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(7 Now if we obtain the exact value of ∆x and ∆y, according to obtained ideal value of X and Y with formulas (1)–(5), we will have a general formula for the relaxed value of x and y, and the relaxation of nanoribbons will not be needed any more.
When using a larger set of reference mutations, and with multiple highly similar sequences, the problem of finding a relaxed value for read percentage with non-reference nucleotide that allowed detection of the entire mutation set was amplified.
The results of this analysis have been presented in Figure 3 figure supplement 4. As the threshold is reduced from a stringent to a low, more relaxed value for cell-pair selection, the number of templates is expectedly increased.
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In order not to force users to repeat searches with less stringent values, we used relaxed values in the Kassiopeia prediction pipeline (see below).
The user can then freely adjust the default values for all prediction parameters to more restricted or relaxed values within the advanced options in the Kassiopeia web interface.
According to Professor Bogle, it's: the collapse of advanced planning, lopsided gender ratios on campus, delaying marriage, relaxing values and sheer momentum.
In the filtering step, since all 15 pairs were to be predicted, following the guidelines (Supplementary Material) the user relaxed the value of C to 1.1 such that all gene pairs passed the filtering process of Equation (1).
Then, AbrB-binding signals between them were evaluated using a relaxed threshold value, corresponding to the signal intensity at the top 10th percentile of all nucleotide positions across the genome (Supplementary Fig. S4).
From Theorems A-D a natural question is what results we can get if the condition that (f z)) and (Delta_{c} f z)) share two values CM or three values IM is relaxed to one value CM and another one IM or even two values IM, and if (Delta_{c} f z)) is replaced by (Delta_{c}^{n} f z))?
Differentially detected signals were those with a slightly relaxed p-value cutoff of 0.1 [36], [36], in case that the true positives were excluded.
We employed a relatively relaxed E-value cutoff of 1e-5 in order to increase the coverage.
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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