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Milk is nutritionally rich, but its production poses ethical and environmental concerns. Farming practices can influence milk’s nutritional quality and improve its sustainability, creating opportunities for innovation. This study explores consumer willingness to adopt improved products and the interrelationships of knowledge and attitudes towards the dairy industry in relation to purchasing and consumption. We conducted an online survey of UK adults from November 2021 to March 2022, covering knowledge and attitudes towards dairy, dairy consumption, likelihood to purchase improved milk, and socio-demographics. Participants were classified as low or high dairy consumers based on their intake: below or above 1.81 dairy portions per day. Of the 706 dairy consumers who completed the survey, 47% reported consuming ≥1.81 portions of dairy products daily. High dairy consumption predicted more positive attitudes towards dairy farmers than lower consumption. Conversely, low consumption was associated with greater concern for animal welfare and the environmental implications of dairy (p < 0.001). Price was the most important consideration when purchasing milk habitually; however, when presented with four different descriptions of milk, 41% of participants said they would definitely or very probably buy the product with improved trade, welfare, and sustainability standards, despite this product having the highest price per litre. Balancing the nutritional value of cows’ milk with the environmental consequences and ethical concerns of its production is a critical part of the debate to foster a food system that supports planetary and human health. Altering production methods and improving products can be part of the food system transformation.
Meandering is the prototype of the unsteady dynamics of line vortices observed in experiments and has never been examined subject to free-surface gravity-wave flow explicitly before. With this study, we pursue the objective to make progress in developing a theoretical vortex-meandering model from first principles. As in recently proposed models, we start our modelling from the experimentally measurable vortex-centre integral, which we consider as the definition of vortex meandering. We then derive an equation of motion for the vortex centre assuming three-dimensional vorticity dynamics, which has not been reported in the literature previously. Considering meandering to correspond to the lateral displacement of the vortex as a whole, we demonstrate theoretically that practically all terms in this equation of motion mutually cancel and that the problem cannot be closed with the experimentally available two-dimensional data alone. As suggested by our analysis, we therefore assume vortex meandering to be associated with an infinity of viscously damped displacement waves excited by the free stream turbulence and propagating along the core. The resulting power spectrum closely resembles that of an Ornstein–Uhlenbeck process, as proposed recently. We compare all aspects and assumptions of our model development with an experiment of a single line vortex conducted in a free-surface recirculating water channel. The effect of the free-surface gravity wave on the vortex-meandering dynamics has not been examined before, but is found to have a non-negligible contribution of the same order as the free stream turbulence in the facility. Overall, we confirm our model assumptions and find remarkably good principal agreement between the model characteristics and the experiment at the 5 % level of significance. Despite this overall good agreement, there remains the considerable deficiency that the model-predicted vortex-response time scale is approximately two orders different from the experimental one. While the reason for this inconsistency is not clear yet, the results are encouraging and hopefully help solving the problem of vortex meandering eventually.
I consider the sense in which teleparallel gravity and symmetric teleparallel gravity may be understood as gauge theories of gravity. I first argue that both theories have surplus structure. I then consider the relationship between Yang-Mills theory and Poincaré Gauge Theory and argue that though these use similar formalisms, there are subtle disanalogies in their interpretation.
This paper examines how Regional Internet Registries (RIRs) function as self-governing institutions for managing Internet address resources and what episodes of stress reveal about the resilience and vulnerabilities of this system. Our analysis offers an institutional assessment of the RIR system and evaluates how it has responded to scarcity, technological change, and market pressures. We argue that the RIR model endures because its rules reflect Ostromian principles, including clearly defined boundaries, community participation, and credible monitoring, that sustain cooperation. Using these principles as normative benchmarks, we identify pathways for reform that preserve the RIRs’ decentralized, member-driven governance institutions while strengthening transparency, adaptability, and cross-regional resilience.
This paper offers four principles for a contemporary Anglican theology of religions that is decolonial by looking at theologians beyond the West for inspiration. At the same time, it bases its claims for its Anglican traditionalism by showing the continuity of these ideas in an older lineage of Anglican theology on religious diversity, incarnationalism and social theology. The four principles are as follows: a polydox approach to theology; a liberation-based interreligious solidarity; an openness to learning new directions in theology from Spirit-Sophia; and an incarnational emphasis on lived and embodied experiences and practices. The paper starts by looking at the history of Anglican incarnational theology, it then explores how theologies of religious diversity have developed from the nineteenth through the twentieth century, next it explicitly links incarnation, diversity and social justice, and a final section develops the four principles in a global and ecumenical conversation.
