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Make it sufficiently small that it will fit perfectly over the bottom part of your hair clip.
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First of all, we construct the local random invariant manifold of it for sufficiently small (R>0) and prove its exponentially attracting properties of the corresponding random dynamical system by using the method in [23].
Since it is sufficiently small when i→∞ compared with the variance of noise, it can be neglected.
The above propagation errors have been estimated with a relative measurement error of 1%, and it is expected that the propagation error is proportional to the measurement error if it is sufficiently small.
Take 0 < τ < 1 such that it is sufficiently small.
This illustrates that the perturbation of the inequality functions, even defined by the strong sup-norm metric, when it is sufficiently small, cannot guarantee that the perturbation of their section mappings is sufficiently small.
The effect of parallel resistance, when it is sufficiently small, is to reduce the open-circuit voltage and the fill factor [8].
When it is sufficiently small, i.e. β|ω min (G g )|<1, a unique equilibrium exists since the opposing forces 'balance out' to converge to a single point.
Since large stresses evolve during cooling, the exact value of the yield stress at high temperatures does not strongly affect the final stresses in the coating as long as it is sufficiently small.
The value of α is selected arbitrarily, subject to the condition that it be sufficiently smaller than unity; this probability is as a surrogate for the velocity of sand particles.
This periodic solution is called stable if it has a sufficiently small neighborhood (bigcup(Gamma')) such that the Ω limit set of trajectories starting from any point (Qinbigcup(Gamma')) is (Gamma').
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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