As a consequence D x is an exact lowering operator in these bases { ϑ n ( x ( s ) ) } where k n ( c i, c i + 1, c i + 2 ), i = 1 or i = 4, are constants with respect to s and they depend on the lattice type.
Figure 3 depicts a comparison among the proposed PEP approximations (namely Upper Bound, Chernoff Bound, Exact, Lower Bound A and Lower Bound B) for κ-μ channels.
But many hospitals have banded together into large purchasing organizations with the power to exact lower prices.
Our method provides exact lower and upper bounds on the top event probability by using new properties of the intrinsic order relation between binary strings.
The paper establishes exact lower bound on the effective elastic energy of two-dimensional, three-material composite subjected to the homogeneous, anisotropic stress.
Firstly, with the help of the optimization theory, we presented an exact solution the vertex solution theorem, for determining the exact upper bounds or maximum values and exact lower bounds or minimum values of complex eigenvalues of structures, where the extreme values are reached on the boundary of the interval mass, damping and stiffness matrices.
Simultaneously, the exact lower bounds of the achievable rates with limited feedback for ZF-DPC are not given in [27].
Zhou and Zhong [29]) modeled to minimize total train travel time with three techniques to reduce the search space; i) Lagrangian lower bound estimate, ii) exact lower bound based on remaining conflicts in the partial schedule and, iii) Upper bound using beam search heuristic.
Under the assumption that the birth rate is a time-periodic function and the death rate is a time-independent function, we obtain an exact upper and lower bound for the number of newborns and the total population.
