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This book comes in two parts; the first, consisting of §§1–7, offers an informal axiomatic introduction to the basics of set theory, including a thorough discussion of the axiom of choice and some of its equivalents. The second part, consisting of §§8–14, is written at a somewhat more advanced level, and treats selected topics in transfinite algebra; that is, algebraic themes where the axiom of choice, in one form or another, is useful or even indispensable.
In countries like Nigeria where the preference is for the male child, female doctors face distinct challenges regarding sexual harassment. Female doctors are likely to experience career consequences if they share their experiences, yet they want to speak out to avoid others from having to experience the same types of abuse from senior colleagues.
This chapter outlines the ongoing oppression faced by female doctors in Nigeria. The case study outlines the escalating harassment and abuse of a female surgical trainee, and the insidious abuse of authority by a senior male doctor. The case demonstrates the betrayal the woman doctor experiences when others support the abusive senior male surgeon: the report of harassment is poorly managed, with the target being asked to apologise. This chapter outlines the tangible consequences of those who dare to speak out and voice concerns about their mistreatment in this context and shows the impact of poorly managed harassment, on the lives and careers of women doctors in Nigeria.
Variational data assimilation and machine-learning based super-resolution are two alternative approaches to state estimation in turbulent flows. The former is an optimisation problem featuring a time series of coarse observations, the latter usually requires a library of high-resolution ‘ground truth’ data. We show that the classic ‘4DVar’ data assimilation algorithm can be used to train neural networks for super-resolution in three-dimensional isotropic turbulence without the need for high-resolution reference data. To do this, we adapt a pseudo-spectral version of the fully differentiable JAX-CFD solver (Kochkov et al., Proc. Natl Acad. Sci. USA, vol. 118, issue 21, 2021, e2101784118) to three-dimensional flows and combine it with a convolutional neural network for super-resolution. As a result, we are able to include entire trajectories in our loss function, which is minimised with gradient-based optimisation to define the neural network weights. We show that the resulting neural networks outperform 4DVar for state estimation at initial time over a wide variety of metrics, though 4DVar leads to more robust predictions towards the end of its assimilation window. We also present a hybrid approach in which the trained neural network output is used to initialise 4DVar. The resulting performance is more than twice as accurate as other state estimation strategies for all times and performs well even beyond known limiting length scales, all without requiring access to high-resolution measurements at any point.
Edited by
Liz McDonald, East London NHS Foundation Trust,Roch Cantwell, Perinatal Mental Health Service and West of Scotland Mother & Baby Unit,Ian Jones, Cardiff University
Millions of women and girls worldwide experience violence. Violence against women and girls takes many forms, including physical, emotional and sexual violence and abuse, which is associated with a range of adverse impacts on women, their families and society as a whole. Health professionals supporting women during the perinatal period should assess the risks posed by exposure to previous or current violence and how this may affect them during pregnancy. As an important risk factor in a woman’s mental health presentation, psychiatrists working with pregnant and postpartum women should consider the presence of violence in their formulation; it can increase the risk of anxiety, depression and post-traumatic stress disorder (PTSD). Domestic violence and abuse increase the risk of domestic homicide and may play a role in many perinatal suicides. Sensitive assessment and effective management of women exposed to violence can improve engagement with mental health services and response to treatment.
This chapter introduces the potential legal consequences of occupational sexual harm of medical practitioners by medical practitioners, and outlines some of the reasons for non-reporting in the criminal context. The challenges of reporting of sexual harm in the workplace are discussed and followed by three illustrative case studies from Australia one from a criminal court, one from a civil court and one case brought by the Medical Board to the Administrative Appeals Tribunal. The chapter concludes with the recognition that complex structural and cultural environments exist which deter some victims from pursuing legal redress and can inadvertently harm those who do pursue it. Solutions are not simple or easy and, irrespective of the prevalence of occupational sexual harm, pursuit of legal claims is likely to remain low due to the personal and professional risks a complainant endures.
