An element x of a lattice L is modular if L has no five-element sublattice isomorphic to the pentagon in which x would correspond to the lonely midpoint. We classify all modular elements of the lattice of all monoid varieties.

This talk examines how corpus linguistics and artificial intelligence treasure the potential to reshape contemporary language learning ecologies. It argues that the rapid normalisation of generative AI has intensified the need for pedagogical models that combine low-friction access to language support with transparent methods grounded in attested usage. Drawing on ecological perspectives and recent empirical research, the talk shows how AI-driven environments expand opportunities for language learning while creating risks related to opacity and over-reliance. Corpus linguistics, data-driven learning and corpus literacy offer a complementary foundation by providing traceable evidence, reproducible analyses, and practices that foster learners’ critical judgement. Two convergence scenarios are proposed: AI as an extension of DDL, and corpus literacy as the operational core of critical AI literacy. Together, these scenarios illustrate how open-box pedagogies can reconcile responsiveness and accountability, ensuring that AI-mediated learning remains anchored in transparent processes and empirically grounded language knowledge.

Experts step into global governance most prominently in times of crisis. But if crisis governance at international organizations (IOs) involves the construction of specific temporal horizons, how do these horizons affect the constitution of expert authority? This article argues that expertise produced under such conditions – to meet a demand for ‘timely’ knowledge – differs substantively from other kinds of expertise. Crisis governance thus contributes in notable ways to the pluralization of expertise. The article examines this phenomenon in the case of the relatively recent proliferation of rapid response mechanisms (RRMs). By examining the making and implementation of RRMs at two major IOs – the World Health Organization and the World Food Programme – the article offers a new understanding for how RRMs have become part of institutional repertoires of expertise. Based on this, it contends that RRM-based timeliness claims a shift in expert knowledge production from credentialed individuals to infrastructures and standardized procedures; second, they prioritize large homogenous datasets over consultation and contestation among different experts; and third, they streamline expert selection such that experts are recruited from existing intra-institutional pools rather than third parties. Jointly, these shifts speed up monitoring and reaction capabilities, but also risk eroding important checks on expert overconfidence.

The Incas territorial expansion process was motivated not only by ideological, political, and economic factors but also involved the ritual integration of ancient sanctuaries through capacocha offerings. Notable examples include the Sacred Rock (Roca Sagrada) of the Island of the Sun (Lake Titicaca) and the Oracle of Pachacamac (Lurín Valley). The antiquity of these two sanctuaries, combined with their roles as destinations for imperial-scale pilgrimages during the Inca period, underscore their significance and uniqueness and the role of the capacocha ritual to connecting places into the Inca world. The material correlates associated with numerous capacocha rituals recorded in the Andes demonstrate that this ritual adhered to standardized conventions and criteria. The canonical archaeological remains of capacocha are characterized by human sacrifices and specific offerings, particularly anthropomorphic figurines made of precious metals or Spondylus. The absence of human corpses in certain contexts can be attributed to taphonomic factors but also to ritual adaptations specific to the locations where they were discovered. In this article, we develop this adaptive model for two of the major sites of Inca cosmology: Lake Titicaca and Pachacamac, emphasizing their close connection to Cuzco, the imperial capital and center of the Inca world.

We consider the filtering problem associated with partially observed McKean–Vlasov stochastic differential equations (SDEs). The model consists of data that are observed at regular and discrete times; the objective is to compute the conditional expectation of (functionals) of the solutions of the SDE at the current time. This problem is challenging even in the ordinary SDE case and requires numerical approximations. Based on the ideas in Ben Rached et al. (2024) and dos Reis et al. (2023), we develop a new particle filter (PF) and multilevel particle filter (MLPF) to approximate the aforementioned expectations. We prove under assumptions that, for $\varepsilon>0$, to obtain a mean square error of $\mathcal{O}(\varepsilon^2)$ the PF has a cost per observation time of $\mathcal{O}(\varepsilon^{-5})$, and the MLPF costs $\mathcal{O}(\varepsilon^{-4})$ (best case) or $\mathcal{O}(\varepsilon^{-4}\log(\varepsilon)^2)$ (worst case). Our theoretical results are supported by numerical experiments.

The objective of the current study was to evaluate 30 previously uncharacterized pure plant secondary metabolites (PSM) for effects on in vitro gas production (GP) and methane concentration. Purified compounds (n = 4) were incubated in buffered rumen fluid for 48 h at a rate of 25 mg per g substrate. Gas production was measured using ANKOM RF pressure analysers and gas composition was measured using gas chromatography. Dry matter and fibre digestibility and volatile fatty acid (VFA) concentrations were determined. Data were analysed using a linear mixed model with fixed effect of treatment, random effect of experimental run and blank as a covariate and Dunnett’s test to compare each treatment to a control. Sabenine, apigenin, galangin, isoliquirtigenin, quercetin, rutin, vitexin, abscisic acid, and uridine reduced methane concentration, with a tendency for reduction by kaempherol. Sabenine, thymol, apigenin, quercetin, rutin, vitexin, abscisic acid, and uridine reduced methane production, with the greatest reduction occurring for rutin (81.8%), vitexin (81.7%), and thymol (80.5%). Eight compounds increased methane production compared to control, with stigmasterol having the greatest increase (173.0%). Out of the compounds that reduced methane emissions, a reduction in fibre digestibility was observed for all except quercetin and thymol. Minimal effects of PSM on VFA profile were observed, with myrtenal increasing proportion of acetate, alpha-humulene, alpha-longipinene and beta-caryophyllene increasing proportion of propionate, and thymol, apigenin, hyperoside, and verbenone increasing proportion of butyrate. Results suggest that quercetin and thymol warrant further exploration as potential feed additives to reduce methane emissions.

