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The starting vortex generated at the trailing edge of a flat plate, that is impulsively translated at fixed angle of attack, is a widely studied canonical problem. Recent work that examined the effect of plate rotation on this starting vortex found that two new and distinct vortex sheet types can arise. We generalise this work to study the starting vortex generated at any sharp and straight edge of an arbitrary body under a general time-dependent two-dimensional motion. The dimensionless velocity field of the attached flow near any sharp edge is assumed to take the form, $\hat {z}^{-1/2} f(T) + g(T) + o (1)$, where $\hat {z}$ is the dimensionless position referenced to the edge, $f(T)$ and $g(T)$ are functions of dimensionless time, $T$, associated with the local flow perpendicular and parallel to the edge, respectively. This enables starting vortices to be generally calculated and their types related by simply inspecting the forms of $f(T)$ and $g(T)$. We elucidate the physics underlying all three vortex types and show that these vortices are generated by pure translation of the sharp edge. Several case studies are explored, including the leading/trailing edge vortices of a flat plate which can simultaneously be of different type (relevant to low-speed aircraft), the vortex formed by translation of a semi-infinite flat plate and the trailing-edge vortex of Joukowski aerofoils. With the ability to calculate the vortices at all edges, the theory is used to develop a general formula for the lift force of a flat plate which can find application in practice.
A centralized authority with a monopoly of force is fundamental to eradicate war between states. Unfortunately, due to the outdated power structure of the Security Council, it has once again proven incapable of reacting, this time, to Russia’s full-scale invasion of Ukraine. Given the unprecedented potential that Russia’s unlawful use of force has of restructuring the international scene, this piece considers it crucial to adapt our international peacekeeping institutions to counter the emergence of a new disorderly and war-prone status quo. Thus, four legally and politically viable ways in which the international community can effectively express its outrage, avoid permanent member impunity, and reassert the United Nations’ legitimacy and relevance are proposed.
In this paper, I consider a peculiar feature of the aesthetics of collecting comics: collecting to complete a narrative. Unlike other forms of narrative engagement, comics are often read out of narrative sequence, and so collectors hunt for missing issues to fill in an incomplete story, leading to a “gappy” experience of the narrative. This “gappy” experience, I argue, has its own aesthetic quality and value, and I connect my analysis of the experience to both classical Kantian aesthetics and contemporary neuropsychology.
Is Hannah Arendt's political thought relevant to the contemporary planetary situation? This article draws on The Human Condition and some of Arendt's ancient and modern sources to answer this question, using a phenomenological distinction between outdoors and indoors to make sense of three likely types of artificial adaptation to a warming planet. Arendt's account of the importance of the “body-bound senses” of an “earth-bound creature” need not result in the problematic fetishization of immediate rather than mediated knowledge, or of an “earthly nature” supposedly prior to and independent of the human artifice, but can draw attention to the narrowing of human beings’ “angle of receptivity” to a surprising and unpredictable reality. This perspective, however, also discloses the limits of Arendt's work in the face of ecological transformations that are simultaneously planetary in scale and highly unequal in their consequences.
A healthcare-associated group A Streptococcus outbreak involving six patients, four healthcare workers, and one household contact occurred in the labor and delivery unit of an academic medical center. Isolates were highly related by whole genome sequencing. Infection prevention measures, healthcare worker screening, and chemoprophylaxis of those colonized halted further transmission.
Although the practice of human sacrifice in the British Iron Age is mentioned by multiple authors, both ancient and modern, physical proof of such activity in the archaeological record is comparatively rare. At Winterborne Kingston, in Dorset, the skeletal remains of a young adult female found face down near the base of a cylindrical storage pit provides clear evidence of violent death in the later Iron Age. Analysis of the skeleton suggests an individual who led a hard-working life and who, having suffered an act of violence a few weeks before death, was killed, possibly with her hands tied, by a blade incision to the neck. Placement of the body further suggests that killing was enacted within the pit, execution as spectacle forming the final act in a larger ceremony involving the creation of an animal bone stack or platform.
Two scholarly communities work on global trade and investment governance yet communicate little with each other. On the one hand, classic trade and investment scholarship focuses on states' foreign economic policies, trade and investment treaty programs, and participation in the World Trade Organisation. On the other hand, scholars of private and commercial law study how businesses draft and enforce the international contracts of a private law nature that ultimately constitute international trade and investment transactions. This research note seeks to raise awareness for this bifurcation of research on global trade and investment, develops a conceptual framework to better understand the role of private law in shaping trade and investment flows, and proposes a research agenda anchored in economics, political economy, and political science to advance our understanding of the role of private law in global trade and investment transactions and governance.
