Let $f:M\to M$ be a homeomorphism over a compact Riemannian manifold, ergodic with respect to a measure $\mu $ defined on the completion of the Borel $\sigma $-algebra, and $\mathcal F$ a f-invariant one-dimensional continuous foliation of M by $C^1$-leaves. Then, if f preserves a continuous $\mathcal {F}$-arc length system, then we only have three possibilities for the conditional measures of $\mu $ along $\mathcal F$, namely: (i) they are atomic for almost every leaf; or (ii) for almost every leaf, they are equivalent to the measure $\unicode{x3bb} _x$ induced by the invariant arc-length system over $\mathcal F$; or (iii) for almost every leaf, their support is a nowhere dense, perfect subset of the leaf. Furthermore, we show that restricted to ergodic partially hyperbolic diffeomorphism with one-dimensional topological neutral center direction, we are able to eliminate the third case obtaining a dichotomy.

This article estimates separate individual and partisan incumbencyeffects in Uruguay’s regional elections (1971–2020). It contributes tothe limited evidence on incumbency effects in developing countries andto the emerging Differences-in-Discontinuities (Diff-in-Disc)literature, which addresses endogeneity and disentangles candidatefrom party effects within the same institutional setting. Exploitingconstitutionally mandated term limits and strong electoralenforcement, we identify clean causal effects using close electionsunder open and closed races. Results show a large and statisticallysignificant individual incumbency effect of approximately 74%,alongside non-significant partisan effects. These findings suggestthat incumbency in Uruguay is primarily personal rather thanparty-based. The results contribute to debates on personalization ofpolitics, proportional representation, and institutional developmentin Latin America, highlighting how strong democratic institutions cancoexist with highly individualized electoral dynamics.

We present multi-wavelength observations of the nearby spiral galaxy NGC5938 (Araish) to investigate the origin of its radio emission, specifically the contribution from active galactic nucleus (AGN) activity and star formation. Using Evolutionary Map of the Universe (EMU) data, we detect extended radio emission extending outwards to the galactic axis, with a steep non-thermal spectral index (α = −1.2 ± 0.2) indicative of synchrotron radiation from an AGN jet. The jet has a physical extent of ≈ 8.2 kpc (angular length of 64″). Multi-wavelength data from The Dark Energy Camera Plane Survey 2 (DECaPS2),Wide-field Infrared Survey Explorer (WISE), and extended Roentgen Survey with an Imaging Telescope Array (eROSITA) provide further support for this interpretation. The colour-colour diagram presenting WISE infrared observations suggests the presence of dust and young stars that trace the galaxy’s disk structure. Our analysis reveals a radio jet, alongside star formation traced by infrared emission, demonstrating the complex interplay of AGN activity and star formation in this well-resolved galaxy. Intriguingly, the spatial relationship reveals the brighter X-ray emission to be largely adjacent to and enveloping the extended radio emission. This suggests that the radio jet, while extending at a significant angle to the galactic disk, is confined by the larger X-ray gas/halo, similar to other systems (i.e., ESO 295–IG022, Centaurus A) and may indicate jet collimation and channelling effects.

This paper investigates the complexity of residual lifetimes of live components in coherent systems through the lens of cumulative residual extropy and its divergence-based extension, Jensen-cumulative residual extropy. Unlike classical reliability metrics that focus on system inactivity or mean residual life, our framework quantifies the hidden informational structure of components that remain alive at the system failure time. We derive closed-form expressions for the cumulative residual extropy of conditional residual lifetimes using system signatures and establish stochastic bounds and comparisons that highlight the impact of structural configuration. A novel divergence measure, the Jensen-cumulative residual extropy, is introduced to capture discrepancies between coherent systems and benchmark $k$-out-of-$n$ structures. Numerical illustrations with gamma-distributed lifetimes demonstrate the sensitivity of cumulative residual extropy and Jensen-cumulative residual extropy to redundancy patterns and dependence structures. Furthermore, by integrating cost considerations into the divergence framework, we provide a rigorous optimization scheme for selecting system signatures that jointly minimize informational complexity and economic expenditure. The proposed approach enriches the theoretical foundation of reliability analysis and offers practical guidelines for designing resilient, cost-effective, and information-efficient engineering systems.

