Consider a (small) time interval of δt > 0, during which a data volume of δb is transferred (i.e., if the full bandwidth is used, δb = Mδt).
Note that the trajectory of Cluster spacecraft covers the current sheet twice with a small time interval of 18 31 30 18 31 50 UT (refer to the shaded area in Fig. 1 of Zhou et al. (2014)) but cannot be exhibited in this figure.
We assume that for a small time interval of length Δ the rate of reaction type R m remains constant, i.e., is equal to α m (z).
The definition of d is as follows: P 0) is a set consisting of the single pair 〈root tube d0, 1〉; that is, d0 0) = 1; let for a nonroot tube d = (s1, s2) hold τ = t(s1); then, by induction from root to leaves assume that d equals d′, where d′ is the parent tube for d; determine the change of d in a small time interval δt of the argument such that d contains τ + δt.
For the force-time history of large trucks (LTs), sudden peaks and variations have compelled the use of a smaller time interval for a stable analysis.
The capillary end effect is obvious in a small time interval resulting in large errors of production data, while the variable features of production index cannot be reflected in a large time interval and hence, a modification of production data is requested following these principles.
Thus in a small time interval ( t, t + Δ t ), the probability for a vote is v ( t ) Δ t, and this is independent of votes in other time intervals, by the definition of a Poisson process.
The moment of the fluent represents the infinitely small part by which a fluent was increased in a small time interval.
The presented Monte Carlo collision operator, which has a simple form, fulfills particle number, momentum, and energy conservation laws quasi-locally and is equivalent to the nonlinear Fokker Planck operator in the limit of infinitesimally small time interval of the binary collisions.
Supporting the latter hypothesis is the small time interval of six months between the first and second wave for the new virus to spread worldwide, and the increase in the number of deaths from influenza-like illness in military camps and in small civilian communities during the winters of 1916 and 1917 [21].
Since the two MPGs in a diffusion-weighted sequence (Fig. 1) are applied within a very small time interval (in the order of 50 ms), additional respiratory motion can indeed be regarded as coherent motion.
