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The same discussion is valid for the negative vortices with the red line.
Notice that the above discussion is valid for any realization of the network.
Hence, in large systems, for which the present discussion is valid, when ε<ε c, ripples should be selected, while for ε>ε c, steady state solutions of (16), corresponding to anisotropic hexagonal patterns (also viewed as "dots-on-ripples" patterns), should develop.
The same discussion is valid with regard to use of polish.
Note that this discussion is valid not only for JA-OCT, but for all OCT modalities in which incoherent (image magnitude) averaging of frames with unequal signal strength is performed.
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The equations mentioned above and the subsequent figures and discussions are valid in one-dimensional layered media.
The discussion above is valid for significant F0 estimation errors precision errors, in which the estimated frequency deviates by at most a few Hertz from the actual value, are easily compensated by the algorithm as it uses a search width of around the estimated frequency to identify the correct position of the partial.
This article is focused on the heating perspective, but the discussion is equally valid for cooling applications.
Yes, indeed, their demographic information, issues and histories should be talked about, bluntly and openly -- that is valid, constructive discussion.
While this cause and effect argument is valid in most discussions on standardized testing, it is the tension in standardized administration set forth in these studies that represents the main challenge.
So, the mentioned elementary idea is valid on the following discussion.
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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