Sentence examples for bound can be derived from inspiring English sources

Attention is then turned to narrow band excitation, and it is found that in the absence of secondary forces a bound can be derived for a single degree of freedom system with linear damping and arbitrary nonlinear stiffness.

In ((Millerioux et al., 2004)), it was shown that despite of the resulting mismatch between the true parameters and the available ones, the state reconstruction error boundedness can be guaranteed and an explicit but possibly conservative bound can be derived.

This bound can be derived from the half-duplex cut-set bound in [52].

Note that a tighter upper bound can be derived if the set ω i is known in advance.

Another lower bound can be derived replacing the exponential functions of (16) by their equivalent power series ([22], (1.211)) and applying ([22], (3.211)).

The upper bound can be derived following the same steps as Appendix B. It turns out that at high SNR, the gap rate is upper bounded by, Using Lemma 2, the expected gap rate is upper bounded by, (45).

On the other hand, the lower bound can be similarly derived by using the inequality (28), where the lower bound can be denoted by f x,y)=(x+y)/(x+y+x y).

The derived bound can be used as a means to evaluate the BER performance of HR-DSM when the signal-to-noise power ratio (SNR) is sufficiently high.

Subsequently, the derived solution bound can be applied to facilitate control design.

A theoretical upper bound is derived on the scaled integrated mean squared error in terms of the discrepancy of the design, and this bound can be used to choose designs that are both efficient and robust under model uncertainty.

To this end, the cooperative gain bound of the PU can be derived as (32).