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The majority opinion of the Supreme Court establishes precedent, but separate opinion writing affords the justices the ability to expound upon it or express their disagreement with the ruling or its logic. We broaden the exploration of separate opinion writing to consider how decisions and case features at the moment of granting cert shape justices’ decisions to engage in nonconsensual behavior. We also sharpen the focus on external actors to consider the nature of amici curiae. Through an empirical study of Supreme Court cases between 1986 and 1993, we find that aspects of the agenda-setting stage affect justices’ decisions at the litigation stage. In addition, we find that the number of briefs and the diversity of organized interests impacted by the case is particularly relevant to justices. The decision to write a separate opinion is the product of internal and external factors over the full course of a case’s history.
In the last quarter of the 19th century, Austrian schools effectively developed a robust system of civic education that attempted to cultivate the patriotism of all students, regardless of their nationality. While the ultimate goal of Habsburg civic education was loyalty to the imperial state, officials realized that this loyalty would not be able to supplant regional or national identities. Instead, officials designed a curriculum that would enhance these other identities hoping they would contribute to imperial patriotism. Students learned they shared their home with different national groups and that they belonged to a larger family of nations. While this concept was earnestly supported by the school curriculum, the way in which this material was taught may have impacted its effectiveness. For example, when discussing national groups, educators often drew from prevailing ethnographic theories that relied on stereotypical assessments. Moreover, compromises made in the early 20th century complicated these efforts. As nationalists gained increased control over school administration, the emphasis on shared local identity weakened. These factors did not necessarily alter Austrian civic education, but they do point to the ways in which it would have needed to adapt to the Monarchy’s changing political circumstances.
Low vegetable consumption among school-age children and adolescents puts them at risk of micronutrient malnutrition and non-communicable diseases. There is a dearth of synthesised literature on vegetable intake and interventions to promote increased consumption among this age group in West Africa. This study pooled evidence on vegetable consumption and interventions to promote vegetable consumption among school-age children and adolescents (6–19 years) in West Africa. Quantitative and qualitative studies from 2002 to 2023 were electronically searched in PubMed, African Journals Online (AJOL) and Google Scholar databases. The Preferred Reporting Items for Systematic Reviews and Meta-Analyses system was adhered to in reporting this review (PROSPERO ID: CRD42023444444). The Joanna Briggs Institute critical evaluation tool was used to appraise the quality of studies. Forty (40) studies met the search criteria out of n 5080 non-duplicated records. Meta-analysis was not possible due to high heterogeneity. Low vegetable consumption expressed in frequency or amounts was recorded among school-age children and adolescents in the reviewed studies. Intervention studies were mostly among adolescents; the most common type of intervention was the use of nutrition education. Insufficient evidence and high heterogeneity of studies reflect the need for more high-quality interventions using globally identified standards but applied contextually. School-age children appear to be an under-served population in West Africa with regard to nutrition interventions to promote vegetable consumption. There is a need for multi-component intervention studies that encourage vegetable consumption as a food group. Gardening, parental involvement, gamification and goal setting are promising components that could improve the availability, accessibility and consumption of vegetables.
In this article, we generalize results of Clozel and Ray (for $SL_2$ and $SL_n$, respectively) to give explicit ring-theoretic presentation in terms of a complete set of generators and relations of the Iwasawa algebra of the pro-p Iwahori subgroup of a simple, simply connected, split group $\mathbf {G}$ over ${{\mathbb Q}_p}$.
The transformation of internal waves on a stepwise underwater obstacle is studied in the linear approximation. The transmission and reflection coefficients are derived for a two-layer fluid. The results are obtained and presented as functions of incident wave wavenumber, density ratio of layers, pycnocline position, and height of the bottom step. Excitation coefficients of evanescent modes are also calculated, and their importance is demonstrated. This allows one to estimate the number of evanescent modes necessary to take into account to attain the required accuracy for the transformation coefficients.
