Sentence examples for bound of sum from inspiring English sources

Thus, by the first inequality of (5.12), we obtain a lower bound of (sum R_{1}), namely.

In this paper, by exploiting the advantage of heterogeneous path loss, we first investigate the throughput of IA with limited feedback in interference channels while each user transmits multi-streams simultaneously, then we get the upper bound of sum rate in terms of the transmit power and feedback bits.

The lower bound on sum of squared singular values of a specific matrix is proposed.

So the lower bound of the sum rate from (13) can be written in terms of the sum rate of a perfect CSI system as (15).

It can now be shown easily that the lower bound of average sum-rate is maximized when α ≈ 0.414 (as for outage minimization), whereas the upper bound is maximized when α ≈ 0.618 (as in [9]).

Phys.88, 1983, 309-318) fobtaininging a lower bound for sums of eigenvalues under Dirichlet boundary conditions in order to get a lower bound for sums of eigenvalues under Neumann boundary conditions under the assumption that the domain under consideration is Lipschitz equivalent to a ball.

We use the bounds for γn,lin (2) to obtain the lower bound of the ergodic sum-rate.

In addition, a closed-form upper bound of the achievable sum-rate (SR) is derived and the same multiplexing gain is achieved when the number of relays is sufficiently large for the considered two approaches.

Weil sequences, the name has been chosen due to the dependence of correlation bound on Weil's classical bound of the magnitude of sums of Legendre symbols.

In 1978, Rassias [6] attempted to weaken the condition for the bound of Cauchy difference controlled by a sum of unbounded function and provided a generalization of Hyers' theorem.

Using arithmetic mean (AM)– geometric mean (GM) inequality, product of variances and sum of variances can be related and it can be shown that sum of variances has lower bound of one.