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Understanding the linear growth of disturbances due to external forcing is crucial for flow stability analysis, flow control, and uncertainty quantification. These applications typically require a large number of forward simulations of the forced linearized dynamics, often in a brute-force fashion. When dealing with simple steady-state or periodic base flows, there exist powerful and cost-effective solution operator techniques. Once these solution operators are constructed, they can be used to determine the response to various forcings with negligible computational cost. However, these methods do not apply to problems with arbitrarily time-dependent base flows. This paper develops and investigates reduced-order modelling with time-dependent bases to build low-rank solution operators for forced linearized dynamics with arbitrarily time-dependent base flows. In particular, we use forced optimally time-dependent decomposition (f-OTD), which extracts the time-dependent correlated structures of the flow response to various excitations. Several demonstrations are included to illustrate the utility of the f-OTD low-rank approximation for performing global transient stability analysis. Additionally, we demonstrate the application of f-OTD in computing the post-transient response of linearized Navier–Stokes equations to a large number of impulses, which has applications in flow control.
The UNESCO Convention for the Safeguarding of Intangible Cultural Heritage is designed to secure the protection of intangible cultural heritage (ICH) worldwide.1 The Convention aims to safeguard and ensure respect for ICH of communities, groups, and persons and promote awareness of their significance and international protection in that regard.2 The Convention outlines intangible cultural heritage (ICH) in terms of oral traditions and expressions, including, but not limited to, epics, tales, and stories, and performing arts categories such as music, song, dance, puppetry, and theatre. Other forms of ICH under the Convention include social practices, rituals, and festive events. In its inherently nuanced nature, ICH also includes knowledge and practices relating to nature and the universe. In these categories are folk medicines, folk astronomy, and various natural phenomena. ICH’s wide and nuanced ambit encompasses traditional craftsmanship as well as the sites and spaces in which culturally significant activities and events occur.3 ICH forms part of the daily life and lived realities of people in virtually all parts of the world. It is the beliefs and perspectives, ephemeral performances, and events that are not tangible objects of culture, such as monuments or paintings. ICH is often described as the underlying “spirit” of a cultural group,4 which cannot be detailed in all subtleties.
We show that the twin-width of every $n$-vertex $d$-regular graph is at most $n^{\frac{d-2}{2d-2}+o(1)}$ for any fixed integer $d \geq 2$ and that almost all $d$-regular graphs attain this bound. More generally, we obtain bounds on the twin-width of sparse Erdős–Renyi and regular random graphs, complementing the bounds in the denser regime due to Ahn, Chakraborti, Hendrey, Kim, and Oum.
We study single bubble deformation statistics in an homogeneous and isotropic turbulent flow by means of direct numerical simulations. We consider bubbles at low Weber number ($We <3$) that have not been broken. We show that we can reproduce bubble deformations with a linear dynamics for each spherical harmonic mode. Inferring the coefficients of the linear model from the DNS data, we find that the natural frequency corresponds to the Rayleigh frequency, derived in a quiescent flow. However, the effective damping increases by a factor 7 compared with the quiescent case, at Taylor Reynolds number $\textit {Re}_\lambda = 55$. Looking at the flow structure around the bubble, we argue that the enhanced damping originates from a thick boundary layer surrounding the bubble. We demonstrate that the effective forcing, originating from the turbulent flow forcing on the bubble surface, is independent of bubble deformability. Therefore, the interface deformations are only one-way coupled to the flow. From this model we conclude that bubbles break rather from turbulent fluctuations than from a resonant mechanism. Eventually, we investigate the pressure modes’ statistics in the absence of bubbles and compare them with the effective forcing statistics. We show that both fields share the same probability distribution function, characterized by exponential tails, and a characteristic time scale corresponding to the eddy turnover time at the mode scale.
A screening test for more than 50 cancers at earlier stages would strike many as a godsend. Such a test would promise, prima facie, to save 160,000 lives annually from a premature death from cancer, reduce the intensity of medical treatment, and reduce social costs. In brief, this is what is promised by the Galleri test. We will delineate those claims in greater detail and critically assess them from medical, economic, and ethical perspectives. We conclude, with many others, that this test lacks clinical validity and clinical utility. In addition, annual public funding of $100 billion for this test would be socially unaffordable; the opportunity costs would be unacceptable for both ethical and economic reasons. Further, the least well off with respect to cancer care would be made worse off if this test were publicly funded for everyone over the age of fifty.
Mucoepidermoid carcinoma of unknown primary (MEC-UP) in the head and neck is a rare presentation of the most common salivary gland cancer. Cancers of unknown primary sites often have poorer prognoses than similar cancers with known primary. Few cases of MEC-UP have been reported; therefore, the objective of this report is an overview of the diagnosis and management of MEC-UP.
Methods
We present two patients with low-grade MEC-UP at a high-volume tertiary care institution in Ontario, and a database search returning 1560 citations of which five studies with seven MEC-UP cases were identified.
