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The common law tradition has always been sceptical of philosophy, prioritising the importance of practical experience in real world cases over abstract general ideas. This article attempts to demonstrate how the ideas of two philosophers—Fuller and Wittgenstein—help to explain the widespread use of the notion of purpose in real world case law. Fuller’s conception of law as the enterprise of subjecting human conduct to the governance of rules illuminates the common law’s respect for the agency of legal subjects, whether that be respecting parties’ purposes in making a contractual bargain or using purpose as a basis for limiting liability in tort. Similarly, Wittgenstein’s conception of language demonstrates the necessity of resort to purpose in interpretation, as the open-textured nature of words means that legal rules only become determinate when used in specific contexts for specific purposes. The article focuses primarily on the United Kingdom’s (UK) legal system, with its two tracks of the common law and parliamentary legislation, but also extends the argument to examples drawn from forms of supranational law to demonstrate that the analysis is capable of being generalised beyond the UK’s legal system.
In the pharmaceutical sector an increasing number of new medicines are large-molecule products, namely biologics derived from living organisms, rather than small-molecule drugs synthesised from chemicals. Unlike small-molecule medicines, which are relatively easy to manufacture, large-molecule products are less stable and harder to produce. We investigate whether the current UK legal system provides an appropriate balance between the protection provided to technology owners and the public interest in accessing medical technologies, especially in times of emergencies. At present, UK law facilitates compulsory licensing of patents but has no equivalent scheme for trade secrets. Our analysis of the legal constraints on potential reforms suggests that a mechanism for compulsory licensing of trade secrets would be compatible with UK domestic law, the European Convention on Human Rights, the World Trade Organization Agreement on Trade-Related Aspects of Intellectual Property Rights and other international agreements, provided appropriate safeguards are put in place to balance the rights of intellectual property holders with the public interest. The article contributes a detailed framework for the compulsory licensing of trade secrets, drawing parallels with voluntary technology transfer agreements, including provisions for defining the scope of transfer, maintaining confidentiality, restricting future use, providing fair compensation and ensuring enforceability.
Cardiac tamponade is a rare but life-threatening condition in children, typically requiring urgent percutaneous pericardiocentesis. Despite its clinical importance, comprehensive data on paediatric cardiac tamponade are limited.
Methods:
We retrospectively reviewed 251 paediatric patients (0–18 years) with cardiac tamponade who underwent emergency percutaneous pericardiocentesis to evaluate the aetiological spectrum, age distribution, and associated clinical factors between November 2003 and May 2025. Diagnosis was based on echocardiographic criteria indicating haemodynamic compromise. Patients were categorised by age group, underlying aetiology, and recent history of cardiac intervention.
Results:
Structural heart diseases were the leading cause of cardiac tamponade (51.6%), particularly in neonates and infants. Pericardiocentesis was most frequently performed in children aged 6–12 years (28.2%). Cardiomyopathies were more prevalent in older age groups. Infectious causes were the second most common aetiology (11.5%). Cardiac Tamponade occurred more frequently following cardiac surgery (12.3%) than after catheter-based interventions. Iatrogenic tamponade was identified in six patients, most commonly during high-risk transcatheter procedures. Genetic syndromes were present in 30 patients, with Down syndrome being the most common.
Conclusions:
To the best of our knowledge, this study represents the largest single-centre cohort of paediatric cardiac tamponade requiring pericardiocentesis. Cardiac causes, particularly structural heart diseases, represent the most common aetiology across all age groups; therefore, these patients should be promptly evaluated for cardiac tamponade when presenting with relevant symptoms.
L’usage du français au Québec est en recul (Commissaire à la langue française, 2024a; Statistique Canada, 2022), contribuant à la perception que la langue française est menacée. Cette situation soulève plusieurs questions quant à l’évolution temporelle de l’opinion publique relativement à cette perception et ses conséquences politiques. Dans cet article, nous examinons d’abord l’évolution de l’opinion publique concernant la perception selon laquelle la langue française serait menacée afin de quantifier les changements survenus entre 1993 et 2024. Ensuite, nous analysons les déterminants de ce sentiment de menace. Enfin, nous examinons les conséquences électorales en politique fédérale. Les résultats illustrent (1) qu’une forte majorité des citoyens estime que le français est menacé, (2) cette proportion a nettement augmenté à travers le temps et (3) ce sentiment est lié au choix électoral. Ces conclusions suggèrent que les enjeux linguistiques constituent un facteur crucial pour mieux saisir la politique québécoise et canadienne.
