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It is important to note that in all prior studies mammographic density was assessed using area-based methods, whereas we used volumetric measures of mammographic density.
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From the results, we can find more solutions by the (exp -phi z)))-exp -phi zmethod, whereas we can obtain elliptic function solutions just by the complex method.
It took us 60 minutes 31 seconds to finish the complete alignment for these 21 sequences by using multiple alignment method [14] whereas we just need 6 seconds to get the result.
However arguments in [12] are mainly based on averaging methods whereas, in this paper, we investigate a general higher-dimensional singular equation such as (1.1) by using the Lyapunov-Schmidt reduction.
One methodological explanation for the difference between our study and that of Lee and co-workers [ 80] is that we used Bayesian and maximum likelihood methods whereas they used neighbour joining.
The third section lays out the methods that we employed, whereas the fourth section reports on the findings from the in-depth interviews with health workers and health administrators.
The latter two are aiming at the same goal with different methods, whereas I deny that Harris's goal is necessarily the one we should be pursuing in the first place.
In Figure 13c,e,e, we can see ghost artifacts in the existing methods, whereas the artifact is not noticeable in the case of our algorithm (third row).
However, this difference could be due to the different collection methods: we and Predicala et al. (2002) used impaction methods, whereas Chapin et al. (2005) used all-glass impingers.
For systematic comparison, here we used the same aligned read file for all the methods, whereas impact of aligners on the methods would further distinguish their performance.
We found that γ-MYN still performs better than the other two methods, whereas MYN is degraded to YN when κY is equal to κR.
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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