In this paper, we address two boundary cases of the classical Kazdan–Warner problem. More precisely, we consider the problem of prescribing the Gaussian and boundary geodesic curvature on a disk of $\mathbb {R}^2$, and the scalar and mean curvature on a ball in higher dimensions, via a conformal change of the metric. We deal with the case of negative interior curvature and positive boundary curvature. Using a Ljapunov–Schmidt procedure, we obtain new existence results when the prescribed functions are close to constants.

This linguistic ethnographic study offers a nuanced pedagogical account of the Arabic term sumud, or ‘steadfastness’, through a sociolinguistic analysis of decolonial modes of expression among Palestinian youth in Israel. I reflect on events during the 2021 uprisings in East Jerusalem, when Palestinian youth within Israel took to the streets in solidarity with Palestinians in Jerusalem and Gaza. Considering the Israeli education system's denationalization of the Palestinian community within its borders, I examine how Palestinian political ideals cultivated outside the formal educational system open new possibilities for political organizing and expression. I reflect upon interviews with members of the Haifa Youth Movement and a Palestinian hip-hop artist and his lyrics. Engaging with Stroud's theorization of linguistic citizenship, I show how pedagogy of sumud as a linguistic citizenship practice opens new semiotic spaces for Palestinian youth in Israel to resist the erasure of their identity. (Linguistic citizenship, sumud pedagogy, Palestinian youth, colonized education)*

We confirm prior evidence that bonds on average are offered at prices below their immediate post-offer secondary market prices. However, in cases where banks lead–manage their own bond offerings the underpricing is significantly less as compared with other non-self-marketed offerings. These findings are robust across various matched samples and selection models. Our results suggest that the bond offering process is characterized by substantive agency conflicts between shareholders of corporations (issuers) and underwriters.

During and after the First World War, the United States provided very substantial amounts of humanitarian and economic aid to war-torn Europe. All compassion aside, international historians have long recognised the strategic and social expectations attached to such foreign aid. US generosity was to build trust, reverence and influence abroad and, by inspiring ‘gratitude’ among recipients, to translate into a foreign policy advantage. But what happened when these expectations were disappointed? This article looks at transatlantic relations after the First World War to explore the role of gratitude in interwar international politics. It shows just how difficult it often was for Europeans to be appropriately ‘grateful’ and how emotionally the US public could react to such displays of perceived ‘ingratitude’. US aid – and the expectations and obligations that came with it – could excite distrust and resentment on both sides of the Atlantic.

The design and development of a microstrip-based planar ultra-wideband (UWB) bandpass filter (BPF) with single/multiple interference rejection capability is presented. The proposed BPF structure is developed based on the broadside coupled mechanism of microstrip/coplanar waveguide (CPW). The BPF has microstrips and short-circuited CPW capacitively coupled through the substrate. The basic frequency response generated from this geometry covers the necessary UWB spectrum (3.1–10.6 GHz) and possesses appreciable characteristics due to dual transmission zeros at either passband boundary. Multiple resonators are embedded in the basic BPF structure to develop passband notches to circumvent unnecessary interferences. A low-pass filter is later integrated into geometry to extend the upper stopband. The proposed structure is compact and covers an area of only 14 × 11.4 mm2.

We use the dual functional realization of loop algebras to study the prime irreducible objects in the Hernandez–Leclerc (HL) category for the quantum affine algebra associated with $\mathfrak {sl}_{n+1}$. When the HL category is realized as a monoidal categorification of a cluster algebra (Hernandez and Leclerc (2010, Duke Mathematical Journal 154, 265–341); Hernandez and Leclerc (2013, Symmetries, integrable systems and representations, 175–193)), these representations correspond precisely to the cluster variables and the frozen variables are minimal affinizations. For any height function, we determine the classical decomposition of these representations with respect to the Hopf subalgebra $\mathbf {U}_q(\mathfrak {sl}_{n+1})$ and describe the graded multiplicities of their graded limits in terms of lattice points of convex polytopes. Combined with Brito, Chari, and Moura (2018, Journal of the Institute of Mathematics of Jussieu 17, 75–105), we obtain the graded decomposition of stable prime Demazure modules in level two integrable highest weight representations of the corresponding affine Lie algebra.

In this paper, we time-change the generalized counting process (GCP) by an independent inverse mixed stable subordinator to obtain a fractional version of the GCP. We call it the mixed fractional counting process (MFCP). The system of fractional differential equations that governs its state probabilities is obtained using the Z transform method. Its one-dimensional distribution, mean, variance, covariance, probability generating function, and factorial moments are obtained. It is shown that the MFCP exhibits the long-range dependence property whereas its increment process has the short-range dependence property. As an application we consider a risk process in which the claims are modelled using the MFCP. For this risk process, we obtain an asymptotic behaviour of its finite-time ruin probability when the claim sizes are subexponentially distributed and the initial capital is arbitrarily large. Later, we discuss some distributional properties of a compound version of the GCP.

Cross sections of coal prices in England for 1695, 1795, and 1842 are used to infer transportation rates by sea, river, canal, and road. The effectiveness of monopolies, the degree of market integration, and the patterns of regional supply of each mining district are then established. The growth rates of productivity in sea, river, and road transport from 1695–1842 are computed and combined with a social savings assessment of canals to measure the overall growth in the productivity of shipping coal. Productivity growth was substantial but had a surprisingly limited impact on the geography of production and consumption.

We find closed formulas for arbitrarily high mixed moments of characteristic polynomials of the Alternative Circular Unitary Ensemble, as well as closed formulas for the averages of ratios of characteristic polynomials in this ensemble. A comparison is made to analogous results for the Circular Unitary Ensemble. Both moments and ratios are studied via symmetric function theory and a general formula of Borodin-Olshanski-Strahov.

