Sentence examples for bounds of the existing from inspiring English sources

Thus, our analysis provides the mean convergence bounds of the existing SSLMS algorithm which was not provided in the original work [7].

In addition, the performance of the lower bound approaches to that of the existing upper bound, especially at the high SNR.

Then, a new definition for uncertainty bounds is presented in order to eliminate the type-reduction process in IT2 FLSs and to increase accuracy of the existing uncertainty bounds in the literature.

Our bounds turn out to be tight (up to logarithmic in the design dimension factors), and can be viewed as a substantial extension of the existing lower complexity bounds for large-scale convex minimization covering the nonsmooth case and the "Euclidean" smooth case (minimization of convex functions with Lipschitz continuous gradients over Euclidean balls).

First, we provide an explicit bounded state feedback law that may seen as generalization of the existing results in the nonlinear field.

Most of the existing methods can provide only upper and lower bounds on the proportion parameter that characterizes the null space condition.

However, if least squared estimation is used in the presence of large proportions of subjects scoring utility values of 1, the bounded nature of the utility value may result in implausible predictions outside of the existing range of the scale.

Numerical results show that the performance of the proposed online algorithm is close to that of the obtained upper bound and outperforms the existing algorithm.

Different from most of the existing results, the multiple disturbances are supposed to include unknown disturbance modeled by an exo-system and norm bounded uncertain disturbances.

The question of whether DNA-bound RNA polymerase can self-associate (which is important for understanding the possible functional implications of such self-association), to the best of our knowledge, has not been addressed in any of the existing studies.

But amici are also united in their view that the government's order to Apple exceeds the bounds of existing law and, when applied more broadly, will harm Americans' security in the long run".