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“From this it arises that all the armed prophets conquered,” wrote Niccolò Machiavelli, “and the unarmed ones were ruined.”1 Moses was his preeminent example of a prophet-prince, since Moses relied not only on the revelation of Yahweh, but also on the arms used to maintain the way of life that revelation prescribed. For Machiavelli, the firebrand Dominican Girolamo Savonarola served as a timely Florentine example of a ruined prophet without arms, for mere popular support was not enough to sustain the serious changes the friar sought for Florence’s church and society.2 To be sure, in Machiavelli’s day, there was a widespread belief that the Western church had fallen very far from its apostolic origins; recent popes such as Alexander VI, who had excommunicated Savonarola and fathered Cesare Borgia, could well serve as an archetype of ecclesiastical corruption. But while many agreed with Savonarola’s denunciations of wayward popes and clerics, his attempt at reform turned only into a prelude to the return of the Medici to Florence, and their influence over the papacy.
The October 2023 Hamas attack on Israel entailed a disproportional military counterattack by Israel on Gaza, and on Iranian strongholds in the Middle East. Iran’s evident failure to fully protect its allies and military assets pointed to a receding regional influence. The US-Israel Twelve-Day War against Iran’s military, industrial, nuclear, and civilian targets in June 2025 exposed the scale of Iranian defense vulnerability. On the diplomatic front, Iran failed to work with Saudi Arabia to prevent bloodshed in Gaza or the Twelve-Day War, despite joint appeals to reduce violence and condemn the Israeli aggression. Saudi Arabia encouraged a ceasefire in Gaza, but it discouraged Tehran and its ally Hamas from regrouping against Israel.1 The Saudi response to the Twelve-Day War arrived belatedly, after other Muslim countries first condemned the attacks. Both conflicts revealed Iran’s frequent resort to niche diplomacy: seeking limited diplomatic goals without garnering momentum to resolve conflicts.2 Its triangular diplomacy to mobilize resources with Saudi Arabia to preempt Israeli aggression only served to sustain Tel Aviv’s hostility and cautious ties with Riyadh.3
Americans rely on the media to learn about the US Supreme Court. Historically, coverage was concentrated among a small set of major newspapers that regularly reported on high-profile decisions. The expansion of digital platforms and the Court’s decision to livestream oral arguments at the start of the COVID-19 pandemic created new opportunities for coverage, but it is unclear whether these changes increased overall media attention on the Court. Using new data to track how often Supreme Court decisions and oral arguments appear in print and broadcast-affiliated outlets, this article shows that the volume of coverage has declined in traditional newspapers but expanded (unevenly) across other outlets. These patterns challenge assumptions about stable and centralized Supreme Court coverage and highlight the need for scholars to account for changing levels of media attention when studying public responses to the Court.
Herbicide-resistant Palmer amaranth has been problematic within the United States for the past 30 years. The recent introduction of Palmer amaranth into the Pacific Northwest (PNW) prompted extensive surveys in 2023 and 2024 to collect seed samples for herbicide-resistance screening and leaf tissue for resistance-mechanism genotyping. Greenhouse dose-response bioassays were conducted in Kimberly, ID, during the summer of 2024 to assess the response of Palmer amaranth populations to selected postemergence herbicides. Resistance to glyphosate predominated across populations, and reduced sensitivity to 2,4-D, dicamba, and mesotrione was also observed. In contrast, glufosinate and saflufenacil provided effective control of PNW Palmer amaranth populations. Based on the dose-response bioassays, the effective dose required to provide 90% control (ED90) of the suspected glyphosate-resistant populations was 20 to 63-fold compared to the susceptible population. Subsequent 5-enolpyruvylshikimate-3-phosphate synthase (EPSPS) gene duplication analysis was conducted to confirm glyphosate resistance in the Palmer amaranth populations. About 74% (17 of 23) of the Palmer amaranth tissue samples showed gene duplication, with up to 150 copies of the EPSPS gene. The EPSPS gene amplification analysis of plants that survived 2X rate of glyphosate (2,520 g ae ha-1) showed up to 150 EPSPS genes in glyphosate-resistant populations. The widespread glyphosate resistance in the collected samples suggests that Palmer amaranth populations are being introduced into the PNW from locations where resistance to herbicide sites of action has previously evolved.
