With a novel approach, the conceptual feasibility analysis of the intensified processes was carried out by extending the reactive residue curve maps (RRCM) to mixtures with six components by implementing a substitution degree parameter.
where Ω = E{ r 2 } = r 2 ¯ is the signal variance and m the fading degree parameter.
At the final temperature, the conversion degree parameter N = 0, therefore χ = 0, i.e. the rod is fully straightened.
To model such an effect we introduce the conversion degree parameter N(T) (Fig. 1) which characterizes the degree of restriction in the segmental mobility of the polymer and changes from 0 (T > T g2) to 1 (T < T g1).
Open image in new window Fig. 7 Flowchart of the compaction recovery method based on a plan-view interpolation of the compaction correction degree parameter Step 1 Data quality control.
Here, h is the filtering degree parameter, N k is a z × z square neighborhood centered at the pixel Q(x k, y k ), a(a > 0) is the standard deviation of the Gaussian kernel, and ( Z k)=sum limits_{jin {V}_k^r}{e}^{-left({leftVert {N}_k-{N}_jrightVert}_{2,a}^2right)/{h}^2} ) is a normalized constant [45].
To derive the constitutive equations we use the following simplifying hypotheses (Matveenko et al. 2012): 1) the characteristic times of the external actions are much shorter than the relaxation times in the glassy state (T < T g1, Fig. 1), so the loading process occurs more rapidly than the relaxation process; Fig. 1 Temperature-dependent conversion degree parameter N(T).
The distribution of values for the connection degree parameter is significantly above of the random expectations for more than one third of the GO terms.
To adapt this method to our particular problem depending on the number of samples, we introduce a degree parameter, β.
This conclusion is confirmed and quantified by application of the adiabaticity degree parameter p in ref (197), since p = 1/80 for phenoxyl/phenol and 4 for the benzyl/toluene system (see also the potential energy curves in Figures 22a,b).
