Numerous benefits materialize when people extend legitimacy to institutions; consequently, many investigations of the legitimacy of the police have been reported. However, several critical issues remain unanswered. My paper’s purpose is to revisit the question of willingness to grant police legitimacy, focusing on a nationally representative sample of African Americans. I test hypotheses connecting police legitimacy with experiences with unfair treatment by legal authorities, ingroup attachments, attitudes toward systemic racism, and engagement with Black Lives Matter. My findings reveal significant connections between experience with discrimination, ingroup attachments, and beliefs about systemic racism but little relationship between BLM attitudes and police legitimacy.

We prove that there exists at least one positive Einstein metric on $\mathbb {HP}^{m+1}\sharp \overline {\mathbb {HP}}^{m+1}$ for $m\geq ~2$. Based on the existence of the first Einstein metric, we give a criterion to check the existence of a second Einstein metric on $\mathbb {HP}^{m+1}\sharp \overline {\mathbb {HP}}^{m+1}$. We also investigate the existence of cohomogeneity-one positive Einstein metrics on $\mathbb {S}^{4m+4}$ and prove the existence of a non-standard Einstein metric on $\mathbb {S}^8$.

Extant research often assumes that the letter of labour codes is an adequate proxy for effective regulation. This paper empirically shows that such an assumption makes little sense for Senegal. We collect new objective measures of private and public labour enforcement, including workers’ awareness of their rights, access to the judiciary, penalties, and labour inspection resources and activities. We document that Senegal, as well as other countries in Francophone West Africa, is characterised by a combination of protective/stringent in-form labour codes and little enforcement efforts. Furthermore, we show that labour inspections target large and registered firms, while labour violations are more prevalent in small and unregistered firms, implying that the problem is substantially more complex than a lack of public inspection funding. We speculate it is mostly about the lack of effective representation of vulnerable workers in the policymaking process.

Exact steady eastward-moving vortex-dipole solutions, the equatorial modons, are constructed in the asymptotic limit of low divergence and small temperature variations in the thermal rotating shallow water (TRSW) model on the equatorial beta-plane. This regime is known to be relevant for the tropical atmosphere. The model itself is a generalization, allowing for horizontal temperature gradients, of the classical rotating shallow water model. The asymptotic modons can carry a temperature anomaly and exist also on the inhomogeneous temperature background. The modon configurations are then used to initialize numerical simulations, in order to check whether such coherent structures can exist in the full TRSW model. The results show that this is, indeed, the case. The parameter regimes and limitations on the structure of the temperature anomaly inside, in order for the modons to persist, are established. It is also shown that the modons keep their coherence even while evolving on the background of meridionally inhomogeneous temperature fields, or while interacting with sharp temperature fronts. A general scenario of disaggregation of the modons, if they are out of the stability domain, is exhibited and analysed.

Ticks represent a major concern for society worldwide. Ticks are also difficult to control, and vaccines represent the most efficacious, safe, economically feasible and environmentally sustainable intervention. The evolution of tick vaccinology has been driven by multiple challenges such as (1) Ticks are difficult to control, (2) Vaccines control tick infestations by reducing ectoparasite fitness and reproduction, (3) Vaccine efficacy against multiple tick species, (4) Impact of tick strain genetic diversity on vaccine efficacy, (5) Antigen combination to improve vaccine efficacy, (6) Vaccine formulations and delivery platforms and (7) Combination of vaccines with transgenesis and paratransgenesis. Tick vaccine antigens evolved from organ protein extracts to recombinant proteins to chimera designed by vaccinomics and quantum vaccinomics. Future directions will advance in these areas together with other novel technologies such as multiomics, AI and Big Data, mRNA vaccines, microbiota-driven probiotics and vaccines, and combination of vaccines with other interventions in collaboration with regions with high incidence of tick infestations and tick-borne diseases for a personalized medicine approach.

Although evidence on aspects of individual ageing of LGBTQI (lesbian, gay, bisexual, transgender, queer and/or intersex) people is mounting, there is a poor understanding of the macro aspects of population ageing within the LGBTQI population itself. This paper seeks to address this lacuna through an examination of structural and numerical ageing of the Australian LGBQ population. Drawing upon new data sources, alongside recent advances in demographic modelling, we utilised a modified multi-state cohort-component projection model to produce estimates and projections of the ageing of the Australian LGBQ population from 2016 to 2041. Our results indicate that the LGBQ population is significantly younger than the heterosexual population and is ageing structurally (in relative terms) at a slower rate. However, the LGBQ population is ageing considerably faster numerically (in absolute percentage growth terms) relative to the heterosexual population. We show the LGBQ population aged 65+ is projected to grow between 150 and 170 per cent between 2016 and 2041, under relatively conservative assumptions. This strong numerical ageing counters traditional assumptions about ageing of the LGBQ population and provides data to improve visibility of this population and to ameliorate future planning for health, care and social service provision that is appropriate and well-funded. The methods and materials we develop in this paper provide new opportunities for other countries to improve planning for LGBQ populations similarly.

Existing scholarship on prison diets has emphasised the role of food and its restriction as a key aspect of the deterrent system of prison discipline introduced in the 1860s. Here we suggest that a strong emphasis was placed on dietary regulation after the establishment of the reformist, but also ‘testing’, separate system of confinement in the mid-nineteenth century. While the impact of diet on the physical health of prisoners was a major concern, we argue that the psychological impact of food was also stressed, and some prison administrators and doctors argued that diet had an important protective function in preserving inmates’ mental wellbeing. Drawing on a wide range of prison archives and official reports, this article explores the crucial role of prison medical officers in England and Ireland in implementing prison dietaries. It highlights the importance and high level of individual adaptations to dietary scales laid down centrally, as a means of utilising diet as a tool of discipline or as an intervention to improve prisoners’ health. It examines the forays of some prison doctors into dietary experiments, as they investigated the impact of different dietaries or made more quotidian adjustments to food intake, based on local conditions and food supplies. The article concludes that, despite central policies geared to establishing uniformity and interest in new scientific discourses on nutrition, a wide range of practices were pursued in individual prisons, mostly shaped by practical rather than scientific factors, with many prison medical officers asserting their autonomy in making dietary adjustments.