Washington’s leverage over political and military actors in post-Bashir Sudan has been limited. There is little agreement on whether this results from changing international and regional geopolitics, America’s foreign policy priorities and its miscalculations, or a combination of all these factors. Moving beyond these explanations, I argue that the US approach remained deeply shaped by long-standing dilemmas in its democracy promotion doctrine, bureaucratic dynamics, and the decline in domestic advocacy. Understanding these variables contributes to broader debates on US Africa policy and to democracy promotion scholarship by foregrounding domestic drivers and the limits of external support for democratic transitions.
Behavioral models are instrumental for studying human cognition, yet many inferences derived from such models fail to generalize. We argue that this is driven in part by the increasing complexity of behavioral models, where non-linearities and discontinuities create dynamic parameter interactions that limit the generalizability of inferences across different contexts, experiments, and datasets. We first demonstrate the problems that arise from parameter dependency. We then propose a new methodological framework for understanding the generalizability of behavioral modeling results using multivariate sampling distributions for the model parameters. We derive and validate novel sampling distributions for complex non-linear behavioral models by transforming the mimicry between different parameter values into the chances of one set of parameters being inferred from data generated by another set of parameters. Our approach is computationally scalable to evaluate how model estimates change across the parameter space and different experiments, which can limit the generalizability of experimental results. We then apply our approach to current behavioral models, revealing new theoretical insights. Using our approach, we reinterpret results from recent modeling work in decision-making and category learning. We conclude by discussing the implications of our proposed framework for building stronger, more generalizable psychological research and theory through behavioral modeling.
Direct numerical simulations are performed to investigate the receptivity and subsequent evolution of free-stream acoustic disturbances, including the associated instability mechanisms in a Mach 6 flow over a cone–cylinder–flare configuration. The geometry and flow parameters replicate an experimental study at the Purdue BAMQ6T facility (Benitez et al., AIAA Aviation 2020 Forum, 2020, p. 3072). The results are analysed to reveal new physical insights into boundary-layer separation, instability growth and nonlinear processes. The effects of changing wall thermal conditions from the experimental cold isothermal ($T_w = 30\,\text{K}$) to adiabatic (hot) are also examined. The basic state exhibits an attached boundary layer over the cone, followed by the formation of a separation bubble over the cylinder and flare, and reattachment over the aft section of the flare. In the case of a hot wall, the separation bubble size increases significantly compared with the isothermal case, leading to altered shear-layer dynamics and delayed reattachment with steeper gradients. Stability investigation reveals first- and second-mode disturbances as distinct spectral bands. Direct numerical simulation spectra and linear analysis indicate enhanced amplification of low-frequency first-mode disturbances for the adiabatic wall compared with the isothermal case. Bispectral analysis over the cone, centred at a second-mode wave, reveals weak subharmonic–fundamental coupling, but strong fundamental–fundamental coupling near the nosetip. The rapidly distorted mean flow within the separation bubble supports amplification of low-frequency disturbances, exhibiting an irregular spatial distribution, making it difficult to distinctly separate mutually exclusive modes (e.g. shear-layer or boundary-layer modes) due to their coexistence and influence on each other. Further downstream, the reattachment zone over the flare exhibits the combined effect of boundary layer and shear-generated waves, where distinct boundary-layer modes are evident at higher frequencies. Bispectral mode decomposition indicates strong phase-locked interaction along the leading-edge shock and within the separated and reattachment zones. These interactions are further amplified with increasing inflow forcing amplitude, leading to the formation of localised hotspots indicative of strong nonlinear amplification.
Within the space of monotheistic options, trinitarian monotheism holds a puzzling place. It asserts that God is a single being who is, somehow, also three distinct persons. This form of monotheism has regularly been charged with being either inconsistent, unintelligible, or undermotivated – and possibly all three. While recent explorations of trinitarian monotheism have tended to rely on work in metaphysics, this paper turns to the philosophy of mind, showing that functionalist theories of mind prove to be surprisingly hospitable to trinitarian monotheism. This paper will address only the inconsistency and unintelligibility objections, showing that if role-functionalism (or something near enough) is both consistent and conceivable, then it is both consistent and conceivable that: God is a single being who is exactly three distinct persons because there is one primary divine person who interacts with exactly one system-sharing re-realisation of his own person-type.
