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The statistics of breaking wave fields are characterised within a novel multi-layer framework, which generalises the single-layer Saint-Venant system into a multi-layer and non-hydrostatic formulation of the Navier–Stokes equations. We simulate an ensemble of phase-resolved surface wave fields in physical space, where strong nonlinearities, including directional wave breaking and the subsequent highly rotational flow motion, are modelled, without surface overturning. We extract the kinematics of wave breaking by identifying breaking fronts and their speed, for freely evolving wave fields initialised with typical wind wave spectra. The $\varLambda (c)$ distribution, defined as the length of breaking fronts (per unit area) moving with speed $c$ to $c+{\rm d}c$ following Phillips (J. Fluid Mech., vol. 156, 1985, pp. 505–531), is reported for a broad range of conditions. We recover the $\varLambda (c) \propto c^{-6}$ scaling without wind forcing for sufficiently steep wave fields. A scaling of $\varLambda (c)$ based solely on the root-mean-square slope and peak wave phase speed is shown to describe the modelled breaking distributions well. The modelled breaking distributions are in good agreement with field measurements and the proposed scaling can be applied successfully to the observational data sets. The present work paves the way for simulations of the turbulent upper ocean directly coupled to a realistic breaking wave dynamics, including Langmuir turbulence, and other sub-mesoscale processes.
Until now, the body image literature has largely ignored older men. In particular, little is known about how older men perceive and experience their ageing bodies, despite the importance of the body to men's practice of masculinity and their position within gendered hierarchies. Addressing this gap in the research, we conducted 15 in-depth interviews and ten focus group discussions (N = 60) with older men aged 60–82 years. Drawing upon the intersectionality approach and Bourdieu's theory of practice, we examined how older men with low socio-economic status give meaning to their ageing bodies in relation to ideals of masculinity. The findings suggest that body strength is vital capital for older men with low socio-economic status, and that changes in their bodies as they age affect their ability to actualise themselves as ‘real’ men and undermine their sense of masculinity. The inability to live up to masculine ideals left most of these men feeling inadequate and ashamed. The findings further reveal that stress caused by ageing bodies, exacerbated by older men's socio-economic conditions, constituted a threat to their survival and overall wellbeing. Interventions should take older men's perceptions of and adaptations to the ageing body into account. In addition, when designing interventions for older men, practitioners should consider the socio-economic and cultural context in which older men are embedded. Particularly important is a gender-transformative intervention that raises awareness of negative masculine norms.
In this note, we give a precise description of the limiting empirical spectral distribution for the non-backtracking matrices for an Erdős-Rényi graph $G(n,p)$ assuming $np/\log n$ tends to infinity. We show that derandomizing part of the non-backtracking random matrix simplifies the spectrum considerably, and then, we use Tao and Vu’s replacement principle and the Bauer-Fike theorem to show that the partly derandomized spectrum is, in fact, very close to the original spectrum.
The study examined factors associated with food and water stockpiling (FWS) during the COVID-19 pandemic.
Methods:
A secondary analysis of online survey data collected in two waves: April 2020 (wave 1) and June/July 2020 (wave 2), was conducted through REDCap web application. A total of 2,271 Non-Latino Black and Latino adults (mean age: 36.8 years (SD = 16.0); 64.3% female) living in Illinois were recruited. Participants self-reported if they stockpiled food and/or water (FWS) seven days prior to survey completion because of the pandemic. Logistic regression was used to determine if each variable was associated with the odds of reporting FWS.
Results:
Nearly a quarter (23.3%) of participants reported FWS. The adjusted model revealed that odds of FWS increase as the number of household members increased (OR: 1.21; 95% CI: 1.05-1.41). Odds of FWS were lower among participants who were not self-quarantining compared to those self-quarantining all the time (OR: 0.32; 95% CI: 0.17 – 0.62). Furthermore, individuals with lower levels of concern about COVID-19 had lower odds of FWS than those extremely concerned.
Conclusions:
Household size, self-quarantine status, and concern about COVID-19 were significantly associated with FWS. These findings highlight the need to address the concerns of marginalized individuals to promote healthy behaviors.
The Advanced Cardiac Therapies Improving Outcomes Network (ACTION) and Pediatric Heart Transplant Society (PHTS) convened a working group at the beginning of 2020 during the COVID-19 pandemic, with the aim of using telehealth as an alternative medium to provide quality care to a high-acuity paediatric population receiving advanced cardiac therapies. An algorithm was developed to determine appropriateness, educational handouts were developed for both patients and providers, and post-visit surveys were collected. Telehealth was found to be a viable modality for health care delivery in the paediatric heart failure and transplant population and has promising application in the continuity of follow-up, medication titration, and patient education/counselling domains.
