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Space–time correlations of velocity and high-Schmidt-number ($Sc \approx 2000$) passive scalar fields are investigated in turbulent pipe flow using particle image velocimetry and planar laser-induced fluorescence, respectively. Both the velocity and scalar fields exhibit characteristic elliptical patterns in their respective space–time correlations. The elliptic approximation model, originally developed for the velocity field, is applied to estimate convection and sweeping velocities for both fields. In both fields, the convection velocity decreases, while the sweeping velocity increases, along the pipe radius. The convection velocity ratio between the scalar and velocity fields shows that high-Schmidt-number scalar fluctuations are advected faster than the velocity fluctuations. Similarly, the sweeping velocity of the scalar fluctuations is found to be larger than that of the velocity fluctuations. Furthermore, the high-Schmidt-number scalar is found to decorrelate more rapidly than the corresponding velocity, with the scalar Taylor microscale distinctly smaller than the velocity Taylor microscale.
Like many newer EU Free Trade Agreements, the Trade and Cooperation Agreement (TCA) includes commitments concerning labour and social standards and environment and climate policy under the title the ‘Level Playing Field’. This title includes non-regression provisions, which prohibit reducing or weakening certain standards ‘in a manner affecting trade’, and novel rebalancing provisions, which allow the parties to take unilateral measures if material impacts on trade are arising as a result of significant divergences in levels of protection in specific areas of regulation. Although terminology linking trade to labour and environmental issues is becoming reasonably common in trade agreements, there has only been limited consideration as to what trade effects or impacts actually need to be demonstrated. This paper argues that the language of ‘manner affecting trade’ and ‘material impact on trade’ in the TCA denotes a ‘conditions of competition’ test as opposed to a stricter, and relatively more difficult to satisfy, trade remedies model. It further considers the possible application of the provisions in the context of the UK’s 2022 strikes measures, highlighting that even if a conditions of competition test is used, there are serious questions as to whether the non-regression and rebalancing provisions in the TCA are efficacious in achieving values-based objectives.
We give a construction of integral local Shimura varieties which are formal schemes that generalise the well-known integral models of the Drinfeld p-adic upper half spaces. The construction applies to all classical groups, at least for odd p. These formal schemes also generalise the formal schemes defined by Rapoport-Zink via moduli of p-divisible groups, and are characterised purely in group-theoretic terms.
More precisely, for a local p-adic Shimura datum $(G, b, \mu)$ and a quasi-parahoric group scheme ${\mathcal {G}} $ for G, Scholze has defined a functor on perfectoid spaces which parametrises p-adic shtukas. He conjectured that this functor is representable by a normal formal scheme which is locally formally of finite type and flat over $O_{\breve E}$. Scholze-Weinstein proved this conjecture when $(G, b, \mu)$ is of (P)EL type by using Rapoport-Zink formal schemes. We prove this conjecture for any $(G, \mu)$ of abelian type when $p\neq 2$, and when $p=2$ and G is of type A or C. We also relate the generic fibre of this formal scheme to the local Shimura variety, a rigid-analytic space attached by Scholze to $(G, b, \mu , {\mathcal {G}})$.
This article offers an intersectional and temporospatial analysis of female visibility during religious activity in urban spaces in Republican Rome. The focus is on the regular religious activity of prominent female religious officials – Vestals, flaminica Dialis, and regina sacrorum – and collectives of women – married and enslaved women – as religious activity and roles could empower some women, and provide regular opportunities for visibility in the city. I argue that such an approach and focus reshape our understanding of the visibility of women in urban spaces, challenging traditional scholarly views of female domesticity and invisibility. A temporospatial lens reveals that women of various roles and statuses were regularly visible in a wide array of urban spaces, seemingly irrespective of their public, private, or sacred nature. There appears to have been limited spatial segregation by gender. Instead, a woman’s intersectional statuses and temporality were key dimensions differentiating female visibility. There was no singular gendered rhythm, but plural rhythms in interaction and conflict, and female religious officials played key roles in directing these rhythms and bringing harmony to the religious calendar. Futurity and the preservation of the community lay at the core of this female religious activity. Ultimately, time’s place was pivotal.
Sheath-ends are poorly represented in works regarding weaponry of the Cimmerian period (10th–7th century BC), despite forming an important component, particularly among the melee weapons of the time. There are several reasons for this neglect: until recently, the number of known sheath-ends was quite small, thus making it impossible to speak of types, variants or cultural affiliations; also, most of the previously published sheath-ends are spread over a large territory and were published many decades ago. Therefore, some of them may be unknown to researchers due to the age of publications, as well as linguistic and cultural barriers. Over the past few years, a larger number of new sheath-ends has emerged. Some of them belong to previously known types, others are completely new. Their analysis is here conducted using the comparative method. The total number of sheath-ends now known makes it possible to begin a discussion about their types, chronology and origins, which will undoubtedly develop as new finds appear.
