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The slowest decay rates at 300 K in Fig. 5 are obtained by fitting a sum of several exponential functions to those decay curves.
The spectra were quantitatively analyzed in the low-loss region, i.e. energy loss ≤50 eV, by fitting a sum of two Lorentz functions begin{aligned} S (E =L_1(E)&+L_2(E + O end{aligned (1)with begin{aligned} L_i(E)&= frac{2A_i}{pi } frac{w_i}{4 left( E-E_iright) ^2+w_i^2}, quad (i=1 withnd{aligned} (2)to the deconvoluted spectra.
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We obtained similar results attempting to fit a sum of exponentials model.
While analysis of the log2 ratios of proteins encoded by non-duplicated genes showed a normal distribution, log2 ratios of proteins encoded by duplicated genes fit a sum of two populations one of which was significantly attenuated.
Nonlinear regression analysis of the protein data best fit a sum of two normal distributions; one with a mean increase of twofold, the other with a significantly reduced mean increase of ∼1.6-fold (R = 1.00, Figure 2B).
In two strains, the ratios of protein levels of duplicated genes fit a sum of two normal distributions; one with a mean increase close to twofold, the other with significantly reduced mean close to zero (R's = 0.94 and 0.92, Figure 3 figure supplement 1B).
Fitting to a sum of two Gaussian distributions did not reveal the second (intermolecular) component of FRET between Vα1CC and Rβ1b (Table 1).
Fitting to a sum of single exponential and Gaussian functions is shown in blue.
This behavior is likely due to multiple-wave admixture in the genetic history of the Maasai; indeed, it is visually evident that the weighted LD curve for Maasai deviates from an exponential fit and is in fact better fit as a sum of exponentials.
Each individual peak could be reliably fit using a single Gaussian relationship (r > 0.98, Figure 2C D, colored dashed lines), and the entire set of peaks could be fit by a sum of Gaussians (see Figure 2 source data 1; 'Materials and methods').
The parent fraction was fitted using a sum of exponentials.
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