Sentence examples for given the solutions from inspiring English sources

Given the solutions of the steady state probabilities, we know that π p (T i ) is the stationary probability that the system is in state T i, and thus, it can be thought of as the expected long-run fraction of the time that the Markov chain spends in the state T i [32]: π p T i = lim τ → ∞ 1 τ ∫ 0 τ Pr T t = T i dt (36).

Given the solutions for A k and p κ *, the state of each lineage can be calculated at the end of the internode interval that begins at time s0 and ends at time s1: (58) p i k (s 1 ) = ∑ κ m p i l (s 0 ) p κ k * (s 1 ).

Three decades later, national surveys have found that almost ninety per cent of children with severe diarrhea were given the solution.

Once the autocorrelation function is given, the solution of the characteristic equation (3).

We note that for a given the solution of (12) can be computed numerically.

Cohen et al. [12] had given the solution of (3), that is, (4).

We have given the solution simulations in Figure 1 and Figure 2 according to different α values.

They were given the solution during this mental set phase if they could not solve the problem after 2 minutes.

These sets give the solutions (29).

In this paper, we give the solutions of these problems.

At last, this assessment gives the solutions for each non-compliance.