We consider high dimensional integration in a broad class of functions where all elements have maximum effective dimension. We show that there exists an exact cubature with only two points. Therefore, not only the convergence but also the worst case error of quasi-Monte Carlo need not depend on the effective dimension at all.

Density functional approach was used to study the isotropic- nematic (I-N) transition and calculate the values of freezing parameters of the Gay- Berne liquid crystal model. New direct and pair correlation functions of a molecular fluid with Gay- Berne pair potential were used. These new functions were used in density functional theory as input to calculate the isotropic- nematic transition den...

We describe electronic instruments for creation of effective Cooper pair spectroscopy. The suggested spectroscopy requires study electric field effects on the surface cleaved superconductors. instrument reacquires low noise amplifier with 10$^6$ amplitude amplification which we have formerly used Johnson-Nyquist and Schottky noises. nonspecific is followed by high-Q tunable resonance filter bas...

We numerically solve the nonlinear Poisson–Boltzmann equation for two cylinders confined by two parallel charged plates. The repulsive electrical double layer component of the cylinder pair potential is substantially reduced by confinement between like-charged plates. While the effective cylinder surface charge is increased by the confinement, the effective interaction screening length is reduc...