Sentence examples for a positive upper bound from inspiring English sources

Let S be a positive upper bound for the bounded sequence { ∥ x n ∥ }.

end{aligned} (5.6) By (2.5) and Lemma 4.1, liminf_{t toinfty} frac{v(t)}{v t-r)}{v t-r1]. Thus (v(t+r)/v(t)) has a positive lower bound so (v(t)/v(t+r)) has a positive upper bound.

The MOS is the reflection of user data rate in application layer (tilde R) and modeled by utility function (U {tilde R}) in, [ {1,{Q_{max }}} ]), where Q max is a positive upper bound of MOS.

The lower bound is obtained from the upper bound and the application of the three-term recurrence relation: if B m (n, x) is a positive upper (lower) bound for U n, x)/U n- 1,x),x > 0, then B m + 1 ( n, x ) = 1 / ( x + ( n + 1 / 2 ) B m ( n + 1, x ) ) (26). is a lower (upper) bound for the same ratio.

We find a positive constant which determines an upper bound on the sampling intervals for which the stability of the closed loop is guaranteed.

As a particular situation, in Corollary 2.4, when A and B are both positive definite, the result provides a sharpened upper bound for the matrix version of the well-known Greub-Rheinboldt inequality.

We leave the solution to this problem as an open problem and instead use the method of OA described in this section to solve the problem, e.g., for the case when the measurement errors are positive, we can upper bound the position error with R ^ i [found from (20)].

In contrast, FASTLSA directly calculates a conservative upper bound approximating the p-value, making permutation unnecessary and protecting against false positives.

But it still had value as a way to set an upper bound on the collision rate.

Secondly, it provides a minimized upper bound on the output.

Therefore, we use the current FAA regulation as a conservative upper bound for safety.