This article presents and discusses a table of audiovisual transformations based on practice-based experience. The transformations were designed to reinforce the link between sound and object by considering what a particular audio process would look like if translated into visual form. The creative work involves installations that focus on objects integrated with projection mapping and electroacoustic sound. Examples of other artists who create object-based works are introduced, followed by a discussion around how electroacoustic music can influence audiovisual approaches. Screen and installation-based audiovisual theory expands on this and links to a two-part table of transformation strategies. The first part of the table describes process-based links that were created to imagine how certain electroacoustic studio techniques would translate to alter visual material. The second part describes broader conceptual links between audio and visual elements. The findings offer an insight into how electroacoustic practice can inform audiovisual composition choices. Whilst the intended use was for sound installations, there is significant scope for others to adopt and adapt the transformation strategies beyond this, including visual artists who wish to work with sound and those seeking to further theorise audiovisual relationships in a variety of settings.

This study conducted an approximate replication of Teravainen-Goff (2023) to validate the Intensity and Perceived Quality of Engagement Scale for university students in the Japanese EFL context. Teravainen-Goff (2023) developed this scale based on an action-oriented definition of engagement and proposed a novel approach to measuring engagement among secondary school language learners in the UK. The study identified an 18-item, five-factor structure from a pool of 36 items through exploratory factor analysis (EFA). In this replication, we examined the validity and reliability of Teravainen-Goff’s scale in a different context, focusing on the replicability of the EFA results. We undertook this replication because engagement is context-dependent and EFA results can vary across samples. We compared the factorial structure with that of the initial study while modifying the target language and participant demographic. Results revealed a 22-item, six-factor structure with good fit. Although the same underlying factors emerged, several notable differences were observed. This approximate replication provided stronger evidence for the psychometric properties of the scale in a new context. Transparent documentation of modifications to the initial study and systematic comparison offered a promising approach to building robust evidence for engagement research and improving the rigour of questionnaire-based research overall.

This article argues that the extent and longevity of dry conservancy systems in urban England between the 1870s and 1920s is underappreciated for its impact on health and disease. Using Birmingham as a case-study, it advances knowledge on the systemized development of municipal pail systems and offers a deeper understanding of living with conservancy. It draws out the importance of looking at the fly problem and the transmission relationship, largely ignored until the second decade of the twentieth century. It also explores and challenges existing ideas in the debates surrounding investment in sanitation infrastructure and mortality decline.

The confirmatory factor analysis technique was used to quantify a latent variable for test-day lactation performance (TDLP) in the first parity of Chinese Holstein dairy cows by applying five measurable traits, including test-day milk yield (TDMY), test-day milk fat percentage (TDFP), test-day milk protein percentage (TDPP), test-day somatic cell score (TDSCS) and test-day milk urea nitrogen (TDMUN). The standardised factor loadings of TDMY, TDFP, TDPP, TDSCS, and TDMUN for describing TDLP were 0.46, −0.52, −0.70, −0.14 and −0.19, respectively. Genetic analysis was conducted using a multivariate repeatability model within a Bayesian framework. The posterior means for the heritability and repeatability estimates of TDLP were 0.26 ± 0.02 and 0.34 ± 0.02, respectively. In general, posterior means for heritability and repeatability estimates of the measurable traits were low to medium. The heritability estimates ranged from 0.05 for TDSCS to 0.28 for TDPP, and repeatability estimates ranged from 0.15 for TDMUN to 0.38 for TDMY. The latent variable of TDLP exhibited positive genetic (0.62) and phenotypic (0.40) correlations with TDMY, whereas its genetic and phenotypic correlations with other measurable traits were negative, ranging from −0.96 (TDLP–TDPP) to −0.11 (TDLP–TDSCS). The corresponding phenotypic correlations ranged from −0.85 (TDLP–TDPP) to −0.07 (TDLP–TDSCS). It may be concluded that breeding for higher TDLP might increase TDMY but could reduce milk composition traits. In general, the negative genetic and phenotypic correlations suggest a trade-off between milk quantity (yield) and quality (composition).

Vitamin D deficiency is a common nutritional problem in exclusively breastfed infants. Dilated cardiomyopathy is a rare but potentially fatal complication of this condition. We describe a 15-month-old who presented with cardiogenic shock. Laboratory and radiographic findings were consistent with vitamin D deficiency. Metabolic parameters normalised within one week and echocardiography normalised by 19 months after supplementation. Although rare, severe vitamin D deficiency must be on the differential for young children presenting with new-onset dilated cardiomyopathy. Clinicians must maintain a high index of suspicion for vitamin D deficiency in at-risk populations to prevent potentially life-threatening complications.