Effect of optical lattice potentials on the vortices in rotating dipolar Bose-Einstein condensates

We study the interplay of dipole-dipole interaction and optical lattice (OL) potential of varying depths on the formation and dynamics of vortices in rotating dipolar Bose-Einstein condensates. By numerically solving the time-dependent quasi-two dimensional Gross-Pitaevskii equation, we analyse the consequence of dipole-dipole interaction on vortex nucleation, vortex structure, critical rotation frequency and number of vortices for a range of OL depths. Rapid creation of vortices has been observed due to supplementary symmetry breaking provided by the OL in addition to the dipolar interaction. Also the critical rotation frequency decreases with an increase in the depth of the OL. Further, at lower rotation frequencies the number of vortices increases on increasing the depth of OL while it decreases at higher rotation frequencies. This variation in the number of vortices has been confirmed by calculating the rms radius, which shrinks in deep optical lattice at higher rotation frequencies.Comment: 10 pages, 7 figure

Assessment of symphysio-fundal height (SFH) and its implication during antenatal period

Background: The aim of antenatal care is to ensure that every pregnancy is given the maximum chance to culminate in the delivery of a healthy baby without impairing the health of the mother. Symphysio fundal height (SFH) is an essential part of examination of pregnant women. In this study we discuss various formulas and USG for determining gestational age and applying them on our population.Methods: This is a prospective observational study done at the Department of Obstetrics and Gynecology, Dhiraj General Hospital from January 2012 to January 2013. Total of 1056 eligible women were enrolled for the study.Results: According to our study, gestational age calculated by Mac Donald's formula and USG based on Tokyo & Osaka charts were more near to gestational age calculated by LMP. The gestational age calculated by USG based on European charts coincided with gestational age calculated by LMP up to 32 weeks, but after 32 weeks it did not correlate with LMP.Conclusion: In our population most of deliveries occur at home and primary centers, where facility for USG is not available. Hence application of Mac Donald's formula for calculating gestational age from SFH is a better option for detection of abnormal growth.

On the Nonlinear Impulsive Ψ\Psi--Hilfer Fractional Differential Equations

In this paper, we consider the nonlinear $\Psi$-Hilfer impulsive fractional differential equation. Our main objective is to derive the formula for the solution and examine the existence and uniqueness of results. The acquired results are extended to the nonlocal $\Psi$-Hilfer impulsive fractional differential equation. We gave an applications to the outcomes we procured. Further, examples are provided in support of the results we got.Comment: 2

Development of Corrugated Fiber Board Cartons for Long Distance Transport of Tomato in India

Tomato growers of Gujarat , north-west India , traditionally send produce to wholesale market in Ahmedabad city for auction. Growing areas lie about 250-300 km from the city. Growers were constrained to sell there even if the prices were not attractive which the case usually as season advanced was. Lack of sturdy packaging deterred them from sending produce to more distant markets such as Bombay ( 600 km ) , Delhi ( 900 km) or Bangalore ( 2000) . Peti, the box used presently, made of strips of wood nailed together does not protect the produce adequately. Although, there are many large packaging firms in the region producing boxes for various consumer products, problem of tomato growers was not recognized. Their view was that tomato being a low-value commodity, growers will not buy better packaging. Being mostly small, growers were not organized enough to raise funds to sponsor research at public R&D institutions in the area. That task was therefore taken up. Boxes that protected the produce better on long journey and were affordable were designed and introduced successfully in the region. This paper describes the development.

Carboxymethyl Chitosan Modified Montmorillonite for Efficient Removal of Cationic Dye from Waste Water

The feasibility of carboxymethyl chitosan intercalated montmorillonite (CMCTS-MMT) clay used as a low-costand effective adsorbent for removal of cationic dye, crystal violet from the aqueous solution has been investigated.The synthesis of CMCTS-MMT was confirmed from the analytical information based on the characterization carried out by Fourier transformation infrared spectroscopy, x-ray diffraction data. During the removal process, batch technique was used and the effect of initial dye concentration, pH, temperature and weight ratio variation of sample composition were evaluated. Sorption process was analysed using pseudo-first order and pseudo-second order kinetic models. The data showed that the second order kinetic model was more appropriate for the absorption of thepresent dye. The equilibrium adsorption isotherms have been analyzed with the help of Langmuir, Freundlich and Redlich-Peterson analytical models. It was observed that the experimental data correlated reasonably well by the Redlich-Peterson and Langmuir isotherms. The desorbed CMCTS-MMT could be reused for adsorption of cationicdye. To investigate the changes in surface morphology of CMCTS-MMT after sorption, scanning electron microscopy analysis were done before and after adsorption of the cationic dye. Finally, the results in this study confirmed thatCMCTS-MMT may be an attractive contender for removal of cationic dyes from the waste water.Defence Science Journal, Vol. 64, No. 3, May 2014, pp. 198-208, DOI:http://dx.doi.org/10.14429/dsj.64.7318

A Multi-dimensional Real World Spectrum Occupancy Data Measurement and Analysis for Spectrum Inference in Cognitive Radio Network

Spectrum Inference in contrast to Spectrum Sensing is an active technique for dynamically inferring radio spectrum state in Cognitive Radio Networks. Efficient spectrum inference demands real world multi-dimensional spectral data with distinct features. Spectrum bands exhibit varying noise floors; an effective band wise noise thresholding guarantees an accurate occupancy data. In this work, we have done an extensive real world spectrum occupancy data measurement in frequency range 0.7 GHz to 3 GHz for tele density wise varying locations at Pune, Solapur and Kalaburagi with time diversity ranging from 2 to 7 days. We have applied maximum noise (Max Noise), m-dB and probability of false alarm (PFA) noise thresholding for spectrum occupancy calculations in all bands and across all locations. Overall occupancy across these locations is 37.89 %, 18.90 % and 13.69 % respectively. We have studied signal to noise ratio (SNR), channel vacancy length durations (CVLD) and service congestion rates (SCR) as characteristic features of measured multi-dimensional spectrum data. The results reveal strong time, spectral and spatial correlations of these features across all locations. These features can be used for a multi-dimensional spectrum inference in cognitive radio based on machine learning