In [6], we proved an asymptotic O(n−α/(α+1)) bound for the approximation of SU(N) loops (N ≥ 2) with Lipschitz smoothness α > 1/2 by polynomial loops of degree ≤ n. The proof combined factorizations of SU(N) loops into products of constant SU(N) matrices and loops of the form eA(t) where A(t) are essentially su(2) loops preserving the Lipschitz smoothness, and the careful estimation of errors i...

Measurements of the splitting or birefringence of seismic shear waves that have passed through the Earth’s mantle yield constraints on the strength and geometry of elastic anisotropy in various regions, including the upper mantle, the transition zone, and the D00 layer. In turn, information about the occurrence and character of seismic anisotropy allows us to make inferences about the style and...

The weakness of democratic institutions represents the core problem faced by processes of democratic consolidation. The present paper, which confines its attention exclusively to party systems, starts by diagnosing a double deficit. First, the concept of institutional ‘underdevelopment’ appears to be somewhat underdeveloped itself. It requires further clarification and elaboration. Second, the ...

GENERAL METHODS S4 SYNTHESIS OF SUBSTRATES S4-S6 Synthesis of (Z)and (E)-1-cyclohexyl-1,3-butadiene (8) Typical procedure for the synthesis of (Z)and (E)-1,3-dienes (Z)and (E)-1-Benzylbuta-1,3-diene (18) (Z)and (E)-1-(2-Furyl)-1,3-butadiene (21) (Z)and (E)-1-(4-Butyl-1-cyclohexyl)-1,3-butadiene (22) SYNTHESIS OF COBALT COMPLEXES S7 CHEMOSELECTIVE ASYMMETRIC HYDROVINYLATIONS S7 Asymmetric hydrov...

Research has shown that sustained homework effort enhances academic performance and that students’ conscientiousness is a powerful predictor of students’ homework effort. But does homework—as homework proponents claim—in turn also influence the development of conscientiousness over time? In the present study, we examined whether students’ homework effort in two subjects (i.e., mathematics and l...

We propose a new index structure, called the HG-tree, to support content-based retrieval in multimedia databases. Our goals are twofold: increasing the storage utilization and decreasing the directory coverage of the index tree. The first goal is achieved by absorbing splitting if possible, and when splitting is n8ecessary, converting two nodes to three. This is done by proposing a good orderin...

The formation of oriented thermokarst lakes on the Arctic Coastal Plain of northern Alaska has been the subject of debate for more than half a century. The striking elongation of the lakes perpendicular to the prevailing wind direction has led to the development of a preferred wind-generated gyre hypothesis, while other hypotheses include a combination of sun angle, topographic aspect, and/or a...

In the title crystal structure, [Cd(NCS)(NO(3))(C(11)H(9)N(5))](n), the unique Cd(II) ion is coordinated in a distorted penta-gonal-bipyramidal environment. The axial thio-cyanate ligands act in a μ(1,3)-bridging mode to connect symmetry-related Cd(II) ions into one-dimensional chains along [010]. In addition, there are inter-molecular C-H⋯O contacts between chains.

The complete sets of solutions of the equation (n k ) = (m ` ) are determined for the cases (k, `) = (2, 3), (2, 4), (2, 6), (2, 8), (3, 4), (3, 6), (4, 6), (4, 8). In each of these cases the equation is reduced to an elliptic equation, which is solved by using linear forms in elliptic logarithms. In all but one case this is more or less routine, but in the remaining case ((k, `) = (3, 6)) we h...

Let M be a closed orientable 3-manifold of Heegaard genus two with a non-trivial JSJ-decomposition and G be a finite group of orientation-preserving smooth actions on M which preserves each handlebody of Heegaard splitting and each piece of the JSJ-decomposition of M . We will call some specific conditions of the Heegaard splitting and the JSJ-tori the condition A, . . . , and the condition F. ...