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The following proof is standard, but a proof will be given for completeness.
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The following detailed description of signal processing at CRs in the sensing phase is basically the same as that in[3], and it is given for completeness.
The DNA damage response data is less suitable for comparative analysis due to the sparse annotations; the results are given for completeness in Figure S1, but will not be discussed in detail here.
Highest points were given for ease and completeness of gunk removal; an aesthetic filter (my own) was also applied.
We close this section with the following lemma whose elementary proof is given for the sake of completeness.
Top 1 Top 3 Unbound Bound Unbound Bound PocketPicker 69 72 85 85 LIGSITEcs 60 69 77 87 LIGSITE 58 69 75 87 CAST 58 67 75 83 PASS 60 63 71 81 SURFNET 52 54 75 78 LIGSITEcsc1 71 79 - - 1Results of LIGSITEcsc are given for the sake of completeness.
Top 1 Top 3 LIGSITEcsc1 75 - LIGSITEcs 67 87 LIGSITE 65 85 PocketPicker 59 71 PASS 54 79 SURFNET 42 56 1Results of LIGSITEcsc are given for the sake of completeness.
We also agree that the analytical expressions (which are given for the sake of completeness) are somewhat complicated, and in are best illustrated by plots as for the numerical results.
First, the overview of the system was given for the sake of the completeness and the technical merits were discussed.
Since the derivation of the necessary regularization matrix for the Euler vector and the associated equations will be based on the least-squares, the estimation model will be given very briefly for completeness rather than a complete summary.
Baneyeva and Popova did not locate the H1 atom but a value for z H1 is given here for completeness.
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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