The essence of the Metaverse lies in the inter-subjectivity revealed by phenomenology. The many-worlds model reveals the significance of interaction and communication for digital human existence. The Metaverse exhibits a rhizomatic structure of narrative from multiple small universe interpretations, particularly the cross-embedding and close coupling between digital relational orders and analog legal orders formed through interface revolution. Virtuality-reality interfacing permits rational design based on exchange concepts, yielding twelve fundamental digital-age juridical propositions from subject interaction ordering mechanisms. These propositions indicate that with consumer sovereignty and distributed autonomous organizations, the Metaverse will transform order principles. A corridor system connecting cyberspace to off-chain society will be built using code and smart contracts as dual interfaces, producing varied relationship-law combinations.
Recently, autonomous aerial systems have received unparalleled popularity and applications as varied as they are innovative in the civil domain. The unmanned aerial vehicle (UAV) is now the subject of intensive research in both aeronautical and automotive engineering.
This paper presents a new, robust gain-scheduled adaptive control strategy for a class of UAV with linear parameter varying (LPV) models. The proposed controller synthesis involves a set of pre-tuned linear quadratic regulator (LQR) combined with fractional-order PID controllers supervised with an adaptive switching law. The main innovation in this work is the enhancement of the classical gain-scheduling adaptive control robustness for systems with LPV models by combining a set of robust LQR + fractional-order PID compensators. The stability of the resulting controller is demonstrated and its efficiency is validated using a numerical simulation example on a civilian UAV system airspeed and altitude control to illustrate its practical efficiency and achieved robustness.
This article investigates how early modern migrants articulated identification with their host society in the context of the late eighteenth-century Dutch Republic, a period preceding modern nationalism. Drawing on a unique dataset derived from the Prize Papers – a collection of testimonies from captured sailors interrogated by British Admiralty courts – we analyze migrants’ declarations of sovereign allegiance. We assess how factors such as duration of residence, local citizenship (poorterschap), occupational rank, and marital status influenced migrants’ identification with their adopted polity. Using logistic regression, we find that civic institutional embeddedness, reflected in city citizenship, and occupational rank, especially among ship captains, significantly predicted identification with the Dutch Republic. In contrast, duration of residence and marital status had weak and statistically insignificant effects. Our findings highlight that pre-national forms of identification were deeply embedded in civic and institutional contexts rather than simply reflecting modern nationalist sentiments. By combining quantitative analysis with targeted archival research into individual biographies, this study demonstrates the complex interplay between institutional opportunities and personal networks in shaping migrants’ allegiances, thereby offering a nuanced historical perspective relevant to contemporary debates on civic integration.
Cultural transfers between metropolitan cores and colonial peripheries, have been a constant feature of the history of modern nationalism. Anti-colonial movements also influenced to some extent the development and strategies of European national movements before 1939. After 1945, and with particular intensity following the Algerian War of Independence, claims for national self-determination from the colonial possessions of the European empires also influenced the development of regional and national movements within Western Europe. This was flanked by the adoption of Marxist-Leninist and New Left doctrines by the post-war generation leading Western European minority nationalisms. The article deals with the reformulation of national self-determination in Europe under the influence of anti-colonial thought, particularly since the adoption of the theories of “internal colonialism”, and the new dimension given to the theory of national liberation by authors such as Frantz Fanon. It also looks at the emergence of radical ethno-nationalist parties in the 1960s and their commitment to this new wave of anti-colonial self-determination. Finally, the attempts of some of these movements to articulate a transnational programme will be analysed.
Kawasaki disease is a self-limiting vasculitis of unknown aetiology, and coronary artery lesions are its most common and serious complication. The Systemic Immune-Inflammation Index is a new biomarker of inflammation that may have prognostic value in Kawasaki disease. This study evaluated patients with Kawasaki disease and the prognostic role of Systemic Immune-Inflammation Index in coronary involvement. A total of 62 children with Kawasaki disease and 49 healthy controls were included. Systemic Immune-Inflammation Index was calculated as: neutrophils × platelets/lymphocytes). Systemic Immune-Inflammation Index was also significantly higher in Kawasaki disease patients than controls (2373 ± 2040 vs. 300 ± 218, p < 0.001). Subgroup analysis of the Kawasaki disease patients showed that Systemic Immune-Inflammation Index was significantly higher in patients with coronary artery lesions than in those without (p < 0.05). In conclusion, Systemic Immune-Inflammation Index is a composite inflammatory biomarker easily obtained from routine blood parameters and may be an independent predictor of coronary artery involvement in Kawasaki disease.
