Abstract:
Damsisa (Ambrosia maritima L.) is one of the wild plants present in Egypt and different African countries of the Nile Valley. It considered as potential source of molluscicides for treatment of infected sites. In this study, DNA amplifications technique and protein electrophoresis were used for the evaluation of response of Damsisa herbs to gamma rays (γ-rays), soil salinity and their interaction on alleviation of salt stress. This study also examined the effect of herb as bio-resistant for insect infestation in Phaseolus beans. Protein electrophoresis revealed that the number of protein bands separated from plants grown in saline soil not changed either grown from irradiated or un-irradiated seeds except 40 Gray (Gy) dose. Meanwhile, it was observed that mixing Damsisa herb with infested Phaseolus beans reduced insect ability to lays eggs or complete life cycle. Also, it was found that herbs produced from irradiated seeds and grown in normal or in saline soil were more effective in destruction of Callosobruchus maculatus insect and decreased the loss from infested beans.

Abstract:
The determination of an unknown spacewice dependent force function acting on a vibrating string from over-specified Cauchy boundary data is investigated numerically using the boundary element method (BEM) combined with a regularized method of separating variables. This linear inverse problem is ill-posed since small errors in the input data cause large errors in the output force solution. Consequently, when the input data is contaminated with noise we use the Tikhonov regularization method in order to obtain a stable solution. The choice of the regularization parameter is based on the L-curve method. Numerical results show that the solution is accurate for exact data and stable for noisy data

Abstract:
We consider the inverse problem for the wave equation which consists of determining an unknown space-dependent force function acting on a vibrating structure from Cauchy boundary data. Since only boundary data are used as measurements, the study has importance and significance to non-intrusive and non-destructive testing of materials. This inverse force problem is linear, the solution is unique, but the problem is still ill-posed since, in general, the solution does not exist and, even if it exists, it does not depend continuously upon the input data. Numerically, the finite difference method combined with the Tikhonov regularization are employed in order to obtain a stable solution. Several orders of regularization are investigated. The choice of the regularization parameter is based on the L-curve method. Numerical results show that the solution is accurate for exact data and stable for noisy data. An extension to the case of multiple additive forces is also addressed. In a companion paper, in Part II, the time-dependent force identification will be undertaken.

Abstract:
Within the "lowest Landau level approximation", we develop a method to find the ground state of a 2d system of interacting particles confined by a parabolic potential.

Abstract:
Using Perron-Frobenius theorem, we prove that the results by Wilkin, Gunn and Smith [1] for the ground states of N Bose atoms rotating at the angular momentum L in a harmonic atomic trap with frequency omega interacting via attractive delta^2(r) forces, are valid for a broad class of predominantly attractive interactions V(r), not necessarily attractive for any r. The sufficient condition for the interaction is that all the two-body matrix elements allowed by the conservation of angular momentum k+l = m+n, are negative. This class includes, in particular, the Gaussian attraction of arbitrary radius, -1/r - Coulomb and log(r)-Coulomb forces, as well as all the short-range R << omega^{-1/2} interactions satisfying inequality int d^2r V(r) < 0. There is no condensation at L>> 1, and the angular momentum is concentrated in the collective ``center-of-mass'' mode.

Abstract:
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.

Abstract:
Objective: To compare the efficacy and safety of Lidocaine 2% versus Dexamethasone
injected locally in mastectomy wound as pain relieving agents. Materials & Methods:
A randomized single-blinded study in which 50 patients candidate for Mastectomy
were included. Participants were equally randomized into two groups; Group A, in
which patients received 10ml Lidocaine 2% and Group B, in
which patients received 16 mL Dexamethasone. In both groups, the drugs were
given via local infiltration in the subcutaneous layer of the Mastectomy wound
immediately after skin closure. Pain control was assessed post-operatively in
the first 24 hours using the visual analogue scale (VAS) in addition the need
for additional analgesia was recorded. Results: There was a statistically
significant lower VAS score in group A (Lidocaine group) when compared to those
in group B (Dexamethasone group) 1 h, 6 h, 12 h postoperatively with no
significance 24 h postoperatively (36% vs 64% 1 h, 28% vs 64% 6 h, 30% vs 72%
12 h and,80% vs 60% 24 h). This statistical significance was evident throughout
the post-operative hours (1h, 6 h, 12 h). Though local Lidocaine caused marked improvement of pain
in bigger number of patients in group A than group B, yet it showed no
statistical significance 24 h post-mastectomy. Furthermore, the number of
participants that needed additional doses of analgesia lower in group A (48% vs
56%) in comparison to group B, but still showed no statistical

Abstract:
In a k-dimensional system of weakly interacting Bose atoms trapped by a spherically symmetric and harmonic external potential, an exact expression is obtained for the rotating ground states at a fixed angular momentum. The result is valid for arbitrary interactions obeying minimal physical requirements. Depending on the sign of a modified scattering length, it reduces to either a collective rotation or a condensed vortex state, with no alternative. The ground state can undergo a kind of quantum phase transition when the shape of the interaction potential is smoothly varied.