When atmospheric storms pass over the ocean, they resonantly force near-inertial waves (NIWs), internal waves with a frequency close to the local Coriolis frequency $f$. It has long been recognised that the evolution of NIWs is modulated by the ocean's mesoscale eddy field. This can result in NIWs being concentrated into anticyclones which provide an efficient pathway for NIW propagation to depth. Here we analyse the eigenmodes of NIWs in the presence of mesoscale eddies and heavily draw on parallels with quantum mechanics. Whether the eddies are effective at modulating the behaviour of NIWs depends on the wave dispersiveness $\varepsilon ^2 = f\lambda ^2/\varPsi$, where $\lambda$ is the deformation radius and $\varPsi$ is a scaling for the eddy streamfunction. If $\varepsilon \gg 1$, NIWs are strongly dispersive, and the waves are only weakly affected by the eddies. We calculate the perturbations away from a uniform wave field and the frequency shift away from $f$. If $\varepsilon \ll 1$, NIWs are weakly dispersive, and the wave evolution is strongly modulated by the eddy field. In this weakly dispersive limit, the Wentzel–Kramers–Brillouin approximation, from which ray tracing emerges, is a valid description of the NIW evolution even if the large-scale atmospheric forcing apparently violates the requisite assumption of a scale separation between the waves and the eddies. The large-scale forcing excites many wave modes, each of which varies on a short spatial scale and is amenable to asymptotic analysis analogous to the semi-classical analysis of quantum systems. The strong modulation of weakly dispersive NIWs by eddies has the potential to modulate the energy input into NIWs from the wind, but we find that this effect should be small under oceanic conditions.
This article explores the notions of $\mathcal {F}$-transitivity and topological $\mathcal {F}$-recurrence for backward shift operators on weighted $\ell ^p$-spaces and $c_0$-spaces on directed trees, where $\mathcal {F}$ represents a Furstenberg family of subsets of $\mathbb {N}_0$. In particular, we establish the equivalence between recurrence and hypercyclicity of these operators on unrooted directed trees. For rooted directed trees, a backward shift operator is hypercyclic if and only if it possesses an orbit of a bounded subset that is weakly dense.
In this paper, we investigate locally finitely presented pure semisimple (hereditary) Grothendieck categories. We show that every locally finitely presented pure semisimple (resp., hereditary) Grothendieck category $\mathscr {A}$ is equivalent to the category of left modules over a left pure semisimple (resp., left hereditary) ring when $\mathrm {Mod}(\mathrm {fp}(\mathscr {A}))$ is a QF-3 category, and every representable functor in $\mathrm {Mod}(\mathrm {fp}(\mathscr {A}))$ has finitely generated essential socle. In fact, we show that there exists a bijection between Morita equivalence classes of left pure semisimple (resp., left hereditary) rings $\Lambda $ and equivalence classes of locally finitely presented pure semisimple (resp., hereditary) Grothendieck categories $\mathscr {A}$ that $\mathrm {Mod}(\mathrm {fp}(\mathscr {A}))$ is a QF-3 category, and every representable functor in $\mathrm {Mod}(\mathrm {fp}(\mathscr {A}))$ has finitely generated essential socle. To prove this result, we study left pure semisimple rings by using Auslander’s ideas. We show that there exists, up to equivalence, a bijection between the class of left pure semisimple rings and the class of rings with nice homological properties. These results extend the Auslander and Ringel–Tachikawa correspondence to the class of left pure semisimple rings. As a consequence, we give several equivalent statements to the pure semisimplicity conjecture.
Let $(\tau , V_{\tau })$ be a finite dimensional representation of a maximal compact subgroup K of a connected non-compact semisimple Lie group G, and let $\Gamma $ be a uniform torsion-free lattice in G. We obtain an infinitesimal version of the celebrated Matsushima–Murakami formula, which relates the dimension of the space of automorphic forms associated to $\tau $ and multiplicities of irreducible $\tau ^\vee $-spherical spectra in $L^2(\Gamma \backslash G)$. This result gives a promising tool to study the joint spectra of all central operators on the homogenous bundle associated to the locally symmetric space and hence its infinitesimal $\tau $-isospectrality. Along with this, we prove that the almost equality of $\tau $-spherical spectra of two lattices assures the equality of their $\tau $-spherical spectra.
