We consider the community detection problem in sparse random hypergraphs under the non-uniform hypergraph stochastic block model (HSBM), a general model of random networks with community structure and higher-order interactions. When the random hypergraph has bounded expected degrees, we provide a spectral algorithm that outputs a partition with at least a $\gamma$ fraction of the vertices classified correctly, where $\gamma \in (0.5,1)$ depends on the signal-to-noise ratio (SNR) of the model. When the SNR grows slowly as the number of vertices goes to infinity, our algorithm achieves weak consistency, which improves the previous results in Ghoshdastidar and Dukkipati ((2017) Ann. Stat. 45(1) 289–315.) for non-uniform HSBMs.

Our spectral algorithm consists of three major steps: (1) Hyperedge selection: select hyperedges of certain sizes to provide the maximal signal-to-noise ratio for the induced sub-hypergraph; (2) Spectral partition: construct a regularised adjacency matrix and obtain an approximate partition based on singular vectors; (3) Correction and merging: incorporate the hyperedge information from adjacency tensors to upgrade the error rate guarantee. The theoretical analysis of our algorithm relies on the concentration and regularisation of the adjacency matrix for sparse non-uniform random hypergraphs, which can be of independent interest.

Indigenous-owned businesses in Australia are strong employers of Indigenous people, maintaining rates of Indigenous employment that are not seen across the breadth of the Australian economy. Despite an increasing focus from governments and private organisations to improve rates of Indigenous employment, there is limited evidence to suggest that substantial improvements are being made. Despite acknowledgement from government of the crucial role played by Indigenous employers in creating Indigenous employment, there has been little focus on what may be learned from the Indigenous business sector in informing public and private Indigenous workplace and recruitment policies. Given the significantly strong levels of Indigenous employment in Indigenous-owned businesses, it is important to interrogate the extent to which this employment differs from that in non-Indigenous businesses and the potential explanations for such divergence. Using data from Supply Nation (2,291 Indigenous-owned businesses) and a survey of 680 non-Indigenous businesses, this paper finds that Indigenous businesses employ Indigenous people at a rate 12 times higher than non-Indigenous businesses. Regression analyses and Oaxaca–Blinder decompositions reveal that these divergent employment outcomes cannot be explained by the broad characteristics of the two sectors (such as industry, location, or profit status). These findings help confirm that the unique workplace practices of Indigenous businesses may explain their strong Indigenous employment and, therefore, provide the template for all Australian businesses to be better employers of Indigenous people.

Asiatic cotton (Gossypium arboreum L.) has evolved in the Indian subcontinent and is known for its adaptability to low-input management conditions. In the present study, 300 diverse G. arboreum lines, including 100 Nandyal arboreum breeding lines (NAB), 132 Arboreum germplasm collections (AGC) and 68 long-linted arboreum genotypes (LLA), were evaluated for fibre quality to assess the diversity among them and to identify promising genotypes with desirable fibre traits. Significant variations were observed among the genotypes for the studied fibre-quality traits. Principal component analysis showed that the traits micronaire (Mic) and elongation percentage (E%) followed by upper half mean length (UHML) and bundle tenacity (tenacity) were the most significant contributors to variation. Cluster analysis based on the Euclidian distance method showed 16 clusters among 300 G. arboreum genotypes. The genotypes in cluster 4 have desirable UHML, tenacity and UI (uniformity index) traits, and cluster 12 has Mic and E% traits. Furthermore, the number of genotypes with desirable fibre-quality traits was found to be higher in the AGC group than in the LLA and NAB groups. The trait tenacity followed by the UHML showed relatively higher Shannon–Weiner diversity index values across different genotypic groups. Based on the superior performance, the genotypes PA 847, PA 809, PA 837, PA 863, NDLA 3147-2, NDLA 2974 and NDLA 3081 were found to be having desirable fibre traits. The identified promising genotypes are valuable genetic resources for improving fibre quality in G. arboreum cotton.

