The present article offers a new interpretation of the gladiatorial graffiti preserved within the Flavian Amphitheatre from a contextual perspective. Although recent scholarship has set a solid foundation for investigating the role and nature of gladiatorial graffiti, a contextual examination of this epigraphic category represents a major desideratum. The article investigates graffiti within the epigraphic environment of the Flavian Amphitheatre. It examines the juxtaposition of graffiti and official inscriptions, their interaction with spatial and material surroundings and their distinctiveness as visual and material media with which to perpetuate the fleeting arena performances. By combining close reading with a new visual representation of gladiatorial graffiti – created digitally upon autoptic study – the article provides the reader with the first systematic analysis of this exceptional epigraphic record. Challenging critical notions of impermanence and instability, the article explores strategies of memorialization and techniques of temporality performed by graffiti, inviting reflection on the negotiation of and paradoxical takes on the contradictory concept of monumentality in the arena.

Immunity activation and inflammation are the main characteristics of rheumatoid arthritis and clonal hematopoiesis. However, it remains unclear whether rheumatoid arthritis increase the risk of clonal hematopoiesis. Here, a Mendelian randomization (MR) analysis was conduct to explore the causal effects of rheumatoid arthritis on clonal hematopoiesis. Summary statistics data of rheumatoid arthritis (13,838 cases and 33,742 controls) and clonal hematopoiesis (10,203 cases and 173,918 controls) derived from a genomewide association study were selected to analyze. We selected inverse-variance weighted, MR-Egger, weighted median, simple mode, and weighted mode to evaluate the causal effect of rheumatoid arthritis on clonal hematopoiesis. The two-sample MR analysis suggested a strong causal relationship between rheumatoid arthritis and clonal hematopoiesis by inverse-variance weighted (OR = 1.002311673, 95% CI [1.000110757, 1.004517433], p = .039706) and weighted median (OR = 1.002311673, 95% CI [1.000110757, 1.004517433], p = .039518447) methods. No significant pleiotropy or heterogeneity was found in the sensitivity analysis. These results supported a potentially causal relationship between rheumatoid arthritis and clonal hematopoiesis, and the exposure of rheumatoid arthritis increased the risks of clonal hematopoiesis. Our findings highlight the importance of how chronic inflammation and immune activation induced rheumatoid arthritis enhances the risks of clonal hematopoiesis, and that early intervention with rheumatoid arthritis patients might reduce the clonal hematopoiesis risks in rheumatoid arthritis patients. Moreover, our study provides clues for prediction of risk factors and potential mechanisms of clonal hematopoiesis.

The effect of single dietary fibre (DF) on lowering uric acid (UA) level has been reported in the literature. However, the potential protective mechanism of DF against potassium oxybate-induced hyperuricaemia (HUA), as modelled by prophylactic administration, remains unclear. The data demonstrate that DF significantly decreased serum and cerebral tissue UA concentrations, inhibited xanthine oxidase expression and activity in the liver and reduced levels of creatinine and urea nitrogen in the serum. Additionally, it mitigated the deposition of amyloid-β in cerebral tissue. Correlation analysis showed that DF modulated the Toll-like receptor 4/NF-κB signalling pathway, attenuating oxidative stress and inflammatory responses in HUA mice. Additionally, DF helps to maintain the composition of the gut microbiota, reducing harmful Desulfovibrio and enriching beneficial Akkermansia and Ruminococcus populations. The results of the faecal metabolomics analysis indicate that DF facilitates the regulation of metabolic pathways involved in oxidative stress and inflammation. These pathways include pyrimidine metabolism, tryptophan metabolism, nucleotide metabolism and vitamin B6 metabolism. Additionally, the study found that DF has a preventive effect on anxiety-like behaviour induced by HUA. In summary, DF shows promise in mitigating HUA and cognitive deficits, primarily by modulating gut microbiota and metabolites.

An integer partition of a positive integer n is called t-core if none of its hook lengths is divisible by t. Gireesh et al. [‘A new analogue of t-core partitions’, Acta Arith. 199 (2021), 33–53] introduced an analogue $\overline {a}_t(n)$ of the t-core partition function. They obtained multiplicative formulae and arithmetic identities for $\overline {a}_t(n)$ where $t \in \{3,4,5,8\}$ and studied the arithmetic density of $\overline {a}_t(n)$ modulo $p_i^{\,j}$ where $t=p_1^{a_1}\cdots p_m^{a_m}$ and $p_i\geq 5$ are primes. Bandyopadhyay and Baruah [‘Arithmetic identities for some analogs of the 5-core partition function’, J. Integer Seq. 27 (2024), Article no. 24.4.5] proved new arithmetic identities satisfied by $\overline {a}_5(n)$. We study the arithmetic densities of $\overline {a}_t(n)$ modulo arbitrary powers of 2 and 3 for $t=3^\alpha m$ where $\gcd (m,6)$=1. Also, employing a result of Ono and Taguchi [‘2-adic properties of certain modular forms and their applications to arithmetic functions’, Int. J. Number Theory 1 (2005), 75–101] on the nilpotency of Hecke operators, we prove an infinite family of congruences for $\overline {a}_3(n)$ modulo arbitrary powers of 2.