In this paper, we study the existence of $k$-$11$-representations of graphs. Inspired by work on permutation patterns, these representations are ways of representing graphs by words where adjacencies between vertices are captured by patterns in the corresponding letters. Our main result is that all graphs are $1$-$11$-representable, answering a question originally raised by Cheon et al. in 2018 and repeated in several follow-up papers – including a very recent paper, where it was shown that all graphs on at most $8$ vertices are $1$-$11$-representable. Moreover, we prove that all graphs are permutationally $1$-$11$-representable – that is representable as the concatenation of permutations of the vertices – answering the existence question in extremely strong fashion. Our construction leads to nearly optimal bounds on the length of the words, as well. It can, moreover, be adapted to represent all acyclic orientations of graphs; this generalizes the fact that word-representations capture semi-transitive orientations of graphs. Our construction also adapts easily to other $k \geq 2$ as well, giving representations using a linear number of permutations when the best known previous bounds used a quadratic number. Finally, we also consider the (non-)existence of ‘even–odd’-representations of graphs. This answers a question raised by Wanless after a conference talk in 2018.
Polished stone axes are one of the most iconic types of tools of Europe’s first farmers. Despite their ubiquity, we know relatively little about how they were used. Here, the authors outline how macroscopic wear analysis is revealing diversity in the use and treatment of axe-heads from Neolithic Orkney.
Perceptual disturbances are common in psychiatric and neurological conditions, yet some rare, non-psychotic disorders remain poorly recognised. This review examines two such syndromes: visual snow syndrome (VSS) and exploding head syndrome (EHS). VSS is marked by continuous ‘static’ across the visual field, often accompanied by palinopsia, photophobia and entoptic phenomena. EHS involves sudden, loud auditory sensations – like explosions or crashes – occurring during transitions between sleep and wakefulness. Although distinct in modality, both share common challenges: subjective distressing symptoms, normal investigation findings, frequent misdiagnosis and psychiatric comorbidities such as anxiety, sleep dysfunction and depersonalisation. The article synthesises emerging evidence on their neurobiological underpinnings, including cortical hyperexcitability, thalamocortical dysrhythmia and impaired sensory gating, and on pharmacological and non-pharmacological treatment options. Enhancing clinical awareness and adopting a multidisciplinary approach are essential for improving diagnosis and care. This article aims to support psychiatrists in recognising, differentiating and managing these complex perceptual disorders.
Droplet vaporisation can exhibit distinct shrinkage kinetic laws depending on the experimental set-up and ambient conditions. In this work, we present a unified approach that combines experiment and theory to identify true shrinkage kinetics across a broad range of droplet vaporisation processes extending beyond the classical D2-law – particularly under realistic conditions involving support fibres or/and inevitable convective effects. Experimentally, we assume a power law $D^n= D_0^n- \textit{Kt}$, where K is the vaporisation rate constant, and re-express it as $(D/D_0)^n = 1 - t/t_{\textit{life}}$ in terms of the normalised droplet diameter $D/D_0$ and time t$ / $tlife relative to the droplet’s initial diameter D0 and lifetime tlife. Taking D as the diameter of a volume-equivalent sphere, the exponent n can be reliably extracted from the slope of the log–log plot of $( 1 - t/t_{\textit{life}})$ against $D/D_0$. The robustness of this method is demonstrated by re-confirming the D2-law for pure fuel droplet evaporation and validating the $D^{3/2} $-law for droplet evaporation under forced convection. We further apply this method to droplet combustion, revealing a significant departure from the D2-law with n$=$ 2.56 ± 0.20–2.65 ± 0.17 across various liquid fuels, unaffected by the presence of support fibres. An even more pronounced departure, with n approaching 3, is observed in droplet combustion within a continuous flame sustained by an auxiliary burner. Theoretically, we develop a more general theory to describe these droplet combustion processes, showing that the observed positive departures mainly result from flame-driven buoyant convection with 2.33 < n < 3, capturing well the experimental data. The same theoretical framework can also account for the negative departures in convection-driven vaporisation processes without flame, thereby providing a unified interpretation for the fundamental distinctions between flame-driven and non-flame-driven droplet vaporisation processes. The present study not only identifies distinct shrinkage power laws that emerge from complexities in these processes, but also reveals the central role of an inherent length scale – arising from underlying convective mechanisms – in shaping the true shrinkage kinetics that lead to violations of the D2-law.
