This technique will obviously fail in the discrete time setting, where no such thing as an arbitrary short time interval exists.
It is widely accepted that often a substantial time interval exists between infection with M.tb, and diagnosis of symptomatic disease.
However, although a small increase in cPWV was observed at the 0th minute after performing resistance exercise by using the exhalation technique during exertion, the rise was shallow and no significant difference in cPWV (P = 0.156) among the three time intervals existed (Table 3).
Where long time intervals may exist before sample collection, it is essential that the biomarker possesses a biological half-life that is as long as possible so that the temporal impact is minimized and interindividual variance kept to a minimum.
As Aquinas put it in his "Summa Theologia", "The angel is now here, now there, with no time-interval between…angels exist anywhere their powers are applied".
Therefore the nonempty interval exists.
The present study proposes a method for estimating the distribution of sub-hourly extreme rainfalls at sites where data for time interval of interest do not exist, but rainfall data for longer duration are available.
Whether there exist a time interval for which the cross-feeding genotype does better than the non-cross feeding genotype (X t)>Xc(t)) depends on a range of assumptions regarding the nature of the trade-off between the cost of cooperation and the benefit to the recipient, the initial population densities as well as the values of the intrinsic growth rates and/or the benefit of cross-feeding.
It is observed that there exists a time T such that the solution exists in time interval ([0,T]).
However, errors only exist in a time interval of tens of milliseconds (several times of particle relaxation time) and a spatial span of several millimeters (several times of particle diameter).
Unlike the case of no overlapping shown in Figure 4, no phase errors exist in the time interval.
