each interferogram near the center of the deformation field (assuming the horizontal component of displacement was suitably small near the center) is shown in Fig. 9. Figure 9 shows changes in the three periods of (1) JERS-1 (1993–1998), (2) ALOS (2007 2010), and (3) ALOS-2 (2014–).
The problem was finding a radar that was suitably small; CH radar's huge towers obviously could not be swung about in this fashion.
So what about something to name after Truman, something that's suitably modest — bigger than a balcony, smaller than a train station — and somehow appropriate?
Although the current catheter sheath is suitably flexible, there is a small risk that it may be damaged or sheared off by the sharp TBNA needle.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com