Sentence examples for bound of the maximal from inspiring English sources

For the 2n-parameter compartment model, compared to the upper bound by Carathéodory׳s theorem, the upper bound of the maximal support size is significantly reduced by the analysis of related Tchebycheff systems.

For the undamped Timoshenko equation, Bainov and Minchev [21] gave sufficient conditions for the nonexistence of smooth solutions of (1), with negative initial energy, and gave an upper bound of the maximal time of existence.

Under stronger assumptions, the Berry-Esseen theorem, or Berry-Esseen inequality, specifies the rate at which this convergence takes place by giving a bound on the maximal error of approximation between the normal distribution and the true distribution of the scaled sample mean.

Clearly, K is the upper bound on the maximal Markov order.

The next result gives an upper bound on the maximal harvesting level.

Moreover, a lower bound for the maximal existence time and lower semicontinuity of the existence are derived, the multi-peakon solutions are also obtained.

Using 800 or 900 Ma for the maximal bound of the crown bilaterian divergence further pushes back the estimated time of these two divergence points by another 60 100 Ma.

If the bound of the CI that reflects the maximal estimate for inferiority is less than the margin (does not 'cover' the margin), then it is concluded that the new treatment is non-inferior to EET.

In case of non-zero poles on the imaginary axis, maximal admissible upper bound of the time-varying delay is given in terms of both the agent dynamic and network topology; otherwise, consensus can be achieved for the time-varying delay with arbitrarily large upper bound.

Up to now, the least upper bound of the number of limit cycles has been given for six cases of (1.5) except for case 4. By the result of [19], the maximal lower bound of the number of limit cycles for this case is five, therefore the least upper bound is more than or equal to five.

To examine the worst case, we then repeat the comparison of reduction in harm and loss of efficacy by calculating ARItarget(i) using not the point estimate for RRItrial but the bound of its CI that reflects the maximal inferiority of the new treatment.