Musica Elettronica Viva (MEV) enjoys cult status in the history of avant-garde music in the second half of the twentieth century. Founded in Rome at the turn of 1966 and 1967 on the initiative of the American composer and pianist Frederic Rzewski, MEV, together with the Gruppo di Improvvisazione Nuova Consonanza (GINC), introduced free improvisation to the European continent. However, many aspects of the group’s early years remain obscure, particularly with regard to their first performances and their transition to improvisation. Drawing on previously unpublished archives, in particular those of Frederic Rzewski preserved in Brussels, this article clarifies these aspects by establishing a precise chronology from 1966 to 1968. Far from following the aesthetics of GINC, MEV seems to have been more influenced by the Living Theatre, whose Artaudian and political approach encouraged its shift towards musical spontaneity and audience participation. This study thus offers a new perspective on the origins of MEV and its place within the Italo-American avant-garde of the period.
Kongolandsbyen was an ‘ethnographic village’ staged in Oslo as part of Norway’s Jubilee Exhibition of 1914. The ‘village’ housed and displayed a troupe of eighty Senegalese performers including musicians playing kora, balafon, and other instruments. Examining music’s performance and reception in Kongolandsbyen demonstrates how colonialist practices and beliefs influenced even European nations, such as Norway, that were nominally non-imperialist. Kongolandsbyen’s promoters mimicked exhibitions common in France and Germany at which audiences sought both to learn about unfamiliar societies and to be entertained by sensationalized, ostensibly ‘primitive’, performances. By demonstrating fluency in the tired but familiar genre of the ‘ethnographic village’, Norwegians emulated the prestige of European imperial powers to challenge Norway’s marginal status as a newly independent, small country with limited geopolitical influence. Kongolandsbyen’s Senegalese performers pushed back against colonialist, racist representations through both thoughtful presentations of their musical traditions and an insistence on their own modernity.
We construct a model for the (non-unital) S1-framed little 2d-dimensional disks operad for any positive integer d using logarithmic geometry. We also show that the unframed little 2d-dimensional disks operad has a model which can be constructed using log schemes with virtual morphisms.
There is limited analysis of the adoption of luxury tourism strategies in Africa. Such strategies promise lower ecological impact and higher tourism revenues. Through an analysis of economic data and secondary literature, as well as interviews conducted in Mauritius, Botswana, and Rwanda, this article examines why once luxury tourism strategies are adopted and do not deliver expected results, some countries reverse these strategies while others do not. Contrary to recent African political economy literature, this paper shows that “democratic” governments (Mauritius, Botswana) with shorter-term horizons have more flexibility in adapting their strategies compared to “authoritarian” governments with longer-term horizons (Rwanda).
India, as the world’s most populous country, and with a substantial urban population, requires strategic development to mitigate the risks of urban pluvial flooding in the context of a changing climate. Rapid urbanization increases the presence of impervious surfaces, and climate change effects bring intense, frequent and long-duration rainfall events in India, which magnify urban flooding. Implementing sustainable urban drainage solutions (SUDSs) would mitigate stormwater flood risks, but India has yet to adopt this approach; instead, it relies on traditional drainage infrastructure, despite increasing population indices and an extended yearly rainfall season. Here, we highlight the existing scenario, the challenges and the way forward towards implementing SUDSs in India. To attain SUDSs, city-specific drainage-related challenges need to be identified through problem tree analysis, co-creation with stakeholders of a shared vision for sustainable urban drainage and the design of actionable pathways and experimental approaches for implementing interventions and refining practical indicators. These actions could collectively provide a roadmap for achieving resilient SUDSs.
The growth of small perturbations in isotropic turbulence is studied using massive ensembles of direct numerical simulations. These ensembles capture the evolution of the ensemble-averaged flow field and the ensemble variance in the fully nonlinear regime of perturbation growth. Evolution equations for these two fields are constructed by applying the ensemble average operator to the Navier–Stokes equations and used to study uncertainty growth in scale and physical space. It is shown that uncertainty growth is described by a flux of energy from the ensemble-averaged flow to the ensemble variance. This flux is formally equivalent to the subgrid scale (SGS) energy fluxes of the turbulence cascade, and can be interpreted as an inverse uncertainty cascade from small to large scales. In the absence of information sources (measurements), the uncertainty cascade is unsteady and leads to the progressive filtering of the small scales in the ensemble-averaged flow, a process that represents the loss of predictability due to chaos. Similar to the kinetic energy cascade, the uncertainty cascade displays an inertial range with a constant average uncertainty flux, which is bounded from below by the average kinetic energy dissipation. Locally in space, uncertainty fluxes differ from the SGS energy fluxes at the same scale, but both have similar statistics and are significantly correlated with each other in space. This suggests that uncertainty propagation is partly connected to the energy cascade and that they share similar mechanisms. These findings open avenues to model uncertainty propagation in turbulence following an approach similar to the SGS models in large-eddy simulations. This is relevant not only to efficiently assess the reliability and accuracy of turbulence forecasts, but also to design uncertainty-robust reconstruction techniques for data assimilation or SGS modelling.