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The predicted limiting current density and stack voltage based on the asymptotic solutions for sufficiently short channels agree well with those of measurements for both cases with and without spacers, revealing the validity of the present analysis based on the local electro-neutrality assumption.
Solutions to the Cauchy problem for the one-dimensional cubic nonlinear Schrödinger equation on the real line are studied in Sobolev spaces Hs, for s negative but close to 0. For smooth solutions there is an a priori upper bound for the Hs norm of the solution, in terms of the Hs norm of the datum, for arbitrarily large data, for sufficiently short time.
In agreement with the present investigation, very short peptide sequences were found to be able to reach potency also in the biological context, although with the potency decreasing for sufficiently short hydrophilic sequences.
For example, for sufficiently short MT filaments, few MTs from the anterior can reach and contribute to orientations in the posterior half of the oocyte.
Relevant results are summarized in Table 2. Figure 7 shows that for sufficiently short reporting delay medians, the upper outbreak control condition could eventually be satisfied for all 6 diseases.
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It is assumed that, for sufficiently short-lived transients, the viscosity distribution in the cross-section may be regarded as constant and equal to that in a pre-existing steady flow.
For example, light of sufficiently short wavelength can dissociate molecules that are captured in the middle of a cluster of nonreactive atoms or molecules.
Boundary layer solutions were obtained for the two asymptotic cases of sufficiently short and long channels, respectively, when the electric current is applied uniformly across the channels.
However, our (first ever) Bloch wave stability analysis of the post-bifurcated equilibrium paths shows that the flower mode is stable for all sufficiently short wavelength perturbations.
which for a sufficiently short time interval Δt = t - t0 is solved by.
If the ligand is placed on a spacer unit such as PEG, the remaining PEG (necessary for circulation enhancement) must be of sufficiently shorter length in order not to interfere with binding to the receptor.
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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