Sentence examples for for a small time interval from inspiring English sources

Thus, the system has a unique optimal solution for a small time interval.

In Fig. 5, the pressure of the inner tube is p. The train windward side is x z side with area S. For a small time interval dt, the train moves with distance dx.

Furthermore the basic intention is to design a general and integrated method that is not just able to analyse a certain single load case for a small time interval, but to generate representative PSD and CPSD spectra replacing extensive measured loads in time domain without losing the necessary accuracy for the fatigue load results.

However, for a small time interval, the 2D loss model can approximate the 3D layer model much more accurately (see Fig. 2).

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).

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 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.

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.

Better agreement (k = 0.54) was observed with a smaller time interval (21 days or less).

If we assume that the initial density and temperature are strictly positive and that the initial data are sufficiently smooth spherically symmetric functions then our problem has a generalized solution for a sufficiently small time interval.

To prove the uniqueness of the optimality system, we use a simple lemma for the small time interval.