The construction of importance sampled diffusion Monte Carlo (DMC) schemes accurate to second order in the time step is discussed. A central aspect in obtaining efficient second order schemes is the numerical solution of the stochastic differential equation (SDE) associated with the Fokker-Plank equation responsible for the importance sampling procedure. In this work, stochastic predictor-corre...

The Einstein equation of the general relativity (1) postulates a balance between the spacetime curvature and the energy-momemtum. Initially, Einstein introduced the cosmological constant (CC) Λ into the equation to make the steady state cosmology. When the expansion of the Universe was discovered, Einstein dismissed CC as his greatest blunder. Recent observations of the type Ia supernovae [1,2]...

In this paper, a new type of steel-concrete composite member, concrete-filled core steel tube with outer angle steel plank reinforced concrete stub column, is proposed and a series of nonlinear 3D(three-dimensional) full-range numerical calculations under axial compression are carried out, some important factors are analyzed, such as the strength of the concrete, the steel tube and the angle st...

In [BL] in relation to the unsolved Bang’s plank problem (1951) we obtained a lower bound for the sum of relevant measures of cylinders covering a given d-dimensional convex body. In this paper we provide the packing counterpart of these estimates. We also extend bounds to the case of r-fold covering and packing and show a packing analog of Falconer’s results ([Fa]).

This is a revised variant of my preprint: Max-Plank Institut fuer Mathematik, Bonn, 2001, No 16. Foreword This is the first part of the detailed version of my work “On linear forms with coefficients in Nζ(1 + N),” [11]. The goal of this work is to give a complete proof of the following theorem. Theorem. Let

1New York State Museum, Albany, NY, USA 2Smithsonian Tropical Research Institute, Balboa, Panama 3California Institute for Telecommunications and Information Technology (Calit2), University of California, San Diego, CA, USA 4Max Plank Institute for Ornithology, Radolfzell, Germany 5E-Obs, Gruenwald, Germany 6Princeton University, Princeton, NJ, USA 7University of Illinois, Urbana, IL, USA 8Fros...

ion channels are naturally occurring pores through the proteins that regulate the passage of ions and thus maintain the concentration of ions inside and outside the cell. the ion channels control many physiological functions and they can show selectivity for a specific ion. ion channels are mostly observed in nerve cells and muscle cells. the influx of ions into cells can be regulated by a gate...