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In practice, for values α ∈ (0, α max ), the V function family assumes maximal values in proximity of local concentration of groups of elements of the set.
The values of ALT concentration of groups C, D, E and F were noted non-significant at the end of 1st and 2nd weeks whereas a significant difference were observed at the end of 3rd, 4th, 5th and 6th weeks.
The ALP concentration of chicks of group B were significantly higher than that of groups C, D, E and F, while the values of ALP concentration of groups C, D, E and F were observed non-significant throughout the experimental weeks.
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The variation in the concentration of group macerals in various seams of Matanomadh and Panandhro lignite mines is shown in Fig. 3 while the characteristic macerals are shown in photomicrographs (Fig. 4).
There were six amino acids changes in the concentration of group 3, the glycine and aspartic acid were upregulation and the contents of alanine; asparagine, proline and glutamate were lower than control (Table 1).
The concentration of group D was significantly less than that of groups E and F at the end of 2nd week.
At the slaughterhouse, no statistical differences were observed between the distributions of cortisol concentration of group A and group C PP = 0.317); but, a significant difference was found between group A and B (P < 0.001).
When analyzing the sums of concentrations of groups of related amino acids, no changes were observed for the combined concentrations of glutamate + glutamine, aspartate + asparagine, branched-chain amino acids (leucine + isoleucine + valine), or urea cycle intermediaries (ornithine + citrulline + arginine).
This is due to part of the doped nitrogen atoms act as functional groups, contributing to the total concentration of functional groups.
Respective concentrations of group D were 4.77 ± 0.86 and 2.17 ± 0.86 μg/ml (pNS compared to group B).
When comparing the urinary concentrations of group 3a with group 3b, a further significant increase was observed for LP (P=0.050), but not HP (P=0.208) with both HP and LP being increased further in two out of eight patients.
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