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American politics is characterized by an implicit rights-centrism, for example, when public discourse champions the freedom of speech in absolute terms. This article proposes instead an ends-centric mode of deliberation that underscores the myriad ends beyond rights that are also necessary to a polity’s health. Grounded in republican theory, the ends-centric mode maintains space to (re)prioritize ends and to redraw the boundaries of rights as required by a given moment or issue. Rather than displace rights-centrism or the courts’ role in enforcing rights, the ends-centric mode prompts other institutions also to engage in rights reasoning, thereby elevating the larger conversation and process of deliberation. It thus allows a separation-of-powers logic to operate more fully in the realm of rights by leveraging diverse institutional perspectives and capacities toward a multi-sided dialogue over rights questions. We draw from historical debates on speech and press freedom from the early republic and the twentieth century to find sight lines for an ends-centric approach in American politics. We further examine how ends-centric arguments would benefit deliberations over the regulation of social media today. Specifically, arguments that overemphasize speech in social media crowd out other desirable ends, such as protecting young people online and combating misinformation. Ultimately, we argue the benefits of rights-centric and ends-centric modes operating alongside each other across constitutional fora, as the polity deliberates rights in old and new forms.
We derive a depth-averaged equation for the magnetic field induced by long surface gravity waves over variable seabed. The equation is verified using known analytical results and a novel numerical model for magnetic anomalies over variable bathymetry. Unlike amplitude-based theories, our results show that the magnetic response is governed by the forward energy flux associated with the surface gravity wave. This reframes the physics of long-wave magnetics and provides a new basis for interpreting geomagnetic observations.
This paper demonstrates a method for quantifying the unmitigated mid-air collision (MAC) rate (${\lambda _{{\textrm{MAC}}}}$) between crewed aircraft and uncrewed aircraft (UA) above different congested area operating environments, to support broadening the definition of an atypical air environment (AAE) within the United Kingdom (UK). The underlying principle of this work is that all crewed aircraft should be operating in accordance with UK Standardised European Rules of the Air (SERA), which dictate minimum operating heights over built-up areas, specifically 1,000 ft in the majority of cases, except during take-off and landing. It is unrealistic, however, to assume that this rule is never breached; therefore, we present a method for objectively evaluating the likely encounter rate. We systematically consider the exclusion of runway protection zones (RPZs), aerodrome traffic zones (ATZs) and helicopter landing sites (HLSs) from the operating areas and evaluate the effect on ${\lambda _{{\textrm{MAC}}}}$. Results are presented that apply the methodology to over 33,000 hours worth of air traffic data recorded at three different sites across the UK. It is concluded that the operation of UA overhead congested areas, outside of RPZs and HLSs, likely satisfies an appropriate target level of safety (TLS) to be considered an AAE up to a height of 100 m above ground level (AGL) both inside and outside of controlled airspace.
Raïssa Maritain is one of the most compelling Catholic poets of the twentieth century, and yet her work is largely overlooked by literary critics. This short essay explores her mystical reading of darkness as a place of spiritual discernment, intuition, and kenosis and the poetic night vision she developed to negotiate it. The essay reads her as a fire-thief intent on stealing from poetry a light able to illuminate God’s dazzling darkness and the ruinous gloom of war.
