We study the problem of Bose condensation at zero temperature and weak coupling for a three dimensional system of bosons, interacting with a repulsive short range potential, in the Bogoliubov approximation. We prove that the properties of the model can be explained in terms of an anomalous asymptotically free renormalization group ow and we show that the two-point correlation function has the t...

We describe and present a new construction method for codes using encodings from group rings. They consist primarily of two types: zero-divisor and unit-derived codes. Previous codes from group rings focused on ideals; for example cyclic codes are ideals in the group ring over a cyclic group. The fresh focus is on the encodings themselves, which only under very limited conditions result in idea...

We demonstrate that a holey photonic-crystal fiber with chalcogenide-glass index contrast can be designed to have a complete gap at a propagation constant beta = 0 that also extends into the non-zero beta region. This type of bandgap (previously identified only at index contrasts unattainable in glasses) opens up a regime for guiding zero-group-velocity modes not possible in holey fibers with t...

background: recent studies have demonstrated the high prevalence of vitamin d deficiency in the general population. pregnancy and preterm delivery are known as risk factors for vitamin d deficiency. consequently, vitamin d level in women with preterm deliveries might vary from those with term pregnancies. in this study, we aimed to compare vitamin d level in term and preterm infant–mother pairs...

Mass-action kinetics is frequently used in systems biology to model the behavior of interacting chemical species. Many important dynamical properties are known to hold for such systems if their underlying networks are weakly reversible and have a low deficiency. In particular, the Deficiency Zero and Deficiency One Theorems guarantee strong regularity with regards to the number and stability of...

conclusions: we determined a significant higher frequency of protein s deficiency in patients with rpl compared with controls. but the frequency of protein c deficiency and the frequency of two common thrombophilic mutations (factor v leiden and prothrombin g20210a), were not significantly different between patients with recurrent miscarriage and healthy women. results: the mean functional acti...

This research will investigate the problem on the propagation of electromagnetic wave through a specific nanomaterial. The nanomaterial analyzed is a material consisting of a field of Pt nanorods. This field of Pt nanorods are deposited on a substrate which consists of a RuO2 nano structure. When the nanorod is exposed to an electron beam emitted by a TEM (Transmission electron microscopy). A w...