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    Gurdjieff, the New Age Movement and the Guru field:Making sense of multiple entanglements

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    A Fisher-Rao Gradient Flow For Entropy-regularised Markov Decision Processes In Polish Spaces

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    We study the global convergence of a Fisher–Rao policy gradient flow for infinite-horizon entropy-regularised Markov decision processes with Polish state and action spaces. The flow is a continuous-time analogue of a policy mirror descent method. We establish the global well-posedness of the gradient flow and demonstrate its exponential convergence to the optimal policy. Moreover, we prove the flow is stable with respect to gradient evaluation, offering insights into the performance of a natural policy gradient flow with log-linear policy parameterisation. To overcome challenges stemming from the lack of the convexity of the objective function and the discontinuity arising from the entropy regulariser, we leverage the performance difference lemma and the duality relationship between the gradient and mirror descent flows. Our analysis provides a theoretical foundation for developing various discrete policy gradient algorithms.</p

    History, Identity, and Ownership in Mathematics

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    Expanded text of lectures at the congress of the Pacific Rims Mathematics Association in Vancouver (December, 2022), the Topos Institute (November, 2023), the meeting of the European Research Centres of Mathematics in Edinburgh (March, 2024), and the International Center for Theoretical Sciences in Bengaluru (September, 2024)

    The good and evil of algos:Investment-to-price sensitivity and the learning hypothesis

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    We investigate how firm managers’ learning from share prices is influenced by two different types of algorithmic trading (AT) activities in their shares. We find that liquidity-supplying AT enhances managers’ ability to learn from share prices by encouraging information acquisition in markets, leading to increased investment sensitivity to share prices. However, liquidity-demanding AT impairs this learning process by discouraging information acquisition. Firm operating performance correspondingly improves with liquidity-supplying AT and deteriorates with liquidity-demanding AT. To establish causality, we use NYSE’s Autoquote implementation as a source of exogenous variation in AT. Our findings demonstrate AT’s significant impact on real economic outcomes

    Ligand non-innocence and an unusual σ-bond metathesis step enables catalytic borylation using 9-borabicyclo-[3.3.1]-nonane

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    The metal-catalyzed intermolecular C-H borylation of arenes is an extremely powerful C-H functionalization methodology. However, to date it is effectively restricted to forming organo-boronate esters (Aryl-B(OR)2) with its application to form other organoboranes rarely explored. Herein, we report a catalytic intermolecular heteroarene C-H borylation method using the commercial hydroborane 9-borabicyclo-[3.3.1]-nonane, (H-BBN)2. This process is effective for mono- and di-borylation to form a range of heteroaryl-BBN compounds using either NacNacAl or NacNacZn (NacNac = {(2,6-iPr2C6H3)N(CH3)C}2CH) based catalysts. Notably, mechanistic studies indicated a highly unusual σ-bond metathesis process between NacNacZn-Aryl and the dimeric hydroborane, with first order kinetics in the hydroborane dimer ((H-BBN)2). Our calculated metathesis pathway involves ligand non-innocence and addition of both H-BBN units in (H-BBN)2 to the NacNacZn-heteroaryl complex. This is in contrast to the conventional σ-bond metathesis mechanism using other hydroboranes which invariably proceeds by reaction of one equivalent of a monomeric hydroborane (e.g., H-B(OR)2) with a M-C unit. Overall, this work demonstrates the potential of extending catalytic arene C-H borylation beyond boronate esters, while highlighting that the σ-bond metathesis reaction can be mechanistically more complex when utilizing dimeric hydroboranes such as (H-BBN)2,.</p

    Pharmacy Homeless Outreach Engagement Non-medical Independent Prescribing Rx (PHOENIx) community pharmacy-based pilot randomized controlled trial

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    Randomized controlled trials (RCTs) aiming to address the multiple health and social challenges of people experiencing homelessness (PEH) are lacking. Here we report the findings from a multicenter, open, pilot RCT. The intervention involved independent prescriber pharmacist from the National Health Service working on outreach in partnership with dedicated workers from Homeless Voluntary Charity or Social Enterprises (HVCSEs) (Pharmacist and third sector charity worker integrated Homeless Outreach Engagement Non-medical Independent prescriber Rx’-PHOENIx) in low threshold HVCSE venues or temporary accommodation addressing PEH participants’ health and wider needs through repeated outreach. The trial aimed to investigate whether sufficient numbers of participants could be recruited, retained, the intervention delivered as planned, and sufficient data collected to inform a subsequent definitive RCT. Clinical outcomes were also collected at follow-up (6 months). Participants were recruited from five community pharmacies and nearby venues in urban centers of Glasgow-Scotland and Birmingham-England, then randomized one-to-one into PHOENIx intervention in addition to usual care (UC) or UC only. A priori progression criteria were achieved: 55% of those assessed as eligible were recruited; at 6 months, 72% remained in the study, 91% had emergency department and mortality data available, and 72% completed questionnaire booklets. Fifty-three percent of participants received at least 50% of the planned PHOENIx intervention consultations (in-person or phone) at 6 months. Signs of improvement in clinical outcomes in the PHOENIx group included fewer ambulance call-outs, ED visits, and hospitalizations; higher outpatient attendances; and higher scores on self-reported health-related quality of life. A definitive RCT is merited.</p

    Prediabetes

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    Prediabetes or intermediate hyperglycaemia represents a preliminary stage in the development of type 2 diabetes mellitus (T2DM). In addition to an increased likelihood of developing T2DM, individuals with prediabetes have an elevated risk of various vascular and non-vascular complications. No consensus has been achieved on the ideal screening strategy for prediabetes, with fasting plasma glucose concentration, glycated haemoglobin (HbA1c) and the oral glucose tolerance test being the most frequently measured parameters. The two major phenotypes of prediabetes, that is, impaired fasting glucose and impaired glucose tolerance, may represent different pathophysiologies with varying natural history, risk of adverse outcomes and responsiveness to treatment. Most of the evidence for managing prediabetes focuses on lifestyle modification with or without medications in individuals with overweight or obesity and impaired glucose tolerance. Whether these interventions are beneficial in individuals with impaired fasting glucose and those of normal body weight is unclear, as is the cost-effectiveness and sustainability of pharmacotherapy for treating prediabetes. Large-scale national T2DM prevention programmes are currently under way to assess whether the benefits of interventions for prediabetes can be translated to the community setting.<br/

    Reading and empathy:Qualitative insights into adolescents' experiences with fiction books

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    Fiction books offer opportunities for readers to gain insight into fictional characters' perspectives, lives, and experiences, and in doing so, have the potential to support their empathy. This article provides novel insights from semi-structured interviews with 37 (27 female, 10 male, aged 12–14 years) regular readers of fiction from two high schools in Scotland. A data-driven inductive thematic analysis approach illustrated the cognitive and affective ways in which adolescents empathise with fictional characters; how feelings of empathy can transfer beyond fiction to real-life others; how feelings of empathy can personally enrich readers and support their social relationships; and how book content and writing style can facilitate readers' empathy. However, while many adolescent readers shared examples of how reading had supported their empathy, others did not, suggesting that adolescent readers' may read for different purposes. Implications for teachers, librarians and others interested in supporting adolescents' literacy practices, experiences and empathy are discussed, in addition to future research directions.</p

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