Condensed vortex ground states of rotating Bose-Einstein condensate in harmonic atomic trap

We study a system of $N$ Bose atoms trapped by a symmetric harmonic potential, interacting via weak central forces. Considering the ground state of the rotating system as a function of the two conserved quantities, the total angular momentum and its collective component, we develop an algebraic approach to derive exact wave functions and energies of these ground states. We describe a broad class of the interactions for which these results are valid. This universality class is defined by simple integral condition on the potential. Most of the potentials of practical interest which have pronounced repulsive component belong to this universality class.Comment: 34 pages, 10 ps figures, minor revisions, to be publ. in Ann. Phy

Time-Variant System Reliability with Infinite Delay Based on Girsanov's Transformation

This work addresses the reliability of time-variant system appreciation models of dynamic systems, where regulatory equations are expressed as an infinite delay collection of stochastic functional differential equations (SFDEwID). Reliability estimation forms of series and parallel systems tackled depending on Monte Carlo simulations based on extends Girsanov's transformation for infinite delay SFDEs

Thermal Finite Element Analysis and Optimization of Carbon Steel Stud Arc Weld

This work investigates the temperature distribution during the stud arc welding process by building a thermal finite element (FE) model with the aid of Comsol- program. Also, the aim of this study was to optimize the ultimate applied torque of the welded stud and the total input heat during welding process by individual and composite desirability. A stud of carbon steel- B7 is welded to a plate of carbon steel- grade- C. The welding machine parameters are; current, welding time and plunge. Three levels for each parameter, mentioned above, are used to optimize the resistance torque and the total heat flux using the design of experiments according to Taguchi method. The finite element model is built depending on the input heat source, convection and radiation heat transfer during stud welding process. The tests include the torsional test and actual heat transfer depending on the record of temperatures at different locations. The suggested FE model gave a good agreement with the experimental temperature record with approximately errors of 5%. The results indicate that the torsional resistance increase with increasing of the weld time at a small welding current of I= 400 A. While, at higher welding current, I= 800 A, the torsional resistance decrease with increasing of the plunge welding value. The maximum temperature value lies at the centre of the FE welded model and reduced gradually away from it with a symmetrical distribution. A sufficient welding heat input can make the torsional resistance of the weld line more than those of stud. Due to the higher temperature gradient during the welding process, the microstructure of the welded joint exhibits three regions; nugget zone (NZ), thermo-mechanical affected zone (TMAZ) and the heat affected zone (HAZ). The first region consists of Martensite and ferrite phase with a higher plastic deformation, in which, the peak value of temperature is obtained from the finite element method. A coarse grain size with higher dislocations is found in the second stage. While, the HAZ gave a fine grain size without deformation due to, hence, only thermal cycle is occurred in this region.In this work an investigation to the temperature distribution during the stud arc welding process by building a thermal finite element (FE) model with the aid of Comsol- program was conducted. Also, an optimization to the ultimate applied torque of the welded stud and the total input heat during welding process by individual and composite desirability was intended.  A stud of carbon steel-B7 is welded to a plate of carbon steel-grade-C. The welding machine parameters are; current, welding time and plunge. Three levels for each parameter, mentioned above, are used to optimize the resistance torque and the total heat flux using the design of experiments according to Taguchi method. The finite element model is built upon the input heat source, convection and radiation heat transfer during stud welding process. The tests include the torsional test and actual heat transfer depending on the record of temperatures at different locations. The suggested FE model gave good agreement with the experimental temperature record with an approximate error of 5%. The results indicated that the torsional resistance increases with the increasing of weld time at small welding current of 400 A. At higher welding current (I = 800 A) the torsional resistance decreases with the increasing of the plunge welding value. The maximum temperature region lies at the center of the FE welded model and reduced gradually away from it with a symmetrical distribution. A sufficient welding heat input can make the torsional resistance of the weld line more than those of the stud. Due to the higher temperature gradient during the welding process, the microstructure of the welded joint exhibits three regions; nugget zone (NZ), thermo-mechanical affected zone (TMAZ) and the heat affected zone (HAZ). The first region consists of Martensite and ferrite phase with a higher plastic deformation, in which, the peak value of temperature was observed numerically. A coarse grain size with higher dislocations was found in the second stage. While, th

New Type of Generalized Closed Sets

In this paper, we introduce and study a new type of sets , namely strongly -closed (briefly,- closed) set. This class is strictly between the class of closed sets and the class of gsg- closed sets. It is shown that the class of - open sets forms a topology finer than . Relationships with certain types of closed sets are discussed and basic properties and characterizations are investigated. Further, new characterizations of normal spaces are provided and several preservation theorems of normality are improved. Key words and phrases: - closed sets, - open sets, normal spaces

Prevalence and Physiological analysis of Acute Bacterial Meningitis infections at care center in Babylon province

This study was done on the 142 patients suffering from meningitis infection depending on the physician's diagnosis from January 2009 to June 2009. Most specimens was collected in Babylon maternity and children hospital because the age group in this study was (<1-10 years). Blood and CSF specimens were collected, microbiological and biochemical tests were carried. obtained results showed that the most common bacterial causing meningitis was Streptococcus pneumoniae (23.94%) followed by Staphylococcus aureus (16.197%), Neisseria meningitides (14.084%), Escherichia coli (14.084%), Haemophilus influenzae type b (Hib) (11.97%), Pseudomonas aeruginosa (6.338%), Staphylococcus spp. (3.521%) and Acinetobacter spp (1.408%), while Negative Culture formed  (8.45%). Physiological analysis of cerebrospinal fluid in acute bacterial meningitis showed that protein (mg/dl)>500, glucose <40 mg%, CSF/blood glucose <0.4, CRP > 24 mg/L, PMN (%)>80 and white blood cell (cells/mm3) different than normal values indicated of bacterial acute meningitis. Corresponding factors associated with acute bacterial meningitis like sinusitis, cirrhosis, pneumonia, chronic otitis media, diabetes mellitus and malignancy was reported. Age and sex distribution of meningitis causes revealed that the main age group of infection was (<1-5 years) and there is no significant differences between male and female infections. Keywords: Meningitis, Bacteria, Haemophilus influenza, Streptococcus pneumoniae, N. meningitide