There is a reasonable possibility that the present-day Atlantic Meridional Overturning Circulation is in a bistable regime, hence it is relevant to compute pathways of noise-induced transitions between the stable equilibrium states. Here, the most probable transition pathway of a noise-induced tipping of the northern overturning circulation in a spatially-continuous two-dimensional model with surface temperature and stochastic salinity forcings is computed directly using large deviation theory. This pathway reveals the fluid dynamical mechanisms of such a tipping. Paradoxically it starts off with a strengthening of the northern overturning circulation before a short but strong salinity pulse induces a second overturning cell. The increased atmospheric energy input of this two-cell configuration cannot be mixed away quickly enough, leading to the collapse of the northern overturning cell, and finally resulting in a southern overturning circulation. Additionally, the approach allows us to compare the probability of this transition under different parameters in the deterministic part of the salinity surface forcing, which quantifies the increase in transition probability as the bifurcation point of the system is approached.

The mass balance of lake-terminating glaciers responds to annual atmospheric variations, while calving-induced ice loss at the front is driven by local ice–water interactions. The current glaciological studies underestimate glacier response by neglecting the significant annual ice loss at the terminus through calving processes. This study integrates field measurements with remote sensing data to investigate the glaciological characteristics and proglacial lake evolution of the Gepang Gath glacier in the Chandra basin, Western Himalaya, India. Long-term observations reveal a continuous expansion of the proglacial lake from 0.21 ± 0.06 km2 (1962) to 1.21 ± 0.05 km2 (2023), along with terminus retreat of ∼2.76 km, attributed to calving at the ice–water interface. The glacier’s surface exhibits complex debris cover, with thicknesses up to 35 cm, creating significant spatial variations in surface mass balance. In-situ, glaciological measurements reveal a highly negative glacier-wide mass balance of −0.90 ± 0.30 m w.e. a−1 between the years 2014 and 2023. The geodetic estimates also reveal a negative mass balance of −0.61 ± 0.1 m w.e. a−1 over the past decade (2013–2023). The frontal area change (0.42 km2) and geodetic mass balance show a total volumetric ice loss of −21.77 × 106 m3 w.e. during the same period. Overall, the yearly frontal ice loss exacerbates the mass loss by 17–22%. These findings suggest that the presence of proglacial lakes plays a significant role in intensifying ice mass loss from Himalayan glaciers, strongly regulating their overall evolution.

To sustain its agricultural output, the U.S. relies heavily on imports of potash. Using two different methodologies, this study finds that U.S. import demand falls by approximately four percent in the short run and nine percent in the long run for a 10% rise in the potash import price. Price transmission with leading exporter Canada is imperfect, with U.S. prices rising only 7.7% in the short run when Canadian prices rise by 10%. The findings suggest that policies such as import tariffs would raise costs for U.S. agricultural producers because there are few potash substitutes.

We investigate the statistical properties of kinetic and thermal dissipation rates in two-dimensional/three-dimensional vertical convection of liquid metal ($Pr = 0.032$) within a square cavity. Two situations are specifically discussed: (i) classical vertical convection with no external forces and (ii) vertical magnetoconvection with a horizontal magnetic field. Through an analysis of dissipation fields and a reasonable approximation of buoyancy potential energy sourced from vertical heat flux, the issue of the ‘non-closure of the dissipation balance relation’, which has hindered the application of the GL theory in vertical convection, is partially resolved. The resulting asymptotic power laws are consistent with existing laminar scaling theories and even show certain advantages in validating simulations with large Prandtl number ($Pr$). Additionally, a full-parameter model and prefactors applicable to low-$Pr$ fluids are provided. The extension to magnetoconvection naturally introduces the approximate expression for total buoyancy potential energy and necessitates adjustments to the contributions of kinetic dissipation in both the bulk and boundary layer. The flow dimensionality and boundary layer thickness are key considerations in this analysis. The comprehension of Joule dissipation has been updated: the Lorentz force generates positive dissipation in the bulk by suppressing convection, while in the Hartmann layer, shaping the exponential boundary layer requires the fluid to perform positive work to accelerate, leading to negative dissipation. Finally, the proposed transport equations for magnetoconvection are supported by current direct numerical simulation (DNS) and literature data, and the applicability of the model is discussed.

A topological space has a domain model if it is homeomorphic to the maximal point space $\mbox{Max}(P)$ of a domain $P$. Lawson proved that every Polish space $X$ has an $\omega$-domain model $P$ and for such a model $P$, $\mbox{Max}(P)$ is a $G_{\delta }$-set of the Scott space of $P$. Martin (2003) then asked whether it is true that for every $\omega$-domain $Q$, $\mbox{Max}(Q)$ is $G_{\delta }$-set of the Scott space of $Q$. In this paper, we give a negative answer to Martin’s long-standing open problem by constructing a counterexample. The counterexample here actually shows that the answer is no even for $\omega$-algebraic domains. In addition, we also construct an $\omega$-ideal domain $\widetilde{Q}$ for the constructed $Q$ such that their maximal point spaces are homeomorphic. Therefore, $\textrm{Max}(Q)$ is a $G_\delta$-set of the Scott space of the new model $\widetilde{Q}$ .

