The degradation process was tracked by measuring the solution COD at many time intervals during the experiment period.
22. Norton's footnote: Since all excitation times T would have to be equally probable, the probability that the time is in each of the infinitely many time intervals, (0, 1), (1, 2), (2, 3), (3, 4),… would have to be the same, so that zero probability must be assigned to each of these intervals.
The vehicular counting accuracy of the monitoring systems can be evaluated by collecting data over many time intervals; for the k-th collecting interval, the relative error due to each system can be expressed as follows: Open image in new window (7 where: n str,k indicates the number of counted vehicle provided by the testing technology (str); n rif,k is the manually counted reference number.
To determine the lag time using this approach requires analysis of records over many time intervals [15], [16], whereas the present study focused simply on the start of spread for species that became invasive pests.
Although it is possible to derive many time intervals from administrative data and such data permit researchers to conduct population-based studies, the gold standard is prospectively collected data from patient records.
First, the number of patients censored and the number with events over each time interval of length 1 unit were calculated from Equations 2b, and the parameters of the Weibull distribution were calculated from an expression equal to Equation 4, but with half as many time intervals.
Where r i t - r i 0 is the (vector) distance, travelled by molecule i over some time interval of length t, and the squared magnitude of this vector is averaged over many such time intervals.
The parameter g k models the geometric attenuation and shadow fading, which is assumed to be independent over transmit antenna and to be constant over many coherence time intervals.
They are founded on splitting the evolution into many short time intervals, and inserting a particular resolution of the identity operator at each step.
TAT is not a standardised measure and our results clearly show that there are many different time intervals, which all claim to be a TAT.
The waveform is divided into many small time intervals, counted by i. t i is the time interval, A i is the corresponding amplitude of the wave during the time t, A is the amplitude of the waves, and t is the time interval of the wave near the peak.
