Exact(23)
Fix a certain k 0 and consider the scheme with k 0 interval divisions.
Figure 6 The meaning of parameters for the scheme with several interval divisions.
It should also be noted that, as a natural extension of the above said, one can consider a scheme with multiple interval divisions.
Note the role of interval divisions in the algorithm: for K not satisfying the smallness condition (11) and k 0 = 0 (i.e., when u m is constructed according to (4) without any interval divisions), the algorithm would stop at step 3 without any result.
This observation leads one to the following algorithm of investigation of the periodic problem (1), (2): 1. Fix a certain k 0 and consider the scheme with k 0 interval divisions.
In fig. 8C, r2 values from time versus interval mean values using six interval divisions are compared to corresponding r2 values which were obtained using 20, 21, 22, 23, 24 and 25 interval divisions.
Similar(37)
It is believed that this research can add new insights to the LTO interval division of crude oil regarding to the isothermal and non-isothermal conditions, which are of significance for understanding LTO reaction pathways and mechanisms.
An interval division and mean values calculation option was added to this application to enable selection between the equal time steps and different time steps methods (see the previous section for an explanation).
Consequently, mean values from 6-interval divisions of time series could not be used in further tests as a universal indicator of a positive or negative statistical meaningfulness test result.
In 19,913 of the 100,000 Monte Carlo simulation runs, means from the 6-interval division indicated that the trend was not statistically meaningful although other division types produced mean values whose trends were statistically meaningful.
The relationship between the growth rate r, the age at first division, a, and the interval between divisions, b, is approximately defined as 1 = ∑ n =0 to ∞e- r (a + n * b ).
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