Consider an N-Boson system interacting via a two-body repulsive short-range potential V in a three dimensional box Λ of side length L. We take the limit N,L → ∞ while keeping the density ρ = N/L fixed and small. We prove a new lower bound for its ground state energy per particle E(N,Λ) N ≥ 4πaρ[1− O(ρ| log ρ|)], as ρ → 0, where a is the scattering length of V .

We solve an open problem concerning the relaxation time (inverse spectral gap) of the zero range process in Z/LZ with constant rate, proving an upper bound of O((ρ + 1)L), where ρ is the density of particles.

In this paper we discuss the representation of the joint probability density function of perfectly correlated continuous random variables, i.e., with correlation coefficients ρ=±1, by Dirac’s δ-function. We also show how this representation allows to define Dirac’s δ-function as the ratio between bivariate distributions and the marginal distribution in the limit ρ → ±1, whenever this limit exis...

conclusions although differences between the two products were very close to each other, they reported similar effects on joint bleeds. further clinical studies should be performed by incorporating a standardized measurement in comparative efficacy of apcc and rfviia. results the mean of bleeding reduction in apcc and rfviia were 71.2% with ci 95% (lower limit 86.8% and upper limit 82%) and 72....

although some 3d slope stability algorithms have been proposed in recent three decades, still role of pore pressures in three dimensional slope stability analyses and considering the effects of pore water pressure in 3d slope stability studies needs to be investigated. in this paper, a limit analysis formulation for investigation of role of the pore water pressure in three dimensional slope sta...

introduction vit d level is low in human milk (20-60 iu/lit) thus dialy supplement of 400 vit d is advised since birth for all infants. on the other hand upper limit dose for long term vit d intake is 1000 iu/day for children less than one year of age. excessive vit d more than upper limit by physicians or parents can cause hypervitaminosed. we report a rare case of hypervitaminose d in two mon...