Dance for older adults is increasingly being used to support health and well-being. While dance may be enjoyable for many, understanding its benefits for those with limited physical and cognitive abilities may provide further support for how dance may be used in these contexts. This was a study of Sharing Dance Older Adults, a dance program with remotely streamed sessions. Data were collected from 48 older adults who took part in the On Your Feet version of the program, and from 38 who took part in the In Your Seat version. Measures included interviews, physical fitness tests and surveys on mood, quality of life, and program satisfaction. Physical fitness significantly improved for both groups, unlike for mood, social well-being, or quality of life. This contrasts with qualitative findings, with participants reporting how the program enhanced their mood, social interactions, and quality of life.

The challenge that delegated legislation poses to parliamentary sovereignty and associated supremacy in the UK is purportedly addressed through what we term the ‘constitutional bargain of delegated law-making’. This has three elements: the proper limitation of delegation by Parliament through well-designed parent legislation; the exercise of self-restraint by the Executive in the use of delegated authority; and the enablement of meaningful scrutiny by Parliament. As a paradigm situation in which delegated law-making might be said to be necessary, the first year of the Covid-19 pandemic is an apposite context in which to assess the robustness of that bargain. Our analysis uses a sample of Westminster-generated pandemic-related secondary instruments as a peephole into the broader dynamics of this constitutional bargain and further reveals its significant frailties; frailties that are exposed, but not created, by the pandemic.

This paper is concerned with a nonlocal reaction–diffusion system with double free boundaries and two time delays. The free boundary problem describes the evolution of faecally–orally transmitted diseases. We first show the well-posedness of global solution, and then establish the monotonicity and asymptotic property of basic reproduction number for the epidemic model without delays, which is defined by spectral radius of the next infection operator. By introducing the generalized principal eigenvalue defined in general domain, we obtain an upper bound of the limit value of basic reproduction number. We discuss the spreading and vanishing phenomena in terms of the basic production number. By employing the perturbed approximation method and monotone iteration method, we establish the existence, uniqueness and monotonicity of solution to semi-wave problem. When spreading occurs, we determine the asymptotic spreading speeds of free boundaries by constructing suitable upper and lower solutions from the semi-wave solutions. Moreover, spreading speeds for partially degenerate diffusion case are provided in a similar way.

Crabgrass (Digitaria spp.) is an annual summer grass capable of self-reseeding and can provide forage with high nutritive value. However, knowledge is still limited about crabgrass management. Our objective was to compare the forage accumulation (FA) and nutritive value of two crabgrass varieties (Mojo and Quick-N-Big) for 2 years under combinations of nitrogen rates and harvesting management. The experimental design was in randomized complete blocks with five treatments and three replications for each crabgrass variety, totalling 15 experimental units for Mojo and 15 for Quick-N-Big, in adjacent fields. Treatments were combinations of nitrogen rates (0, 112, and 224 kg N/ha) and harvest management (harvesting once or twice during the growing season). Nitrogen fertilization increased FA in Mojo and Quick-N-Big. The combination of two harvests and 224 kg N/ha (H2N224) resulted in a total forage accumulation (TFA) of 7840 kg DM/ha/yr for Mojo in 2020 and 8550 kg DM/ha/yr for Quick-N-Big in 2021. The H2N224 management also resulted in the highest crude protein (CP) accumulation. Nitrogen fertilization accelerates plant maturity, which can increase neutral detergent fibre (NDF). In this case, harvesting twice stimulates new tissue production, limits NDF and increases CP and total digestible nutrients (TDN). Therefore, increasing harvesting frequency (twice during the growing season) as N is input increases TFA, CP and TDN, and also enhances N recovery, which may contribute to reducing animal supplementation costs and improve the economic return of forage-based livestock systems.

The offspring of women in the poorest socio-economic groups in Western societies have an increased risk of developing non-communicable disease in adult life. Deprivation is closely related to the consumption of a diet with an excess of energy (sugar and fat), salt and a shortage of key vitamins. To test the hypothesis that this diet adversely affects the development and long-term health of the offspring, we have formulated two rodent diets, one with a nutrient profile corresponding to the diet of pregnant women in the poorest socio-economic group (DEP) and a second that incorporated current UK recommendations for the diet in pregnancy (REC). Female rats were fed the experimental diets for the duration of gestation and lactation and the offspring compared with those from a reference group fed the AIN-93G diet. The growth trajectory of DEP and REC offspring was reduced compared with the AIN-93G. The REC offspring diet had a transient increase in adipose reserves at weaning, but by 30 weeks of age the body composition of all three groups was similar. The maternal diet had no effect on the homoeostatic model assessment index or the insulin tolerance of the offspring. Changes in hepatic gene expression in the adult REC offspring were consistent with an increased hepatic utilisation of fatty acids and a reduction in de novo lipogenesis. These results show that despite changes in growth and adiposity maternal metabolic adaptation minimises the adverse consequences of the imbalanced maternal diet on the metabolism of the offspring.

