Sentence examples for distributed following a from inspiring English sources

The MSs are arbitrarily distributed following a uniform distribution.

In this paper, we analyze the transmission capacity for dual-hop relaying in a wireless ad hoc network in the presence of both cochannel interference and thermal noise, where interferers are spatially distributed following a Poisson distribution.

In particular, we analyze the exact outage probability for multihop AF relaying in the presence of both co-channel interference and thermal noise, where interferers are spatially distributed following a Poisson distribution.

Thus, as all transmitters (sources or relays) in each hop communicate with their assigned receivers (relays or destinations) in a random direction, all of the transmitting nodes are randomly distributed following a Poisson distribution with spatial density λ due to the random translation invariance property of PPP [24].

The frailty terms are independent and identically distributed following a gamma distribution with variance θ and, without loss of generality, a mean equal to 1.

We assume that the stochastic terms are jointly distributed following a bivariate normal distribution and therefore our model is a bivariate probit.

Because the channel coefficients undergo Rayleigh fading, the channel gain, g m, is a random variable distributed following an exponential distribution with unit-mean, given by F g m ( y ) = 1 - e - y (15).

Towards this aim, this work proposes a new hybrid and effective method that combines a local search technique specially designed for this problem (PALS) with Simulated Annealing (SA), which is further distributed following an island model.

The dynamics of many random systems are modeled by a Poisson process, where the average interval between two events is distributed following an exponential, well-characterized by its average.

Each bettor (iin {mathcal {B}}) is characterized by her individual belief (i.e. the probability) (x_{i}) that the home team wins ((1-x_{i}) is the probability that the away team wins); (x_{i}) is distributed following an absolutely continuous cdf with probability density function f and full support over (0, 1).

Specifically, we show that in both cases cascades sizes distribute following a fat-tailed distribution and that whether or not a cascade reaches system-wide proportions is mainly given by the presence of so-called hidden influentials.