Novel 3‐(2‐Oxo‐2H‐benzo[b][1,4]oxazin‐3‐yl)propanoates from Dimethyl‐2‐oxoglutarate and Test of Their Biological Activity

Five novel 3‐(2‐oxo‐2H‐benzo[b][1,4]oxazin‐3‐yl)propanoates were synthesized under mild conditions from 2‐aminophenols and dimethyl‐2‐oxoglutarate. Biological assays of these 1,4‐benzoxazinones were conducted with three bacterial strains and one yeast. All compounds were active against a Candida albicans ATCC 10231, whereas only methyl 3‐(6‐methyl‐2‐oxo‐2H‐benzo[b][1,4]oxazin‐3‐yl)propanoate showed a general moderate activity against the bacterial strains tested.     

Triangulable locally nilpotent derivations in dimension three

In this paper we give an algorithm to recognize triangulable locally nilpotent derivations in dimension three. In case the given derivation is triangulable, our method produces a coordinate system in which it exhibits a triangular form.     

Theoretical study of ground state and high-pressure phase of platinum carbide

We report local density-functional calculations using the full-potential linearized muffin-tin orbital method (FP-LMTO) for platinum carbide (PtC) in the, rock-salt (B1), zinc-blende (B3), wurtzite (B4), nickel-arsenide (B8) and PbO (B10) structures. The ground state properties such as the equilibrium lattice constant, elastic constants, the bulk modulus and its pressure derivative of PtC in these phases are determined and compared with available experimental and theoretical data.Our calculations show that the ground state phase of PtC to be zinc-blende (B3) structure at zero pressure and the nickel-arsenide (B8) structure is a high-pressure phase. The transition pressures at which this compound undergoes the structural phase transition from (B3) to (B8) and from (B3) to (B1) are found to be 34.25 and 51.28 GPa, respectively. The highest bulk modulus values in the nickel-arsenide (B8), zinc-blende (B3), rock-salt (B1) and PbO (B10) structures indicate that PtC is a hard material.     

Approximation polynomiale des jets de Whitney ∂‾-plats de classe M

We study the problem of global approximation by polynomials in Whitney $\stackrel{￣}{?}$-flat jet classes on irregular compacts of ${\mathbb{C}}^N$.     

Fluctuations in a SIS epidemic model with variable size population

In an epidemiological model, time spent in one compartment is often modeled by a delay in the model. In general the presence of delay in differential equations can change the stability of an equilibrium to instability and causes the appearance of oscillatory solutions.In this paper we consider a SIS epidemiological model with demographic effects: birth, mortality and mortality caused by infection. The delay is the period of infection. We define the concept of oscillation in the sense that solutions of the model studied fluctuate around a steady state. Our goal is to show that in this model, there are oscillating solutions for certain parameters values. We determine a large set of initial data for which solutions of this model are slowly oscillating.     

Three Nematogen Azobenzene-Based Stationary Phases for Capillary GC: Synthesis and Comparative Study

In this paper, three laterally substituted liquid crystals termed LCC₁, LCC₃ and LCC₄ were synthesized. Characterization of these substances was carried out by ¹H NMR and ¹³C NMR; they possess similar core and differ in their lateral substituents. Their thermal stability was conducted by thermogravimetric analysis and showed decomposition beginning at 212, 233 and 264 °C related to LCC₁, LCC₃ and LCC₄, respectively. Thermal properties were determined by differential scanning calorimetry, thermomicroscopy and inverse gas chromatography. The three novel compounds exhibited a nematic mesophase at a defined range of temperatures, which varied from 81 to 55 °C. Lengthening of the lateral substituent seemed to affect the nematic range by decreasing it. Fused-silica capillary columns (30 m × 0.32 mm) were employed for the analytical study. Numerous mixtures of components of various properties were injected. Particular attention was given to the selectivity towards the close-boiling isomers. These investigations indicated that lateral attached groups had considerable effect on the thermal and chromatographic properties of the liquid crystal compounds. These interesting results may guide in improving the development of new type of liquid crystals with desired properties for a widespread application.