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. ...

We study 3-valent maps Mn(p, q) consisting of a ring of n q-gons whose the inner and outer domains are filled by p-gons, for p, q ≥ 3. We describe a domain in the space of parameters p, q, and n, for which such a map may exist. With four infinite sequences of maps prisms Mp(p ≥ 3, 4), M4(4, q ≥ 4), M4(5, 5t+2 ≥ 7), M4(5, 5t+3 ≥ 8), we give 26 sporadic ones. The maps whose p-gons form two paths ...

In this paper, we show that all the coordinate functions of the Advanced Encryption Standard (AES) round function are equivalent under an aane transformation of the input to the round function. In other words, let fi and fj be any two distinct output coordinates of the AES round function, then there exists a nonsingular matrix Aji over GF(2) such that fj(Ajix) + bji = fi(x); bji 2 GF(2). We als...

We study metrics on the shape space of curves that induce a prescribed splitting of the tangent bundle. More specifically, we consider reparametrization invariant metrics G on the space Imm(S,R) of parametrized regular curves. For many metrics the tangent space TcImm(S ,R) at each curve c splits into vertical and horizontal components (with respect to the projection onto the shape space Bi(S ,R...