Axial fans are vital accessories in aircraft ventilation systems, but, they may experience erosion from particulate flows, causing a decline in effectiveness over time. This study investigated the trajectories of two types of sand particles and erosion in an axial fan stage, considering the relative position of the blades facing the inlet guide vanes.

The movement of particles was simulated using an in-house code that implements a Lagrangian approach along with a stochastic particle-eddy interaction model. The flow field was solved separately and the flow data was transferred to the particle trajectory code. The finite element method allowed for the tracking of particles through the computational cells and accurate determination of their impact positions. A semi-empirical erosion correlation was used to evaluate the local erosion rates, mass removal, and geometry deterioration.

As a result, the rotor exhibits a high frequency of impacts and significant erosion on the leading edge of the blade, extending to the upper corner of the pressure side and blade tip, as well as the front of the suction side. In the inlet guide vane, the erosion is spread out along the entire pressure side but at lower erosion rates compared to the rotor blade. The erosion patterns obtained at different pitch-wise positions were cumulated to get better representation of erosion patterns. After being exposed to MIL-E5007E sand (0–1000 $\unicode{x03BC}$m) at the highest concentration for 10 hours, the blade experienced a reduction of a 0.29% in mass, a 0.45% decrease in tip chord, and a 0.23% increase in tip clearance. On the other hand, AC-coarse sand (0–200 μm) resulted in a 0.23% decrease in blade mass, a 0.4% reduction in tip chord, and a 0.16% increase in tip clearance.

The data that is available can be used to monitor the lifespan of axial fans of similar design and select appropriate coatings to protect against erosion.

It is proved that for families of stochastic operators on a countable tensor product, depending smoothly on parameters, any spectral projection persists smoothly, where smoothness is defined using norms based on ideas of Dobrushin. A rigorous perturbation theory for families of stochastic operators with spectral gap is thereby created. It is illustrated by deriving an effective slow two-state dynamics for a three-state probabilistic cellular automaton.

In 1955–6, three thousand German-speaking men were ‘repatriated’ from Czechoslovak forced labour camps, where they mined uranium, to West Germany, where they demanded benefits for health damage from radiation exposure. These men connected their group's experiences to the fears and developments of early Cold War West Germany, personifying the health risks of the Atomic Age and citizens’ demands that their states offer protection from such risks. These men contributed to public awareness of radiation health risk and to ambivalence about safe ‘peaceful nuclear technology’ in the late 1950s and 1960s, earlier than is usually assumed. They further inspired concrete policy changes, especially in occupational health protection, illustrating that post-war responses to nuclear technology emerged from the intersection of longer historical experience, specialised local knowledge and grassroots activism, as well as from post-war scientific and political developments. It further shows long-lasting expellee influence in unexpected areas of West German policy.

Ever more doubts are being raised over the ‘transformative potential’ of the Women, Peace and Security (WPS) agenda and whether it brings us closer to realising feminist peace. Underpinning a current of WPS activism and scholarship is a radical conceptualisation of feminist peace rooted in anti-militarism, anti-capitalism, and anti-imperialism. This strand shares many commonalities with abolition feminism, yet the two literatures and movements are rarely put in conversation. While both begin from similar political commitments and analyses of the international system, they propose radically different solutions for bringing about feminist liberation. Building on this observation, we ask: (1) how would abolition feminism explain why the WPS agenda has often failed to make progress towards a radical vision of feminist peace?; and, as a corollary, (2) what does abolition feminism demand of the WPS agenda? First, using the framework of ‘reformist’ and ‘non-reformist reforms’, we argue that many WPS policies are better understood as reformist rather than transformative. Second, we argue that abolitionist thinking suggests deeper critiques of WPS than those often put forward by its anti-militarist critics, based on a broader conceptualisation of militarism. Ultimately, abolition feminism demands non-reformist, anti-carceral solutions that raise challenging questions about pathways towards feminist peace.

The intra-ovarian presence of ootids, i.e. female gametes that have completed meiosis, is considered exceptional in the animal kingdom. The present study explores the first such case to be reported in a sea cucumber (Echinodermata: Holothuroidea). In the overwhelming majority of animals, including holothuroids, oocytes (i.e. immature female gametes) that are developing in the ovary undergo a primary arrest at the prophase stage of meiosis, which may last from days to decades. In free-spawning taxa, this arrest is normally lifted only during or shortly before transit in the gonoduct, when gamete release (spawning) is imminent. However, oocytes of the holothuroid Chiridota laevis were discovered to have resumed the second meiotic division including the completion of germinal vesicle breakdown and polar-body expulsion inside the ovary, effectively reaching the ootid stage concomitantly with ovulation (i.e. escape from follicle cells) prior to spawning. The potential drivers and significance of this exceptionally rare case of full intra-ovarian oogenic maturation are discussed.

