Let us set h(T,S =2 T, sharp, S, qquad f(T,S =T, sharp_{lambda}, S, qquad g(T,S =T, sharp _{1-lambda}, S. It is easy to see that h, f, and g are positively homogeneous, with respect to the first variable T, of degrees (r=1/2), (p=1-lambda), and (q=lambda), respectively.
We also show that the lower bound of h is sharp.
In the initial stage (3 h), a sharp increase of adsorption was attained.
The nanowires calcined for a time equal to or greater than 5 h shows sharp diffraction peaks as shown by the upper spectral line in Fig. 2 for a 5-h sample.
After prolonging the testing time to 400 h, a sharp increase of coke deposit with the value of 23.1% (Table 3) was obtained for MgHZ-360 with a CH3Br conversion of up to 99%.
It was observed that as the contact time increased from 0.2 to 0.3 h, a sharp rise in the glycerol conversion from 20 to 45% was observed with almost complete selectivity to GC.
The desulfurization rate reaches 95%% at the beginning, and the curve keeps in a relatively high level in the following 36 h, with no sharp falling happening in the end.
At this stage, the glucose consumption rate was so high that glucose needed to be fed every 12 h, and a sharp increase of biomass from 13 to 28 g/L was also noticed.
TGN1412 caused IL-2 concentration to increase steadily over 72 h, whereas a sharp decrease was noted at 72 h with muromonab-CD3 and mitogen.
A senescence-associated protein-related gene (MZ00020646) was upregulated at all time points, except at 9 h, where a sharp decline in the expression was observed.
At pH 5.2 and 7 °C, the spectra exhibited reasonably sharp H resonances, albeit with spectral broadening proximate to X. Six COSY peaks accounted for all cytosine H5 H6 scalar couplings of the duplex.