I argue that the use of elected political representatives undermines the political equality of citizens. Having elected representatives politically stand-in for individual constituents makes ordinary citizens the political inferiors of their representatives. This in turn creates democratically problematic social inequality between elected politicians and their constituents. I then offer an alternative to representative politicians that does not face the avatar of the people problem: representative mini-publics. Through these bodies, we can achieve a representative system without a class of political elites, where citizens share the responsibilities and powers of government as equals.

The aim of this systematic mixed-studies review is to summarise barriers/facilitators to adherence to and/or consumption of oral nutritional supplements (ONS) among patients with disease-related malnutrition. In March 2022, the Cochrane CENTRAL, PUBMED, PsycINFO (Ovid) and CINAHL were searched for articles with various study designs, published since 2000. Articles were identified on the basis of ‘population’ (patients ≥18 years with malnutrition/at nutritional risk), ‘intervention’ (ONS with ≥2 macronutrients and micronutrients), ‘comparison’ (any comparator/no comparator) and ‘outcome’ (factors affecting adherence or consumption) criteria. A sequential exploratory synthesis was conducted: first, a thematic synthesis was performed identifying barriers/facilitators; and second, the randomised controlled trials (RCTs) were used to support these findings. The five WHO dimensions of adherence guided the analysis. Study inclusion, data extraction, analysis and risk-of-bias assessment (MMAT 2018) were carried out independently by two researchers. From 21 835 screened articles, 171 were included with 42% RCTs and 20% qualitative studies. The two major populations were patients with malignancies (34%) and older adults (35%). In total, fifty-nine barriers/facilitators were identified. Patients’ health status, motivation, product tolerance and satisfaction as well as well-functioning healthcare routines and support were factors impacting ONS consumption. Few barriers/facilitators (n = 13) were investigated in RCTs. Two of those were serving a small ONS volume and integrating ONS into ward routines. Given the complexity of ONS adherence, non-adherence to ONS should be addressed using a holistic approach. More studies are needed to investigate the effect of different approaches to increase adherence to ONS.

Annona crassiflora is a fruit-bearing tree species native to the Cerrado that has ecological and economic potential, mainly due to the production of attractive and useful fruits for a number of species, including humans. To provide a basis for its conservation and breeding, the objective was to assess the diversity and genetic structure of natural populations of the species using inter-simple sequence repeat (ISSR) molecular markers. Eight populations were analysed in the state of Minas Gerais, Brazil, with 24 individuals randomly sampled in each population, reaching a total of 192 trees. Ten ISSR primers were used, resulting in high genetic diversity for the combined data (H* = 0.35 and I* = 0.52). However, a wide range of representative values was observed in the individual assessment of populations, with JAN, GM and MC standing out for their low genetic diversity, resulting in H* of 0.19, 0.23 and 0.24 and I* of 0.28, 0.34 and 0.35, respectively. An analysis of molecular variance showed greater variation within populations, indicating gene flow (Nm), but genetic differentiation between populations was moderate. Bayesian analysis, although resulting in four genetic groups, revealed the presence of a majority group for the GM and JAN populations. We propose measures to maintain these populations, such as raising awareness of local extractivism and planting genetically divergent seedlings. Furthermore, we recommend including of all populations in conservation and breeding programmes, aiming to cover the maximum genetic variation for the species.

A simplified configuration was developed to facilitate the mode transition process within an over-under Turbine-Based Combined Cycle (TBCC) inlet. Leveraging dynamic mesh technology, an unsteady numerical simulation of the mode transition was conducted, emphasising the flow characteristics of the mode transition and the impact of key similarity criteria numbers. The findings indicate that at an incoming Mach number of 2.0, the mode transition is paired with a continuous alteration in the capture mass flow of the high-speed duct. This continual change instigates the inlet unstarting, with subsequent flow characteristics being contingent on the historical effect, exhibiting a degree of hysteresis characteristics. When the scale effect is considered, it is observed that a larger model scale results in higher Reynolds (Re) and Strouhal (St) numbers. This directly contributes to a notable delay in the unstart moment, a decrease in the unstart interval, and an enlargement of the hysteresis loop. An examination of control variables reveals that the Re number marginally influences mode transition characteristics, while the St number’s effect constitutes approximately 90% of the scale effect. This conclusively demonstrates that the St number is the predominant similarity criterion number in the mode transition process.