High-fidelity lattice–Boltzmann very-large-eddy simulations are performed to describe the noise dissipation mechanisms in a single cavity acoustic liner subjected to grazing turbulent flow at a centreline Mach number of 0.3 and plane acoustic waves. The study examines the effects of sound pressure level (SPL; ranging from 130 to 160 dB) and source frequency, as well as of the direction of acoustic-wave propagation relative to the grazing flow. The acoustic energy dissipation mechanisms are the viscous losses within the shear layer forming along the internal walls of the orifice and the vortex shedding. The latter is quantified through Howe’s energy corollary. In the absence of grazing flow, acoustic energy is dissipated almost equally during both inflow and outflow phases, with vortex shedding dominating at high SPL and viscous losses at low SPL. The introduction of a grazing flow alters the flow topology; in particular, the shear layer past the orifice generates a quasi-steady vortex that confines the acoustic-induced flow to the downstream half of the orifice. This topological change alters the two noise dissipation mechanisms: viscous losses increase at low SPL because the grazing flow pushes the fluid towards the downstream lip of the orifice; vortex shedding becomes phase dependent, dissipating acoustic energy during the inflow phase and generating acoustic energy during the outflow phase. This explains why the net acoustic dissipation decreases in the presence of grazing flow, highlighting the crucial role of near-wall flow topology on liner performances.
We relate the expected hyperbolic length of the perimeter of the convex hull of the trajectory of Brownian motion in the hyperbolic plane to an expectation of a certain exponential functional of a one-dimensional real-valued Brownian motion, and hence derive small- and large-time asymptotics for the expected hyperbolic perimeter. In contrast to the case of Euclidean Brownian motion with non-zero drift, the large-time asymptotics are a factor of two greater than the lower bound implied by the fact that the convex hull includes the hyperbolic line segment from the origin to the endpoint of the hyperbolic Brownian motion. We also obtain an exact expression for the expected perimeter length after an independent exponential random time.
Michael Otsuka, Alex Voorhoeve and Marc Fleurbaey have proposed competing claims egalitarianism and hybrid egalitarianism in their attempts to justify giving priority to the worse off, especially in cases involving risk. However, neither view adequately explains why it matters that some are worse off than others. And combining these accounts within a broader egalitarian theory or modular principle is problematic. I sketch an alternative version of egalitarianism and compare it with competing claims egalitarianism, hybrid egalitarianism and restricted prioritarianism.
We develop a continuous-time stochastic model for optimal cybersecurity investment under the threat of cyberattacks. The arrival of attacks is modeled using a Hawkes process, capturing the empirically relevant feature of clustering in cyberattacks. Extending the Gordon–Loeb model, each attack may result in a breach, with breach probability depending on the system’s vulnerability. We aim at determining the optimal cybersecurity investment to reduce vulnerability. The problem is cast as a two-dimensional Markovian stochastic optimal control problem and solved using dynamic programming methods. Numerical results illustrate how accounting for attack clustering leads to more responsive and effective investment policies, offering significant improvements over static and Poisson-based benchmark strategies. Our findings underscore the value of incorporating realistic threat dynamics into cybersecurity risk management.
Let p be a prime number. We consider diagonal p-permutation functors over a (commutative, unital) ring $\mathsf {R}$ in which all prime numbers different from p are invertible. We first determine the finite groups G for which the associated essential algebra $\mathcal {E}_{\mathsf {R}}(G)$ is non-zero: These are groups of the form $G=L\langle u\rangle $, where $(L,u)$ is a $D^\Delta $-pair. When $\mathsf {R}$ is an algebraically closed field $\mathbb {F}$ of characteristic 0 or p, this yields a parameterization of the simple diagonal p-permutation functors over $\mathbb {F}$ by triples $(L,u,W)$, where $(L,u)$ is a $D^\Delta $-pair, and W is a simple $\mathbb {F}\mathrm {Out}(L,u)$-module. Finally, we describe the evaluations of the simple functor $\mathsf {S}_{L,u,W}$ parameterized by the triple $(L,u,W)$. We show in particular that if G is a finite group and $\mathbb {F}$ has characteristic p, the dimension of $\mathsf {S}_{L,1,\mathbb {F}}(G)$ is equal to the number of conjugacy classes of p-regular elements of G with a defect group isomorphic to L.
