The Synthesis of Some Naphtho[2,3-b]pyran-5,10-Quinones as Preliminary Models for Biological Evaluations

Naphtho[2,3-b]pyran-5,10-quinones related to the known antibiotic, erythrostominone 5, have been synthesized and demonstrate that biological activity is a function of the pyran ring as well as substituents at C-2 and C-4.     

Bayesian analysis of pentaquark signals from CLAS data

We examine the results of two measurements by the CLAS collaboration, one of which claimed evidence for a Theta(+) pentaquark, while the other found no such evidence. The unique feature of these two experiments was that they were performed with the same experimental setup. Using a Bayesian analysis, we find that the results of the two experiments are in fact compatible with each other, but that the first measurement did not contain sufficient information to determine unambiguously the existence of a Theta(+). Further, we suggest a means by which the existence of a new candidate particle can be tested in a rigorous manner.     

Revised absolute configuration of dysidenin and isodysidenin

The absolute configuration of dysidenin and isodysidenin are revised.     

Isolation,structure determination,and biological activity of a novel alkaloid,perophoramidine, from the Philippine ascidian Perophora namei

Chemical investigation of the Philippine ascidian Perophora namei has resulted in the isolation of a novel polycyclic alkaloid, perophoramidine (1). The structure of 1 was determined by the interpretation of 1D/2D NMR and MS data. Dehalogenation of perophoramidine (1) by ammonium formate catalyzed transfer hydrogenation confirmed the type and number of halogen atoms present in 1.     

Ferrocenyl Ligands with Two Phosphanyl Substituents in the alpha,varepsilon positions for the Transition Metal Catalyzed Asymmetric Hydrogenation of Functionalized Double Bonds

The choice of the substituents at the benzylic position of diphosphane 1 allows the selection of the absolute configuration of the product that is obtained from the transition metal catalyzed enantioselective hydrogenation of various beta-dicarbonyl compounds, alpha-acetamidocinnamic acid derivatives, and dimethyl itaconate (see scheme).     

s-Representations for involutions¶on affine Kac–Moody algebras are polar

Let denote the eigenspace decomposition of a twisted affine Kac–Moody algebra with respect to an involution , where is a twisted loop algebra, is the center and d is the scaling element of . We endow with the standard bilinear symmetrical form.Then with and carries a Lorentzian signature. Let denote the group that corresponds to , then the adjoint representation of on can be restricted to and this submanifold is isometrical to the Hilbert space E _ε, where is the decomposition of the twisted loop algebra with respect to the induced involutionρ₀.We thus obtain an affine representation on E _ε and we show that this representation is polar, i. e., there exists a submanifold that intersects all orbits, and intersects them orthogonally. Received: 16 February 2000 RID=" ID="Supported by a DFG grant.     

Independent Directed Triangles in a Directed Graph

If D is a directed graph of order n≥3 with , then D contains independent directed triangles. Moreover, the condition on the minimum degree is sharp in general. Revised: April 19, 1999