Tunnelling Two-Level Systems (TLS) dominate the physics of glasses at low temperatures. Yet TLS are extremely rare and it is difficult to directly observe them $\it{in \, silico}$. It thus crucial develop simple structural predictors that can provide markers for determining if a present in given glass region. has been speculated Quasi-Localized vibrational Modes (QLM) closely related TLS, one e...

background spinal anesthesia is an important and commonly used method for surgical anesthetic in operating rooms. however, even with identical drug dosage and administration mode, the extent of drug distribution in vivo is highly variable and difficult to control. preanesthetic administration of fluids immediately before spinal anesthesia (preload) is normal practice. the choice of fluid type m...

in this paper a first step in classifying the fuzzy normalsubgroups of a finite group is made. explicit formulas for thenumber of distinct fuzzy normal subgroups are obtained in theparticular cases of symmetric groups and dihedral groups.