Sentence examples for improving the bound from inspiring English sources

As mentioned in [1, 26, 27], like RIC, there are several benefits for improving the bound on (delta_{2s|mathcal{I}}). First, it allows more measurement matrices to be used in compressed sensing.

Then, it is natural to improve the bound periodically.

The result improves the bound on the block RIC (delta_{2s|mathcal{I}}) in [1].

In this section we improve the bound (1.2) based on the idea of preconditioning.

That helps to improve the bound of throughput from node 1 to node 8 to 5.14 packets/TS.

The result improves the bound on the block restricted isometry constant (delta_{2s|mathcal {I}}) of Lin and Li (Acta Math. Sin. Engl. Ser. 29 7):1401-1412013013).

Next it is proved that the bound (9) given in Theorem 3 can improve the bound (5) in Theorem 1 (Theorem 2.2 in [2]) in some cases.

Under a non line of sight (NLOS) condition, the roll off factor has negligible effect on error bounds, while under LOS condition, a higher roll-off factor helps to improve the bound for the timing error, possibly due to the sharper form of the first arrival in this case, related to the increase in the bandwidth.

To improve the bound in (2), Li et al. [14] presented the following result: Let (M=[m_{ij}]in mathbb{R}^{ntimes n}) be a B-matrix with the form (M=B^+C), where (B^=[b_{ij}]) is defined as (1).

If the conjugate gradient step should fail to improve the objective we revert to a VBEM update, which is guaranteed to improve the bound.

Kolpakov and Kucherov (2003) improved the bound for the Hamming distance to O nklog k + s) where s is the number of TRs found.