We examine the dynamic interactions between the large-scale coherent motion and the small-scale turbulence in the passive scalar field of a circular cylinder wake, where the coherent motion exhibits strong periodicity. A combination of four X-wires and four cold wires was used to simultaneously measure the three velocity and temperature fluctuations at nominally the same location. Measurements were taken at $x/d=10$, 20 and 40 in the mean shear plane at Reynolds number 2500, based on the cylinder diameter $d$ and the free-stream velocity. The phase-averaging technique is used to distinguish the large-scale coherent motion from the stochastic motion, enabling the construction of phase-averaged structure functions of the passive scalar in the scale phase plane. The maximum of the coherent scalar $\tilde {\theta }$ closely aligns with the minima of the phase-averaged strain $\langle S \rangle$ and the vortex centre, suggesting that heat is contained within the interior of the vortex. The scale-by-scale distributions of the scalar variance and the streamwise velocity variance exhibit a similar phase dependence associated with the coherent motion. This dependence is perceptible even at the smallest scales. However, as the distance from the cylinder increases, the perceivable scale range decreases and eventually disappears. An expression is formulated to describe the time-averaged second-order structure function of coherent scalar and the time-averaged second-order mixed structure function between the coherent scalar and coherent streamwise velocity at $x/d= 10$ and 20, where the coherent motion is prominent. Furthermore, the scale-by-scale contribution of the coherent scalar variance to the total scalar variance is evaluated. Also, we derive the scale-by-scale scalar variance transport equations that account for the coherent motion in both general and isotropic formulations. Assuming local isotropy, it is found that the equation agrees approximately with the experimental data across all scales at $x/d= 40$. Finally, the differences between the scale-by-scale transport equation for the stochastic scalar variance and that for the stochastic turbulent kinetic energy are discussed.
Integral modelling of turbulent buoyant plumes is crucial for rapid predictions of plume characteristics. While the governing equations are typically derived using self-similarity and a Boussinesq approximation, these assumptions may not hold for plumes originating from finite-area sources with large density ratios. This work evaluates the accuracy of integral-scale models for non-Boussinesq lazy plumes using high-fidelity numerical simulations of turbulent helium plumes. We analyse the plume kinematics by computing vertical fluxes, plume radius and radial profiles, establishing some disparities between common practice and physical accuracy. We identify how the definition of the plume radius changes the perception of the plume structure when the flow is not self-similar and derive a relationship between the flux-based and threshold-based definitions without requiring self-similarity. We then examine the plume dynamics by evaluating the source terms from the governing plume equations. Our results support neglecting diffusive and viscous effects but emphasise the importance of the mean pressure gradient, even in the self-similar regime. Two coefficients need to be modelled: the well-known entrainment coefficient and the lesser-known momentum correction coefficient, which is a correction required for the momentum equation to account for self-similar and slender approximations. The momentum correction coefficient is found to be approximately constant and slightly greater than the assumed value of 1. The standard entrainment coefficient models perform well up to a local Richardson number three times the asymptotic value but overpredict entrainment for larger Richardson numbers. We propose a correction using the known finite limit of entrainment at infinite Richardson number.
German federal elections have long drawn international attention due to the country’s economic influence and its pivotal role in the European Union. Over time, forecasting these elections has evolved into a sophisticated discipline, incorporating diverse models and refined methodologies to improve accuracy. Since 2013, PS: Political Science & Politics has played a key role in tracking these developments by publishing three special symposia dedicated to forecasting German elections (Jérôme 2013, 2017; Jérôme and Graefe 2022). This 2025 symposium marks the fourth installment, continuing a tradition of providing scholars with a platform to share insights and reflect on the field’s ongoing expansion.
