To save content items to your account,
please confirm that you agree to abide by our usage policies.
If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account.
Find out more about saving content to .
To save content items to your Kindle, first ensure no-reply@cambridge.org
is added to your Approved Personal Document E-mail List under your Personal Document Settings
on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part
of your Kindle email address below.
Find out more about saving to your Kindle.
Note you can select to save to either the @free.kindle.com or @kindle.com variations.
‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi.
‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.
The shock wave accelerating a heavy fluid layer can induce reverberating waves that continuously interact with the first and second interfaces. In order to manipulate the perturbation growths at fluid-layer interfaces, we present a theoretical framework to eliminate the reverberating waves. A model is established to predict the individual freeze-out (i.e. stagnation of perturbation growth) for the first and second interfaces under specific flow conditions determined based on the shock dynamics theory. The theoretical model quantifies the controllable parameters required for freeze-out, including the initial amplitudes of the first and second interfaces, the interface coupling strength and the maximum initial layer thickness preventing the second interface's phase reversal. The effectiveness of the model in predicting individual freeze-out for the first and second interfaces is validated numerically over a wide range of initial conditions. The upper and lower limits of initial amplitudes for the freeze-out of the whole fluid-layer width growth are further predicted. Within this amplitude range, a slightly higher initial amplitude for the second interface is specified, effectively arresting the growth of the entire fluid-layer width before the phase reversal of the second interface.
An overview of circumstances in which twins take the place of their co-twin is presented. Various explanations and speculations are proposed for understanding twins’ willingness to do so in certain situations. This section is followed by reviews of timely twin research, namely single versus multiple embryo transfer; neurimaging of twins with periventricular nodular heterotopia; a twin dietary comparison; and a new book of twin-related readings from Hungary. The final portion of this article concerns human interest stories that both inform and entertain. They involve valedictorian and salutatorian twins; a mother delivering twins at age seventy; twins reunited by TikTok; a new film about twins with selective mutism; and twins becoming doctors.
We prove that the set of elementary tensors is weakly closed in the projective tensor product of two Banach spaces. As a result, we answer a question of Rodríguez and Rueda Zoca [‘Weak precompactness in projective tensor products’, Indag. Math. (N.S.)35(1) (2024), 60–75], proving that if $(x_n) \subset X$ and $(y_n) \subset Y$ are two weakly null sequences such that $(x_n \otimes y_n)$ converges weakly in $X \widehat {\otimes }_\pi Y$, then $(x_n \otimes y_n)$ is also weakly null.
Providing source material for liturgical practice on a significant proportion of feast days in each sanctorale cycle, the Commune sanctorum liturgies had crucial daily importance for medieval Christians. Despite their frequent use, or perhaps because of this prosaic nature, the Commune sanctorum has rarely been considered as a liturgical phenomenon in its own right. Focusing on the Old Hispanic liturgy, this article explores the creation and presentation of the Commune sanctorum. We address systematically a question left unexamined in previous scholarship: where did the Commune sanctorum come from? We first survey the Old Hispanic material shared with other rites. Turning then to the Old Hispanic rite’s unique material, we examine materials found only in the Commons and those shared elsewhere in the rite. We set out a methodology for determining the direction of origin for such shared chants, demonstrating the importance of proper saints’ liturgies in the creation of the Commune sanctorum as well as the creative interest in producing new Commons materials. In addition to the origin of the Commune sanctorum, this article engages with manuscript presentation, asking how Commons materials were organized and how such presentations guided liturgical practitioners. A deeper understanding of the Commune sanctorum opens a window onto one of the foundational devotional experiences of Western Christendom.
The aim of this study was to review our institution’s experience with truncus arteriosus from prenatal diagnosis to clinical outcome.
Methods:
and results: We conducted a single-centre retrospective cohort study for the years 2005–2020. Truncus arteriosus antenatal echocardiographic diagnostic accuracy within our institution was 92.3%. After antenatal diagnosis, five parents (31%) decided to terminate the pregnancy. After inclusion from referring hospitals, 16 patients were offered surgery and were available for follow-up. Right ventricle-to-pulmonary artery continuity was preferably established without the use of a valve (direct connection), which was possible in 14 patients (88%). There was no early or late mortality. Reinterventions were performed in half of the patients at latest follow-up (median follow-up of 5.4 years). At a median age of 5.5 years, 13 out of 14 patients were still without right ventricle-to-pulmonary artery valve, which was well tolerated without signs of right heart failure. The right ventricle demonstrated preserved systolic function as expressed by tricuspid annular plane systolic excursion z-score (−1.4 ± 1.7) and fractional area change (44 ± 12%). The dimensions and function of the left ventricle were normal at latest follow-up (ejection fraction 64.4 ± 6.2%, fractional shortening 34.3 ± 4.3%).
