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    MATH 1031

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    MATH 1032

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    MATH 1031

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    Transonic Navier-Stokes solutions of three-dimensional afterbody flows

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    The performance of a three-dimensional Navier-Stokes solution technique in predicting the transonic flow past a nonaxisymmetric nozzle was investigated. The investigation was conducted at free-stream Mach numbers ranging from 0.60 to 0.94 and an angle of attack of 0 degrees. The numerical solution procedure employs the three-dimensional, unsteady, Reynolds-averaged Navier-Stokes equations written in strong conservation form, a thin layer assumption, and the Baldwin-Lomax turbulence model. The equations are solved by using the finite-volume principle in conjunction with an approximately factored upwind-biased numerical algorithm. In the numerical procedure, the jet exhaust is represented by a solid sting. Wind-tunnel data with the jet exhaust simulated by high pressure air were also obtained to compare with the numerical calculations

    Character and Community: Rispetto as a Virtue in the Tradition of Italian-American Lawyers

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    Our project is to contemplate a discrete piece of applied ethics in the American legal profession, a piece of what one might call Italian-American legal ethics. We propose to describe a moral value for which we will use the Italian word rispetto. Our understanding of rispetto is that it is a virtue, a good habit, through which the person learns, practices, teaches, and remembers his place within the family. We will argue here that the practice of this virtue will allow a modern lawyer to be in and of his or her civic and professional community without loss of dignity and a sense of self

    Lawyers as Assimilators and Preservers

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    Use of probiotic Lactobacillus preparation to prevent diarrhoea associated with antibiotics: randomised double blind placebo controlled trial

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    Objective To determine the efficacy of a probiotic drink containing Lactobacillus for the prevention of any diarrhoea associated with antibiotic use and that caused by Clostridium difficile. Design Randomised double blind placebo controlled study. Participants 135 hospital patients (mean age 74) taking antibiotics. Exclusions included diarrhoea on admission, bowel pathology that could result in diarrhoea, antibiotic use in the previous four weeks, severe illness, immunosuppression, bowel surgery, artificial heart valves, and history of rheumatic heart disease or infective endocarditis. Intervention Consumption of a 100 g (97 ml) drink containing Lactobacillus casei, L bulgaricus, and Streptococcus thermophilus twice a day during a course of antibiotics and for one week after the course finished. The placebo group received a longlife sterile milkshake. Main outcome measures Primary outcome: occurrence of antibiotic associated diarrhoea. Secondary outcome: presence of C difficile toxin and diarrhoea. Results 7/57 (12%) of the probiotic group developed diarrhoea associated with antibiotic use compared with 19/56 (34%) in the placebo group (P=0.007). Logistic regression to control for other factors gave an odds ratio 0.25 (95% confidence interval 0.07 to 0.85) for use of the probiotic, with low albumin and sodium also increasing the risk of diarrhoea. The absolute risk reduction was 21.6% (6.6% to 36.6%), and the number needed to treat was 5 (3 to 15). No one in the probiotic group and 9/53 (17%) in the placebo group had diarrhoea caused by C difficile (P=0.001). The absolute risk reduction was 17% (7% to 27%), and the number needed to treat was 6 (4 to 14). Conclusion Consumption of a probiotic drink containing L casei, L bulgaricus, and S thermophilus reduce the incidence of antibiotic associated diarrhoea and C difficile associated diarrhoea. This has the potential to decrease morbidity, healthcare costs, and mortality if used routinely in patients aged over 50
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