Sentence examples for depending on the realization from inspiring English sources

The overall noise in the signal received from the relay has a variance depending on the realization of the relay-destination channel, and the overall channel gain is the product of the source-relay and relay-destination channel gains.

Then, depending on the realization of the uncertain parameters during Hour 1, the power producer has to decide whether or not to exercise the option at the beginning of the second hour.

We analyze optimal trading mechanisms in an exchange economy where each trader owns some units of a good to be traded and may be either a seller or a buyer, depending on the realization of the privately observed valuations.

Depending on the realization of (x), the tax base is either reduced by the interest payment (D_{c}(x -lambda >0), if (x -lambdait}(x)>0ambda ), or ifcreased by the default gains (D_{c}(x-T_{rmda <0), if (x-T_{rm cit}(x)

As in [7], the correlation is expressed by an additive input-dependent noise model, W = Y + N, where the correlation noise N ~ ℒ 0, σ y)) is zero-mean Laplacian with standard-deviation σ y), which varies depending on the realization y of the input of the channel, i.e., the side information, namely [7], f N Y n y = 1 σ y 2 e - 2 n σ y (5).

First, the orientations of the critical slip curves are primarily controlled by mechanics, rather than spatial variation, but the vertical positions are fairly random, depending on the realizations of the random fields.

Thus, economic benefits of one investment would depend on the realization of other investments.

However, the models in the present paper are designed such that the single spike trains have a prescribed time-dependent firing rate, which still depends on the realization of the signal s and the individual noise η.

end{aligned} (10 By contrast, the corporation's interest payment depends on the realization of (x), as outlined in Fig. 1.

Exercising the option depends on the realization of the stochastic processes during Hour 1, i.e., the pool price and the unit availability.

However, the error given in (19) is a function of the random variables τ ̂ ML, γ ̂ ML, ρ ( τ ̂ ML ), ρ ̇ ( τ ̂ ML ), and ρ ̈ ( τ ̂ ML ), which in turn, depend on the realization of the noise process n(t).