This essay opens JAS’s special issue on American Studies and the 2024 Election in which contributors explore issues that rose to prominence during the election campaign and the first months of the second Trump administration using a variety of disciplinary lenses and methodologies. It analyses why Trump became only the second president in history to win non-consecutive terms in office and assesses the transformative significance of his early second-term initiatives. At the same time, it advances the guiding premise of the special issue: that the broad objects of study, interdisciplinary approaches, and asynchronous perspectives of American Studies can combine with history and political science to help us better understand Trump’s victory, its causes, and its possible consequences. As demonstrated by It Can’t Happen Here, literature and other cultural outputs can enrich understanding of American history and politics at any given time. As an Area Studies discipline, with a geographical organising principle that compliments the traditional chronological frameworks of English and History, American Studies foregrounds relations between states and regions, and at a national and transnational scale that shape US politics and require consideration to better appreciate the complexity of the country that national aggregates may fail to reveal.
The nonlinear Tollmien–Schlichting waves mechanism of subcritical transitional flow in quasi-two-dimensional flow and two-dimensional (2-D) plane Poiseuille flow have been investigated (Camobreco et al. 2023 J. Fluid Mech., vol. 963, p. R2; Huang et al. 2024 J. Fluid Mech., vol. 994, p. A6). However, the subcritical transitional flow threshold has remained unsolved for 2-D shear flows since the problem was proposed in Trefethen et al. (1993 Science vol. 261, no. 5121, pp. 578–584). In this study, we proposed a theoretical analysis based on the nonlinear non-modal analysis and asymptotic analysis to quantify the scaling law for subcritical transitional flow of 2-D plane Poiseuille flow. The subcritical transitional flow induced by the critical disturbance experiences the nonlinear edge state with invariant disturbance kinetic energy (Huang et al. 2024 J. Fluid Mech. vol. 994, p. A6). Consequently, the required magnitude along with the edge state is predicted by asymptotic analysis, and the a priori threshold is achieved theoretically. All stages are validated by the numerical minimal seeds of different channels. The proposed theory predicts that the scaling laws are $O(Re^{-11/3})$ and $O(\textit{Re}^{-7/3})$ for the critical disturbances and their edge state, respectively. While the numerical thresholds of the subcritical transitional flow are $ \textit{Re}^{-11/3 \pm 0.06}$ and $ \textit{Re}^{-7/3 \pm 0.05}$, respectively.
In this paper, we develop a model economy to study how financial innovations affect financial access and inequality. Financial innovations alter distribution of costs. In this way, the measure of buyers is endogenous regarding the payment method. In studying financial innovations in an economy with limited commitment, it is possible to bridge two existing literatures. When comparing stationary equilibria, we find that the results depend on the scarcity of collateral. Moreover, the expected welfare and inequality are affected by consumers access to the form of payment systems.
The recovery model of mental health care is distinct from the biomedical model of mental health care. To promote one runs the risk of marginalising the other. Both approaches have merit. Values of hope and optimism, social inclusion, collaborative decision-making, retaining a personal identity beyond an identity simply defined by a diagnosis of mental illness, are all central to the recovery model. A reorientation of mental health services is required, a change in culture which embodies the principles of a recovery model within which, the perspectives of patients and families are heard together with the perspectives of mental health professionals who have knowledge and expertise to offer. In Meath Community Mental Health Services we have implemented such a recovery model, the model of open dialogue where principles of dialogue, social inclusion, immediate help and collaborative decision-making are paramount. We began this service in 2019 and carried out an audit of the first 6 months of our implementation. The audit illustrated overwhelming satisfaction from service users and their families with the new approach. On foot of our successful pilot project we have extended the model of open dialogue to other teams in Meath and Louth, including the in-patient unit in Drogheda. Our open dialogue project illustrates how a recovery model of mental health care can be successfully implemented in a public mental health system.
Designing efficient and rigorous numerical methods for sequential decision-making under uncertainty is a difficult problem that arises in many applications frameworks. In this paper we focus on the numerical solution of a subclass of impulse control problems for the piecewise deterministic Markov process (PDMP) when the jump times are hidden. We first state the problem as a partially observed Markov decision process (POMDP) on a continuous state space and with controlled transition kernels corresponding to some specific skeleton chains of the PDMP. We then proceed to build a numerically tractable approximation of the POMDP by tailor-made discretizations of the state spaces. The main difficulty in evaluating the discretization error comes from the possible random jumps of the PDMP between consecutive epochs of the POMDP and requires special care. Finally, we discuss the practical construction of discretization grids and illustrate our method on simulations.