Recognition And Top-Down Generation Of Beta-Acyclic Database Schemes

Database schemes can be viewed as hypergraphs with individual relation schemes corresponding to the edges of a hypergraph. Under this setting, a new class of "acyclic" database schemes was recently introduced and was shown to have a claim to a number of desirable properties. However, unlike the case of ordinary undirected graphs, there are several unequivalent notions of acyclicity of hypergraphs. Of special interest among these are agr-, beta-, and gamma-, degrees of acyclicity, each characterizing an equivalence class of desirable properties for database schemes, represented as hypergraphs. In this paper, two complementary approaches to designing beta-acyclic database schemes have been presented. For the first part, a new notion called "independent cycle" is introduced. Based on this, a criterion for beta-acyclicity is developed and is shown equivalent to the existing definitions of beta-acyclicity. From this and the concept of the dual of a hypergraph, an efficient algorithm for testing beta-acyclicity is developed. As for the second part, a procedure is evolved for top-down generation of beta-acyclic schemes and its correctness is established. Finally, extensions and applications of ideas are described.

Continuum percolation with discs having a distribution of radii

It is shown that for continuum percolation with overlapping discs having a distribution of radii, the net areal density of discs at percolation threshold depends non-trivially on the distribution, and is not bounded by any finite constant. Results of a Monte Carlo simulation supporting the argument are presented.

Brownian particles in stationary and moving traps: The mean and variance of the heat distribution function

A recent theoretical model developed by Imparato et al. Phys of the experimentally measured heat and work effects produced by the thermal fluctuations of single micron-sized polystyrene beads in stationary and moving optical traps has proved to be quite successful in rationalizing the observed experimental data. The model, based on the overdamped Brownian dynamics of a particle in a harmonic potential that moves at a constant speed under a time-dependent force, is used to obtain an approximate expression for the distribution of the heat dissipated by the particle at long times. In this paper, we generalize the above model to consider particle dynamics in the presence of colored noise, without passing to the overdamped limit, as a way of modeling experimental situations in which the fluctuations of the medium exhibit long-lived temporal correlations, of the kind characteristic of polymeric solutions, for instance, or of similar viscoelastic fluids. Although we have not been able to find an expression for the heat distribution itself, we do obtain exact expressions for its mean and variance, both for the static and for the moving trap cases. These moments are valid for arbitrary times and they also hold in the inertial regime, but they reduce exactly to the results of Imparato et al. in appropriate limits. DOI: 10.1103/PhysRevE.80.011118 PACS.

Electrophilic Addition of Phenylisocyanate at gamma-CH of Thio-beta-diketonates of Some Transition Metals

The quasi-aromatic property of metal chelates of thio-beta-diketones has been studied by reacting them with phenylisocyanate, where addition takes place at the gamma-CH in a stepwise manner. Mono-thiodiketonates of Ni(II), Pd(II), cu(II) and Co(III) and the dithio-acetylacetonate of Ni(II) react with phenylisocyanate to produce mono-, di- and triphenylamido [with cobalt (III) only] substituted derivatives. In the case of tris (ethylthioacetoacetato) cobalt (III), it is found that the reaction with phenylisocyanate gives two isomers, a chocolate coloured isomer in which the phenylamido carbonyl is not coordinated while the green coloured isomer has bonding through phenylemido carbonyl oxygen. The reactions of the thiodiketonates have been compared with those of beta-diketonates and beta-ketoiminates. The reaction products have been characterised by elemental analyses, magnetic moments, and electronic, IR and 1H NMR spectral studies.

Interfacial structure and crystallographic studies of transformations in betat' and beta Cu---Zn alloys-II. martensitic formation of alpha1' plates in beta'

A TEM study of the interphase boundary structure of 9R orthorhombic alpha1' martensite formed in beta' Cu---Zn alloys shows that it consists of a single array of dislocations with Burgers vector parallel to left angle bracket110right-pointing angle beta and spaced about 3.5 nm apart. This Burgers vector lies out of the interface plane; hence the interface dislocations are glissile. Unexpectedly, though, the Burgers vectors of these dislocations are not parallel when referenced to the matrix and the martensite lattices. This finding is rationalized on published hard sphere models as a consequence of relaxation of a resultant of the Bain strain and lattice invariant shear displacements within the matrix phase.

