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Both the induced displacements and stresses are expressed uniformly in terms of simple and explicit line integrals along the dislocation loop.
We show that the acoustic farfields corresponding to the scattered waves by this collection of obstacles, taken to be soft obstacles, converge uniformly in terms of the incident as well as the propagation directions, to the one corresponding to an acoustic refraction index as a→0.
Remark 1 It has been shown by Bank [10] that the growth of a meromorphic solution of a linear differential equation with meromorphic coefficients cannot be estimated uniformly in terms of the growth of the coefficients alone.
However, the lunar gravity field was not sampled uniformly in terms of the periapse altitude.
The Kolmogorov-Smirnov test was used to determine whether the LTRs are distributed uniformly in terms of their chromosomal location.
For these comparisons, we grouped E10 and E11 explants together because they behaved uniformly in terms of whether the MMs regressed or not, depending on the absence or presence of exogenous growth factors.
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It is uniformly stable in terms of the (possibly small) Knudsen number, and can capture the macroscopic fluid dynamic (Euler) limit even if the small scale determined by the Knudsen number is not numerically resolved.
Work by black artists today is almost uniformly understood in terms of its "blackness," with audiences often expecting or requiring it to "represent" the race.
It is clear that the crystal of pure polymer PLA is small in size and quite uniformly dispersed in terms of distribution (see Fig. 5a).
The allocation of quality layers is, therefore, a fundamental issue for JPEG2000 encoders, which commonly distribute layers logarithmically or uniformly spaced in terms of bitrate, and use a rate-distortion optimization method to optimally form them.
"Her reputation at Denver and the comments from people we heard who know her work well in Denver were uniformly glowing in terms of her management, her people style, her humility".
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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