This paper introduces a new operator relevant to input–output analysis of flows in a statistically steady regime far from the steady base flow: the mean resolvent ${{\boldsymbol{\mathsf{R}}}}_0$. It is defined as the operator predicting, in the frequency domain, the mean linear response to forcing of the time-varying base flow. As such, it provides the statistically optimal linear time-invariant approximation of the input–output dynamics, which may be useful, for instance, in flow control applications. Theory is developed for the periodic case. The poles of the operator are shown to correspond to the Floquet exponents of the system, including purely imaginary poles at multiples of the fundamental frequency. In general, evaluating mean transfer functions from data requires averaging the response to many realizations of the same input. However, in the specific case of harmonic forcings, we show that the mean transfer functions may be identified without averaging: an observation referred to as ‘dynamic linearity’ in the literature (Dahan et al., J. Fluid Mech., vol. 704, 2012, pp. 360–387). For incompressible flows in the weakly unsteady limit, i.e. when amplification of perturbations by the unsteady part of the periodic Jacobian is small compared to amplification by the mean Jacobian, the mean resolvent ${{\boldsymbol{\mathsf{R}}}}_0$ is well-approximated by the well-known resolvent operator about the mean flow. Although the theory presented in this paper extends only to quasi-periodic flows, the definition of ${{\boldsymbol{\mathsf{R}}}}_0$ remains meaningful for flows with continuous or mixed spectra, including turbulent flows. Numerical evidence supports the close connection between the two resolvent operators in quasi-periodic, chaotic and stochastic two-dimensional incompressible flows.
Despite a substantial epidemiological literature on the incidence of psychotic disorders in Ireland, no systematic review has previously been undertaken. Such evidence can help inform understanding of need for psychosis care.
Methods:
We conducted a prospectively registered systematic review (PROSPERO: CRD42021245891) following PRISMA guidelines. We searched four databases (Medline, PsycInfo, Web of Science, Embase) for papers containing incidence data on non-organic psychotic disorders, in people 16–64 years, published between 1950 and 2021 in the general adult population. We conducted duplicate screening, risk of bias assessments, and extracted data to a standardised template. We undertook a narrative synthesis for each major diagnostic outcome. Random effects meta-analyses were conducted for comparisons with ≥5 incidence rates.
Results:
Our search yielded 1975 non-duplicate citations, of which 23 met inclusion criteria, containing incidence data ascertained between 1974 and 2016 (median study quality: 5/8; interquartile range: 4–6). Incidence of all psychotic disorders (N = 4 studies) varied from 22.0 (95%CI: 17.3–28.0) in Dublin to 34.1 per 100,000 person-years (95%CI: 31.0–37.5) in Cavan and Monaghan. The pooled incidence of schizophrenia (N = 6 studies, N = 8 settings) was 20.0 per 100,000 person-years, though with imprecision around this estimate (95%CI: 10.6–37.5; I2: 97.6%). Higher rates of most outcomes were observed in men. There was consistent evidence of raised rates in more deprived and fragmented social environments, but no clear pattern by rural-urban status.
Conclusions:
Patterns of incidence of psychotic disorders in Ireland are broadly consistent with the wider literature from the Global North. Findings could help identify populations at higher risk of psychosis in Ireland.
Belonging is a pervasive human need that is vital to our well-being as we age. Ageist attitudes, stereotyping, and life transitions tend to jeopardise older adults’ experiences of belonging. Although community involvement can lead to the development of social relationships that support belonging in older adulthood, little is known about how belonging is perceived and experienced by older adults. The purpose of this article is to share findings from research conducted with members of a community centre for people 50 years of age and older who shared their perceptions and experiences of belonging. Findings highlight the ways that age-related life transitions affect experiences of belonging. Findings also reveal that features of a belonging experience include feeling worthwhile, being welcomed and accepted, having opportunities for connection, and seeking to belong. We draw from these findings to suggest ways to enhance belonging for older adults.