To compare the incidence of surgical site infection (SSI) between cefazolin 3 g and 2 g surgical prophylaxis in patients weighing ≥120 kg that undergo elective colorectal surgery.
Methods:
A multicenter, retrospective cohort study was performed utilizing a validated database of elective colorectal surgeries in Michigan acute care hospitals. Adults weighing ≥120 kg who received cefazolin and metronidazole for surgical prophylaxis between 7/2012 and 6/2021 were included. The primary outcome was SSI, which was defined as an infection diagnosed within 30 days following the principal operative procedure. Multivariable logistic regression was used to identify variables associated with SSI; the exposure of interest was cefazolin 3 g surgical prophylaxis.
Results:
A total of 581 patients were included; of these, 367 (63.1%) received cefazolin 3 g, while 214 (36.8%) received 2 g. Patients who received cefazolin 3 g had less optimal antibiotic timing (324 [88.3%] vs 200 [93.5%]; P = .043) and a higher receipt of at least 1 of the prophylaxis antibiotics after incision (22 [6%] vs 5 [2.3%]; P = .043). There was no SSI difference between cefazolin 3 g and 2 g cohorts (23 [6.3%] vs 16 [7.5%], P = .574). When accounting for age, smoking status, and surgical duration, cefazolin 3 g was not associated with a reduction in SSI (adjOR, .64; 95%CI, .32–1.29).
Conclusions:
Surgical prophylaxis with cefazolin 3 g, in combination with metronidazole, was not associated with decreased SSI compared to 2 g dosing in obese patients undergoing elective colorectal surgery.
The impact of cyclones on assets and sales of manufacturing firms in India is examined econometrically using data on manufacturing companies for 2008–2019. We find that there is about a 4–6 per cent dip in sales and a 2–3 per cent dip in total assets of manufacturing firms following a cyclone incident in the district where the firms' plants are located. The fall in sales is bigger for relatively small-sized firms. For multi-plant firms with plants in different states, which are relatively bigger firms, the impact may be small or even negligible. By contrast, cyclones cause a fall in total assets for both big and small firms. The adverse effect of cyclones on sales and assets of manufacturing firms is relatively less for firms with a high trade-technology orientation. We also find that cyclones significantly raise the risk of business failure among manufacturing plants, more so among small plants.
We investigate experimentally the planar paths displayed by cylinders falling freely in a thin-gap cell containing liquid at rest, by varying the elongation ratio and the Archimedes number of the cylinders, and the solid-to-fluid density ratio. In the investigated conditions, the oscillatory falling motion features two main characteristics: the mean fall velocity $\overline {u_v}$ does not scale with the gravitational velocity, which overestimates $\overline {u_v}$ and is unable to capture the influence of the density ratio on it; and high-amplitude oscillations of the order of $\overline {u_v}$ are observed for both translational and rotational velocities. To model the body behaviour, we propose a force balance, including proper and added inertia terms, the buoyancy force and vortical contributions accounting for the production of vorticity at the body surface and its interaction with the cell walls. Averaging the equations over a temporal period provides a mean force balance that governs the mean fall velocity of the cylinder, revealing that the coupling between the translational and rotational velocity components induces a mean upward inertial force responsible for the decrease of $\overline {u_v}$. This mean force balance also provides a normalization for the frequency of oscillation of the cylinder in agreement with experimental measurements. We then consider the instantaneous force balance experienced by the body, and propose three contributions for the modelling of the vortical force. These can be interpreted as drag, lift and history forces, and their dependence on the control parameters is adjusted on the basis of the experimental measurements.
