First derivative of the averaged weight loss (DTG) were also obtained.
The loadings vector of PC2 (Fig. 8c) shows a difference in lipid absorption between the two cell lines as illustrated in the graph of the second derivatives for the average spectra (Fig. 8d): Here the absorbance of DLD1 cell spectra is higher than in CHO-K1 cell spectra, thus suggesting higher lipid content in DLD1 cells.
As such, the MSER precoder matrix is found by a constrained gradient descent minimization method, based on the derivatives of the average SER.
The PC1 loading vector (Fig. 4c) could identify the differences between the two groups, but in order to highlight them better, second derivatives of the average spectra of each cluster were plotted together within the fingerprint range for each of the sub-regions previously mentioned (1700 1500, 1500 1300 and 1300 1000 cm−1) in Fig. 5.
Visual inspection of the images and analysis of the second-derivative intensity of the average spectra from each tissue layer revealed no significant difference in the relative levels of aggregated proteins between the three PMIs for any tissue layer (Table 4).
Solute dispersion is characterized in terms of spatial moments, where the pdf is the derivative of the transversely averaged concentration field.
The lowest value with a derivative greater than the average derivative was defined as the threshold.
c Derivative values of the averaged values of α from 40- to 50-m elevation.
It is a modified second derivative, normalised by the average of the gradient over one computational cell.
Although the gradients are derivatives of the expected average number of adult offspring produced (w m m and w m f ), the direction of selection depends on how the phenotype affects the average number of juvenile offspring produced as well as reproductive variance.
For example, the derivative gives the average of the distribution, e.g., the mean number of wards assigned to a caregiver, or the mean number of caregivers working in a ward.
