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Moreover, in setting up the algorithms, the divisors were arranged one above the other, yielding a place-value notation for the underlying equations: the row in which a number occurred was associated with the power of the unknown whose coefficient it was.
Two authors of the paper classified the patterns independently of each other, yielding 100% agreement.
Their dimensions were very close to each other yielding nearly matching resonance frequencies.
In such a situation, depending upon the phase interactions, the individual Doppler signatures may destructively add to each other, yielding a significant reduction in overall signal energy accumulation through a coherent fusion process.
As for Sc- and Co-doped black phosphorenes, the total DOS of the majority and minority states are completely compensated with each other, yielding zero spin moment (see Fig. 7 a).
Analytic and numerical results show that the proposed scheme can maximize the achievable sum rate when the principal eigenvectors of the transmit correlation matrix of the intended and the CCI channel are orthogonal to each other, yielding a sum rate performance comparable to that of the minimum mean-square error-based coordinated beamforming which uses instantaneous CSI.
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As a by-product, it is shown that RelaxMCD is a general technique encompassing the two others, yielding insight into their overall good performance.
Compared with other polyols yielding about 2 cal/g, erythritol yields only up to 0.2 cal/g, which is due to the fact that erythritol does not undergo systemic metabolism in the human body but is excreted unchanged in the urine (Moon et al. [2010]).
The carrot blend shrinks down more than the other mixes, yielding 15 to 16 latkes, whereas most of the other recipes make 30 or more.
Their correlations with the other self-report measures suggest that the first factor (depression) is more strongly associated with the other measures yielding similar results as the total score.
Furthermore, when words borrowed from different languages are partially alike, one of them may be analyzed and inflected in terms historically appropriate to the other, thereby yielding blends of complex etymology.
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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