We investigate the control effects of spanwise heterogeneous roughness on shock-wave/turbulent boundary-layer interactions (STBLIs) using wall-resolved large-eddy simulations. The roughness extends over the entire computational domain and consists of streamwise-aligned sinusoidal ridges alternating with flat valleys. The baseline case is a Mach 2.0 impinging STBLI flow with a 40$^\circ$ impinging-shock angle, for which we consider incoming turbulent boundary layers at two friction Reynolds numbers, $Re_\tau \approx$ 350 and 1200. Multiple roughness configurations are analysed, which maintain consistent geometric characteristics under either inner or outer scaling. The results show that the rough-wall configurations introduce a moderate increase in mean drag, while substantially modifying the dynamics of the interaction. The wall-pressure fluctuations near the separation-shock foot consist of two components: low-frequency fluctuations associated with large-scale shock excursions and high-frequency fluctuations linked to amplified turbulence. We find that both spectral components can be significantly attenuated by the investigated wall roughness. At low Reynolds number, the attenuation of low- and high-frequency components contributes comparably to the overall reduction. At high Reynolds number, an overall stronger reduction of the pressure fluctuation peak is observed and is mainly attributed to the effective suppression of the low-frequency component. Cross-correlation analyses support downstream mechanisms for the low-frequency dynamics in the current strong interaction regime, where large-scale shock excursions are mainly driven by the breathing of the reverse-flow bubble. Large-scale Görtler-like vortices are identified around the reattachment location in all cases. They appear largely unaffected by roughness geometry and contribute to the flow dynamics over a wide range of frequencies.
We investigate two-dimensional vortex merging of three vortices, initially aligned and evenly spaced, with the two outer vortices having the same strength and the middle one having any strength. Based on the vorticity transport equation (VTE) a vortex is identified as an extremum of the vorticity. The vorticity is also investigated through the low-dimensional core-growth model, providing analytical insight into the vorticity patterns and transitions, including explicit formulas of trajectories of the critical points of vorticity. Four distinct vorticity patterns and four types of trajectories of the vorticity are found. For a corotating centre vortex there are two types of trajectories of the vorticity, one where the centre vortex dominates the two outer vortices, and one where the centre vortex is suppressed by the two outer vortices. The two types of trajectories are separated in parameter space by the strength ratio of the inner to outer vortex being $4\exp (-{3}/{2})$. In the case of a counter-rotating vortex centre, the centre vortex is suppressed in the flow transitions for centre vortex strengths less than the sum of the two outer vortices. For a range of vortex strengths of the middle vortex, the three vortex configuration first rotates in one direction and then shifts direction of rotation. In the case of a centre vortex strength exceeding the sum of the two outer vortices, the two outer vortices are pushed away. The core-growth model quantitatively reproduces the VTE flow for low Reynolds number (Re) and topologically provides accurate descriptions up to Re = 1290 where filamentation vortices are created.
Scientific data on the influences of salinity shifts on the survival and behavioural attributes of marine animals is valuable to select potential coastal aquaculture candidates/commercial cultivation sites and to devise conservation strategies in the climate change scenario. This study establishes the survival ranges following gradual and abrupt salinity shifts for a high-value marine lobster species, Panulirus homarus. Lethal concentration limits differed between gradual and abrupt salinity shifts, with a broader tolerance observed under gradual shifts. There was 100% survival between 17 and 44‰ and between 26 and 41‰ following gradual and abrupt salinity shifts. As behavioural responses are critical in understanding the physiology and welfare status of animals, behavioural attributes, viz. antennule flicking per minute (AFM) and feed response time (FRT) were evaluated upon salinity shifts from the control (35‰). The sudden increase in AFM was the first visible reaction to the salinity shifts followed by a sustained decline beyond particular ranges in both gradual and abrupt shifts. FRT was significantly decreased beyond specific salinity ranges on gradual and abrupt salinity shifts and the animals became completely anorectic beyond 44–14‰, and beyond 44–23‰, respectively, on gradual and abrupt shifts. A better coping mechanism and a wider range of salinity tolerance were observed for gradual shifts than abrupt shifts.
This is the first part of a series of papers devoted to the study of linear cocycles over chaotic systems. In the present paper, we establish the existence of such cocycles that $\mathcal {C}^\alpha $-stably exhibit fiberwise bounded orbits ($\alpha>0$). The proof is based on a new mechanism which yields stable elliptic-type behavior in $\mathrm {GL}(d,\mathbb {R})$ or $\mathrm {SL}(d,\mathbb {R})$ cocycles. Moreover, we show that this phenomenon is $\mathcal {C}^0$-dense among $\mathrm {SL}(d,\mathbb {R})$ cocycles over a shift of finite type without dominated splitting.