Clinical trials for assessing the effects of infection prevention and control (IPC) interventions are expensive and have shown mixed results. Mathematical models can be relatively inexpensive tools for evaluating the potential of interventions. However, capturing nuances between institutions and in patient populations have adversely affected the power of computational models of nosocomial transmission.
Methods:
In this study, we present an agent-based model of ICUs in a tertiary care hospital, which directly uses data from the electronic medical records (EMR) to simulate pathogen transmission between patients, HCWs, and the environment. We demonstrate the application of our model to estimate the effects of IPC interventions at the local hospital level. Furthermore, we identify the most important sources of uncertainty, suggesting areas for prioritization in data collection.
Results:
Our model suggests that the stochasticity in ICU infections was mainly due to the uncertainties in admission prevalence, hand hygiene compliance/efficacy, and environmental disinfection efficacy. Analysis of interventions found that improving mean HCW compliance to hand hygiene protocols to 95% from 70%, mean terminal room disinfection efficacy to 95% from 50%, and reducing post-handwashing residual contamination down to 1% from 50%, could reduce infections by an average of 36%, 31%, and 26%, respectively.
Conclusions:
In-silico models of transmission coupled to EMR data can improve the assessment of IPC interventions. However, reducing the uncertainty of the estimated effectiveness requires collecting data on unknown or lesser known epidemiological and operational parameters of transmission, particularly admission prevalence, hand hygiene compliance/efficacy, and environmental disinfection efficacy.
The added mass force resulting from the acceleration of a body in a fluid is of fundamental and practical interest in dispersed multiphase flows. Euler–Lagrange (EL) and Euler–Euler (EE) simulations require closure terms for the added mass force in order to accurately couple the conserved variables between phases. Presently, a more thorough understanding of the added mass force in a multi-particle system is developed based on potential flow resulting in a resistance matrix formulation analogous to Stokesian dynamics. This formulation is then used to generate a dataset of added mass resistance matrices for large systems of randomly generated particles. This methodology is used to create a volume fraction corrected binary model for predicting the added mass force in large systems as well as generate statistics of the added mass force in such systems. This work provides clarification to the theory of the added mass force for particle clouds, and modelling options that may be implemented in existing EL and EE codes.
One of the most famous catchphrases to describe the First World War was H.G. Well's ‘war to end all wars’. Once an idealistic slogan, it is now mainly used sardonically as a tragic depiction of what felt at the time to be the longest and bloodiest war of the age. But Wells described what in 1914 seemed a plausible outcome of the war: this was expected to be the last great conflict between nations before an international order was finally established. This view was later shared by another well-known liberal internationalist, Alfred Zimmern, who advocated for a treaty that made war a crime in any circumstance and a covenant to substitute the old order of ‘power-politics’ with ‘responsibility-polities’. As one of the chief interpreters of the League of Nations (LON), Zimmern remains a symbol of the contradictions of the institution in its quest to establish a ‘new order’ through the rule of law. However, this new order was not destined to last, as the League's life was short, eventful and ultimately tragic.
This article is part of Religious Studies’ new initiative to publish a series of interviews with distinguished philosophers of religion. Each interview explores the personal and academic background of the interviewee and discusses their core philosophical views. The aim is to inspire students and scholars and to provide an overview of some of the most important works developed by contemporary philosophers of religion. In this interview, Tyler Dalton McNabb interviews Keith Ward, covering such topics as his upbringing, his first years of teaching, his view on natural theology, and his view on special revelation in the world religions.
In this paper, we study the ranges of the Schwartz space $\mathcal {S}$ and its dual $\mathcal {S}'$ (space of tempered distributions) under the Bargmann transform. The characterization of these two ranges leads to interesting reproducing kernel Hilbert spaces whose reproducing kernels can be expressed, respectively, in terms of the Touchard polynomials and the hypergeometric functions. We investigate the main properties of some associated operators and introduce two generalized Bargmann transforms in this framework. This can be considered as a continuation of an interesting research path that Neretin started earlier in his book on Gaussian integral operators.