Conclusions:
This study demonstrates good prenatal diagnostic accuracy of truncus arteriosus. There was no mortality and favourable clinical outcomes at mid-term follow-up, with little interventions on the right ventricle-to-pulmonary artery connection and no right ventricle deterioration. This supports the notion that current perspectives of patients with truncus arteriosus are good, in contrast to the poor historic outcome series. This insight can be used in counselling and surgical decision-making.
Understanding and controlling fluid entrapment during forced imbibition in porous media is crucial for many natural and industrial applications. However, the microscale physics and macroscopic consequences of fluid entrapment in these geometric-confined porous media remain poorly understood. Here, we introduce a novel multidepth microfluidic chip, which can mitigate the depth confinement of traditional two-dimensional (2-D) microfluidic chips and mimic the wide pore size distribution as natural-occurring three-dimensional (3-D) porous media. Based on microfluidic experiments and direct numerical simulations, we observe the fluid-entrapment scenarios and elucidate the underlying complex interaction between geometric confinement, capillary number and wettability. Increasing depth variation can promote fluid entrapment, whereas increasing capillary number and contact angle yield the opposite effect, which seemingly contradicts conventional expectations in traditional 2-D microfluidic chips. The fluid-entrapment scenario in depth-variable microfluidic chips stems from microscopic interfacial phenomena, classified as snap-off and bypass events. We provide theoretical analyses of these pore-scale events and validate corresponding phase diagrams numerically. It is shown that increasing depth variation triggers snap-off and bypass events. Conversely, a higher capillary number suppresses snap-off events under strong imbibition, and an increased contact angle inhibits bypass events under imbibition. These macroscopic imbibition patterns in microfluidic porous media can be linked with these pore-scale events by improved dynamic pore-network models. Our findings bridge the understanding of forced imbibition between 2-D and 3-D porous media and provide design principles for newly engineered porous media with respect to their desired imbibition behaviours.
Theological voluntarism is a family of metaethical views that share the claim that deontological statuses of actions are dependent on or identical with some divine feature. Adams's version of this theistic metaethical view is a divine command theory (DCT). According to Adams's DCT, the property being-morally-obligated is identical to the property being-commanded-by-God. Thus, a natural consequence of Adams's DCT is that an agent is morally obligated to do something just in case God commands that agent to do such a thing. From Adams's DCT, it follows that God is morally obligated to act just in case God commands himself to act. Quinn argued that commanding oneself is incoherent and, therefore, that God cannot be morally obligated to act. The claim that commanding oneself is incoherent has seldom been discussed in the divine command theory literature. This article is an attempt to change that. Here, I argue (contra Quinn) that that no constitutive rule (or condition of satisfaction) of self-commands is incoherent, from which it follows that self-commanding is not an incoherent speech act. I conclude that divine command theorists can, without the charge of incoherence, affirm that God can be morally obligated because God can command himself.
Who is held responsible when international organisations (IOs) fall short of public expectations? Scholarship on IO blame avoidance assumes that member states can hide behind IOs. As clarity of responsibility is assumed to be lacking in IOs, public responsibility attributions (PRA) will usually target the IO rather than individual member states. We argue, by contrast, that even in complex IOs such as the European Union (EU), clarity of responsibility is not always lacking. Therefore, whether the IO in general or individual member states become the main target of public blame attributions depends on the type of IO policy failure. In cases of failures to act and failures to comply, the responsibility of individual member states is comparatively easy to identify, and they thus become the main blame target. Only in cases of failures to perform clarity of responsibility is lacking, and the IO will become the main target of public blame attributions. To assess the plausibility of this‘failure hypothesis’, we study public blame attributions in two cases of EU foreign policy failures and two cases of EU environmental policy failures.
To assess the efficacy and safety of two different modes of administration, external ear canal filling and smearing, in the treatment of otomycosis.
Methods
A computerised search of relevant published studies in the China National Knowledge Infrastructure, China Biology Medicine, Web of Science, PubMed, Embase and Cochrane Library databases that include randomised controlled trials or clinically controlled trials on the same drug in different modes of administration for the treatment of otomycosis.
Results
Seven studies with 934 patients were included. The filled group had a higher clinical efficacy (relative risk = 1.18, 95 per cent confidence interval (CI) 1.12–1.24, p < 0.0001) and a lower recurrence rate (relative risk = 0.29, 95 per cent CI 0.18–0.47, p < 0.0001) compared with the smear group, and there was no significant difference in the adverse effects (relative risk = 0.61, 95 per cent CI 0.34–1.12, p = 0.11).
Conclusion
Current evidence suggests that the efficacy of the delivery modality of the external auditory canal filling treatment is significantly better than external auditory canal smearing.
