Randolph College

Free fermion vertex superalgebras are discussed from the point of view of Urod vertex algebras [T. Arakawa, T. Creutzig and B. Feigin, Urod algebras and translation of [Formula: see text]-algebras, Forum Mathematics Sigma, Vol. 10 (Cambridge University Press, 2022) and M. Bershtein, B. Feigin and A. Litvinov, Coupling of two conformal field theories and Nakajima–Yoshioka blow-up equations, preprint (2013), arXiv:1310.7281]. We present all finite decompositions of the [Formula: see text]-fermion vertex algebra via Virasoro and [Formula: see text] superconformal vertex algebras. We also present decompositions of higher rank fermion algebras using affine [Formula: see text]-algebras, and a conjecture on the existence of the “square root” of the [Formula: see text] fermion algebra.

<div>Abstract<p><b>Purpose:</b> It is a critical challenge to determine the risk of recurrence in early stage non–small cell lung cancer (NSCLC) patients. Accurate gene expression signatures are needed to classify patients into high- and low-risk groups to improve the selection of patients for adjuvant therapy.</p><p><b>Experimental Design:</b> Multiple published microarray data sets were used to evaluate our previously identified lung cancer prognostic gene signature. Expression of the signature genes was further validated with real-time reverse transcription-PCR and Western blot assays of snap-frozen lung cancer tumor tissues.</p><p><b>Results:</b> Our previously identified 35-gene signature stratified 264 patients with NSCLC into high- and low-risk groups with distinct overall survival rates (<i>P</i> < 0.05, Kaplan-Meier analysis, log-rank tests). The 35-gene signature further stratified patients with clinical stage 1A diseases into poor prognostic and good prognostic subgroups (<i>P</i> = 0.0007, Kaplan-Meier analysis, log-rank tests). This signature is independent of other prognostic factors for NSCLC, including age, sex, tumor differentiation, tumor grade, and tumor stage. The expression of the signature genes was validated with real-time reverse transcription-PCR analysis of lung cancer tumor specimens. Protein expression of two signature genes, <i>TAL2</i> and <i>ILF3</i>, was confirmed in lung adenocarcinoma tumors by using Western blot analysis. These two biomarkers showed correlated mRNA and protein overexpression in lung cancer development and progression.</p><p><b>Conclusions:</b> The results indicate that the identified 35-gene signature is an accurate predictor of survival in NSCLC. It provides independent prognostic information in addition to traditional clinicopathologic criteria.</p></div>

As we celebrate the centenary of John Maynard Keynes’s Treatise on Probability (1921), we are still faced with unresolved, fundamental questions about his foray into the philosophy of probability. One of these unresolved questions concerns whether Keynes (1931) later changed his mind in response to intense criticism from Frank Ramsey (1922,1931) and abandoned the logical theory of probability. The purpose of this essay is to argue that Ramsey had an even wider influence on Keynes’s work than has been recognized, and that this influence was not just on his philosophy of probability, but also on his economics. Understood in this fuller context, it seems even more clear that Keynes embraced and built upon Ramsey’s subjective theory of probability in The General Theory of Employment, Interest, and Money (1936).

Bir Messaouda at Carthage: a 6th-c. basilica tells a story of urban renewal and sectarian reconciliation - R. MILES, and S. GREENSLADE. 2020. The Bir Messaouda Basilica. Pilgrimage and the Transformation of an Urban Landscape in Sixth-Century AD Carthage. Pp. 397 + 32 color plates. Oxford and Philadelphia: Oxbow. ISBN 978-1-78570-680-6.

Induction of labor is an increasingly common component of intrapartum care in the United States. This rise is fueled by a nationwide escalation in both medically indicated and elective inductions at or beyond term, supported by recent research showing some benefits of induction over expectant management. However, induction of labor medicalizes the birth experience and may lead to a complex cascade of interventions. The purpose of this Clinical Bulletin is twofold: (1) to guide clinicians on the use of person-centered decision-making when discussing induction of labor and (2) to review evidence-based practice recommendations for intrapartum midwifery care during labor induction.

Abstract Rainwater harvesting systems are decentralized water solutions that involve capturing rainwater, typically from an impervious surface such as a rooftop, and storing it for selected uses. Rainwater harvesting systems can be used to meet water conservation and stormwater management objectives and may also represent a less energy intensive water source. This chapter includes an analysis of the available literature to identify key features such as frequency and consistency of water use and appropriate tank sizing that maximize the potable water use reduction, financial savings, and environmental benefits of rainwater harvesting systems. Case studies of rainwater harvesting systems, such as a commercial system where rainwater is used for potable purposes, a residential community which incorporates rainwater harvesting and on-site wastewater treatment, and rainwater use on a university campus are presented to highlight key features of rainwater harvesting systems. The review of the literature and the case studies reveal that to realize the full benefits of these systems, one must: maximize and diversify water uses, optimize the design, integrate RWH into an overall sustainable water management plan, and ensure that rainwater harvesting is compared to viable site options as opposed to idealized alternatives.KeywordsRainwater harvestingWater supplyStormwater managementGreen infrastructurePayback period

Research has shown that musical engagement promotes prosocial behavior in preschool-aged children under some conditions but not others. The current study tested whether an active musical interaction between a preschooler ( Mage: 56 months), an experimenter, and a research assistant would result in more sharing and helping behavior than a matched, non-musical interaction, while examining the extent to which a naturalistic musical interaction actually produced interpersonal movement synchrony. Verbal content was also manipulated (didactic/neutral). The results showed that musical play was associated with more spontaneous helping and overall sharing than non-musical play. Analysis of synchrony and joint movement within the experimental interaction showed that musical play resulted in significantly more joint movement and interpersonal synchrony than non-musical play, but that even in musical conditions, joint movement was only synchronized for a fraction of the length of the interaction. There was no evidence of an effect of verbal content on children’s behavior, despite uniformly high retention for the content of the song or poem across conditions. These findings provide further evidence that music making can facilitate prosocial behavior in preschoolers, regardless of lyrical content, and that joint movement may play a more significant role than precise movement synchrony in preschoolers’ musical engagement.