We derive and analyse well-posed boundary conditions for the linear shallow water wave equation. The analysis is based on the energy method and it identifies the number, location and form of the boundary conditions so that the initial boundary value problem is well-posed. A finite-volume method is developed based on the summation-by-parts framework with the boundary conditions implemented weakly using penalties. Stability is proven by deriving a discrete energy estimate analogous to the continuous estimate. The continuous and discrete analysis covers all flow regimes. Numerical experiments are presented verifying the analysis.

Phonological processes tend to involve local dependencies, an observation that has been expressed explicitly or implicitly in many phonological theories, such as the use of minimal symbols in SPE and the inclusion of primarily strictly local constraints in Optimality Theory. I propose a learning-based account of local phonological processes, providing an explicit computational model. The model is grounded in experimental results that suggest children are initially insensitive to long-distance dependencies and that as their ability to track non-adjacent dependencies grows, learners still prefer local generalisations to non-local ones. The model encodes these results by constructing phonological processes starting around an alternating segment and expanding outward to incorporate more phonological context only when surface forms cannot be predicted with sufficient accuracy. The model successfully constructs local phonological generalisations and exhibits the same preference for local patterns that humans do, suggesting that locality can emerge as a computational consequence of a simple learning procedure.

This article analyses the endogenous choice of farmers to be organic or conventional in a groundwater evolutionary model when a tax on fertiliser on conventional farmers is implemented by a regulatory agency. The analysis of the model shows that the coexistence of both type of farmers only occurs when the decrease in productivity due to organic production is relatively low and the price premium for organic products is relatively high. However, even if conversion is welfare improving, our results show that this conversion may be done at the expense of the water resource with a lower water table. An application to the Western la Mancha aquifer (Spain) illustrates the main results.

This article investigates dictionary usage with Year 7 students of Latin. During my lesson observations I noticed how much students relied on looking up words in the dictionary when working on translation from Latin to English. I wanted to find out if there was the potential for a more interactive and/or memorable way for students to work with their dictionaries. This action research project was carried out in an all-boys, secondary, selective school. I noticed that when students were set to work on translation from Latin to English, they spent a significant amount of time looking up words in the dictionary at the back of the booklet. Often by the time they had looked up the word in question and then turned back to the translation, they had already forgotten the meaning of the word they had looked up. Additionally, the words they were looking for were words that they had already encountered several times but forgotten the meaning of since the last time they had looked it up or seen it. The research confirmed that merely copying the words that students looked up down multiple times helped them recall the vocabulary better than if they simply looked the words up.

Control over the legislative messaging agenda has important political, electoral and policy consequences. Existing models of congressional agenda-setting suggest that national polarization drives the agenda. At the same time, models of home style and formal models of leadership hypothesize that legislators shift their messaging as they balance coordination and information problems. We say the coordination problem dominates when conditions incentivize legislators to agree on the same message rather than fail to reach consensus. Conversely, the information problem is said to dominate in circumstances where legislators prefer to say nothing at all rather than reach consensus on the wrong political message. Formal theories predict that when coordination problems are pressing, legislative members follow the policy positions of party leaders. When their party’s information problem is acute, party members instead rely on the wisdom of the caucus to set the party’s agenda. To test these theories, we analyze the Twitter accounts of U.S. House members with a Joint Sentiment Topic model, generating a new understanding of House leadership power. Our analyses reveal complex leader-follower relationships. Party leaders possess the power to substantially affect the propensity of rank-and-file members to discuss topics, especially when the coordination problem dominates; these effects are pronounced even when coordination problems are pressing. That said, when the underlying politics are unclear, rank-and-file members exert influence on the discussion of a topic because the information problem is more acute. At the same time and for these uncertain topics, leadership influence decreases, consistent with theory. We show these results are robust to the underlying dynamics of contemporary political discussion and context, including leading explanations for party leadership power, such as national polarization.

Game riskiness is an index to describe the variance of outcomes of choosing cooperation relative to that of choosing defection in prisoner’s dilemmas (PD). When the variance of cooperation is larger (smaller) than that of defection, the PD is labeled as a more-risky PD (less-risky PD). This article extends the previous work on game riskiness by examining its moderating role on the effect of expectation on cooperation under various PDs. We found across three studies that game riskiness moderated the effect of expectation on cooperation such that the effect of expectation on cooperation was larger in more-risky PDs than in less-risky counterparts. This effect was observed in N-person PD (Study 1), PD presented in both gain and loss domains (Study 2), and PD where expectation was manipulated instead of measured (Study 3). Furthermore, we found that participants cooperated more in PDs presented in the gain domain compared to those presented in the loss domain, and this effect was again moderated by game riskiness. In addition, we illustrated mathematically that game riskiness is related to other established indices of PD, including the index of cooperation, fear index, and greed index. This article identified game riskiness as a robust situational factor that can impact decisions in social dilemmas. It also provided insights into the underlying motivations of cooperation and defection under different expectations and how game riskiness can be utilized in cooperation research.

Migrants and refugees face elevated risks for mental health problems but have limited access to services. This study compared two strategies for training and supervising nonspecialists to deliver a scalable psychological intervention, Group Problem Management Plus (gPM+), in northern Colombia. Adult women who reported elevated psychological distress and functional impairment were randomized to receive gPM+ delivered by nonspecialists who received training and supervision by: 1) a psychologist (specialized technical support); or 2) a nonspecialist who had been trained as a trainer/supervisor (nonspecialized technical support). We examined effectiveness and implementation outcomes using a mixed-methods approach. Thirteen nonspecialists were trained as gPM+ facilitators and three were trained-as-trainers. We enrolled 128 women to participate in gPM+ across the two conditions. Intervention attendance was higher in the specialized technical support condition. The nonspecialized technical support condition demonstrated higher fidelity to gPM+ and lower cost of implementation. Other indicators of effectiveness, adoption and implementation were comparable between the two implementation strategies. These results suggest it is feasible to implement mental health interventions, like gPM+, using lower-resource, community-embedded task sharing models, while maintaining safety and fidelity. Further evidence from fully powered trials is needed to make definitive conclusions about the relative cost of these implementation strategies.