Station-keeping control is a critical technology for stratospheric aerostats. For those aerostats that utilise wind field environments to achieve trajectory control, the station-keeping capability of a single aerostat is inherently limited. This limitation can lead to instances of the aerostat flying outside the designated task area, thereby diminishing the effectiveness of station-keeping control. To ensure continuous monitoring of the restricted area for long endurance, dynamic adjustments and cooperative coverage among multiple aerostats are necessary. This paper introduces an optimal coverage algorithm based on Voronoi diagrams and presents a formation control method for stratospheric aerostats that employs the virtual force method and the ${A^{\rm{*}}}$ algorithm, respectively. In a real wind field environment, ten aerostats are deployed to optimally cover the restricted area. Simulation results indicate that the coverage rate of the stratospheric aerostats within the restricted area can exceed 70%, while the network connectivity rate among the aerostats can reach 80% following guidance control during return flights. Furthermore, the stratospheric aerostats that flying out of the restricted area can return through path planning and optimal coverage algorithm, and the networking connectivity rate between aerostats is higher than that using the virtual force method.

As artificial intelligence (AI) continues to advance, it is natural to ask whether AI systems can be not only intelligent, but also conscious. I consider why people might think AI could develop consciousness, identifying some biases that lead us astray. I ask what it would take for conscious AI to be a realistic prospect, challenging the assumption that computation provides a sufficient basis for consciousness. I'll instead make the case that consciousness depends on our nature as living organisms – a form of biological naturalism. I lay out a range of scenarios for conscious AI, concluding that real artificial consciousness is unlikely along current trajectories, but becomes more plausible as AI becomes more brain-like and/or life-like. I finish by exploring ethical considerations arising from AI that either is, or convincingly appears to be, conscious. If we sell our minds too cheaply to our machine creations, we not only overestimate them – we underestimate ourselves.

Procedural justice considerations have long justified both the instrumental and intrinsic value of effective participation among court users, where ideals of impartiality, dignity and fairness remain pre-eminent. However, recent developments in socio-legal research as well as legal policy and practice point to an inchoate normative reframing of the law beyond procedural justice grounds, based on what we call the humanising imperative for effective participation. We utilise the philosophy of Hume to elucidate its distinctive features, namely the significance of partiality and the virtues of humanity. The paper further explores the putative enactment of the humanising imperative in three court settings in England and Wales – the Court of Protection, criminal courts and inquests – that indicates the precarity of this orientation in relation to procedural justice principles.

In the present study, we combine southern multilingualisms and linguistic governmentality frameworks to analyze the dominant framings of multilingualism in Pakistan and the subject positions they entail. Using critical policy studies and narrative analysis, we draw upon official policy documents (n = 6) and university students’ narratives (n = 2). Our analysis suggests that the dominant framings of multilingualism in Pakistan are informed by (post)colonial and neoliberal ideologies centered on bounded notions of language and commodification of linguistic competencies. They are characterized by hierarchization of named languages and their functions in relation to their political and economic value, otherization of indigenous languages, and compartmentalization of students’ linguistic competencies into economically privileged languages. These framings entailed subject positions that gradually erased their (students’) multilingual identities and instead morphed them into plurimonolingual subjects of/for the state and the market. We also discuss implications for scholars, teachers, and policy makers in this study. (Multilingualism, southern theory, governmentality, neoliberalism, language education, language policy)

Close reading of documents produced by the early courts in New South Wales show two young men, formerly barristers at the Northern Assizes, innovating in their court rooms. Such innovation derived from their merchant background rather than the traditions of mercy or paternalism of the Assizes. In such innovations colonial agents were empowered and could shape the workings of the courts themselves. Minutes of the court show the impact of new kinds of elites generated by wealth built on slavery on the courts in the colonies and the subsequent flowering of subcultures.

Time is frequently structured in terms of motion as moving-time (e.g., “summer is coming”), moving-ego (e.g., “we approach winter”), or sequence-as-position (e.g., “winter follows autumn”) across the world’s languages, including Chinese – a language that shows greater variability in its expression of such metaphors. Using a metaphor explanation and a metaphor comprehension task, we tested 60 children learning Chinese, equally divided into ages 3–4, 5–6, 7–8. Children’s performance improved with age, marking ages 7–8 as the period with significant gains in both comprehension and explanation of metaphors – a later mastery compared to children learning English shown in earlier work. Metaphor type also affected children’s performance, but only for the explanation and not the comprehension of metaphors. Overall, our findings highlight that the structure of spatial metaphors for time in Chinese influences the timing but not the trajectory of children’s development in learning spatial metaphors for time.

Between 1814 and 1826 four members of the family of Jane Talbot and her cousin William Henry Fox Talbot had an active and varied interest in the study of mosses, which included the collecting, drawing and naming of specimens. This article explores the textures of their developing practice of learning natural history, and considers their activities within the framework of the circulation of knowledge, their reading and skill development, and the networks that supported them. Their social status and connections provided access to the expertise of numerous British botanists, including Lewis Weston Dillwyn, William Jackson Hooker, and James Dalton, placing the family as a locus of knowledge (re)production and transmission. This work illustrates the pedagogical practices of an elite group as they engaged with botany in a domestic setting, and makes suggestions as to their motivations and stimulations, as well as the conditions that maintained or diminished their interest. At a time when mosses were little-studied even by professed botanists, it demonstrates how a family group including many young women filled their leisure pursuits with these small plants, and reveals how an extended family with no previous expertise in formal botany could be actors in early nineteenth-century knowledge exchange.