Semidefinite optimization in discrepancy theory

Recently, there have been several new developments in discrepancy theory based on connections to semidefinite programming. This connection has been useful in several ways. It gives efficient polynomial time algorithms for several problems for which only non-constructive results were previously known. It also leads to several new structural results in discrepancy itself, such as tightness of the so-called determinant lower bound, improved bounds on the discrepancy of the union of set systems and so on. We will give a brief survey of these results, focussing on the main ideas and the techniques involved.     

NEMATICIDAL,INSECTICIDAL, ANTIFERTILITY,ANTIFUNGAL AND ANTIBACTERIAL ACTIVITIES OF SALICYLANILIDE SULPHATHIAZOLE AND ITS MANGANESE,SILICON AND TIN COMPLEXES

A facile synthesis and studies on the stereochemistry and biochemical aspects of some organosilicon(IV), organotin(IV), and manganese(II) complexes derived from imine having N^∪N^∪O donor system is reported. The imine was prepared by the condensation of salicylanilide with sulphathiazole. This imine reacts with organosilicon(IV)chloride, organotin(IV)chloride, and hydrated manganese(II) chloride to yield compounds having M─O and M←N bonds. The structures of the compounds have been elucidated by physicochemical and spectral (IR, ¹H NMR, ¹³C NMR, ²⁹Si NMR, ¹¹⁹Sn NMR, and ESR) studies, which clearly point to a trigonal bipyramidal geometry around silicon(IV) and tin(IV), and tetrahedral geometry around manganese(II), as the active lone pair of the nitrogen is also included in the coordination sphere. In the search for better fungicides and bactericides, studies were conducted to assess the growth-inhibiting potential of the synthesized complexes against various pathogenic fungal and bacterial strains. These complexes are highly active against nematode (Meloidogyneincognita) and insect (Trogodermagranarium). The activity will be increased with increasing concentration. These studies demonstrate that the concentrations reached levels that are sufficient to inhibit and kill the pathogens. All compounds have also been found to act as sterilizing agents by reducing the production of sperm in male mice.     

Azaphospholes1,2: State and Advances

Abstract

Heterophosphole³ derive from the classical nitrogen, oxygen or/and sulfur containing five-membered 6n-heterocycles by replacing a CH unit by two-coordinate phosphorus as a member of the ring. Formally 4 8 systems seem possible this way. Of 21 of them representatives have been prepared so far⁴.     

Multi-scale k-distribution model for gas mixtures in hypersonic nonequilibrium flows

A k-distribution model is presented for gas mixtures in thermodynamic nonequilibrium, containing strongly radiating atomic species N and O together with molecular species of N₂, N₂⁺, NO and O₂. In the VUV range of the spectrum there is strong absorption of atomic radiation by bands of N₂. For this spectral range, a multi-scale model is presented, where RTEs are solved separately for each emitting species and overlap with other species is treated in an approximate way. Methodology for splitting the gas mixture into scales and evaluation of the overlap parameter between different scales is presented. The accuracy of the new model is demonstrated by solving the radiative transfer equation along the stagnation line flow field of the Crew Exploration Vehicle (CEV).     

Search for new physics with a monojet and missing transverse energy in pp collisions at √s = 7 TeV

A study of events with missing transverse energy and an energetic jet is performed using pp collision data at a center-of-mass energy of 7 TeV. The data were collected by the CMS detector at the LHC, and correspond to an integrated luminosity of 36 pb(-1). An excess of these events over standard model contributions is a signature of new physics such as large extra dimensions and unparticles. The number of observed events is in good agreement with the prediction of the standard model, and significant extension of the current limits on parameters of new physics benchmark models is achieved.     

Synthesis of thiazole clubbed pyrazole derivatives as apoptosis inducers and anti-infective agents

Fourteen N-[{(substituted-phenylthiazol-2-yl)-3-aryl-1H-pyrazol-4-yl}methylene]-5-substituted-thiazol-2-amine (5a-n) analogs were synthesized by the reaction of 3-aryl-1-(thiazol-2-yl)-1H-pyrazole-4-carbaldehyde and substituted thiazole amines. The structures of prepared compounds were delineated by elemental analysis, FT-IR and ¹H NMR spectra. These analogs were scrutinized for in vitro anti-infective and cytotoxic activities. Some thaizole clubbed pyrazole derivatives were assessed for their cytological changes in germ cells of Capra hircus by using histomorphological analysis, fluorescence assay and apoptosis quantification. Compound 5l having 4-NO₂ substituent induced the significant apoptosis in tested cells of Capra hircus. The results revealed that compounds 5c, 5e, 5k, and 5l have commendable antibacterial activity within MIC range of 62.5–250 μg/ml. Compound 5c emerged as a potent antimalarial compound by exhibiting IC₅₀ value of 0.23 μg/ml and compound 5j induced paralysis of Pherentima posthuma at 8.6 ± 1.94 min and death at 20 ± 5.04 min, respectively. Compound 5j revealed an excellent cytotoxicity at IC₅₀ value of 30.7 and < 10 μg/ml against MCF-7 and HeLa cells, respectively. Individually, compounds 5c, 5j and 5l could be considered as promising anti-infective and cytotoxic compounds.     

Anisotropy inc-axis oriented YBa2Cu3O7−δ

Muon spin relaxation (μSR) data taken at LAMPF on ac-axis oriented fine powder sample of YBa₂Cu₃O_7−δ (YBCO) embedded in epoxy are analyzed for relaxation rate anisotropy. Clear differences beyond simple magnetic field penetration depth anisotropy are observed forB‖c andB c. The low-temperature anisotropy ratio is consistent with oriented ceramic data. Small crystallite size and anisotropic flux pinning characteristics are suggested as the fundamental cause of the additional effects.     

Application of the semivariogram to MRI data: a useful approach for the characterization of natural porous rocks

Geostatistics is used to study the heterogeneities of reservoir cores, as well as to observe the orientation of layers inside the cores. This information obtained from geostatistics could be very useful for coreflood simulation programs. In this paper, it has been shown how semivariograms can be drawn using local porosities obtained from magnetic resonance imaging (MRI). These semivariograms are then used to determine the correlation lengths of the porosity in the cores and to qualitatively estimate the degree of heterogeneity in the core samples.