Calving from tidewater glaciers and ice shelves is an important component of global mass balance and may contribute significantly to future sea-level rise. Current prognostic ice-sheet models cannot predict future calving losses because they lack a robust calving law. We argue that the key to finding a general calving law is to recognise that calving glaciers are stochastic dynamic systems that exhibit self-organisation. Collectively, calving events have statistical properties that reflect underlying fragmentation processes. These reflect distinct styles of calving and give rise to persistent patterns of advance and retreat, including fluctuations around pinning points and periods of instability and transition. These patterns motivate a stochastic calving function scaled to the stress within the ice, which we demonstrate in a set of model experiments with Elmer/Ice, for synthetic geometries representative of a Greenland outlet glacier and an Antarctic ice shelf. Self-organising behaviour emerges spontaneously from the model, including expected calving-size distributions and system convergence on quasi-stable states. The model simulates calving behaviour over a wide range of spatial and temporal scales and produces short calving cycles for a Greenland-type geometry and long cycles for an Antarctic shelf-type geometry. The long-standing calving law problem may yield to this kind of approach.
We prove two results, generalizing certain theorems by Jin and Moosa (2020, Trans. Amer. Math. Soc., 373, 4863–4887), on the internality of the system of differential equations
This paper is concerned with the Cauchy problem of compressible Navier–Stokes equations. Both the anomalous energy dissipation and the vanishing global dissipation are surveyed. First, we construct a family of smooth solutions which exhibit anomalous dissipation when the viscous coefficient $\epsilon$ tends to zero. Second, assume that the weak solutions have additional (uniformly in $\epsilon$) regularity, then the convergence rate of vanishing global dissipation is proportional to a power function of $\epsilon$. The results indicate that the inviscid singularity is caused by the lack of smoothness of solutions, not the viscosity.
This study implements blowing/suction control for aerofoil trailing-edge noise and systematically optimises blowing/suction angles and control locations within a Bayesian framework. Two distinct rounds were conducted for direct and sound-source-oriented coarse-grained Bayesian optimisations. In the direct optimisation, the mean overall sound pressure level of far-field noise is selected as the objective function. Optimal control parameters were obtained after 15 iterations, requiring 80 three-dimensional implicit large eddy simulations, and achieved a noise reduction of up to 3.7 dB. To reduce the substantial computational cost, a Gaussian process surrogate model was constructed using the sound source defined by multi-process acoustic theory. This enabled a second round of optimisation, termed sound-source-oriented coarse-grained Bayesian optimisation, which yielded comparable noise reduction. This refined approach exhibited low signal delay and rapid statistical convergence, which can significantly reduce both the computational cost per sampling and the iteration number. Consequently, the total computational cost was reduced to approximately one-sixth of the initial direct optimisation. Moreover, physical insights into noise reduction mechanisms were elucidated through dynamic mode decomposition (DMD), anisotropic invariant mapping and the analysis of source terms within the TNO model across several typical cases. The results indicate that the blowing-control case induces large-scale vortex shedding and enhances DMD mode energy and low-frequency noise emission. Furthermore, the suction control tends to disrupt coherent structures, reduce DMD mode energy and suppress radiated noise. Crucially, the suction control significantly decreases mean velocity gradients within the logarithmic layer and suppresses wall-normal Reynolds stresses, thereby considerably reducing TNO source intensity in this critical region. The optimal case exhibits superior performance across all metrics above, thus laying the foundation for the optimal control strategy. Additionally, the suction control facilitates attenuating the footprint of turbulent motions in wall-pressure fluctuations through pressure-velocity coherence analysis, hence promoting noise reduction. This work introduces a novel framework that integrates Bayesian optimisation with advanced noise diagnostic theory, and provides actionable insights for effective trailing-edge noise mitigation.
Many of Yi In-sŏng’s works, including On an Autumn Day and Room in Summer, depict tropical plants and exotic vegetation. Although the specific types of foliage he portrayed remain unclear, Yi’s use of foreign foliage clearly conveys the allure of exotic scenery. Beginning in the 1930s, coinciding with Japan’s expansion into the South Sea region, images of palm trees and exotic plants found their way into colonial Korean homes. This article investigates the emergence of the practice of portraying ‘others’ in colonial Korea, with a particular focus on the artworks of Yi In-sŏng. Yi was a renowned Western-style painter during the colonial period in Korea, celebrated for his depictions of exotic landscapes and vibrant foreign flora. While Yi’s work is often characterized as an expression of Korean ‘local colour’, this article, instead, explores Yi as an urban bourgeois and delves into his appreciation for exotic elements in his work. By contextualizing the depiction of diverse rural flora and exotic interior decorations in Yi’s urban intellectual cosmopolitanism, this article discusses how the practice of imagining ‘others’ emerged in colonial Korea during the 1930s.
