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The sum of modified signals (total activation) is thereafter modified by a sigmoid transfer function (f).
A class of -potentials represented as the sum of modified Green potential and modified Poisson integral are proved to have the growth estimates at infinity in the upper-half space of the -dimensional Euclidean space, where the function is a positive non-decreasing function on the interval satisfying certain conditions.
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The sum of the modified signal is thereafter modified by sigmoid transfer (f) function and output is collected at output layer (Giri et al. 2011; Mandal et al. 2015).
Then, K : = ( L 2 ( I ) ⊕ C θ ρ 1 ⊕ C ρ 2, ) Open image in new window is the direct sum of modified Krein spaces.
The relative abundance of a given PTM was calculated by dividing its intensity by the sum of all modified and unmodified peptides sharing the same sequence.
We calculated the rate of reverse transcription stops from the CE and sequencing data by taking the sum of the fraction modified over all stop sites, excluding the signal at residue 13 because the reactivity at that position is due to the tethered radical source and not oxidative modifications.
We calculated the rate of strand scission from the CE and sequencing data by taking the sum of the fraction modified over all internal cleavage sites, excluding the reference bleed-through peak from CE and a high-background peak from the sequencing data (marked by *, Figure 2D).
Furthermore, the sum of triangular areas is modified to be the sum of a triangular area and double sums as follows.
The non-linear fit of the TAC of each voxel was performed by a minimization of the sum of squares using a modified Levenberg Marquardt method for bound constraints using a Python-coded customized software including SciPy and NumPY libraries.
Five-year average return on capital is calculated with a modified version of the sum-of-the-years digits method.
Relative abundance information for each peptide species was determined by taking the area under the curve of the selected ion chromatogram for the most abundant isotope for every charge state present utilizing a 10-ppm mass window and by comparing it with the sum of the areas for every modified form of the given peptide [ 49].
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