Group-invariant solutions of semilinear Schrodinger equations in multi-dimensions

Symmetry group methods are applied to obtain all explicit group-invariant radial solutions to a class of semilinear Schr¨odinger equations in dimensions n = 1. Both focusing and defocusing cases of a power nonlinearity are considered, including the special case of the pseudo-conformal power p = 4/n relevant for critical dynamics. The methods involve, first, reduction of the Schr¨odinger equations to group-invariant semilinear complex 2nd order ordinary differential equations (ODEs) with respect to an optimal set of one-dimensional point symmetry groups, and second, use of inherited symmetries, hidden symmetries, and conditional symmetries to solve each ODE by quadratures. Through Noether’s theorem, all conservation laws arising from these point symmetry groups are listed. Some group-invariant solutions are found to exist for values of n other than just positive integers, and in such cases an alternative two-dimensional form of the Schr¨odinger equations involving an extra modulation term with a parameter m = 2−n = 0 is discussed.

Multisite Research Ethics Review: Problems and Potential Solutions

Article

Solutions of the fully compressible semi-geostrophic system

The fully compressible semi-geostrophic system is widely used in the modelling of large-scale atmospheric flows. In this paper, we prove rigorously the existence of weak Lagrangian solutions of this system, formulated in the original physical coordinates. In addition, we provide an alternative proof of the earlier result on the existence of weak solutions of this system expressed in the so-called geostrophic, or dual, coordinates. The proofs are based on the optimal transport formulation of the problem and on recent general results concerning transport problems posed in the Wasserstein space of probability measures.

Confidence in heuristic solutions?

Solutions to combinatorial optimization problems frequently rely on heuristics to minimize an objective function. The optimum is sought iteratively and pre-setting the number of iterations dominates in operations research applications, which implies that the quality of the solution cannot be ascertained. Deterministic bounds offer a mean of ascertaining the quality, but such bounds are available for only a limited number of heuristics and the length of the interval may be difficult to control in an application. A small, almost dormant, branch of the literature suggests using statistical principles to derive statistical bounds for the optimum. We discuss alternative approaches to derive statistical bounds. We also assess their performance by testing them on 40 test p-median problems on facility location, taken from Beasley’s OR-library, for which the optimum is known. We consider three popular heuristics for solving such location problems; simulated annealing, vertex substitution, and Lagrangian relaxation where only the last offers deterministic bounds. Moreover, we illustrate statistical bounds in the location of 71 regional delivery points of the Swedish Post. We find statistical bounds reliable and much more efficient than deterministic bounds provided that the heuristic solutions are sampled close to the optimum. Statistical bounds are also found computationally affordable.

Solar adsorption refrigeration : an alternative/auxiliary way for thermal storage for air conditioning

This paper presents an idea of using solar powered adsorption ice making system as an alternative or an auxiliary way for the traditional ice storage air conditioning systems. A simple solar adsorption refrigeration system runs in intermittent cycle. It makes cooling effect at night, and the cooling effect can be stored for the day use. It fits in well with the cycle of the existing off-peak ice storage air conditioning system. On the top of green effect of the solar powered ice making system, the idea is specifically beneficial for places where the price of the off-peak electricity is not significantly lower than peak price. Based on our many years experience on the solar ice making systems, the paper discusses the technical feature of the solar ice making technology and the solutions we are working on to attack the problems which may have potential damage to application of the solar ice making system for air conditioning purposes.

Teacher education and critical inquiry : the use of activity theory in exploring alternative understandings of language and literacy

This paper explores the challenges of espousing a critical pedagogy within the managerial climate that presently shapes teacher education. It argues that current discourses of professionalism are incommensurate with a view of literacy as social practice and that they disregard complex semiotic ecologies in which both school and university students operate. Graduate teachers are constructed as the ‘providers’ of decontextualised literacy skills to school students whose existing communication networks are ignored. Rejecting this narrow view of professional practice, we draw on activity theory to analyse the social configuration of tertiary students’ identities and the textual resources that mediate their professional learning. This kind of research is needed to reveal the contradictions within and between activity systems in which tertiary students participate as well as to construct possible solutions to the contradictions identified.

Beyond statutory enforcement - alternative approaches to improving OSH in the temporary agency sector

As with other types of flexible employment, a growing body of international research has found an association between temporary agency work and comparatively poor occupational safety and health outcomes. Temporary agency work has also been found to pose a serious challenge to regulatory regimes, including the activities of inspectors. Government agencies have responded to these challenges in a number of ways. This study examines a project undertaken in the Australian state of Queensland that sought to identify both particular problems and ways of resolving them. The focus of the project was to identify ‘non-regulatory’ solutions based on information collected through focus groups of agency and host employer representatives. However, while a number of policy interventions were identified that fitted this approach, the project also found that both agency firms and hosts believed additional regulatory controls were required. This paper assesses these findings in the context of broader research and policy debates about how to deal with the occupational safety and health problems posed by the global shift to more flexible work arrangements.