A new crinoid fauna has been discovered in the Upper Ordovician (Katian) Martinsburg Formation at a small shale quarry, locally known as the ‘Shale Bank,’ on the Shawangunk Ridge in Ulster County, NY. The assemblage, which is from a relatively low energy, offshore mud-bottom environment, includes four identified species, including a new species of glyptocrinid camerate, Pycnocrinus mohonkensis n. sp., described herein. Crinoid taxa in order of increasing branch density in the assemblage include (1) the dicyclic inadunate Merocrinus curtus with irregularly isotomous and heterotomous, non-pinnulate arms and a stout cylindrical column exceeding 700 mm; (2) the disparids Cincinnaticrinus varibrachialus, with heterotomous non pinnulate arms, and Ectenocrinus simplex, with extensively branched ramulate arms and meric columns of 460–500 mm; and (3) the camerate Pycnocrinus mohonkensis n. sp., with uniserial pinnulate arms and a somewhat shorter column. Some cylindrical stems with nodose and holomeric columnals are thought to belong to unknown camerate crinoids with pinnulate arms. Filtration theory is used to model food capture in the Martinsburg crinoids. Surprisingly, even densely pinnulate camerates were able to survive in this setting, suggesting that ambient currents attained velocities exceeding 25 cm/sec even in this offshore setting. Similar assemblages were widespread in eastern Laurentia during the Late Ordovician.
In the past decade, interest has significantly increased regarding the medicinal and nutritional benefits of pomegranate (Punica granatum) peel. This study examined the effects of using pomegranate peel extract (PGE) alone and in combination with albendazole (ABZ) on ultrastructural and immunological changes in cystic echinococcosis in laboratory-infected mice. Results revealed that the smallest hydatid cyst size and weight (0.48 ± 0.47mm, 0.17 ± 0.18 gm) with the highest drug efficacy (56.2%) was detected in the PGE + ABZ group, which also exhibited marked histopathological improvement. Ultrastructural changes recorded by transmission electron microscopy including fragmentation of the nucleus, glycogen depletion, and multiple lysosomes in vacuolated cytoplasm were more often observed in PGE + ABZ group. IFN-γ levels were significantly increased in the group treated with ABZ, with a notable reduction following PGE treatment, whether administered alone or in combination with ABZ. Thus, PGE enhanced the therapeutic efficiency of ABZ, with improvement in histopathological and ultrastructural changes.
Fetal exposure to prenatal stress can increase risk for psychopathology but postnatal caregiving may offset risk. This study tests whether maternal sensitivity and the home environment during early childhood modify associations of prenatal stress with offspring behavior in a sample of 127 mother–child pairs (n = 127). Mothers reported on perceived stress during pregnancy. Maternal sensitivity was rated by coders during a parent–child free play task when children were 4 years old. One year later, mothers reported on the home environment, child internalizing and externalizing behaviors, and children completed an assessment of inhibitory control. As hypothesized, the early childhood caregiving environment modified associations of prenatal stress with child behavior. Specifically, prenatal stress was associated with more internalizing behaviors at lower levels of maternal sensitivity and in home environments that were lower in emotional support and cognitive stimulation, but not at mean or higher levels. Furthermore, prenatal stress was associated with lower inhibitory control only at lower levels of maternal sensitivity, but not at higher levels. Maternal sensitivity and an emotionally supportive and cognitively stimulating home environment in early childhood may be important factors that mitigate risk for mental health problems among children exposed to prenatal stress.
The Wichita and Affiliated Tribes have a long history of occupation in what is now known as Oklahoma. This includes evidence of habitations along Camp Creek and Sugar Creek near Anadarko in Caddo County. Here Wichita peoples camped, built grass houses and arbors, and held social gatherings leading up to and following the passing of the General Allotment Act in 1887. After allotment, communal camp and dance grounds were especially important focal points for community building. These places, such as the ichaskhah camp and dance ground discussed in this article, are critical to understanding the multigenerational connections between ancestral and living Wichita peoples. This history is also important to the community today. However, archaeological research of the Allotment period is exceptionally rare in this region. By using collaborative and Indigenous archaeological methodologies, this work documents the complexities of these places, challenging traditional assumptions of allotment-era cultural loss and assimilation.
Women with breast cancer show dissatisfaction with their appearance, a perception of loss of femininity and bodily integrity, and dissatisfaction with the outcome of the surgery. Body Appreciation (BA) is defined as positive attitudes toward one’s body, beyond satisfaction and dissatisfaction with one’s appearance. Although studies about the protective role of BA have increased, to the best of our knowledge, there are no published studies on the association between BA, body dissatisfaction, and distress in participants with breast cancer. The aims of this study are: (a) To analyze whether BA is a moderator of satisfaction with the body from before breast surgery to the one-year follow-up; and (b) to analyze whether BA is a moderator of distress from before breast surgery to the one-year follow-up. The sample consisted of 115 women diagnosed with breast cancer. Several hierarchical regression analyses were conducted. The results indicated that BA moderated the association between the appearance evaluation before the surgery and the appearance evaluation 12 months after the surgery. Although BA was a significative predictor of distress, it was not a moderator of distress from the moment before breast surgery to the one-year follow-up. This study highlights the importance of evaluating the construct of BA in participants with breast cancer using longitudinal designs and developing psychological interventions that focus on increasing BA.