Regolith-hosted rare earth element (REE) deposits hosted by the granitic regolith in South China provide >90% of the world’s heavy REEs. Kaolinite is one of the major carriers of REE ions in regolith. The formation and transformation of kaolinite can be affected by chemical weathering and hydrodynamic conditions, but the contribution of each factor has not been evaluated. This study systematically investigated the variation in abundance of phyllosilicate minerals and structural order of kaolinite in the Renju regolith-hosted REE deposit. The total abundance of 1:1 phyllosilicate minerals increased upwards along the profile from Section I to Section III. However, semi-quantitative analyses indicated that Section III-1 (depth at 10–16 m) featured an evident decrease in both abundance and structural order of kaolinite upward along the profile. The morphological feature and abundance of kaolinite revealed intensive kaolinite-to-halloysite transformation and kaolinite dissolution in Section III-1. This suggests that the alternating wetting and drying zone in Section III-1 provided a favorable kinetic environment for the entry of water molecules into the kaolinite interlayer and the kaolinite-to-halloysite transformation, resulting in both lower structural order and abundance of kaolinite in Section III-1. Moreover, REE ions started to be enriched from the alternating wetting and drying zone and formed high-grade ores at the lower part of the water table, due to a significant increase in pore water and decrease in the seepage velocity. Therefore, the abundance and structural order of secondary kaolinite can serve as important indicators of hydrodynamic changes in regolith, as well as the mineralization of regolith-hosted REEs.

The main objective of the present paper is to present a version of the Tannaka–Krein type reconstruction theorems: if $F:{\mathcal B}\to {\mathcal C}$ is an exact faithful monoidal functor of tensor categories, one would like to realize ${\mathcal B}$ as category of representations of a braided Hopf algebra $H(F)$ in ${\mathcal C}$. We prove that this is the case iff ${\mathcal B}$ has the additional structure of a monoidal ${\mathcal C}$-module category compatible with F, which equivalently means that F admits a monoidal section. For Hopf algebras, this reduces to a version of the Radford projection theorem. The Hopf algebra is constructed through the relative coend for module categories. We expect this basic result to have a wide range of applications, in particular in the absence of fiber functors, and we give some applications. One particular motivation was the logarithmic Kazhdan–Lusztig conjecture.

While the importance of innovation alliance for high-technological firms is well-documented, existing literature provides little guidance on the role of performance feedback in an alliance governance structure choice. Drawing on performance feedback theory, this study sheds light on the association between performance deviating (either above or below) from firms’ social aspirations and the governance structure choice of innovation alliances. Using an unbalanced panel of Chinese biopharmaceutical firms spanning from 2007 to 2020, we find that firms experiencing negative performance feedback prefer a non-equity innovation alliance structure, whereas those with positive performance feedback are more likely to adopt an equity one. The strength of these relationships is contingent on top management team average tenure and educational-level diversity. Our findings both provide theoretical and practical insights into guiding how firms under different states of performance feedback select alliance governance structures.

An enduring puzzle for theorists of autonomy in the broadly Kantian tradition is how to theorize failures of practical reason. If norms of practical rationality are supposed to be constitutive of agency itself, how can failures to live up them nonetheless be understood as expressions of that agency? Hegelian diagnoses of these difficulties typically emphasize the dichotomies that structure Kantian theories of autonomy, between activity and passivity, reason and nature, norm and desire. They seek to flesh out an alternative that preserves a recognisably post-Kantian notion of autonomy whilst understanding freedom as something that essentially comes in degrees, insisting that self-determination always involves elements of other-determination, and stressing how free subjectivity is inseparable from socio-historically and institutionally bounded character-formation. This article contributes to articulating a Hegelian corrective to Kantian theories of autonomy by beginning to explain the role of habit in Hegel's conception of agency. Building on recent work on Hegel's metaphysics of expression, it shows how he allows us to see conative responses to the world as integral to character development and thus as expressive of free agency, rather than as interruptions to the proper functioning of practical reason. On Hegel's account, the expressive behaviour of mature, reflective agents is grounded in a pre-intentional, affective dimension of subjectivity and presupposes processes of habituation, which he locates at the level of the human ‘soul’. Habit, far from being ‘lifeless, contingent and particular’, is the means by which agents come to make objective contents their own. Understanding the role of habit in Hegel's system is integral to allowing an alternative conceptualization of autonomy to come into view, one on which rational agents express themselves through their affective and emotional responses, rather than merely being a contingent site of those responses.