A statistical mechanics description of complex molecular systems involves the determination of ensembles of conformations that represent their Boltzmann distributions. The observable properties of these systems can be then predicted by calculating averages over such ensembles. In principle, given accurate energy functions and efficient sampling methods, these ensembles can be generated by molec...

We discuss magnetic transport in the system of two adjacent hard-wall layers exposed to a homogeneous field perpendicular layer plane and coupled laterally through strip-shaped window common boundary. show that spectrum is combination absolutely continuous flat bands, latter being present only if widths are commensurate, derive their properties. also analyze one-sided geometry which barrier sep...

The shelling of crystals is concerned with counting the number of atoms on spherical shells of a given radius and a fixed centre. Its straight-forward generalization to quasicrystals, the so-called central shelling, leads to non-universal answers. As one way to cope with this situation, we consider shelling averages over all quasicrystal points. We express the averaged shelling numbers in terms...

OBJECTIVE Biomechanical effects of laterally wedged insoles are assessed by reduction in the knee adduction moment. However, the degree of reduction may vary depending on the reference frame with which it is calculated. The purpose of this study was to clarify the effect of reference frame on the reduction in the knee adduction moment by laterally wedged insoles. METHODS Twenty-nine healthy p...

Cohen and Grossberg (1983) studied an almost gradient system of ordinary differential equations with application to neural networks and used a Liapunov function, together with an invariance principle, to show that some equilibrium points attract solutions. Independently, Hopfield (1984) modeled a neural network by means of a system of ordinary differential equations which turn out to be a speci...