Let $p$ be an odd prime, and let $E_1$ and $E_2$ be two elliptic curves defined over a number field $K$, with good ordinary reduction at $p$. We compare the $\Lambda$-ranks and (generalized) Iwasawa invariants of the Pontryagin duals of the Selmer groups of $E_1$ and $E_2$ over ${\mathbb{Z}}_p^d$-extensions $\mathbb{L}_\infty$ of $K$ for general $d \ge 1$ under the hypothesis that $E_1[p^i] \cong E_2[p^i]$ as Galois modules for a sufficiently large $i$. This generalizes and complements previous work over ${\mathbb{Z}}_p$-extensions. The comparison of generalized Iwasawa invariants is related via an up-down approach to the comparison of the variation of classical Iwasawa invariants over the ${\mathbb{Z}}_p$-extensions of $K$ which are contained in $\mathbb{L}_\infty$.
Dynamic stall on aerofoils is an undesirable and potentially dangerous phenomenon. The motto for aerodynamic systems with unsteadily moving wings, such as helicopters or wind turbines, is that prevention beats recovery. In case prevention fails or is not feasible, we need to know when recovery starts, how long it takes, and how we can improve it. This study revisits dynamic stall reattachment to identify the sequence of events during flow and load recovery, and to characterise key observable features in the pressure, force and flow field. Our analysis is based on time-resolved velocity field and surface pressure data obtained experimentally for a two-dimensional, sinusoidally pitching thin aerofoil. Stall recovery is a transient process that does not start immediately when the angle of attack falls below the critical stall angle. The onset of recovery is delayed to angles below the critical stall angle, and the duration of the reattachment delay decreases with increasing unsteadiness of the pitching motion. An angle of attack below the critical angle is a necessary but not sufficient condition to initiate the stall recovery process. We identified a critical value of the leading-edge suction parameter, independent of the pitch rate, that is a threshold beyond which reattachment consistently initiates. Based on prominent changes in the evolution of the shear layer, the leading-edge suction, and the lift deficit due to stall, we divided the reattachment process into three stages: the reaction delay, wave propagation and the relaxation stage, and extracted the characteristic features and time scales for each stage.
We construct various novel and elementary examples of dynamics with metric attractors that have intermingled basins. A main ingredient is the introduction of random walks along orbits of a given dynamical system. We develop the theory and use it in particular to provide examples of thick metric attractors with intermingled basins.
Explore the relationship between the severity of psychological distress symptoms and COVID-19-related bereavement, along with various sociodemographic factors and smoking/substance use behaviors during the COVID-19 pandemic.
Methods
This study used 962 Missouri residents’ (age: mean 44.8, SD 16.7, range 18-86 years; 67% [641] female) responses in the context of COVID-19 during 2022. Severity of psychological distress was measured using combined responses from PHQ-8 and GAD-7 scales and classified as moderate to severe using a cutoff score of ≥15 in PHQ-8 or ≥10 in GAD-7 scale. Predictors were bereavement (yes/no), current smoking (yes/no), and any substance use and polysubstance use (≥2). Logistic regressions adjusted for age, highest educational level, and employment status.
Results
Approximately 19% experienced loss due to COVID-19; 28% exhibited moderate to severe symptoms of psychological distress. Individuals who experienced COVID-19-related deaths were more likely to suffer from moderate to severe psychological distress symptoms (Adjusted Odds Ratios (AOR): 1.46; 95% CI:1.00, 2.12). Smoking (AOR:1.68; 95% CI: 1.20, 2.36) and polysubstance use (AOR: 2.44; 95% CI: 1.64, 3.65) also exhibited higher odds.
Conclusions
COVID-19 bereavement and smoking/substance use were linked to higher distress. Future research and strategies should integrate bereavement supports with substance-use screening/brief intervention in disaster mental-health services.
