Sentence examples for ultimately bounds from inspiring English sources

In [23] and [24], the relative entropy (or the Kullback-Leibler divergence [20]) has been used to quantify the indistinguishability. Precisely, the relative entropy of two probability distributions gives an upper bound on the TV distance by Pinsker's inequality [54] or the refinements [55], which ultimately bounds the success probability of the indistinguishability experiment by (2).

Then the nonlinear dynamical system (3.1), (3.2) is ultimately bounded with respect to uniformly in with ultimate bound where.

So is uniformly ultimately bounded.

So V t) is uniformly ultimately bounded.

System (SM) is stochastically ultimately bounded.

The system (2.1) is ultimately bounded.

Then system (1.3) is stochastically ultimately bounded.

With disturbance, it becomes finite time ultimately bounded.

Under Assumption  A1, system (1.3) is stochastically ultimately bounded.

It means that V ( t ) is uniformly ultimately bounded.

Therefore, we see that F is ultimately bounded.