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It has been proved that the density will be away from vacuum at least in a small time interval provided the initial density is positive.
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 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.
The moment of the fluent represents the infinitely small part by which a fluent was increased in a small time interval.
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.
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Thus, the system has a unique optimal solution for a small time interval.
Better agreement (k = 0.54) was observed with a smaller time interval (21 days or less).
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.
This paper proves that any initial condition in the energy space for the plate equation with square root damping ζ¨−ρΔζ˙+Δ2ζ= u on a smooth bounded domain, with hinged boundary conditions ζ="Δζ= 0, can be steered to zero by a square integrable input function u supported in arbitrarily small time interval [0,T] and subdomain.
Since pressure difference response is very sensitive to injection rate change in small time interval and background values, a selection of experiment fluid with different mobility ratio should be important.
The instantaneous rate of failure known as the hazard rate is defined as the probability of failing in the next small time interval, given that one has already survived until the beginning of the interval [ 13].
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