Sentence examples for a new upper bound from inspiring English sources

A tighter version of Boole's inequality is derived and used to provide a new upper bound on the joint chance constraint, and simulation results are shown demonstrating the benefit of the proposed upper bound.

As an application of this set, we obtain a new upper bound for the Z-spectral radius of weakly symmetric nonnegative tensors, which is sharper than some existing upper bounds.

A new upper bound for the Damköhler number associated with diffusion controlled reaction rates is suggested.

We also find a new upper bound for the energy of (p, q -bipartite graphs.

The next theorem gives a new upper bound of the left Hadamard inequality for s-convex mappings.

As an application of the results in Section 2, we in this section give a new upper bound for the Z-spectral radius of weakly symmetric nonnegative tensors.

In particular, the new upper bound for the VC-3 problem is O(1.1864k+n), improving the previously best upper bound of O k2∗1.194k+n).

Such simplification ensures upper bound condition and U ¯ n ( x ) is replaced by the right side of inequality in (16) as the new upper bound on the coverage function.

The new upper bound is strictly tighter than the upper bound without secrecy constraints.

It is proved that the new upper bound is better than those in Theorems 1-3.

We now show the efficiency of the new upper bound in Theorem 3.2 by the following examples.