Results
Review of the limited cases suggest many clinicians use positron emission tomography-computed tomography (PET-CT) in addition to panendoscopy and targeted biopsies with consideration for diagnostic tonsillectomy in diagnostic work-up.
Conclusion
Like other salivary gland cancers, primary therapeutic surgical resection is recommended with low threshold for adjuvant radiotherapy to regions at high risk for harbouring the primary malignancy, especially in cases of high-grade histopathology.
A linearly polarized dual-resonant millimeter-wave absorber for Radio Detection And Ranging (RADAR)applications is presented in this paper. The frequency-selective absorber (FSA) is composed of solitarily using the distributed elements. The proposed FSA achieves a dual-band resonance characteristic utilizing the mutual coupling between concentric square loops, the second harmonic mode of the Jerusalem cross, and the corrugated cross grids. The proposed dual-band FSA operates from 25.5 to 26.5 GHz (1 GHz) (fL) and 31.8 GHz–32.5 GHz (0.7 GHz) (fH) with minimum absorptivity of 96% and 92%, respectively. The desired frequency response of the proposed unit cell is demonstrated by an equivalent circuit model. The FSA prototype is fabricated and the simulated results are validated using experimental measurements. The proposed FSA is a suitable candidate for stealth application in defense and military systems.
Floating fluid-filled membrane breakwater (FFMB) is a temporary structure that can attenuate waves in the deep sea. In this paper the hydrodynamic performance of the FFMB is analysed by using the eigenfunction expansion boundary element method (EEBEM) and physical model experiments. A general motion equation is derived that considers both the dynamic tension and curvature of the membrane. Moreover, an integral expression for the dynamic tension is provided. On this basis, a linear model for solving wave–membrane interaction is established through the EEBEM. Newly designed physical experiments are performed to verify the model and elucidate the nonlinear characteristics of the FFMB. Following verification of the model, this paper investigates the effects of various structural parameters of the FFMB on the wave transmission coefficient, reflection coefficient, horizontal wave force, vertical wave force and dynamic tension. Furthermore, the interrelationship between the structural resonant response and the hydrodynamic performance is elucidated, and the optimal density and filling ratio of the FFMB for engineering applications are proposed. The results demonstrate that the numerical and experimental results are in good agreement, indicating that the model and the motion equation are both practical and highly accurate. By optimizing the structural parameters, the FFMB is capable of effectively attenuating waves within a specific frequency band, while minimizing the wave force.
Hurricane Ida delivered record rainfall to the northeast, resulting in 11 deaths in New York City. We review these deaths, identify risk factors, and discuss solutions to prevent recurrence.
Methods
Deaths were confirmed by multiple sources. Locations of the deceased were obtained from obituaries and plotted on the NYC.gov flood-hazard map. Risk factor information of the decedents was collected when available. Current emergency response plans and mitigation efforts were identified on the NYC.gov officially sanctioned website.
Results
All descendants resided in basement apartments. None of the deaths occurred in a location previously designated a “flood risk zone.” While a flash flood emergency was issued during Hurricane Ida, guidance was not provided during the emergency. Flooding was compounded by the city’s aging infrastructure and lack of green space.
Conclusions
Aging infrastructure, lack of pre-notification, illegal basement apartments, and lack of a planned response all appear to have played a role in these 11 deaths.
Why would authoritarian rulers allow for an independent judiciary that could constrain their power? This study extends the insurance theory of judicial independence to autocratic contexts, arguing that when leaders perceive a higher risk of losing office, they become more likely to tolerate or create independent courts as a safeguard against potential post-exit reprisals. Using a novel two-stage analytical approach, I construct a hazard rate for each country year from the Geddes et al. (2014) autocratic regime dataset, based on factors directly observable to autocratic leaders. This hazard rate serves as a proxy for perceived risk of losing power. My findings provide robust evidence that higher perceived risk is significantly associated with greater judicial independence in autocratic regimes, even when controlling for economic development, regime longevity, and court age. This research offers crucial insights into autocratic governance, demonstrating that promoting judicial independence can be a calculated strategy for regime survival rather than merely a democratic concession.
Systematic review and meta-analysis were conducted to provide comprehensive information on the prevalence of amphistome infections in domestic ruminants in sub-Saharan Africa. A systematic search of peer-reviewed articles published between 2002 and 2023 was conducted. Prevalence estimates and meta-analysis were based on 76 peer-reviewed articles which met the inclusion criteria. Of the 55,122 domestic ruminants screened, 12,858 were infected, and the overall pooled prevalence was 22% (95% confidence interval [CI], 10-37). The highest prevalence was recorded in southern Africa 25% (95% CI, 0-62), and central Africa 16% (95% CI, 0-61) the lowest. Cattle were the most frequently sampled hosts (76.56%, n = 42,202) and sheep (8.78%, n = 4838) the lowest, and cattle recorded the highest pooled prevalence of 28% (95% CI, 12-47), and goats the lowest at 5% (95% CI, 0-14). Prevalence rate was the high in males 32% (95% CI, 21-44), adult ruminants 37% (95% CI, 15-62) and animals with poor body condition 47% (95% CI, 34-60), and during the wet season 36% (95% CI, 0-94). The highest pooled prevalence was recorded at postmortem 23% (95% CI, 8-43) compared to coprology 20% (95% CI, 6-39) studies. The meta-regression model demonstrated that the body condition score, host, and period, and the interactions of different factors significantly influenced the prevalence. The lowest prevalence rate was noted for the period between 2013 and 2023. This is the first systematic review and meta-analysis in sub-Saharan Africa that provides a comprehensive review of the prevalence of amphistome infections in domestic ruminants in the past 20 years.