The European Legal order, created by the European Court of Justice [ECJ], is an astonishingly effective treaty enforcement system. Previous explanations of its ‘transnational’ or ‘constitutional’ development have focused on the politics of judicial networks, and the wider political and economic context of postwar European democracy. Judicial biography has been almost entirely overlooked, even in the case of Robert Lecourt, widely acknowledged as the leading judge in the Court’s revolutionary period. Unknown to research on the ECJ, however, Lecourt had already spearheaded the adoption of the famous Article 49-3 of France’s 1958 Constitution. This paper demonstrates that the constitutional doctrines of European law and Article 49-3 were in fact premised on a similar ideology, that the pursuit of ‘effectiveness’ may require unprecedented restrictions on the traditional law-making role of national parliaments. Those were the constitutional values of the judge that, more than any other, built the foundations of the European legal order.

We study the $L^p$ regularity of the Bergman projection P over the symmetrized polydisc in $\mathbb C^n$. We give a decomposition of the Bergman projection on the polydisc and obtain an operator equivalent to the Bergman projection over antisymmetric function spaces. Using it, we obtain the $L^p$ irregularity of P for $p=\frac {2n}{n-1}$ which also implies that P is $L^p$ bounded if and only if $p\in (\frac {2n}{n+1},\frac {2n}{n-1})$.

In this paper, we develop a framework for studying the role of group identities in contemporary cleavage formation. Identities, we suggest, hold the key to a central conundrum of current political sociology: the fact that today’s electoral realignments appear to be rooted in the social structure of post-industrial societies, while the decline of mass organizations has dissolved traditional links between politics and social structure. Bringing cleavage theory into dialog with the sociology of Pierre Bourdieu, we theorize how group identities may play an important role in stabilizing a new universalism-particularism cleavage emerging in Western Europe today. We identify two key processes of cleavage identity formation: bottom-up processes of “social closure” and top-down “classification struggles” waged by political entrepreneurs. For both processes, we review empirical findings and formulate an agenda for further research.

Emotional prototypicality (EmoPro) quantifies the extent to which an emotion-label word represents emotion concepts. While previous research demonstrated faster recognition for high EmoPro words than low EmoPro words in Spanish, the modulation of EmoPro on emotion word recognition in other languages and its dependence on task demands remain unclear. This study employed both the lexical decision task (Experiment 1) and the valence judgment task (Experiment 2) to investigate the EmoPro effect among Chinese speakers. The results not only confirmed the role of EmoPro in Chinese emotion word recognition, supporting the prototype theory of emotion concepts, but also highlighted that the EmoPro effect was more pronounced in the valence judgment task (an explicit emotion task) than in the lexical decision task (an implicit emotion task). This suggests that EmoPro is associated with the ease of accessing emotion concepts and serves as an affective-semantic variable.

Creating a sustainable residency research program is necessary to develop a sustainable research pipeline, as highlighted by the recent Society for Academic Emergency Medicine 2024 Consensus Conference. We sought to describe the implementation of a novel, immersive research program for first-year emergency medicine residents. We describe the curriculum development, rationale, implementation process, and lessons learned from the implementation of a year-long research curriculum for first-year residents. We further evaluated resident perception of confidence in research methodology, interest in research, and the importance of their research experience through a 32-item survey. In two cohorts, 25 first-year residents completed the program. All residents met their scholarly project requirements by the end of their first year. Two conference abstracts and one peer-reviewed publication were accepted for publication, and one is currently under review. Survey responses indicated that there was an increase in residents’ perceived confidence in research methodology, but this was limited by the small sample size. In summary, this novel resident research curriculum demonstrated a standardized, reproducible, and sustainable approach to provide residents with an immersive research program.

I have written this article primarily as an overview for students who are studying Greek at A level and beyond; it may also be useful for their teachers. It covers the period from the Archaic age up to the beginning of Medieval Greek (c. 750 BCE to 500 CE). There is an emphasis on Classical Greek both within and beyond the Classical period, since the Classical form, or approximations to it, has never ceased to be learned, the only form of Greek of which this can be said. It has also left a sizeable imprint on Modern Greek, especially but not exclusively on its more educated forms. I hope though that the article will serve to draw the users’ attention to the many other forms of the language apart from Classical Greek. I know that I could have done with something like this when I was a student: I was hardly aware of the existence of the κοινή, except perhaps as a form of Greek used by Christian writers long after the end of the Classical period.

Major depressive disorder is one of the most common serious illnesses worldwide; the disease is also among those with the lowest rates of treatment. Barriers to access to care, both practical and psychological, contribute significantly to these low treatment rates. Among such barriers are regulations in many nations that require a physician’s prescription for most pharmacological treatments including selective serotonin reuptake inhibitors (SSRIs). These rules are designed to protect patients. However, such regulations involve a tradeoff between the welfare of “visible” victims, who might suffer negative consequences from a lack of regulation, and the well-being of invisible “victims,” who likely experience negative consequences that result from increased barriers to care. This article explores these tradeoffs and argues in favor of shifting SSRIs from prescription-only to over-the-counter status.