Sentence examples for surely stable from inspiring English sources

Next, we state how to choose a parameter α and the stage number ν to obtain almost surely stable numerical solution based on Theorem 3.1.

In case that the disease goes extinct, we show that the disease-free equilibrium is almost surely stable by using the nonnegative semimartingale convergence theorem.

The iterative scheme (2.7) is almost surely T-stable (or the iterative scheme (2.7) is almost surely stable with respect to T) if and only if lim_{nrightarrowinfty}int_{Omega}bigl| epsilon_{n}( omega )bigr|,dmu omega)=0 (2.9) implies that (xi^{ast} omega)) is Bochner integrable with respect to ({zeta_{n} omega)}_{n=0}^{infty}).

Then model (2.2) is almost surely exponentially stable and mean square exponentially stable.

By Theorem 4.6, the solution is almost surely exponentially stable and rth moment exponentially stable, for (rin 0, 2]).

It follows from Theorem 3.3 that the equilibrium solution of such system is almost surely exponentially stable and mean square exponential stable.

Surely a stable, peaceful and confederated Iraq is not right around the corner.

But reconciliation based on limitless amounts of cash (the budget for the euphemistically-named Commander's Emergency Response Program is $1.2bn for 2010) and limited amounts of intelligence (the Foreign Office has 95 local Afghan staff but only five UK staff who speak Pashtu) is surely less stable than reconciliation based on hard politics – a share of power in return for an end to the war.

Then model (2.2) is almost surely exponentially stable.

Then the solution is almost surely exponentially stable.

Then the solution of Eq. (5) is almost surely asymptotically stable.