We construct a flat model structure on the category ${_{\mathcal {Q},\,R}\mathsf {Mod}}$ of additive functors from a small preadditive category $\mathcal {Q}$ satisfying certain conditions to the module category ${_{R}\mathsf {Mod}}$ over an associative ring $R$, whose homotopy category is the $\mathcal {Q}$-shaped derived category introduced by Holm and Jørgensen. Moreover, we prove that for an arbitrary associative ring $R$, an object in ${_{\mathcal {Q},\,R}\mathsf {Mod}}$ is Gorenstein projective (resp., Gorenstein injective, Gorenstein flat, projective coresolving Gorenstein flat) if and only if so is its value on each object of $\mathcal {Q}$, and hence improve a result by Dell'Ambrogio, Stevenson and Šťovíček.
The impetus for this study was a review of the Society for American Archaeology (SAA) 86th Annual Meeting program in 2021. Finding that no single poster or presentation referenced looting or antiquities trafficking despite these issues being ethical considerations that all SAA members are expected to recognize, we sought to investigate whether this was an irregularity – perhaps due to the virtual format of the meeting – or whether it was more common than not. For a broader understanding of if, how, and where these topics are discussed by archaeologists outside of the SAA, we expanded the investigation and studied the archives of 14 other archaeological and anthropological conferences. The results of the study show that despite there being an overall increase in mentioning looting and antiquities trafficking at conferences, it remains a niche and infrequently discussed topic.1
According to relational egalitarianism, justice requires equal relations. In this paper, I ask the question: can equal relations be unjust according to relational egalitarianism? I argue that while on some conceptions of relational egalitarianism, equal relations cannot be unjust, there are conceptions in which equal relations can be unjust. Surprisingly, whether equal relations can be unjust cuts across the distinction between responsibility-sensitive and non-responsibility-sensitive conceptions of relational egalitarianism. I then show what follows if one accepts a conception in which equal relations can be unjust, including why it provides a reason to grant some people less political power than others.
Recently, there has been growing interest in the concept of political anxiety. One important question that remains unanswered is whether political anxiety is just a symptom of general anxiety—that those reporting anxiety tied to politics are the same individuals who would already score highly on measures of general anxiety. Using survey data collected in 2023 (N = 436), we find that measures of political and generalized anxiety do not appear to be tapping into a single underlying construct. In addition, the systematic correlates of these measures identified by previous literature are not equivalent predictors of the different types of anxiety. Politics seems to be a source of apprehensiveness and worry that affects individuals who are not necessarily suffering from general anxiety.
In this paper, we establish the sharp asymptotic decay of positive solutions of the Yamabe type equation $\mathcal {L}_s u=u^{\frac {Q+2s}{Q-2s}}$ in a homogeneous Lie group, where $\mathcal {L}_s$ represents a suitable pseudodifferential operator modelled on a class of nonlocal operators arising in conformal CR geometry.
Multimorbidity, the existence of two or more concurrent chronic conditions in a single individual, represents a major global health challenge. The Nutrition Society’s 2023 Winter Conference at the Royal Society, London focused on the topic of ‘Diet and lifestyle strategies for prevention and management of multimorbidity’, with symposia designed to explore pathways for prevention of multimorbidity across the lifecourse, the role of ageing, the gut-brain-heart connection and lifestyle strategies for prevention and management of multimorbidity. It also considered machine learning and precision nutrition approaches for addressing research challenges in multimorbidity. The opening plenary lecture discussed advancing diet and lifestyle research to address the increasing burden and complexity of multimorbidity. The two-day programme concluded with a plenary which addressed the key dietary risk factors and policies in multimorbidity prevention.
We use potential analysis to study the properties of positive solutions of a discrete Wolff-type equation
$$ \begin{align*} w(i)=W_{\beta,\gamma}(w^q)(i), \quad i \in \mathbb{Z}^n. \end{align*} $$
Here, $n \geq 1$, $\min \{q,\beta \}>0$, $1<\gamma \leq 2$ and $\beta \gamma <n$. Such an equation can be used to study nonlinear problems on graphs appearing in the study of crystal lattices, neural networks and other discrete models. We use the method of regularity lifting to obtain an optimal summability of positive solutions of the equation. From this result, we obtain the decay rate of $w(i)$ when $|i| \to \infty $.