Seed coat colour in adzuki bean is an important quality trait and closely associated with anthocyanin metabolism pathways. To further understand the inheritance of seed coat colour pattern, the inheritance between multiple seed coat colours and ivory seed were analysed using F1:2, F2:3 and F3:4 populations derived from five bi-parental crosses. The differences between ivory and red mottle on ivory are controlled by a single recessive R locus and RI locus, respectively. Green, light brown and golden are all dominant to red and governed by two loci. The B (brown) locus shows dominant epistasis over T locus. The R (red) locus was recessive epistasis to B (black), T (light brown), G (golden), GR (green) and RI (red mottle on ivory) loci. The new insight into the strong recessive epistasis of the R locus will be important for gene mapping and cloning, candidate gene functional validation and quality improvement in adzuki bean.

In this note, we revisit Ramanujan-type series for $\frac {1}{\pi }$ and show how they arise from genus zero subgroups of $\mathrm {SL}_{2}(\mathbb {R})$ that are commensurable with $\mathrm {SL}_{2}(\mathbb {Z})$. As illustrations, we reproduce a striking formula of Ramanujan for $\frac {1}{\pi }$ and a recent result of Cooper et al., as well as derive a new rational Ramanujan-type series for $\frac {1}{\pi }$. As a byproduct, we obtain a Clausen-type formula in some general sense and reproduce a Clausen-type quadratic transformation formula closely related to the aforementioned formula of Ramanujan.

Momentum profits depend mainly on the short leg and therefore on barriers to short sales. Our research indicates that the decline in momentum profitability in the past 2 decades is driven partly by a contemporaneous growth in stock options trading. Stock options offer an alternative to short selling, augmenting the stock lending market, and thereby contributing to improved pricing efficiency. The resulting reduction in barriers to short sales contributes to lower returns to momentum trading from the short leg. Our results persist after matching stocks with and without options based on different firm-level characteristics.

So far, the twenty-first century has been a boom time for studies of health, illness, healing, and care work in Africa, and the COVID-19 pandemic has only increased attention to these issues. Yet again, current events remind us that history, politics, social relationships, and public health are inextricably linked. These five books encompass a range of approaches to the questions and sources that animate these studies from a variety of disciplinary perspectives, including anthropology, public health, gender studies, medicine, political science, and history. Each of these authors and editors is explicit about their commitment to reaching an interdisciplinary audience and, for most of them, interdisciplinary work is core to their professional identities. Paul Farmer, Luke Messac, and Simukai Chigudu all earned medical degrees as well as doctoral degrees in medical anthropology, history and sociology of science and medicine, and international development respectively; Nolwazi Mkhwanazi and Lenore Manderson describe themselves as working “at the intersections of medical anthropology, public health and gender studies” (vii). These five books reflect the wide range of authors and audiences engaging in questions about what constitutes health, how it is achieved or undermined, and how the past has contributed to present conditions on the continent.

This paper deals with applications of Voronin’s universality theorem for the Riemann zeta-function $\zeta$. Among other results we prove that every plane smooth curve appears up to a small error in the curve generated by the values $\zeta(\sigma+it)$ for real t where $\sigma\in(1/2,1)$ is fixed. In this sense, the values of the zeta-function on any such vertical line provides an atlas for plane curves. In the same framework, we study the curvature of curves generated from $\zeta(\sigma+it)$ when $\sigma>1/2$ and we show that there is a connection with the zeros of $\zeta'(\sigma+it)$. Moreover, we clarify under which conditions the real and the imaginary part of the zeta-function are jointly universal.

This short commentary is a general analysis of the current state of the knowledge–policy relationship in the disaster field. This “science–policy interface” was described as fundamental in the 2015 UN Sendai Framework. However, midway to the 2030 deadline, there have been concerns from both the UN and academia about the lack of policy compared to research production. This suggests that barriers to this relationship may exist. To explain these, recent scholarship on factors influencing the general relationship between knowledge and policy is examined. Aspects of the “shape” of disaster research and its effect on policy creation are also examined, and a new direction is proposed. How the UN’s initial approach plausibly did not support this interface is also explained; however, more recent advocacy suggests that the organization has taken a new approach that may prove effective. Overall, a debate within the disaster field about its role in policy creation may be necessary.

Erdős, Graham and Selfridge considered, for each positive integer n, the least value of $t_n$ so that the integers $n+1, n+2, \dots, n+t_n $ contain a subset the product of whose members with n is a square. An open problem posed by Granville concerns the size of $t_n$, under the assumption of the ABC conjecture. We establish some results on the distribution of $t_n$, and in the process solve Granville’s problem unconditionally.

This study provides a behavioral account of opportunistic diversification. We argue that top executives’ social comparison with peer firms based on business segment performance can lead them to increase their investments in high-profitability new businesses (i.e., opportunistic diversification). Specifically, when the performance of a firm's main business relative to its peer firms’ high-profitability business segment falls short of their aspirations, the firm's top executives will engage in problemistic search and subsequently increase opportunistic diversification. This effect is stronger when the firm is similar to peer firms along key firm characteristics and when top executives of the firm are underpaid. Although opportunistic diversification helps improve a firm's short-term accounting performance, it may weaken its long-term performance. Using Chinese non-real-estate firms’ diversification investment in real estate as our empirical context, we find support for our arguments.