Large and persistent racial disparities in land-based wealth were an important legacy of the Reconstruction era. To assess how these disparities were transmitted intergenerationally, we build a dataset to observe Black households’ landholdings in 1880 alongside a sample of White households. We then link sons from all households to the 1900 census records to observe their economic and human capital outcomes. We show that Black landowners, relative to laborers, transmitted substantial intergenerational advantages to their sons, particularly in literacy and homeownership. However, such advantages were small relative to the racial gaps in measures of economic status.

Let $\alpha $ be a complex valued $2$-cocycle of finite order of a finite group $G.$ The nth Frobenius–Schur indicator of an irreducible $\alpha $-character of G is defined and its properties are investigated. The indicator is interpreted in general for $n =2$ and it is shown that it can be used to determine whether an irreducible $\alpha $-character is real-valued under the assumption that the order of $\alpha $ and its cohomology class are both $2$. A formula, involving the real $\alpha $-regular conjugacy classes of $G,$ is found to count the number of real-valued irreducible $\alpha $-characters of G under the additional assumption that these characters are class functions.

In 1978, William Alwyn Lishman's Organic Psychiatry: The Psychological Consequences of Cerebral Disorder was published, fostering the development of neuropsychiatry and leading to the recognition of Lishman as the father of neuropsychiatry. This article is a narrative account of his personal struggles, as well as conceptual dilemmas he dealt with while writing this book, and how through its four editions it has evolved to become an anchor for psychiatrists as they seek to develop understanding of the workings of the brain, and a beacon for them when they discuss clinical implications of diagnosis with patients and families.

The COVID-19 pandemic destabilised the political, social, and economic life of countries as it spread around the world. It posed multiple threats to individuals, societies, and across different domains of life, highlighting their intersectionality and uneven impacts. The paper focuses on the UK and South Korea, countries which took very different paths in framing and addressing the crisis. It draws on secondary data and an integrated critical human security and state capacity approach to compare how state responses, institutional capacity, and the mobilisation of policy instruments themselves construct constellations of insecurity which intersect with human security and vulnerability. It will demonstrate the structural constraints that have continued to shape vulnerability and the dynamics of human security and insecurity in turbulent times.

Understanding the relationships between cetaceans and their environment is crucial for conservation. This study examined humpback whales in Bahía de Banderas, Mexico, identifying key calving habitats. From 2018 to 2023, 1066 sightings were recorded, including 242 mother–calf groups, 109 mating groups, and 715 other groups. Spatial analysis revealed a non-random distribution; both the Kruskal–Wallis and Wilcoxon–Mann–Whitney tests detected significant differences (P < 0.05) in site preferences. Calving mothers favoured habitats with a mean depth of 59 m and a distance of 2 km from the coast, while mating groups preferred locations at 126 m and 4 km, and other groups chose areas at 149 m and 4 km. All groups were found in relatively flat areas around 2° seafloor slope. A dispersion test indicated a significant relationship between the location of calving mothers and environmental factors. K-means clustering showed 83.6% of calving mothers' sightings at depths less than 40 m and 2 km from the coast. Ensemble species distribution models identified three critical calving areas: one large area (261.8 km2) along the north coast and two smaller areas (9.5 and 5.4 km2) at the southern end of the bay. This study highlights Bahía de Banderas as a vital breeding habitat for humpback whales, providing insights for conservation strategies to protect calving grounds during the breeding season.