Sentence examples for for any realization from inspiring English sources

Notice that the above discussion is valid for any realization of the network.

Lemma 2. For any realization of a random channel gain matrix with i.i.d.i.d

For any realization of a random channel gain matrix with statistically independent continuous entries, the probability that a unique Nash equilibrium exists in the game is equal to.

For any realization of channel matrix, there exist unique values of the Lagrange dual variables and for any Nash equilibrium of the game.

This means that for larger value of (omega), the obtained solution is approaching 'almost' feasible for any realization of scenario s through the payment of more total costs.

Objective of this new approach is to focus the computational budget over the areas of the parametric space where the minimum or the maximum of the field is likely to be for any realization of the stochastic parameters.

with strict inequality for any channel realization in (61).

For any given realization,, we may calculate the conditional distributions and.

Furthermore, for any channel realization, we show that there always exist a sequential path and a corresponding simple power allocation policy, which are optimal.

Shapiro also argues that his detailed discussion of hypothesis testing difficulties for any multiple realization hypothesis reveals a flaw in Bechtel and Mundale's (1999) influential criticism (discussed in section 2 above).

Note that u m [ − 1 ] 2 2, u m [ 0 ] 2 2, u m [ 1 ] 2 2 are positive; thus, the maximum value that |b m [ 0]|2 can reach is lower or equal than p m for any channel realization.