Let ${\mathfrak g}$ be a complex simple Lie algebra and ${\mathfrak n}$ the nilradical of a parabolic subalgebra of ${\mathfrak g}$. We consider some properties of the coadjoint representation of ${\mathfrak n}$ and related algebras of invariants. This includes (i) the problem of existence of generic stabilizers, (ii) a description of the Frobenius semiradical of ${\mathfrak n}$ and the Poisson center of the symmetric algebra , (iii) the structure of as -module, and (iv) the description of square integrable (= quasi-reductive) nilradicals. Our main technical tools are the Kostant cascade in the set of positive roots of ${\mathfrak g}$ and the notion of optimization of ${\mathfrak n}$.

Metabolomics has been utilised in epidemiological studies to investigate biomarkers of nutritional status and metabolism in relation to non-communicable diseases. However, little is known about the effect of prandial status on several biomarker concentrations. Therefore, the aim of this intervention study was to investigate the effect of a standardised breakfast meal followed by food abstinence for 24 h on serum concentrations of amino acids, one-carbon metabolites and B-vitamin biomarkers. Thirty-four healthy subjects (eighteen males and sixteen females) aged 20–30 years were served a breakfast meal (∼500 kcal) after which they consumed only water for 24 h. Blood samples were drawn before and at thirteen standardised timepoints after the meal. Circulating concentrations of most amino acids and metabolites linked to one-carbon metabolism peaked within the first 3 h after the meal. The branched-chain amino acids steadily increased from 6 or 8 hours after the meal, while proline decreased in the same period. Homocysteine and cysteine concentrations immediately decreased after the meal but steadily increased from 3 and 4 hours until 24 h. FMN and riboflavin fluctuated immediately after the meal but increased from 6 h, while folate increased immediately after the meal and remained elevated during the 24 h. Our findings indicate that accurate reporting of time since last meal is crucial when investigating concentrations of certain amino acids and one-carbon metabolites. Our results suggest a need for caution when interpretating studies, which utilise such biomarkers, but do not strictly control for time since the last meal.

This paper proposes a novel approach to assessing the efficiency and distributional consequences of occupational licensing statutes during the Gilded and Progressive eras, based on the practice of judicial review. At the time, state judges ruling on the constitutionality of police powers regulation operated under powerful legal norms that militated against redistribution and class legislation. Evidence presented in the paper strongly suggests that judges were significantly more likely to uphold, on constitutional grounds, occupational licensing legislation for occupations with important information asymmetries, suggesting that constitutional review promoted efficiency in occupational markets. These findings have implications for current policies regarding occupational licensing.

Oldest-old (age 80+) spousal care-givers of people with dementia experience unique challenges and concerns that they attribute to age and/or ageing, including difficulties providing care because of physical, cognitive or sensory decline; having fewer friends who can provide practical support; and having less energy for non-care-giving activities (e.g. leisure activities, self-care). Previous research on how older care-givers manage is not specific to oldest-old care-givers and may underrepresent their unique experiences managing age and ageing-related challenges. A limited understanding can compromise our ability to tailor services to ageing care-givers. The purpose of this research was to illuminate how oldest-old spousal care-givers of people with dementia manage ageing-related care-giving challenges and the barriers and facilitators to strategy use. The selective optimisation with compensation theory and the transactional theory of stress and coping informed our conceptualisation of management strategies. We used a narrative gerontology approach, with two or three semi-structured interviews with 11 care-givers aged 80–89 (25 interviews in total). Narrative data were analysed thematically. We identified four main themes that encompassed the strategies shared by care-givers: adjusting goals to lessen care-giving demands and to mitigate stress, using alternative means to reach goals and to mitigate stress, enhancing capacities to care and mitigate stress through engagement in non-care-giving activities, and choosing positive attitudes and perspectives to lessen emotional distress. We identified a myriad of facilitators and barriers to strategy utilisation in each theme. The study provides unique insight into care-givers' management strategies, especially in relation to relocation of self and spouse and participation in non-care-giving activities, as well as insight into age-related facilitators and barriers. This research can ultimately help inform the tailoring of age-sensitive health and social care services to meet the needs of this group of care-givers as they age.

Several meta-analyses investigating the efficacy of n-3 PUFA in alleviating depression symptoms have reported conflicting findings. In the present study, we aimed to perform an umbrella meta-analysis to provide a definite conclusion. A comprehensive systematic search of PubMed, Scopus, Embase, Web of Science and Cochrane Central Library was performed up to June 2021. Meta-analysis studies evaluating the effects of n-3 PUFA on depression symptoms were included. The quality of the included meta-analyses was assessed using AMSTAR questionnaire. Out of 101 studies, twenty-two studies with twenty-six effect sizes (ES) were eligible for inclusion. Sixteen ES showed significant improving effect of n-3 supplementation on depression symptoms among which eleven ES had small ES. The other studies observed no significant effect. Available evidence suggests that n-3 PUFA (EPA, DHA) supplementation could be considered as an effective add-on therapeutic approach in relieving depression symptoms.

The Episcopal Church has been engaged in efforts to revise its Book of Common Prayer since the mid-1990s, but a completed revision is still nowhere in sight. This essay explains the process for revision in the Episcopal Church, the working of that process leading up to the adoption of the Book of Common Prayer 1979 and the optimism about a further revision in the 1990s. It then seeks to understand the inability of the Episcopal Church to follow through on the hope of revision in the first two decades of the twenty-first century, despite considerable work on liturgical texts and the involvement of a growing number of task forces and special committees. It follows with discussion of the issues related to revision before the 2022 and the upcoming 2024 conventions and concludes with reflections on the obstacles to a completed revision.