Karl Barth's Theology of the Reformed Confessions characterised those catechetical texts as more ethical in orientation and more horizontal in focus than the corresponding Lutheran symbols. By examining both primary and secondary sources, this paper shows that while Barth legitimately illumines a key element of the Reformed witness regarding a connection between faith and life, his polemical eye may also distort his perspective on its distinctiveness, likely owing to contextual factors related to his self-fashioning a Reformed identity in his early academic service at the predominantly Lutheran University of Göttingen and alongside his colleague, Emanuel Hirsch.

The fourteenth and fifteenth centuries were a period of rising expenses and mounting debt for Holy Roman emperors and other German lords. Rulers frequently sought to pay off these debts by pledging rights and properties to their creditors, who would then collect the income from those rights and properties over several years as a means of recuperating the money they were owed. However, this practice could generate tensions as well as cycles of conflict and negotiation at the local level, because pledge-holders often recovered their money by extracting as much income as possible from those communities impacted by the pledge. This article provides a general overview of the phenomenon of the pledging of lordly rights before turning to a case study, the pledging of the court at Hoym to the town of Quedlinburg in the mid-fifteenth century, to investigate more closely the local impact of the pledge.

We study structure formation in two-dimensional turbulence driven by an external force, interpolating between linear instability forcing and random stirring, subject to nonlinear damping. Using extensive direct numerical simulations, we uncover a rich parameter space featuring four distinct branches of stationary solutions: large-scale vortices, hybrid states with embedded shielded vortices (SVs) of either sign, and two states composed of many similar SVs. Of the latter, the first is a dense vortex gas where all SVs have the same sign and diffuse across the domain. The second is a hexagonal vortex crystal forming from this gas when the linear instability is sufficiently weak. These solutions coexist stably over a wide parameter range. The late-time evolution of the system from small-amplitude initial conditions is nearly self-similar, involving three phases: initial inverse cascade, random nucleation of SVs from turbulence and, once a critical number of vortices is reached, a phase of explosive nucleation of SVs, leading to a statistically stationary state. The vortex gas is continued in the forcing parameter, revealing a sharp transition towards the crystal state as the forcing strength decreases. This transition is analysed in terms of the diffusivity of individual vortices using ideas from statistical physics. The crystal can also decay via an inverse cascade resulting from the breakdown of shielding or insufficient nonlinear damping acting on SVs. Our study highlights the importance of the forcing details in two-dimensional turbulence and reveals the presence of non-trivial SV states in this system, specifically the emergence and melting of a vortex crystal.

Let $K_n=\mathbb{Q}(\alpha_n)$ be a family of algebraic number fields where $\alpha_n\in \mathbb{C}$ is a root of the nth exponential Taylor polynomial $\frac{x^n}{n!}+ \frac{x^{n-1}}{(n-1)!}+ \cdots +\frac{x^2}{2!}+\frac{x}{1!}+1$, $n\in \mathbb{N}$. In this paper, we give a formula for the exact power of any prime p dividing the discriminant of Kn in terms of the p-adic expansion of n. An explicit p-integral basis of Kn is also given for each prime p. These p-integral bases quickly lead to the construction of an integral basis of Kn.

Basically, a 4 × 4 Butler matrix (BM) connected to an antenna array allows to have four beams, each oriented in a specific direction depending on the excitation port. In this paper, an almost continuously steerable beam system based on a conventional 4 × 4 BM with adjustable phase shift is presented and demonstrated. Here, varicap diodes are used instead of an additional phase shifter. Under different bias levels applied to the couplers throughout these varicap diodes, an output variable phase difference was obtained. A prototype of the proposed tunable BM integrated with an antenna array operating at 3.5 GHz was fabricated and tested. The experimental results show a good agreement with those simulated. A reflection and isolation coefficient better than −15 dB over the entire desired frequency band and an amplitude imbalance lower than ±1.5 dB were achieved. The measured radiating beam under different DC biasing can be oriented from ±6° to ±18° when port 1 or 4 is excited and oriented from ±32° to ±43° for ports 2 and 3.

Iron is essential for many physiological functions of the body, and it is required for normal growth and development. Iron deficiency (ID) is the most common form of micronutrient malnutrition and is particularly prevalent in infants and young children in developing countries. Iron supplementation is considered the most effective strategy to combat the risk of ID and ID anaemia (IDA) in infants, although iron supplements cause a range of deleterious gut-related problems in malnourished children. The purpose of this review is to assess the available evidence on the effect of iron supplementation on the gut microbiota during childhood ID and to further assess whether prebiotics offer any benefits for iron supplementation. Prebiotics are well known to improve gut-microbial health in children, and recent reports indicate that prebiotics can mitigate the adverse gut-related effects of iron supplementation in children with ID and IDA. Thus, provision of prebiotics alongside iron supplements has the potential for an enhanced strategy for combatting ID and IDA among children in the developing world. However, further understanding is required before the benefit of such combined treatments of ID in nutritionally deprived children across populations can be fully confirmed. Such enhanced understanding is of high relevance in resource-poor countries where ID, poor sanitation and hygiene, alongside inadequate access to good drinking water and poor health systems, are serious public health concerns.