On indices of marginal and total production cost

In this paper we suggest cost indices that measure absolute changes in total and marginal production costs between two periods when factor prices change. The class of cost functions that generate equal total and marginal cost indices is characterized. A numerical illustration of the indices is provided using Indian cotton textile industry data.     

Ehrenberg law-like relationship and anthropometry

Summary. Ehrenberg presented the simple law-like relationship log( w )=0.8 h  + 0.4 ± 0.04 between the weight and height of children aged 5–13 years. Several researchers have confirmed that this relationship holds, irrespective of the child's ethnic, racial, gender and social class. In anthropometry, a weight–height relationship is used to measure the nutritional status of children. For this purpose, the World Health Organization have adopted the National Center for Health Statistics population as the international reference population. The relationship between the World Health Organization–National Center for Health Statistics anthropometric standards and Ehrenberg law-like relationship is examined. Differences between the weight-for-height relationship in anthropometry and the law-like relationship between weight and height for children are small and can be attributable to functional differences. It is found that an Ehrenberg law-like relationship can be extended to include children who are under 5 years old. Criteria for using the law-like relationship to assess the nutritional status of these children are thus suggested. The criteria are evaluated using anthropometric data of a sample of 513 children from a rural district of Botswana. The results indicate that the proposed method of using the law-like relationship to assess nutritional status is much simpler and at least as reliable as the existing methods in anthropometry.     

PTSD and the Vietnam veteran: the battle for treatment

1. Patients with post-traumatic stress disorder (PTSD) often encounter treatment that is complicated by professional bias, personal issues, countertransference, and pathological staff dynamics. 2. Treatment is further complicated by diagnostic confusion, the dual diagnoses of substance abuse or depression, and symptoms that mimic personality disorders or psychosis. 3. The special circumstances of the Vietnam conflict that contributed to the susceptibility and etiology of PTSD are the individual characteristics of those who served, the special nature of the war itself and the military strategies used, and the psychosocial and cultural milieu in which it occurred.     

The energy and mass balance of Los Angeles County

We conducted an urban “metabolic” study of inputs and outputs of food, water, energy, and pollutants from Los Angeles County, USA. This region has been the subject of recent debate about the nature of population density and distribution as it relates to urban form and associated environmental impacts. We found that with the exception of food imports and wastewater outputs, inputs of resources and outputs of pollutants generally declined on a per capita basis from 1990 to 2000. Reductions likely reflected a combination of changes in public policy, improvements in technology and public infrastructure, and impacts of increases in population density. However, in comparison to other municipalities and urban regions, resource consumption per capita was still relatively high in some categories, particularly inputs of water and transportation energy. Per capita greenhouse gas emissions were lower in Los Angeles County than for the average of the USA as a whole but higher than previous analyses of urban areas internationally, largely due to comparatively high emissions from the transportation sector. Wastewater discharge accounted for less than 40% of water inputs excluding precipitation; however the partitioning of water outputs through other potential losses, specifically evapotranspiration, runoff, and groundwater recharge, remains highly uncertain. We suggest that more detailed information about water losses will greatly improve future mass and energy accounting for analyses of urban environmental sustainability in this semi-arid region.     

Alcohol use among college students: responses to raising the purchase age

On December 1, 1985, New York State raised its alcohol purchase age from 19 to 21. We used a quasi-experimental research design to explore the changes in alcohol use behaviors and attitudes of undergraduates at a large central New York university before and after this legislation was enacted. The overwhelming majority of this undergraduate population is under 21 years old and is thus affected by the new legislation. A comparison of data from the two survey times revealed that 90% of the undergraduates sampled continued to drink at least occasionally. Our analysis of drinking quantity showed a slight moderation in alcohol consumption overall, with the greatest changes occurring for the heaviest drinkers--men and members of Greek organizations. Even with apparent moderation in student drinking, reported negative consequences such as physical injuries were more common. A change in drinking location to less-controlled environments, such as private rooms and unmonitored parties, is offered as one possible explanation.     

Staying safe and visible via message sharing in online social networks

As an imperative channel for fast information propagation, online social networks (OSNs) also have their defects. One of them is the information leakage, i.e., information could be spread via OSNs to the users whom we are not willing to share with. Thus the problem of constructing a circle of trust to share information with as many friends as possible without further spreading it to unwanted targets has become a challenging research topic but still remained open. Our work is the first attempt to study the Maximum Circle of Trust problem seeking to share the information with the maximum expected number of poster’s friends such that the information spread to the unwanted targets is brought to its knees. First, we consider a special and more practical case with the two-hop information propagation and a single unwanted target. In this case, we show that this problem is NP-hard, which denies the existence of an exact polynomial-time algorithm. We thus propose a Fully Polynomial-Time Approximation Scheme (FPTAS), which can not only adjust any allowable performance error bound but also run in polynomial time with both the input size and allowed error. FPTAS is the best approximation solution one can ever wish for an NP-hard problem. We next consider the number of unwanted targets is bounded and prove that there does not exist an FPTAS in this case. Instead, we design a Polynomial-Time Approximation Scheme (PTAS) in which the allowable error can also be controlled. When the number of unwanted targets are not bounded, we provide a randomized algorithm, along with the analytical theoretical bound and inapproximaibility result. Finally, we consider a general case with many hops information propagation and further show its #P-hardness and propose an effective Iterative Circle of Trust Detection (ICTD) algorithm based on a novel greedy function. An extensive experiment on various real-world OSNs has validated the effectiveness of our proposed approximation and ICTD algorithms. Such an extensive experiment also highlights several important observations on information leakage which help to sharpen the security of OSNs in the future.