Let $T$ be a tree on $t$ vertices. We prove that for every positive integer $k$ and every graph $G$, either $G$ contains $k$ pairwise vertex-disjoint subgraphs each having a $T$ minor, or there exists a set $X$ of at most $t(k-1)$ vertices of $G$ such that $G-X$ has no $T$ minor. The bound on the size of $X$ is best possible and improves on an earlier $f(t)k$ bound proved by Fiorini, Joret, and Wood (2013) with some fast-growing function $f(t)$. Moreover, our proof is short and simple.
Liquid plug formation in thin channels due to the Plateau–Rayleigh instability of a liquid film is observed in a variety of fields. In this paper, complementarity between theoretical solutions and direct numerical simulations (DNS) based on a front-tracking algorithm is explored to evaluate the importance of inertia for the case of a cylindrical capillary. A linear stability analysis is first performed and DNS results are then used to investigate the spatial distributions of inertial, convective and viscous terms of the Navier–Stokes equation. The existence of both viscous and inertial regimes is evidenced with a threshold given by the film thickness. The presence of the core fluid slows down the instability. In the viscous regime, predictions of the lubrication theory are verified. An example of liquid water as the outer fluid film and water vapour as the inner core fluid is simulated with application to the fuel cells.
for all integers $n\geq k$, where $a_1,\dots ,a_k,x_0,\dots , x_{k-1}\in \mathbb {Z},$ with $a_k\neq 0$. In 2017, Sanna posed an open question to classify primes p for which the quotient set of $(x_n)_{n\geq 0}$ is dense in $\mathbb {Q}_p$. In a recent paper, we showed that if the characteristic polynomial of the recurrence sequence has a root $\pm \alpha $, where $\alpha $ is a Pisot number and if p is a prime such that the characteristic polynomial of the recurrence sequence is irreducible in $\mathbb {Q}_p$, then the quotient set of $(x_n)_{n\geq 0}$ is dense in $\mathbb {Q}_p$. In this article, we answer the problem for certain linear recurrence sequences whose characteristic polynomials are reducible over $\mathbb {Q}$.
Many population biology, ecology, and evolution experiments rely on the accuracy of the classification of individuals and the estimation of size population. The visual classification of vinegar flies, Drosophila melanogaster (Diptera: Drosophilidae), morphs is a laborious task usually performed by bench workers. Because of the size of the flies and the degree of precision needed to distinguish the morphological features on which the classification is based, the work is performed using a dissecting microscope. Here, we describe a method to automate the counting and identification of two types of vinegar flies, white and wild individuals. Our method is based on the image-recognition artificial intelligence (AI) tool, FlydAI (FlyDetector AI), which proved to correctly classify the flies when high-quality images were used, with a success rate of up to 100% in samples containing up to 200 individuals. This is a significant improvement with respect to preexisting approaches in terms of accuracy and specificity of the morphs detected. Although this tool is exclusively trained to routine lab tasks involving wild and white D. melanogaster, the AI can be easily trained to recognise different vinegar fly mutants and other types of insects of similar size, and its potential in other areas still needs to be explored.
Recovery-oriented approaches are gaining increased attention in the mental health sector, including from the World Health Organization and the United Nations, for their potential to support people in recovering and building meaningful lives through strengths-based, person-centered principles. Kyrie Therapeutic Farm (KTF) is a new initiative in Ireland that seeks to develop recovery-oriented model of adult mental health care. The aim of this study was to explore the barriers and facilitators of recovery-oriented models of practice in a small number of therapeutic farm settings across the world in order to inform service design at KTF whilst also addressing a gap in research on this topic.
Methods:
Three semi-structured focus-group interviews were conducted online via MS Teams with ten staff members in different roles and years of experience from three existing therapeutic community farms. reflexive thematic analysis was employed for data analysis.
Results:
Four themes emerged that illustrate how therapeutic farm communities operate in general and specifically in relation to recovery: 1. common humanity, 2. freedom and responsibility, 3. interdependence and community living, and 4. learning organisations.
Conclusion:
This study demonstrates the viability of recovery-oriented practices in community therapeutic farms, including KTF, thereby contributing to the broader trend toward more person-centered mental health services. The values inherent in the recovery-oriented approach – such as community, empowerment, and close, equitable, non-hierarchical relationships – act as facilitators. However, embedding these values in practice can generate tensions for staff which warrant attention. Implications for the integration into service design of KTF and further research are offered.