Lower bound and upper bound of operators on block weighted sequence spaces

Let $A = {({a_{n,k}})_{n,k \ge 1}}$ be a non-negative matrix. Denote by L _v,p,q,F (A) the supremum of those L that satisfy the inequality $$\parallel Ax{\parallel _{v,q,F}} \ge L\parallel x{\parallel _{v,p,F}}$$ where x ? 0 and x ε ? _p (v, F) and also v = (v _n ) _n=1 ^∞ is an increasing, non-negative sequence of real numbers. If p = q, we use L _v,p,F (A) instead of L _v,p,p,F (A). In this paper we obtain a Hardy type formula for L _v,p,q,F ( ${H_\mu }$ ), where ${H_\mu }$ is a Hausdorff matrix and 0 < q ? p ? 1. Another purpose of this paper is to establish a lower bound for ‖A _W ^NM ‖ _v,p,F , where A _W ^NM is the N?rlund matrix associated with the sequence W = {w _n } _n=1 ^t8 and 1 < p < ∞. Our results generalize some works of Bennett, Jameson and present authors.     

A chemiluminescence flow injection system for nitrite ion determination

A chemiluminescence system is described for the determination of nitrite ion based on new designs for an ozone generator, liquid-gas separator and chemiluminescence reaction cell. The method is based on the gas-phase chemiluminescence reaction between ozone and nitric oxide, which is generated from the reduction of nitrite with iodide in sulfuric acid solution. The efficiency of the system was evaluated by investigation of the analytical performance characteristics of the system for nitrite determination in batch and flow injection procedures. Under optimal conditions, the chemiluminescence response of the system was linear against the nitrite concentration over the range 1 to 1 × 10⁴ ng ml^?1 in the batch procedure and 10 to 5 × 10³ ng ml^?1 in the flow injection procedure, with detection limits of 1 and 10 ng ml^?1, respectively. The method is highly selective and allows for the determination of nitrite in the presence of high concentrations of several cationic, anionic and nitrogen containing species. It has been successfully applied to the analysis of nitrite in natural water and soil extracts.     

Two Models that show the Interpolation Theorem Fails in all L1(Q{alpha}) and L1, 1 (Q{alpha}, {alpha} = 0, 1, 2,...

The logics L¹(Q), L^1,1(Q) and L²(Q) are formed by adding quantifiersQ, Q^1,1 and Q² respectively to the first-order logic. In thispaper, for each ordinal (including = 0), we construct twoQ models to prove that the Interpolation Theorem fails in L(Q)and L^1,1 (Q).     

Monte Carlo simulation of stage separation dynamics of a multistage launch vehicle

This paper provides the formulation used for studing the cold and hot separating stages of a multistage launch vehicle. Monte Carlo simulation is employed to account for the off nominal design parameters of the bodies undergoing separation to evaluate the risk of failure for the separation event. All disturbances, effect of dynamic unbalance, residual thrust, separation disturbance caused by the separation mechanism and misalignment in cold and hot separation are analyzed to find out nonoccurrence of collision between the separation bodies. The results indicate that the current design satisfies the separation requirements.     

Hybridizing local search algorithms for global optimization

In this paper, we combine two types of local search algorithms for global optimization of continuous functions. In the literature, most of the hybrid algorithms are produced by combination of a global optimization algorithm with a local search algorithm and the local search is used to improve the solution quality, not to explore the search space to find independently the global optimum. The focus of this research is on some simple and efficient hybrid algorithms by combining the Nelder–Mead simplex (NM) variants and the bidirectional random optimization (BRO) methods for optimization of continuous functions. The NM explores the whole search space to find some promising areas and then the BRO local search is entered to exploit optimal solution as accurately as possible. Also a new strategy for shrinkage stage borrowed from differential evolution (DE) is incorporated in the NM variants. To examine the efficiency of proposed algorithms, those are evaluated by 25 benchmark functions designed for the special session on real-parameter optimization of CEC2005. A comparison study between the hybrid algorithms and some DE algorithms and non-parametric analysis of obtained results demonstrate that the proposed algorithms outperform most of other algorithms and their difference in most cases is statistically considerable. In a later part of the comparative experiments, a comparison of the proposed algorithms with some other evolutionary algorithms reported in the CEC2005 confirms a better performance of our proposed algorithms.     

Engineering and Kinetic Stabilization of the Therapeutic Enzyme Anabeana variabilis Phenylalanine Ammonia Lyase

Anabeana variabilis phenylalanine ammonia lyase has just recently been discovered and introduced in clinical trials of phenylketonuria enzyme replacement therapy for its outstanding kinetic properties. In the present study, kinetic stabilization of this therapeutically important enzyme has been explored by introduction of a disulfide bond into the structure. Site-directed mutagenesis was performed with quick-change PCR method. Recombinant wild-type and mutated enzymes were expressed in Escherichia coli, and his-tagged proteins were affinity purified. Formation of disulfide bond was confirmed by Ellman’s method, and then chemical unfolding, kinetic behavior, and thermal inactivation of mutated enzyme were compared with the wild type. Based on our results, the Q292C mutation resulted in a significant improvement in kinetic stability and resistance against chemical unfolding of the enzyme while kinetic parameters and pH profile of enzyme activity were remained unaffected. The results of the present study provided an insight towards designing phenylalanine ammonia lyases with higher stability.     

Method development and validation for optimised separation of salicylic, acetyl salicylic and ascorbic acid in pharmaceutical formulations by hydrophilic interaction chromatography and response surface methodology

This paper introduces a design of experiments (DOE) approach for method optimisation in hydrophilic interaction chromatography (HILIC). An optimisation strategy for the separation of acetylsalicylic acid, its major impurity salicylic acid and ascorbic acid in pharmaceutical formulations by HILIC is presented, with the aid of response surface methodology (RSM) and Derringer's desirability function. A Box-Behnken experimental design was used to build the mathematical models and then to choose the significant parameters for the optimisation by simultaneously taking both resolution and retention time as the responses. The refined model had a satisfactory coefficient (R2>0.92, n=27). The four independent variables studied simultaneously were: acetonitrile content of the mobile phase, pH and concentration of buffer and column temperature each at three levels. Of these, the concentration of buffer and its cross-product with pH had a significant, positive influence on all studied responses. For the test compounds, the best separation conditions were: acetonitrile/22 mM ammonium acetate, pH 4.4 (82:18, v/v) as the mobile phase and column temperature of 28°C. The methodology also captured the interaction between variables which enabled exploration of the retention mechanism involved. It would be inferred that the retention is governed by a compromise between hydrophilic partitioning and ionic interaction. The optimised method was further validated according to the ICH guidelines with respect to linearity and range, precision, accuracy, specificity and sensitivity. The robustness of the method was also determined and confirmed by overlying counter plots of responses which were derived from the experimental design utilised for method optimisation.