Theoretical studies on Beta-lactam antibiotics VI: Conformational analysis and structure-activity relationships of penicillin sulfoxides and cephalosporins

Conformational energy calculations were carried out on penicillin α-and Β-sulfoxides and δ2- and δ3-cephalosporins, in order to identify the structural features governing their biological activity. Results on penicillin Β-sulfoxide indicated that in its favoured conformation, the orientation of the aminoacyl group was different from the one required for biological activity. Penicillin α sulfoxide, like penicillin sulfide, favoured two conformations of nearly equal energies, but separated by a much higher energy barrier. The reduced activity of the sulfoxides despite the nonplanarity of their lactam peptide indicated that the orientations of the aminoacyl and carboxyl groups might also govern biological activity. δ3-cephalosporins favoured two conformations of nearly equal energies, whereas δ2-cephalosporins favoured only one conformation. The lactam peptide was moderately nonplanÄr in the former, but nearly planar in the latter. The differences in the.preferred orientations of the carboxyl group between penicillins and cephalosporins were correlated with the resistance of cephalosporins to penicillinases.

Structure, energetics and diffusion properties of isomers of trimethyl benzene in beta zeolite: Uptake and Monte Carlo simulation study

A Monte Carlo study along with experimental uptake measurements of 1,2,3-trimethyl benzene, 1,2,4-trimethyl benzene and 1,3,5-trimethyl benzene (TMB) in beta zeolite is reported. The TraPPE potential has been employed for hydrocarbon interaction and harmonic potential of Demontis for modeling framework of the zeolite. Structure, energetics and dynamics of TMB in zeolite beta from Monte Carlo runs reveal interesting information about the diameter, properties of these isomers on confinement. Of the three isomers, 135TMB is supposed to have the largest diameter. It is seen TraPPE with Demontis potential predicts a restricted motion of 135TMB in the channels of zeolite beta.Experimentally, 135TMB has the highest transport diffusivity whereas MID results suggest this has the lowest self diffusivity. (C) 2009 Elsevier Inc. Ail rights reserved.

Charge distribution, dipole moments and molecular structure of some organogermanium compounds

Formal charge distributions in, and the electric dipole moments of, a few simple organogermanium compounds have been evaluated by the method of R. P. Smith et al. [J. Amer. Chem. Soc., 73(1951) 2263]. The difference between the experimental and calculated moments in the case of alkylhalogermanes is explained in terms of the pπ—dπ back bonding effect outweighing the electron releasing effect. In unsaturated compounds, the differences are attributed to possible mesmeric effects involving the expansion of the germanium valence shell.

Facile Synthesis of beta-Amino Disulfides, Cystines, and Their Direct Incorporation into Peptides

Herein, we report a simple and efficient methodology for the synthesis of beta-amino disulfides by regioselective ring opening of sulfamidates with benzyltriethylammonium tetrathiomolybdate [BnNEt3](2)MoS4. Stability and reactivity of different protecting groups under the reaction conditions have been discussed. This methodology has also been extended to serine and threonine derived sulfamidates to furnish cystine and 3,3'-dimethyl cystine derivatives.

Effect of beta-n-oxalyl-L-alpha, beta-diaminopropionic acid on glutamate uptake by synaptosomes

THE unusual amino acid beta-N-oxalyl-L-alpha, beta-diaminopropionic acid (ODAP), isolated from the seeds of Lathyrus sativus is a potent neurotoxin1−3. It produces biochemical changes in the brain typical of an excitant amino acid and is implicated in the aetiology of human neurolathyrism caused by eating the seeds of L. sativus 4−6. It may act as a glutamate antagonist: ODAP inhibits glutamate oxidation7 possibly by inhibiting glutamate uptake in bovine brain mitochondria; it also acts as a competitive inhibitor of glutamate uptake in certain strains of yeast8, and a similar process might occur at the synaptic level. Any effect of ODAP on glutamate uptake at synapses is significant in view of the neurotransmitter function of glutamate, which seems to be neuroexcitory as well as neurotoxic9−12. But Balcar and Johnston13 have shown with rat brain slices that ODAP does not inhibit the glutamate uptake by the high affinity system.

Velocity Distribution in Smooth Rectangular Open Channels-Closure

Abstract is not available.