This paper explores the ontological relationship between descriptive and normative by drawing on the perspectives of Ludwig Wittgenstein and Martin Heidegger. Through Wittgenstein’s concept of “grammar” and Heidegger’s notion of das Man, we see that normativity shapes human perception and interpretation, making descriptive neutrality unattainable. Descriptions are always informed by norms and norms evolve by descriptions. This intertwined relationship has significant implications for business ethics, since ethical conflicts can now be reframed as lack of normative references. Ultimately, the paper proposes a perspective of moral perspectivism.

This article explores the development of the Yugoslav blood transfusion system and practices, analysing them from their beginnings in the 1920s to the end of Yugoslavia. It shows that Yugoslav doctors experimented with blood transfusion almost as early as their international colleagues. Nevertheless, it took a massive effort by the post-war Yugoslav communists to develop the infrastructure, workforce, blood production system and modern practices needed to meet ever-growing demands. I show that Yugoslav communists based their organisational framework on the Soviet model with assistance from Soviet specialists, yet I argue that Yugoslav doctors also followed practices in the West. Furthermore, I show that the development of voluntary blood donation in Yugoslavia represented a departure from the earlier Soviet system based on paid donation and reflected diverse international influences. Following the split with the Soviet Union and the adoption of a non-aligned foreign policy, Yugoslav healthcare developed without adhering to a single political model and Yugoslav doctors were eventually able to participate freely in the exchange of knowledge with both the Western and Eastern blocs. However, the article also shows that once the blood donation system relied on incentives, making it fully voluntary proved almost impossible, a problem that became acute when Yugoslav socialism collapsed and the socialist economy disappeared. Finally, by situating Yugoslav healthcare within a transnational history paradigm, this article demonstrates the importance of examining the circulation of ideas in health, as medical practices were shaped by complex and overlapping international influences rather than by a single political system.

Limpets are abundant and ecologically important gastropods in intertidal and some riverine ecosystems, yet their role in trematode transmission remains comparatively understudied. We investigated trematode infection in intertidal limpets from Otago Harbour, New Zealand, using a molecular approach. Two species were identified: the avian schistosome Gigantobilharzia cf. patagonensis in Siphonaria australis and Acanthoparyphium sp. A metacercariae in Notoacmea sp. Gigantobilharzia cf. patagonensis was detected at all five sampling sites, with prevalence ranging from 2.6% to 100%. Haplotype network analysis using cox1 revealed high haplotype diversity and a star-like topology, suggesting a recent population expansion. This study expanded the known diversity of marine schistosomes in the region and raises potential public health concerns with cercarial dermatitis. We also conducted a literature synthesis further demonstrating that limpets contribute to trematode transmission across 12 superfamilies and 23 families, with distinct parasitism profiles between freshwater and marine environments. These findings highlight limpets as overlooked but significant hosts in trematode ecology and emphasize the need for broader surveys and definitive host screening to resolve incomplete life cycles and assess epidemiological risks in coastal ecosystems.

We propose a bio-psycho-socio-anthropological (BPSA) model that mainstreams cultural formulation and power-aware practice across training, interventions and evaluation. Contrasting it with transcultural and community models, we show UK examples where embedding cultural insight in statutory decisions reduced detentions and improved engagement, aligning with national equality priorities.

The thesis of this article is that the understanding of the vocation of an artist in the writings of Jacques Maritain emerges as to develop habitus (practical virtues of the intellect) in order to direct their inspirations in order to make beautiful things that convey the spiritual heritage of the nation and the civilization and inspire others to contemplate God. This vocation to be an associate of God in creating beautiful works is a powerful reminder of the close relationship between all personal vocations and the common good. First I explore Maritain’s conversion to Catholicism, including through the arts. I next clarify Maritain’s Thomistic understanding of art as one expression of the illuminating intellect. I then review Maritain’s writings about the arts in education. I conclude with theological and pastoral reflections on the vocation of an artist.