Fictional inquiry : an alternative process to inspire creativity in children's co-design projects

Children's creativity is a valuable resource for architectural design, and attempts have been made throughout the world to involve children in the design process of their environments. Previous children's co-design projects often followed a problem solving process, however, this process has limitations in stimulating children's creativity. Research has found that children's creativity is different to adult's creativity: Instead of creative problem solving skills, children's creativity is most evident in their imagination and originality of thinking. Addressing this issue, an alternative process in children's co-design projects was experimented: Fictional Inquiry. In this paper, two case studies are used to illustrate how the fictional inquiry process is applied in children's co-design projects.* These two projects were both joint educational projects between Deakin University and schools in Geelong and Melbourne. Through several weeks' of workshops, children and university architecture students worked in small groups to develop architectural design solutions. It was observed that creative design outcomes have been achieved in these two projects, which suggested that Fictional Inquiry was an effective process to inspire children's creativity. Applying the Fictional Inquiry process, Deakin University is currently working with another school in the Geelong Region, with the aim of achieving creative architectural design outcomes.

Senior marketers’ insights into the challenges of social media implementation in large organisations: assessing generic and electronic orientation models as potential solutions

The unique characteristics of social media (SM) have made it difficult to implement this tool within many large organisations. This paper seeks to identify the implementation challenges and evaluate alternative organisational orientations that may provide solutions. We aimed to reconcile theory with current practice by integrating the extant literature with data from three focus groups involving 27 senior marketing executives. The managerial discussions identified additional challenges to those previously discussed in the literature, which appear to result from SM’s unique characteristics. These include: interactivity, the integration of communication into distribution channels, collaborative media and information collection. Using both broad orientation models (market orientation and entrepreneurial orientation) and a specific digital orientation (e-marketing orientation), guidelines and research propositions for effective implementation are put forward.

The restoration of the passivity of stainless steel Weldments in pickling solutions observed using electrochemical and surface analytical methods

In this study, a solution containing ammonium fluoride (NH4F) and nitric acid (HNO3) was used as an alternative to the conventional highly toxic pickling solution HF/HNO3 for pickling weldments of selected stainless steels including Type 316 stainless steel (UNS S31600), duplex stainless steel 2205 (UNS S32205), and super duplex stainless steel 2507 (UNS S32750). Electrochemical and surface analytical methods were used to understand the effects of pickling on the stainless steel weldments. Cyclic potentiodynamic polarization (CPP) test results indicated that the restoration of passivity of stainless steel weldments could be achieved by pickling the weldments in both HF/HNO3 solution and NH4F/HNO3 solutions. Scanning electron microscopy observation of the UNS S32750 weldment surface revealed that both the HF/HNO3 solution and the NH4F/HNO3 solution could remove the heat tint on the weldment. X-ray photoelectron spectroscopy analysis indicated that treatment in these two pickling solutions produced passive films with similar characteristics. Thus, this work suggests that the NH4F/HNO3 solution is a promising alternative to HF/HNO3 solution for the pickling of stainless steel weldments, and that the CPP test approach can be used in conjunction with surface analytical methods for further development of safer and environmentally friendly picklingsolutions.

Tissue Reaction to Silver Nanoparticles Dispersion as an Alternative Irrigating Solution

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Evidence of thermostable amylolytic activity from Rhizopus microsporus var. rhizopodiformis using wheat bran and corncob as alternative carbon source

Rhizopus microsporus var. rhizopodiformis produced high levels of alpha-amylase and glucoamylase under solid state fermentation, with several agricultural residues, such as wheat bran, cassava flour, sugar cane bagasse, rice straw, corncob and crushed corncob as carbon sources. These materials were humidified with distilled water, tap water, or saline solutions-Segato Rizzatti (SR), Khanna or Vogel. The best substrate for amylase production was wheat bran with SR saline solution (1:2 v/v). Amylolytic activity was still improved (14.3%) with a mixture of wheat bran, corncob, starch and SR saline solution (1:1:0.3:4.6 w/w/w/v). The optimized culture conditions were initial pH 5, at 45 degrees C during 6 days and relative humidity around 76%. The crude extract exhibited temperature and pH optima around 65 degrees C and 4-5, respectively. Amylase activity was fully stable for 1 h at temperatures up to 75 degrees C, and at pH values between 2.5 and 7.5.

