We propose a generic mechanism for the formation of narrow rings in rotating systems. For this purpose we use a system of discs rotating about a common center lying well outside the discs. A discussion of this system shows that narrow rings occur, if we assume noninteracting particles. A saddle-center bifurcation is responsible for the relevant appearance of elliptic regions in phase space, tha...

Recently, two different entropy measures based on the relational structure of English compounds have been used in studies of semantic transparency and lexical decision times. Pham & Baayen (2013) show that the entropy of semantic relations in the modifier family is negatively correlated with semantic transparency. Schmidtke et al. (2015) find that the relational entropy for individual compounds...

We address the occurrence of narrow planetary rings and some of their structural properties, in particular when the rings are shepherded. We consider the problem as Hamiltonian scattering of a large number of non-interacting massless point particles in an effective potential. Using the existence of stable motion in scattering regions in this set up, we describe a mechanism in phase space for th...

Here we try to distinguish and compare different notions of real closedness mainly one developed by N. Schwartz in his Habilitationschrift and the other developed by A. Sankaran and K. Varadarajan in [SV] which we shall call real closed *. We stick to the definition of real closed rings as defined and characterized in [RCR] and we try to determine and characterize real closed rings that are rea...

In the title compound, C(32)H(37)NO(8), the central pyran ring adopts a twist-boat conformation and the 1,3-dioxoane rings adopt envelope conformations. The acenaphthyl-enone unit and two C atoms of a pyrrolidine ring are disordered over two sets of sites [occupancy ratio 0.669 (7):0.331 (7)]. The major fraction of the disordered pyrrolidine ring exhibits an envelope conformation while the mino...

In rotating scattering systems, the generic saddle-center scenario leads to stable islands in phase space. Non-interacting particles whose initial conditions are defined in such islands will be trapped and form rotating rings. This result is generic and also holds for systems quite different from planetary rings.

In the title compound, C(7)H(5)ClO(2)·C(9)H(7)N, the 4-chloro-benzoic acid mol-ecule is almost planar, with a dihedral angle of 2.9 (14)° between the carb-oxy group and the benzene ring. In the crystal, the two components are connected by an O-H⋯N hydrogen bond. In the hydrogen-bonded unit, the dihedral angle between the quinoline ring system and the benzene ring of the benzoic acid is 44.75 (4...

Recent work on designs of dipoles, quadrupoles and sextupoles for the NLC Main Damping Ring has led to estimates of the systematic multipole components in the fields of these magnets. We report on studies of the effects of these multipoles on the dynamic aperture of the damping ring, and show that the systematic multipole components in the present magnet designs are unlikely to be a severe limi...

The first two papers of this series1 were primarily concerned with a closure operation on the lattice of right ideals of a ring and the resulting direct-sum representation of the ring in case the closure operation was atomic. These results generalize the classical structure theory of semisimple rings. The present paper studies the irreducible components encountered in the direct-sum representat...

The main goal of using dual core spun yarn is to take advantage all properties its different components. Dual-core yarns comprising three components are currently in vogue. They combine the pleasant wear elastic with high dimensional stability. production these a challenging process even at spinning stage, but they making demands market. Such stretchable produced modified Ring frame. In this sy...