As was suggested twenty years ago, double-vortex condensation can drive a superconductor into fractionalized insulator with \ensuremath{\mathbb{Z}}${}_{2}$ topological order. With the advent of symmetry-protected phases, authors explore here effect strong correlation in weak superconductor, showing that gives rise to translation symmetry-enriched This $t\phantom{\rule{0}{0ex}}o\phantom{\rule{0}...

The structures of enantiopure S,S-1,2-dicyclohexylethane-1,2-diol and its racemic compound (rac-S,S-1,2-dicyclohexylethane-1,2-diol) have been determined at 295 and 173 K. The crystals of the enantiopure material are more than 4% denser than the crystals of the racemic compound, but the melting points indicate that the crystals of the less dense racemic compound are considerably more stable tha...

An elementary introduction to lattices integration lattices and lattice rules is fol lowed by a description of the role of the dual lattice in assessing the trigonometric degree of a lattice rule The connection with the classical lattice packing problem is estab lished Any s dimensional cubature rule can be associated with an index s s N where is the enhanced degree of the rule andN its absciss...

Angle-dispersive x-ray powder diffraction experiments have been performed on praseodymium metal compressed in a soft pressure-transmitting medium at ambient temperature up to 185 GPa. We observe the previously reported high-pressure structural transition sequence 20 GPa and coexistence of body-centered orthorhombic (bco) Pr \ensuremath{\alpha}-U from $\ensuremath{\sim}20$ $\ensuremath{\sim}38\p...

Higher order nets were introduced by Dick as a generalisation of classical (t,m, s)nets, which are point sets frequently used in quasi-Monte Carlo integration algorithms. Essential tools in finding such point sets of high quality are propagation rules, which make it possible to generate new higher order nets from existing higher order nets and even classical (t,m, s)-nets. Such propagation rule...