Maximally even sets and configurations: common threads in mathematics,physics, and music

Convex (concave) interaction weighting functions are combined with circular configurations of black and white sites to determine configurations that have minimum (maximum) weight. These configurations are called maximally even configurations. It is shown that for a given number of black and white sites, all maximally even configurations are equivalent under rotation and reflection, and a simple algorithm is constructed that generates these configurations. A number of equivalent conditions that determine a maximally even configuration are established. These equivalent conditions permit maximally even configurations to apply to a number of seemingly disparate problems including the dinner table and concentric circles problems, the one-dimensional antiferromagnetic Ising model, and musical scales. This paper is dedicated to the memory of John Clough (1928–2003). Without his seminal works in music theory and patient encouragement of others, this work and much of the work referenced herein would never have been started, much less completed. The field of mathematical music theory owes a great debt to John Clough. The authors are privileged to have known and worked with John Clough.     

The Professionalization of Medical Students: Developing Competence And A Cloak of Competence*

This paper describes how medical students in an innovative educational setting adopt a cloak of competence as a critical part of the professionalization process. Faced with inordinate and variable expectations to develop and display competence, students professionalize by distancing themselves from those they interact with and by adopting and manipulating the symbols of their new status. Students were observed to engage in impression management to convince others and themselves that they are competent and confident to face the immense responsibilities of their privileged role. The data were collected by means of participant observation and interviews.     

Competing commitments: Unanticipated problems of field research

This paper examines the central problems that affected a team research effort in a study of professional socialization. The researchers draw the reader's attention to the unanticipated difficulties they encountered in conducting the research—difficulties which, they suspect, are widely shared, but infrequently reported, in the discipline. The authors focus the analysis and discussion around the theme of competing commitments which affected the pace and direction of the research and created strains in team relations, leading eventually to the reconstitution of the team.     

Effect of Climate Change on the Concentration and Associated Risks of Vibrio Spp. in Dutch Recreational Waters

Currently, the number of reported cases of recreational‐ water‐related Vibrio illness in the Netherlands is low. However, a notable higher incidence of Vibrio infections has been observed in warm summers. In the future, such warm summers are expected to occur more often, resulting in enhanced water temperatures favoring Vibrio growth. Quantitative information on the increase in concentration of Vibrio spp. in recreational water under climate change scenarios is lacking. In this study, data on occurrence of Vibrio spp. at six different bathing sites in the Netherlands (2009–2012) were used to derive an empirical formula to predict the Vibrio concentration as a function of temperature, salinity, and pH. This formula was used to predict the effects of increased temperatures in climate change scenarios on Vibrio concentrations. For Vibrio parahaemolyticus, changes in illness risks associated with the changed concentrations were calculated as well. For an average temperature increase of 3.7 °C, these illness risks were calculated to be two to three times higher than in the current situation. Current illness risks were, varying per location, on average between 10^?4 and 10^?2 per person for an entire summer. In situations where water temperatures reached maximum values, illness risks are estimated to be up to 10^?2 and 10^?1. If such extreme situations occur more often during future summers, increased numbers of ill bathers or bathing‐water‐related illness outbreaks may be expected.     

Testing hypotheses about medical test accuracy: considerations for design and inference

Developing new medical tests and identifying single biomarkers or panels of biomarkers with superior accuracy over existing classifiers promotes lifelong health of individuals and populations. Before a medical test can be routinely used in clinical practice, its accuracy within diseased and non-diseased populations must be rigorously evaluated. We introduce a method for sample size determination for studies designed to test hypotheses about medical test or biomarker sensitivity and specificity. We show how a sample size can be determined to guard against making type I and/or type II errors by calculating Bayes factors from multiple data sets simulated under null and/or alternative models. The approach can be implemented across a variety of study designs, including investigations into one test or two conditionally independent or dependent tests. We focus on a general setting that involves non-identifiable models for data when true disease status is unavailable due to the nonexistence of or undesirable side effects from a perfectly accurate (i.e. ‘gold standard’) test; special cases of the general method apply to identifiable models with or without gold-standard data. Calculation of Bayes factors is performed by incorporating prior information for model parameters (e.g. sensitivity, specificity, and disease prevalence) and augmenting the observed test-outcome data with unobserved latent data on disease status to facilitate Gibbs sampling from posterior distributions. We illustrate our methods using a thorough simulation study and an application to toxoplasmosis.     

Resilient product and production adaptation in a large-scale disaster: Does it pay off?

Pandemic outbreaks can disrupt firms’ normal operations, so they demand a resilient response. Firms can combine social responsibility initiatives with resilient responses by reconfiguring their production resources for pandemic relief. It remains unclear, however, whether pandemic-relieving product adaptation (in short, PRPA) improves financial performance. We draw on stakeholder theory to analyze the effect of a PRPA strategy on the stock returns of US-listed manufacturing firms during the COVID-19 pandemic—the most enduring and large-scale pandemic in recent history. The results reveal that the stock market reacts more positively to PRPA under severe pandemic circumstances and for firms with low political connectedness, low media coverage, and/or more unique production technology. The findings offer important implications for operations theory and practice.     

Critical Turns in the Evolution of Diversity Management

This paper seeks to extend and invigorate existing critiques of the aims and claims of diversity management. Four overlapping turns – demographic, political, economic and critical – akin to the broader and critical 'turns' in the humanities and social sciences are identified. When existing critiques are reconsidered through the framework offered by these four turns, then diversity management can be seen to: perpetuate rather than combat inequalities in the workplace; diminish the legacy of discrimination against historically repressed minorities in the workplace; continue to prescribe essentialist categories of difference and present problematic dualisms for effecting organizational change.