Steady-state thermal stresses in an infinite elastic medium containing an annular crack

An axisymmetric steady-state thermoelastic problem of an infinite isotropic medium containing an annular crack is considered. The faces of the crack are exposed to prescribed temperature distribution. The normal components of stress and displacement on the crack plane and the stress-intensity factors at the boundaries of the crack are expressed in power series in terms of the ratio between the radii of the inner and outer boundaries. These are illustrated graphically.     

The nuclear response function and dissipation in the Fermi-Gas model

The nuclear response function of a nucleus has been computed in the Fermi Gas model when another nucleus collides with it. A simple relation has been derived for the frictional co-efficient for the later stages of the nucleus-nucleus collision. The results agree quite well with phenomenology and microscopic derivations of the frictional co-efficient.     

On the Power Function of the Likelihood Ratio Test for MANOVA

We prove that the power function of the likelihood ratio test for MANOVA attains its minimum when the rank of the location parameter matrix Θ decreases from s to 1. This provides a theoretical justification of a result that is known in the literature based only on numerical studies.     

Separation and complete analyses of the overlapped and unresolved 1H NMR spectra of enantiomers by spin selected correlation experiments

NMR spectroscopic discrimination of optical enantiomers is most often carried out using (2)H and (13)C spectra of chiral molecules aligned in a chiral liquid crystalline solvent. The use of proton NMR for such a purpose is severely hindered due to the spectral complexity and the significant loss of resolution arising from numerous short- and long-distance couplings and the indistinguishable overlap of spectra from both R and S enantiomers. The determination of all the spectral parameters by the analyses of such intricate NMR spectra poses challenges, such as, unraveling of the resonances for each enantiomer, spectral resolution, and simplification of the multiplet pattern. The present study exploits the spin state selection achieved by the two-dimensional (1)H NMR correlation of selectively excited isolated coupled spins (Soft-COSY) of the molecules to overcome these problems. The experiment provides the relative signs and magnitudes of all of the proton-proton couplings, which are otherwise not possible to determine from the broad and featureless one-dimensional (1)H spectra. The utilization of the method for quantification of enantiomeric excess has been demonstrated. The studies on different chiral molecules, each having a chiral center, whose spectral complexity increases with the increasing number of interacting spins, and the advantages and limitations of the method over SERF and DQ-SERF experiments have been reported in this work.     

Determination of Drospirenone in Human Plasma by LC–Tandem-MS

A bioanalytical method has been developed and validated for determination of drospirenone in human plasma. The analytical method consists in the extraction of plasma sample with dichloromethane, followed by determination of drospirenone by LC–MS–MS using levonorgestrel as internal standard. Separation was achieved on a Peerless cyano column with an isocratic mobile phase consisting of methanol and ammonium formate buffer. Protonated ions formed by a Turboionspray in the positive mode were used to detect analyte and IS. The MS–MS detection was by monitoring the fragmentation for drospirenone and for levonorgestrel on a triple quadrupole mass spectrometer. The assay was calibrated over the range 5–100 ng mL^?1 with a correlation coefficient of 0.9998. Validation data showed intra-batch (n = 6) CV% ≤ 5.58 and RE (%) between ?3.34 and +6.27 and inter-batch (n = 18) CV% < 6.08 and RE (%) between ?1.84 and +6.73. Mean extraction recovery were 83.31–92.58% for three QC samples and 89.32% for IS. Plasma samples were stable for three freeze-thaw cycles, or 24 h ambient storage, or 1 and 3 months storage at ?20 °C. Processed samples (ready for injection) were stable up to 72 h at autosampler (4 °C). This method has been used for analyzing plasma samples from a bioequivalence study with 12 volunteers.     

A cross-metathesis route to the 5-F(2)-isoprostanes

A library of eight 5-F(2)-isoprostanes was prepared through a ring-opening metathesis/cross-metathesis protocol between functionalized bicyclo[3.2.0]heptenes, ethylene, and alpha,beta-unsaturated ketones. This sequence provided racemic enones in a regio- and stereoselective fashion that could be converted to enantiomerically enriched allylic alcohols through a catalyst-controlled asymmetric reduction. Completion of the sidechains, followed by global deprotection, resulted in a stereodivergent route to eight enantiomerically enriched 5-F(2)-isoprostanes. Overall, the synthesis of this library of known and anticipated lipid oxidation metabolites was achieved in 10 steps from commercially available 4-hydroxy-2-cyclopentenone.     

13C-1H HSQC experiment of probe molecules aligned in thermotropic liquid crystals: sensitivity and resolution enhancement in the indirect dimension

The spectra of molecules oriented in liquid crystalline media are dominated by partially averaged dipolar couplings. In the 13C-1H HSQC, due to the inefficient hetero-nuclear dipolar decoupling in the indirect dimension, normally carried out by using a pi pulse, there is a considerable loss of resolution. Furthermore, in such strongly orienting media the 1H-1H and 13C-1H dipolar couplings leads to fast dephasing of transverse magnetization causing inefficient polarization transfer and hence the loss of sensitivity in the indirect dimension. In this study we have carried out 13C-1H HSQC experiment with efficient polarization transfer from 1H to 13C for molecules aligned in liquid crystalline media. The homonuclear dipolar decoupling using FFLG during the INEPT transfer delays and also during evolution period combined with the pi pulse heteronuclear decoupling in the t1 period has been applied. The studies showed a significant reduction in partially averaged dipolar couplings and thereby enhancement in the resolution and sensitivity in the indirect dimension. This has been demonstrated on pyridazine and pyrimidine oriented in the liquid crystal. The two closely resonating carbons in pyrimidine are better resolved in the present study compared to the earlier work [H.S. Vinay Deepak, Anu Joy, N. Suryaprakash, Determination of natural abundance 15N-1H and 13C-1H dipolar couplings of molecules in a strongly orienting media using two-dimensional inverse experiments, Magn. Reson. Chem. 44 (2006) 553-565].     

Selecting informative rules with parallel genetic algorithm in classification problem

The classification system is very important for making decision and it has been attracted much attention of many researchers. Usually, the traditional classifiers are either domain specific or produce unsatisfactory results over classification problems with larger size and imbalanced data. Hence, genetic algorithms (GA) are recently being combined with traditional classifiers to find useful knowledge for making decision. Although, the main concerns of such GA-based system are the coverage of less search space and increase of computational cost with the growth of population. In this paper, a rule-based knowledge discovery model, combining C4.5 (a Decision Tree based rule inductive algorithm) and a new parallel genetic algorithm based on the idea of massive parallelism, is introduced. The prime goal of the model is to produce a compact set of informative rules from any kind of classification problem. More specifically, the proposed model receives a base method C4.5 to generate rules which are then refined by our proposed parallel GA. The strength of the developed system has been compared with pure C4.5 as well as the hybrid system (C4.5 + sequential genetic algorithm) on six real world benchmark data sets collected from UCI (University of California at Irvine) machine learning repository. Experiments on data sets validate the effectiveness of the new model. The presented results especially indicate that the model is powerful for volumetric data set.     

Large-scale synthesis of all stereoisomers of a 2,3-unsaturated C-glycoside scaffold

All stereoisomers of a highly functionalized 2,3-unsaturated C-glycoside can be accessed in 10-100 g quantities from readily available starting materials and reagents in 3-7 steps. These chiral scaffolds contain three stereogenic centers along with orthogonally protected functional groups for downstream reactivity.