Twists of genus three curves over finite fields

In this article we recall how to describe the twists of a curve over a finite field and we show how to compute the number of rational points on such a twist by methods of linear algebra. We illustrate this in the case of plane quartic curves with at least 16 automorphisms. In particular we treat the twists of the Dyck–Fermat and Klein quartics. Our methods show how in special cases non-Abelian cohomology can be explicitly computed. They also show how questions which appear difficult from a function field perspective can be resolved by using the theory of the Jacobian variety.     

Paramétrisation des points algébriques de degré donné sur la courbe d'équation affine y3=x(x−1)(x−2)(x−3)

We give a parameterization of the algebraic points of given degree over $\mathbb{Q}$ on the curve$y^3=x(x?1)(x?2)(x?3)$ This result extends a previous result of E.F. Schaefer who described in Schaefer (1998) [1] the set of algebraic points of degree ?3 over $\mathbb{Q}$.     

Diterpenoids from Salvia ceratophylla

Salvia ceratophylla L. has yielded four known and two new diterpenoids together with two triterpenic acids, a steroid and a flavone. The structures of the compounds were established by spectroscopic analyses. One of the known compounds candidissiol exhibited a high antibacterial activity against Staphylococcus epidermidis and Proteus mirabilis.     

1,5-dihydroxyanthraquinones and an anthrone from roots of Rumex crispus

From the roots of Rumex crispus, two known anthraquinones and a new one together with a new anthrone were isolated and the structures of compounds 1-4 were elucidated by spectroscopic means. The singlet oxygen generation capacity was tested with 1,3-diphenylisobenzofuran (DPBF) for compounds 1-4.     

A non-selfdual automorphic representation of GL3 and a Galois representation

Oblatum 13-XI-1992 & 22-X-1993     

Cognitive map: KBDSS integration in transportation planning

This paper discusses how to use an integrated cognitive map-knowledge based decision support model to help the transportation planners in their selection of the most suitable alternative for a water crossing infrastructure. It also illustrates the evolution of this research since 1994. In this latest version, the knowledge is acquired from 19 experts on the subject and then an expert system is used to evaluate the alternatives based on their centrality, namely relative importance, shown by the aggregated cognitive map. Finally, this version of the model is applied to solve the water crossing traffic congestion of the Bosphorus at Istanbul and the validity of the results is discussed.     

High-Performance Organic Solar Cells Containing Pyrido[2,3-b]quinoxaline-Core-Based Small-Molecule Acceptors with Optimized Orbit Overlap Lengths and Molecular Packing

The central core in A-DA₁D-A-type small-molecule acceptor (SMAs) plays an important role in determining the efficiency of organic solar cells (OSCs), while the principles governing the efficient design of SMAs remain elusive. Herein, we developed a series of SMAs with pyrido[2,3-b]quinoxaline (PyQx) as new electron-deficient unit by combining with the cascade-chlorination strategy, namely Py1, Py2, Py3, Py4 and Py5. The introduction of chlorine atoms reduces the intramolecular charge transfer effects but elevates the LUMO values. Density functional theory (DFT) reveals that Py2 with ortho chlorine substituted PyQx and Py5 with two chlorine atoms yield larger dipole moments and smaller π⋅⋅⋅π stacking distances, as compared with the other three acceptors. Moreover, Py2 shows the strongest light absorption capability induced by extended orbit overlap lengths and more efficient packing structures in the dimers. These features endow the best device performance of Py2 due to the better molecular packing and aggregation behaviors, more suitable domain sizes with better exciton dissociation and charge recombination. This study highlights the significance of incorporating large dipole moments, small π⋅⋅⋅π stacking distances and extended orbit overlap lengths in dimers into the development of high-performance SMAs, providing insight into the design of efficient A-DA₁D-A-type SMAs for OSCs.     

Ferrocenyl Quinone Methide–Thiol Adducts as New Antiproliferative Agents: Synthesis,Metabolic Formation from Ferrociphenols,and Oxidative Transformation

Ferrociphenols ( FCs ) and their oxidized, electrophilic quinone methide metabolites ( FC‐QMs ) are organometallic compounds related to tamoxifen that exhibit strong antiproliferative properties. To evaluate the reactivity of FC‐QMs toward cellular nucleophiles, we studied their reaction with selected thiols. A series of new compounds resulting from the addition of these nucleophiles, the FC‐SR adducts, were thus synthesized and completely characterized. Such conjugates are formed upon metabolism of FCs by liver microsomes in the presence of NADPH and thiols. Some of the FC‐SR adducts exhibit antiproliferative properties comparable to those of their FC precursors. Under oxidizing conditions they either revert to their FC‐QM precursors or transform into new quinone methides (QMs) containing the SR moiety, FC‐SR‐QM . These results provide interesting data about the reactivity and mechanism of antiproliferative effects of FCs , and also open the way to a new series of organometallic antitumor compounds.