Abstract:
[retracted]objective: to assess the incidence, severity pattern, causality, predictability and preventability of adverse drug reactions (adrs) and to identify risk factors for adverse drug reactions in highly active antiretroviral therapy. methods: enrolled patients were intensively monitored for adrs to highly active antiretroviral therapy. predictability was assessed based on history of previous exposure to the drug or literature incidence of adrs. preventability was assessed using schumock and thornton criteria and severity was assessed using modified hartwig and siegel scale. multivariate logistic regressions were used to identify the risk factors for adrs. results: monitoring of 130 retropositive patients by active pharmacovigilance identified 74 adrs from 57 patients. anemia and hepatotoxicity were the most commonly observed adrs. the organ system commonly affected by adr was red blood cell (21.4%).the adrs were moderate in 77% of cases. type a reactions (77%) were more common. a total of 10.8% adrs were definitely preventable. the incidence rate of adrs (65.9%) was highest with zidovudine + lamivudine + nevirapine combination. a total of 84% interruptions to highly active antiretroviral therapy were due to toxicity. cd4 less than 200 cells/μl, female gender and tuberculosis were observed as risk factors for adrs. conclusion: incidence of adrs in intensively monitored patients was found to be 43.8%. anemia in hiv patients is an influential risk factor for occurrence of adrs. with the increasing access to antiretroviral in india, clinicians must focus on early detection and prevention of adrs to highly active antiretroviral therapy.

Abstract:
Bacillus amyloliquefaciens is obtained from soil which produces extracellular alphaamylase enzyme. The present study is concerned with effect of metal ions on alpha amylaseproduction. Metal ions are Ca2+, Cu2+, Mg2+, Fe2+ and Mn2+ at different concentrations 2g/l,5g/l and 7g/l. Supplementations of salts of certain ions provide good growth ofmicroorganism and production of alpha amylase. Ca2+and Mg2+exhibit positive influence onalpha-amylase production. Our results show that the amylase production is higher in thepresence of Ca2+ (0.439) IU/ml/min at 7g/l concentration in comparison of other metal ions.The enzyme activity of Mg2+(0.321) IU/ml/min at 2g/l concentration. The study focuses onsupplementation of metal ions increase the production of amylase.

Abstract:
Colour reconnection is the final state interaction between quarks from different sources. It is not yet fully understood and is a source of systematic error for W-boson mass and width measurements in hadronic \WW decays at LEP2. The methods of measuring this effect and the results of the 4 LEP experiments at $183\gev\leq\rts\leq 202\gev$ will be presented.

Abstract:
What is the shape of the 2D convex region P from which, when 2 mutually congruent convex pieces with maximum possible area are cut out, the highest fraction of the area of P is left over? When P is restricted to the set of all possible triangular shapes, our computational search yields an approximate upper bound of 5.6% on the area wasted when any triangle is given its best (most area utilizing) partition into 2 convex pieces. We then produce evidence for the general convex region which wastes the most area for its best convex 2-partition not being a triangle and briefly discuss some further generalizations of the question.

Abstract:
A k-fan is a set of k half-lines (rays) all starting from the same point, called the origin of the fan. We discuss the partition of convex 2D regions into n (a positive integer) equal area convex pieces by fans with the following additional requirement: the perimeters of the resultant equal area pieces should be as close to one another as possible. We present some basic properties of such fans, which we call 'fairest equipartitioning fans', and raise further questions.

Abstract:
Recently, Anno, Bezrukavnikov and Mirkovic have introduced the notion of a "real variation of stability conditions" (which is related to Bridgeland's stability conditions), and construct an example using categories of coherent sheaves on Springer fibers. Here we construct another example of representation theoretic significance, by studying certain sub-quotients of category O with a fixed Gelfand-Kirillov dimension. We use the braid group action on the derived category of category O, and certain leading coefficient polynomials coming from translation functors. Consequently, we use this to explicitly describe a sub-manifold in the space of Bridgeland stability conditions on these sub-quotient categories, which is a covering space of a hyperplane complement in the dual Cartan.

Abstract:
Let $G=Sp_{2n}(\mathbb{C})$, and $\mathfrak{N}$ be Kato's exotic nilpotent cone. Following techniques used by Bezrukavnikov in [5] to establish a bijection between $\Lambda^+$, the dominant weights for a simple algebraic group $H$, and $\textbf{O}$, the set of pairs consisting of a nilpotent orbit and a finite-dimensional irreducible representation of the isotropy group of the orbit, we prove an analogous statement for the exotic nilpotent cone. First we prove that dominant line bundles on the exotic Springer resolution $\widetilde{\mathfrak{N}}$ have vanishing higher cohomology, and compute their global sections using techniques of Broer. This allows to show that the direct images of these dominant line bundles constitute a quasi-exceptional set generating the category $D^b(Coh^G(\mathfrak{N}))$, and deduce that the resulting $t$-structure on $D^b(Coh^G(\mathfrak{N}))$ coincides with the perverse coherent $t$-structure. The desired result now follows from the bijection between costandard objects and simple objects in the heart of this $t$-structure on $D^b(Coh^G(\mathfrak{N}))$.

Abstract:
We briefly introduce several problems: (1) a generalization of the convex fair partition conjecture, (2) on non-trivial invariants among polyhedrons that can be formed from the same set of face polygons, (3) two questions on assembling rectangular tiles to form larger rectangles and (4) on convex regions which maximize and minimize the diameter for specified area and perimeter. For each question, we discuss partial solutions and indicate aspects that to our knowledge, await exploration.

Abstract:
We examine the Art Gallery Problem with Edge Guards. We present a heuristic algorithm to arrange edge guards to guard only the inward side of the walls of any N-vertex simple polygonal gallery using at most roof (N/4) edge guards - a weakened version of Toussaint's conjecture on the number of edge guards that can guard an entire simple polygon. Our study indicates that solving this weaker problem could give a handle on the full problem.