[1] We use four-year time series of precipitable water (PW) and zenith neutral delay (ZND) derived from a GPS network in Hawaii to show that the statistical distributions of these quantities are closely approximated by the lognormal distribution. The long term average and median values of precipitable water decline exponentially with height, or very nearly so. The arithmetic standard deviation ...

AbstracfThe probability of co-channel interference (PCI) due to multiple correlated log-normal signals is calculated for cellular radio systems operating in Rayleigh fading and lognormal shadowing environment. The effects on the PCI of the correlation between the signals, the standard deviation due to shadowing, the number of interferers, the co-channel protection ratio, and the traffic load is...

We compute the decay of the velocity autocorrelation function, the Lyapunov exponent and the diffusion constant for the Sinai billiard within the framework of dynamical zeta functions. The asymptotic decay of the velocity autocorrelation function is found to be C(t) ∼ c(R)/t. The Lyapunov exponent for the corresponding map agrees with the conjectured limit λmap → −2 log(R) + C as R → 0 where C ...

Massive stars play key roles in many astrophysical processes. Deriving atmospheric parameters of massive is important to understand their physical properties and thus are inputs trace evolution. Here we report our work on adopting the data-driven technique Stellar LAbel Machine ({\tt SLAM}) with non-LTE TLUSTY synthetic spectra as training dataset estimate stellar LAMOST optical for early-type ...

The transport of bacterial strain DA001 was examined in packed quartz sand under a variety of environmentally relevant ionic strength and flow conditions. Under all conditions, the retained bacterial concentrations decreased with distance from the column inlet at a rate that was faster than loglinear, indicating that the deposition rate coefficient decreased with increasing transport distance. ...

The single particle phase function and the linear polarization for large stochastically deformed spheres have been calculated by Monte Carlo simulation using the geometrical optics approximation. The radius vector of a particle is assumed to obey a bivariate lognormal distribution with three free parameters: mean radius, its standard deviation and the coherence length of the autocorrelation f...

A = constant b = vortex spacing C = constant to adjust turbulent spreading q = rms turbulence velocity R = mean radius T = parameter for vortex age t = time u = axial velocity v = lateral velocity w = descent speed y = spanwise coordinate, positive for port vortex z = vertical coordinate, positive pointing upwards = circulation = eddy dissipation rate = standard deviation = (effective) kinemati...

Abstract. Fix a number field K. For each nonzero α ∈ ZK , let ν(α) denote the number of distinct, nonassociate irreducible divisors of α. We show that ν(α) is normally distributed with mean proportional to (log log |N(α)|)D and standard deviation proportional to (log log |N(α)|)D−1/2. Here D, as well as the constants of proportionality, depend only on the class group of K. For example, for each...