An alternative process for butanol production: Continuous flash fermentation

The objective of this work is to introduce and demonstrate the technical feasibility of the continuous flash fermentation for the production of butanol. The evaluation was carried out through mathematical modeling and computer simulation which is a good approach in such a process development stage. The process consists of three interconnected units, as follows: the fermentor, the cell retention system (tangential microfiltration) and the vacuum flash vessel (responsible for the continuous recovery of butanol from the broth). The efficiency of this process was experimentally validated for the ethanol fermentation, whose main results are also shown. With the proposed design the concentration of butanol in the fermentor was lowered from 11.3 to 7.8 g/l, which represented a significant reduction in the inhibitory effect. As a result, the final concentration of butanol was 28.2 g/l for a broth with 140 g/l of glucose. Solvents productivity and yield were, respectively, 11.7 g/l.h and 33.5 % for a sugar conversion of 95.6 %. Positive aspects about the flash fermentation process are the solvents productivity, the use of concentrated sugar solution and the final butanol concentration. The last two features can be responsible for a meaningful reduction in the distillation costs and result in environmental benefits due to lower quantities of wastewater generated by the process. © 2008 Berkeley Electronic Press. All rights reserved.

Leaching of Ni and Cu from mine wastes (tailings and slags) using acid solutions and A. ferrooxidans

The objective of this work is to evaluate the acidic and biological leaching of tailings containing Ni/Cu from a flotation and smelting plant. Acidithiobacillus ferrooxidans, strain LR, was used for bioleaching at pH 1.8 and chemical controls were run parallel to that. The acidic leaching was done within 48 hours at pH 0.5 and 1.0. In the slag inoculated flasks the redox potential was high (600 mV), thus indicating oxidative bacterial activity, however, the obtained results after 15 days showed only around 13% Ni and 8% Cu extractions, which were not different to those of the controls. For the flotation tailings bioleaching extractions were approximately 45% for Ni and 16% for Cu while differing figures were obtained for the chemical controls. These were 30% and 12% respectively. Here we could observe that the presence of bacterial activity led to a higher solubility of Ni. Acid leaching of slag showed higher nickel and copper extractions: 56% and 24% respectively at pH 0.5 and 21% and 11% at pH 1.0. However, the acid consumption was 320 and 150 Kg/ton of slag, respectively, both much higher than in bacterial assays. These results indicated that Ni and Cu solubilization from the slag is acid dependent no matter the redox potential or ferric iron concentration of the leaching solution. For flotation tailings, acid treatment showed extractions of 23% for Ni and 16% for copper at pH 0.5 and 22% and 28%, respectively at pH 1.0. The acid consumption was also higher: 220 and 120 Kg/ton, at pH 0.5 and 1.0, respectively. Based on own findings we could observe that acid leaching is found to be more effective for slag, though the acid consumption is much higher, while for the flotation tailings, bacterial leaching seems to be the best alternative. © (2009) Trans Tech Publications.

Evaluation of alternative methods for the disinfection of toothbrushes

The aim of this study was to evaluate alternative methods for the disinfection of toothbrushes considering that most of the previously proposed methods are expensive and cannot be easily implemented. Two-hundred toothbrushes with standardized dimensions and bristles were included in the study. The toothbrushes were divided into 20 experimental groups (n=10), according to microorganism considered and chemical agent used. The toothbrushes were contaminated in vitro by standardized suspensions of Streptococcus mutans, Streptococcus pyogenes, Staphylococcus aureus or Candida albicans. The following disinfectants were tested: 0.12% chlorhexidine digluconate, 50% white vinegar, a triclosan-containing dentifrice solution, and a perborate-based tablet solution. The disinfection method was immersion in the disinfectant for 10min. After the disinfection procedure, the number of remaining microbial cells was evaluated. The values of cfu/toothbrush of each group of microorganism after disinfection were compared by Kruskal-Wallis ANOVA and Dunn's test for multiple comparisons (5%). The chlorhexidine digluconate solution was the most effective disinfectant. The triclosan-based dentifrice solution promoted a significant reduction of all microorganisms' counts in relation to the control group. As to the disinfection with 50% vinegar, a significant reduction was observed for all the microorganisms, except for C. albicans. The sodium perborate solution was the less effective against the tested microorganisms. Solutions based on triclosan-containing dentifrice may be considered effective, nontoxic, cost-effective, and an easily applicable alternative for the disinfection of toothbrushes. The vinegar solution reduced the presence of S. aureus, S. mutans and S. pyogenes on toothbrushes.