Fluoralforsite, ideally Ba5(PO4)3F, (space group P63/m (#176), Z = 2, a = 10.0031(2) Å, c= 7.5382(2) Å and V = 653.23(3) Å3), is a new mineral species of the apatite group – a Ba-analogue of fluorapatite and a F-analogue of alforsite. It was discovered in rankinite paralava filling cracks in pyrometamorphic gehlenite hornfels near the tributary of wadi Zohar and Gurim Anticline, Hatrurim Basin, Negev Desert, Israel. Fluoralforsite occurs in small intergranular spaces between large gehlenite and garnet crystals and in enclaves inside large rankinite crystals with other Ba minerals such as walstromite, zadovite, bennesherite, gurimite, mazorite, barioferrite and baryte. It forms tiny transparent, colourless crystals up to 50 μm with a white streak and a vitreous lustre. The cleavage was not observed. It exhibits a brittle tenacity and a conchoidal fracture. The estimated Mohs hardness is 4–4½, and its calculated density is 4.57 g/cm–3. Fluoralforsite is uniaxial (–) with refractive indices (589 nm) nω = 1.689(3) and nɛ = 1.687(3). The empirical crystal-chemical formula for the holotype calculated on the basis of 8 cations is: (Ba3.81Ca0.97Na0.07K0.05Sr0.05Fe0.05)Σ5(P5+2.32V5+0.29S6+0.22Si0.17)Σ3O12(F0.85Cl0.13)Σ0.98. The crystal structure was refined from single-crystal X-ray diffraction data with R1 = 0.0192. The structural investigation indicated an ordered arrangement of Ba/Ca at the M1 site within individual columns running along the c-axis, but a disordered distribution among adjacent columns throughout the structure, which enables the maintenance of the P63/m space group. Fluoralforsite was formed at the final stage of crystallisation as a result of a reaction between the primary mineral assemblages and residual melt.
This work presents game semantics of Martin-Löf type theory (MLTT) equipped with the One, the Zero, the N, Pi, Sigma and Id types. Game semantics interprets a wide range of logic and computation, even the polymorphic $\lambda$-calculus; however, it has remained a well-known challenge in the past 25 years to achieve game semantics of dependent type theories such as MLTT, and past attempts lack directness or generality. For instance, the approach taken by Abramsky et al. interprets Sigma types indirectly by formal lists, not by games, making an interpretation of universes hopeless, and it is limited to a very specific class of dependent types. The difficulty of this challenge comes from a conflict between the extensionality of dependent types and the intensionality of game semantics. We overcome the challenge by inventing a novel variant of games, while we keep strategies unchanged, in such a way that this variant inherits the strong points of conventional game semantics. Also, our method enables an interpretation of subtyping on dependent types for the first time as game semantics. We finally give a new, game-semantic proof of the independence of Markov’s principle from MLTT. This proof illustrates an advantage of our intensional model over extensional ones such as Hyland’s effective topos.
China adopted neoliberal approaches to improve the supply of quality social services in the early 2000s. How did the Chinese government manage the financial and quality risks of increasing the provision via government purchasing and how did it differ from other countries? The article examines the policy trajectory of early childhood education and care in China and Australia on this question. Policy analysis of the effect of purchasing on the cost to government and quality of services shows how both countries used subsidy arrangements to engage non-profit and private providers to expand supply. When faced with market risks, they both tightened regulations, but China differed in the speed and strength of their response, restricting the proportion of private providers. The findings have implications for understanding the risks of relying on market forces in other social service sectors, and how policy can effectively respond.
In the early weeks of the 2020 coronavirus (COVID-19) pandemic, the Fox News Channel advanced a skeptical narrative that downplayed the risks posed by the virus. We find that this narrative had significant consequences: in localities with higher Fox News viewership—exogenous due to random variation in channel positioning—people were less likely to adopt behaviors geared toward social distancing (e.g., staying at home) and consumed fewer goods in preparation (e.g., cleaning products, hand sanitizers, and masks). Using original survey data, we find that the effect of Fox News came not merely from its long-standing distrustful stance toward science, but also due to program-specific content that minimized the COVID-19 threat. Taken together, our results demonstrate the significant impact that misinformation in media coverage can exert on viewers’ beliefs and behavior, even in high-stakes situations.
Schleiermacher's theological champions like Kevin Hector contend that his Christology is ‘high’ and is Chalcedonian in spirit. I offer a number of objections to this view, suggesting that Schleiermacher offers a distinctive, early modern account of Christ as a uniquely deified redeemer but not of Christ as the uncreated God. This raises some surprising questions for the dogmatic relation of Christology, soteriology and anthropology.
This research note analyzes the incentives of different types of policy areas for a president to keep or dismiss a minister. It uses ministerial survival analysis to compare foreign and domestic policy areas, focusing on comparable and analogous presidential decisions among countries and portfolios. The research utilizes ministerial survival data for education, finance, health, and foreign policy between 1945 and 2020 in Argentina, Brazil, Chile, Mexico, Paraguay, Peru, and Uruguay. Using Cox regression models, we find that a foreign policy portfolio has a positive effect on ministerial survival, but the specificity of this portfolio does not hold for autocratic governments. Autocracies show higher levels of ministerial survival in all four portfolios, but a foreign policy portfolio is no more stable than domestic portfolios. Democratic presidents have the incentive to signal stability to the international audience, preserving the foreign policy portfolio from the frequent ministerial changes in domestic portfolios.