This study evaluates the effectiveness of high-fidelity maritime simulators in improving seafarer training, focusing on navigation and emergency response skills. Using Kongsberg Polaris full-mission simulators, 98 participants (students, professionals and instructors) completed structured simulator exercises and were assessed using customised post-exercise questionnaires. Results indicate improved practical skills, with professionals reporting higher confidence and perceived control than students. Emotional engagement was also important: professionals showed more balanced responses, whereas students exhibited higher arousal and more variable perceptions of control. Instructors emphasised real-time feedback and scenario customisation as key to effective training. Limitations included challenges with certain manoeuvres, lack of integrated assessment tools and high simulator costs limiting wider adoption. The study concludes that high-fidelity simulators are valuable in maritime education, although further technological development and adaptation for less experienced trainees are needed.
Heat or mass transport due to forced convection is characterised by a relation of the form ${\textit{Nu}} = {\mathcal F}({\textit{Pe}})$. The Nusselt number, ${\textit{Nu}}$, is the non-dimensional heat or mass (scalar) transport rate and ${\textit{Pe}} = Ua/D$, the Péclet number, is a dimensionless parameter measuring the relative importance of convection and diffusion. Here, $a$ is the characteristic size of the particle or drop, $D$ the scalar diffusivity and $U$ an appropriate velocity scale; ${\textit{Nu}}$ is defined to be unity in the absence of a flow (${\textit{Pe}} = 0$). We attempt to understand the nature of the ${\textit{Nu}}{-}{\textit{Pe}}$ relationships that arise for scalar transport from suspended particles and drops. For the simple case of an ambient uniform flow convecting the scalar, a scenario that arises for a particle or drop translating relative to an otherwise quiescent ambient, ${\mathcal F}({\textit{Pe}})$ transitions from unity, to eventually increasing as a power of Pe, for large Pe. The large-Pe exponent is 1/3 for particles and 1/2 for drops, and is directly related to the thickness of the scalar boundary layer that develops on the particle (drop) surface at large Pe. Our main focus is on transport from neutrally buoyant particles and drops in linear shearing flows, in which case $U=\dot {\gamma }a$, $\dot {\gamma }$ being the ambient shear rate. Although Pe remains an important parameter, Nu now depends sensitively on the geometry of the linear flow. The latter determines the near-surface flow that, in turn, controls the nature of the boundary-layer-enhanced transport for large Pe. The topology of the near-surface streamlines or pathlines can vary widely, depending on ambient flow-type, leading to a variety of transport scenarios. Understanding the Nu–Pe relationships across this wide range is crucial to understanding transport in more complicated situations, including particles (drops) in turbulence.
Prior work has suggested that musical abilities are associated with second language (L2) learning at both segmental and prosodic levels: For example, musicians are better at encoding lexical tone or stress in an L2 than non-musicians are. However, it remains unclear how the weighting of distinct acoustic cues when producing L2 prosody may be supported by musical abilities. Our current study investigated two different sub-domains of music perception, melody and rhythm, and their link to the accurate production of English lexical stress by native Mandarin speakers, as measured by differences from native English speakers in duration, F0, and amplitude. Melody, but not rhythm perception (and controlling for other speech perception skills, including the perception of lexical stress), significantly contributed to the production of duration and was also marginally predictive of amplitude, but not F0 production. We argue that the weak or null effects of music perception on F0 production may be due to Mandarin speakers’ F0 sensitivity from their native language, which may complicate the mapping of auditory perception onto L2 speech production skills. Results suggest complex associations between music and language in learners’ use of specific acoustic cues in their production of L2 prosody.