Although there is a range of approaches for classifying the wake structure behind an array of obstacles, these approaches provide inconsistent results across different array systems. This motivates the present study to integrate and reconcile these approaches into one that is consistent across different systems. This new, transferable classification approach is based on the dimensionless flow blockage of the array and the wake stability parameter. To demonstrate this approach, a series of laboratory experiments was conducted to characterise the wake structure behind an array of emergent cylinders across a practically relevant parameter space that has not previously been explored. Two arrays with the same values of flow blockage and wake stability parameters but different sizes display the same wake structure, demonstrating the controlling influence of these two parameters on the wake structure. This approach classifies four different wake structures, which are distinct in that they display differences in instantaneous and time-averaged flow fields, temporal velocity oscillations, shear layer growth and the length of the steady wake region. The dependence of the wake structure on the two parameters is a consequence of (i) the controlling influence of blockage on the fraction of incident flow passing through the array and (ii) the ability of shallowness to suppress wake instabilities and, to a lesser extent, also influence the velocity through the array. This paper provides a predictive framework for the wake structure based on knowledge of the array geometry, and the depth and velocity of incident flow across the entire relevant practical parameter space.
Stirring a fluid through a Gaussian forcing at a vanishingly small Reynolds number produces a Gaussian random field, while flows at higher Reynolds numbers exhibit non-Gaussianity, cascades, anomalous scaling and preferential alignments. Recent works (Yakhot & Donzis, Phys. Rev. Lett., vol. 119, 2017, 044501; Khurshid et al., Phys. Rev. E, vol. 107, 2023, 045102) investigated the onset of these turbulent hallmarks in low-Reynolds-number flows by focusing on the scaling of the velocity gradients and velocity increments. They showed that the onset of power-law scalings in the velocity gradient statistics occurs at low Reynolds numbers, with the scaling exponents being surprisingly similar to those in the inertial range of fully developed turbulence. In this work we address the onset of turbulent signatures in low-Reynolds-number flows from the viewpoint of the velocity gradient dynamics, giving insights into its rich statistical geometry. We combine a perturbation theory of the full Navier–Stokes equations with velocity gradient modelling. This procedure results in a stochastic model for the velocity gradient in which the model coefficients follow directly from the Navier–Stokes equations and statistical homogeneity constraints. The Fokker–Planck equation associated with our stochastic model admits an analytic solution that shows the onset of turbulent hallmarks at low Reynolds numbers: skewness, intermittency and preferential alignments arise in the velocity gradient statistics through a smooth transition as the Reynolds number increases. The model predictions are in excellent agreement with direct numerical simulations of low-Reynolds-number flows.
For N integer $\ge 1$, K. Murty and D. Ramakrishnan defined the Nth Heisenberg curve, as the compactified quotient $X^{\prime }_N$ of the upper half-plane by a certain non-congruence subgroup of the modular group. They ask whether the Manin–Drinfeld principle holds, namely, if the divisors supported on the cusps of those curves are torsion in the Jacobian. We give a model over $\mathbf {Z}[\mu _N,1/N]$ of the Nth Heisenberg curve as covering of the Nth Fermat curve. We show that the Manin–Drinfeld principle holds for $N=3$, but not for $N=5$. We show that the description by generator and relations due to Rohrlich of the cuspidal subgroup of the Fermat curve is explained by the Heisenberg covering, together with a higher covering of a similar nature. The curves $X_N$ and the classical modular curves $X(n)$, for n even integer, both dominate $X(2)$, which produces a morphism between Jacobians $J_N\rightarrow J(n)$. We prove that the latter has image $0$ or an elliptic curve of j-invariant $0$. In passing, we give a description of the homology of $X^{\prime }_{N}$.
Let f and g be analytic functions on the open unit disk ${\mathbb D}$ such that $|f|=|g|$ on a set A. We give an alternative proof of the result of Perez that there exists c in the unit circle ${\mathbb T}$ such that $f=cg$ when A is the union of two lines in ${\mathbb D}$ intersecting at an angle that is an irrational multiple of $\pi $, and from this, deduce a sequential generalization of the result. Similarly, the same conclusion is valid when f and g are in the Nevanlinna class and A is the union of the unit circle and an interior circle, tangential or not. We also provide sequential versions of this result and analyze the case $A=r{\mathbb T}$. Finally, we examine the most general situation when there is equality on two distinct circles in the disk, proving a result or counterexample for each possible configuration.