In 1962, John F. Kennedy proposed withholding for taxes on dividends and interest to close the large gap between dividends and interest paid and reported. Despite the familiarity with wage withholding, the proposal encountered an enormous wave of public opposition, generating one of the most significant letter-writing campaign ever mounted. Congress relented and stripped the dividend and interest withholding provision from the bill in favor of new information reporting requirements. Why did dividend and interest withholding generate such a populist revolt? In part, the populism on this issue was manufactured by the business community. Banks and corporations mobilized their depositors and investors to contact their congressmen to protest the proposal. This is only part of the story, however. The industry-led campaign struck a chord with taxpayers who had become disaffected by the special tax preferences and shelters enjoyed by high bracket taxpayers. They viewed omitting dividends and interest as their form of self-help, while others were indignant that Congress would attack tax evasion by going after them before solving high-end tax evasion first.
This concluding chapter puts land at the heart of the “China model,” linking legal, fiscal, financial, and political features of the system to explain the roots of China’s contemporary economic challenges, including the real estate crisis, land-backed debt, and abortive property tax initiative. It also extends the theory beyond the Chinese case in three ways. First, it revisits the paradigmatic case of post–Glorious Revolution England in light of China’s experience, suggesting that, in the context of technological change, property rights over land were less secure and governance less democratic in the early eighteenth century than presented in some of the development literature. Second, it examines the relationship between the ease or difficulty of using law to reassign land rights and promotion of transformative economic growth in the case of contemporary India. These comparisons point to the significance of regime type—authoritarian vs. democratic. Regime type shapes the ease with which the state can reassign land rights and how the state manages the conflict that results from the redefinition of property rights. Third, the chapter examines the redefinition of property rights over personal data as a driver of growth in the new information economy as well as a new source of conflict.
This chapter theorises ethnicity as a mode of thought and identification around which ways of being, acting and relating are organised. It is one among many possible anchors for identification, solidarity and difference, though it is the most prominent in Kenya. I discuss how this became so, describing identity and community before colonialism, and offering a history of how ethnicity organised social life under and after colonial rule, especially around elections. I provide a sketch of varied ethnic identifications in Kenya, demonstrating immense variety, not all of which obviously fit an ethnic framework, and many of which entail politics quite different from the ‘big 5’ which dominate studies of elections. Finally, I situate the case of Kenya in a comparative context, highlighting key features of how ethnic classification has operated in Kenya, including reification, colonial penetration, nationhood, demography, and differences between direct and diffuse effects of identification. This section shows that both ethnicity and its classification can be conducive to pluralism and solidarity in Kenya, but perhaps not in other contexts.
Edited by
Liz McDonald, East London NHS Foundation Trust,Roch Cantwell, Perinatal Mental Health Service and West of Scotland Mother & Baby Unit,Ian Jones, Cardiff University
Chapter 3 (The Second Temple/Tannaitic Portrayal of Transgressive Worship): In this chapter, I focus on Jewish texts from the mid to late Second Temple period and the tannaitic period (i.e. from around the end of the third century BCE to around the third century CE). I argue that texts from this period frequently portray the worship of other gods and the reverence of their icons as insincere, and I present a taxonomy of different ways in which such a portrayal manifests itself within this literature.
Our next aim is to extend the results of Chapter 2 and introduce a notion of weak solution to gradient flows in metric measure spaces in a fairly general setting. Our main assumption is that the functional only depends on the differential of a function. In particular, this setting covers the case when the functional only depends on the function through its minimal p-weak upper gradient. In this entire chapter, we assume that p > 1 and that we work with a convex and lower semicontinuous functional defined on L2, which is given by a composition of the differential and a non-negative, continuous, convex, and coercive functional defined on the cotangent space. We first present the general framework under the minimal structural assumptions described above. Then, we apply the newly developed techniques to study a specific functional with inhomogeneous growth, which is the sum of two Cheeger energies for different exponents.