This cross-sectional based market surveillance study examined the level of gluten contamination in commercially manufactured products labelled ‘gluten-free’ in Jordan and compared the results to the globally recognised 20 mg/kg gluten safety limit for people with coeliac disease and other gluten-related disorders. From August 2022 to November 2024, 182 goods from 25 different food categories were tested in retail locations in Jordan’s main governorates. A validated monoclonal-based antibody-sandwich ELISA was used to determine the levels of gluten concentration, and a 95% CI was used to describe the prevalence of contamination. Overall, 47 of 182 products (25.8%; 95% CI: 19.7–32.6%) exceeded 20 mg/kg gluten. With maximum concentrations of 395.8 mg/kg, the highest non-compliance was found in rice-based goods (66.7%), milk products (50.0), and cookies (42.9). On the other hand, with the fact that several categories had rather small sample sizes, no violations were found in any of them. Jordan had a higher rate of contamination than a number of other places, including Europe (0.5%), India (10.8% of packaged items marketed as gluten-free), and Mexico (17.4%). The findings highlight clinically relevant issues with the quality of gluten-free products and support further monitoring, manufacturing supervision, and regulatory actions to better protect customers who depend on strict gluten avoidance guidelines.
Comprehension of wh-questions often poses challenges for children with autism spectrum disorder (ASD) in wh-movement languages like English. However, it remains unclear whether wh-in situ languages like Mandarin present similar difficulties. Moreover, the present study explores potential differences in comprehension between Mandarin subject and object wh-questions. We hypothesize a subject wh-question advantage, given that Mandarin object wh-questions exhibit a longer dependency than subject wh-questions. If confirmed, it would support that Mandarin wh-questions involve covert movement. Using eye-movement measures of the intermodal preferential looking (IPL) paradigm, this study investigates the comprehension of matrix subject and object wh-questions in Mandarin-speaking children with ASD (N = 35, mean age = 60.94 months) compared to their typically developing (TD) peers (N = 38, mean age = 29.66 months), matched on expressive vocabulary levels. The results showed that children in the TD group comprehended both subject and object wh-questions. However, in the ASD group, children comprehended only subject wh-questions. Overall, Mandarin-speaking children with ASD exhibited weaker comprehension of wh-questions than their TD counterparts, with particular difficulty processing object wh-questions. The subject-over-object advantage in wh-questions among Mandarin-speaking children with ASD suggests that they were sensitive to the longer dependency involved in object wh-questions. These findings support the involvement of covert movement in Mandarin wh-questions.
Childhood and adolescent obesity has emerged as one of the most pressing public health challenges worldwide. The persistence of excess weight from early life into adulthood together with its associated health consequences underscores the importance of effective prevention strategies. However, obesity in early life is driven by complex interactions between biological susceptibility, lifestyle behaviours, social determinants, and obesogenic environments, making prevention particularly challenging.
This review synthesises current evidence on childhood obesity prevention, critically examines the effectiveness of existing interventions, and discusses key challenges and opportunities for improving their impact. Evidence indicates that preventive strategies can improve dietary habits, physical activity, and other lifestyle behaviours, although their effects on anthropometric outcomes are generally modest. Interventions addressing multiple determinants and involving key settings such as families, schools, and communities appear more likely to achieve meaningful and sustained effects.
Translating evidence from controlled studies into effective, scalable real-world strategies remains a major challenge. Contextual factors, sustainability, stakeholder engagement, and policy support play a critical role in determining intervention success. In this context, systems-oriented and participatory approaches offer promising opportunities to design coordinated, multilevel strategies. Future efforts should focus on early-life prevention, equity-oriented actions, and the integration of scientific evidence into public policies to achieve sustainable population-level impact.
This paper presents a model for non-spherical oscillations of a lipid-encapsulated bubble infused with magnetic particles, developed using membrane theory for thin, weakly magnetic membranes. The model assumes that only the applied magnetic field contributes significantly to the Maxwell stress, with the membrane under generalised plane stress. Axisymmetric deformations are analysed under two external magnetic field configurations: symmetrically arranged current-carrying coils and symmetrically placed magnetic dipoles. The non-spherical oscillations are restricted to the linear regime, with the second mode dominating within the stable pressure range. The pressure–frequency stability region is computed, and its dependence on material properties and magnetic forcing is examined, and natural frequencies are estimated using a boundary-layer approximation. In the coil-field configuration, time-series analysis shows that the second mode attains significant amplitude relative to the bubble radius, increasing with both interfacial magnetic susceptibility and initial radius. Order-of-magnitude estimates indicate that pressure forcing dominates over magnetic forcing, implying a negligible effect of applied current on radial oscillations and stability. In contrast, for the dipole field, increasing dipole strength and reducing its distance from the bubble centre significantly reduces the stability region. Simulations with time-varying current further show that its amplitude and frequency have minimal influence on the stability diagram but strongly affect the periodicity of mode shapes.