Intrinsically disordered proteins (IDPs) and disordered regions of folded proteins (IDRs) perform a plethora of cellular functions involving interactions with a variety of proteins, DNA, and RNA. Their flexibility enables them to interact with different cellular components. They can adopt molten globule as well as extended statistical coil structures depending on their amino acid residue sequence. They are generally more enriched in polar and charged residues, which generally facilitate solvation. This review article asks to what extent water as a solvent affects local (on a residue level) and global properties (size, Flory exponents) of IDPs. It introduces various aspects of protein hydration in the folded state as a benchmark and reference. The results of experimental and computational studies on short model peptides reveal how local structural propensities of residues are determined by water–backbone and water–side chain interactions. Ramachandran plots of individual amino acid residues are side-chain and neighbor-dependent. For unfolded oligo-peptides and IDPs (IDRs) the article discusses the intricated relationship between IDP hydration and global parameters (i.e., radius of gyration), which involves multiple parameters such as net charge, charge distribution, hydrophobicity, and the ionic strength of the aqueous solution. A review of experimental work that explored the strength of water–protein interactions and their influence on water dynamics reveals significant differences between water binding to folded and disordered proteins. Finally, The role of water in liquid–liquid mixing of short peptides and IDPs is delineated, which can lead to gelation and the formation of membrane-less droplets.
This article examines how the socio-indexical meanings of dialects/style are reconfigured through two-way parallel migration in Ningbo-Fenghua, China, focusing on the socio-indexical (re)valuation of Putonghua, Ningbonese, and Fenghuanese. Using two-phase matched-guise experiments and interviews, the study traces how mobility patterns and generational positioning mediate these meanings. Results show that, while Putonghua retains institutional prestige, it is often regarded affectively empty. In contrast, Fenghuanese and Ningbonese carry ambivalent, shifting values. Fenghua-born migrants reframe Fenghuanese as a resource for expressing intimacy, trust, and regionalism, while non-migrants view it as outdated. Ningbonese occupies a middle-ground, indexing familiarity, respectability, or obsolescence depending on context. Notably, younger speakers collapse dialectal distinctions, reframing both as ‘old speech’ tied to generation rather than place. These findings challenge Global North models that link indexical revaluation to elite cosmopolitanism, showing instead how meaning-making in the Global South can also emerge through administrative restructuring, regional absorption, and long-standing mobility patterns. (Indexicality, social meaning, Ningbo-Fenghua, migration and language, language attitudes).
The nonlinear free-surface response of moonpools with recesses is investigated through both experimental and theoretical analyses. A theoretical model is developed to compute the natural frequencies using linearised potential flow theory and eigenfunction expansions. Four moonpool configurations with varying recess lengths are examined experimentally. The analysis reveals that larger recess lengths correspond to increasingly pronounced nonlinear responses. It is also shown that, for an incident wave group with suitable frequency content, the linear moonpool response can be significantly smaller than the second- and third-harmonic components. This effect is attributed to super-harmonic secondary resonance, characterised by $n \omega =\omega _{pq}$ ($n\geqslant 2$ and $p+q\geqslant 1$), where $n$ denotes the super-harmonic order, $\omega$ is the excitation frequency, and $p$ and $q$ are the longitudinal and transverse mode numbers, respectively. Here, $\omega_{pq}$ represents the sloshing frequency of the three-dimensional moonpool. Furthermore, it is found that, as the primary responses increase, cross-flow instability can lead to secondary resonance in non-symmetric modes. This occurs because the double and triple frequencies of the base mode approach the transverse or diagonal sloshing frequencies. Additionally, hard-spring Duffing effects for secondary resonance induced by super-harmonics are observed in cases with recesses, becoming more pronounced as the recess length increases, particularly when $h/l\lt 0.3368$, where $h$ is the water depth above the recess and $l$ is the moonpool length.