The Earth’s quasi-biennial oscillation (QBO) is a natural example of wave–mean flow interaction and corresponds to the alternating directions of winds in the equatorial stratosphere. It is due to internal gravity waves (IGWs) generated in the underlying convective troposphere. In stars, a similar situation is predicted to occur, with the interaction of a stably stratified radiative zone and a convective zone. In this context, we investigate the dynamics of this reversing mean flow by modelling a stably stratified envelope and a convectively unstable core in polar geometry. Here, the coupling between the two zones is achieved self-consistently, and IGWs generated through convection lead to the formation of a reversing azimuthal mean flow in the upper layer. We characterise the mean flow oscillations by their periods, velocity amplitudes and regularity. Despite a continuous broad spectrum of IGWs, our work shows good qualitative agreement with the monochromatic model of Plumb & McEwan (1978, J. Atmos. Sci. vol. 35, no. 10, pp. 1827–1839). While the latter was originally developed in the context of the Earth’s QBO, then our study could prove relevant for its stellar counterpart in massive stars, which host convective cores and radiative envelopes.
Critical thinking is supported by a rich and diverse literature, with particularly close ties to argumentation theory and informal logic. It has often been presented in terms of a set of skills and dispositions, with the latter exemplified through the figure of an ideal critical thinker. These accounts of the relevant dispositions are intuitive and tend to emphasize openness, clarity, and a concern for truth. Seemingly running against this impression, it is argued here that an ideal critical thinker can willfully engage in fallacious argumentation. This surprising possibility is grounded in the distinction between thinking and arguing, with the literature on critical thinking being implicitly and rightly limited to the former. The argument draws on an established account of critical thinking dispositions, a simple supporting view of the nature of dispositions, and analogies to familiar phenomena like lying. The result complements existing work on the subject in terms of what a critical thinker should do, contributing to our understanding of the conceptual boundaries of critical thinking and argumentation proper.
Depression is a common comorbidity in neuropsychiatric disorders, affecting a significant proportion of patients with neurodegenerative diseases. Traditional antidepressants show limited efficacy, particularly in cases involving comorbid depressive symptoms, highlighting the need for alternative treatments.
Methods
Here we provide the first data on possible benefits of add-on therapy with transcranial pulse stimulation (TPS). Based on the largest patient sample in the emerging field of focused ultrasound (FUS) neuromodulation to date, a retrospective analysis was conducted on 88 patients with various neuropsychiatric diagnoses to evaluate the impact of TPS on depressive symptoms, measured by the Beck Depression Inventory (BDI-II).
Results
The study revealed significant improvements in BDI-II scores posttreatment (N = 88), with the most substantial effects observed in more severely impacted patients: individuals with minimal to severe depression (BDI-II ≥9; N = 32) experienced an average reduction of 5.22 points (29.46%), while those with mild to severe depression (BDI-II ≥14; N = 15) showed an even greater mean improvement of 10.40 points (40.51%). These results surpassed established thresholds for clinical relevance and substantially exceeded placebo effect sizes observed in relevant brain stimulation studies. Moreover, depression score improvement was independent of diagnostic group (dementia, movement disorders, or other), improvement of the primary diagnosis, antidepressant medication, and baseline cognitive status, highlighting the potential of TPS as an effective therapeutic add-on intervention for patients receiving state-of-the-art treatments.
Conclusions
The study’s findings indicate that TPS enhances depression outcomes in neuropsychiatric patients, particularly in those with more severe depressive symptoms.
By a result of Scott [16], each countable structure for a countable language L is described up to isomorphism by an $L_{\omega _1\omega }$-sentence, called a Scott sentence. We consider structures that are countably infinite. By a result of A. Miller [11], no such structure has a $\Sigma _2$ Scott sentence, so having a $\Pi _2$ Scott sentence is as simple as possible. A result of Montalbán [12] yields a nice characterization of the structures that (for a fixed countable language) have a $\Pi _2$ Scott sentence. Computable infinitary formulas involve c.e. disjunctions and conjunctions, so they are in a sense comprehensible. Therefore, we set out to characterize the structures that (for a fixed computable language) have a computable $\Pi _2$ Scott sentence. We found some examples and some partial results. However, it turns out that (for most languages) there is no nice characterization of the class. The index set is $\Pi ^1_1$-complete.