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.
Algal beds are biodiversity hotspots in coastal ecosystems, forming complex food webs based on seaweeds. Epifauna serve as important indicators of algal productivity and environmental change, interacting closely with their host seaweeds. This study compared the composition of epifaunal assemblages associated with different seaweed species in the Noto Peninsula, Japan, to elucidate their characteristics. A survey of epifaunal communities on 13 seaweed species around Tsukumo Bay revealed significant differences in abundance and composition among species. Epifaunal abundance was particularly high in Sargassum siliquastrum and Sargassum patens. Differences in assemblage structures were observed among seaweed species and sampling sites. Fucales seaweeds harboured more diverse epifaunal communities compared with Laminariales species. Variations in epifaunal composition among taxa suggest that interactions with host seaweed species play a crucial role in shaping assemblage structure.
A Rascal triangle is a Pascal-type numeric triangle developed in 2010 by three middle-school students, Alif Anggoro, Eddy Liu and Angus Tulloch [1]. During their mathematics classes they were challenged to provide the next row for the following sequence:The expected answer was the one that matches Pascal’s triangle, i.e. 1 4 6 4 1, obtained by applying the recurrence rule of binomial coefficients South = East + West. Instead, the young students suggested that the next row should be 1 4 5 4 1. In contrast to Pascal’s triangle rule South = East + West, they produced the new row using the relation they called the diamond formulaBy applying the diamond formula (1), the students produced an original triangular sequence known as the Rascal triangle, see Table 1.
Mathematics and physics are fascinatingly connected with each other. Since [1] first pointed out the relationship between the number π and the total number of collisions between two blocks and a wall, it has generated wide interest among the general public [2, 3, 4, 5]. A carefully made video presents an elegant and crystal clear geometric explanation [6], which is followed by a slightly more advanced explanation based on linear algebra, matrix formalism in particular [7]. References [2, 3, 6] attribute the geometric approach to different individuals, but the relationship actually appeared much earlier in a physics journal which focused on the number of collisions rather than its connection with the number π [8].
This article explores the early modern scholarly debate over the cock’s crow in the New Testament account of Peter’s denial, focusing on theologians and savants such as Johann Georg Altmann (1697–1758), John Lightfoot (1602–75) and Adriaan Reland (1676–1718). What began as a narrow philological puzzle, whether the text referred to a rooster or a human herald, expanded into a broader debate over scriptural authority. Set within the intellectual context of the republic of letters, the article shows how efforts to reconcile Scripture with ancient Jewish law and classical sources could unwittingly sow the seeds of doubt and unbelief.
This study applies the scaling patch approach to investigate the influence of pressure gradients on the mean-momentum balance in turbulent boundary layers (TBLs). Under strong pressure gradients, the force balance in the outer region is dominated by advective and pressure forces, with gradients of Reynolds stresses playing a minimal role. To retain the relevance of Reynolds stress gradients within the scaling patch framework, we propose a redistribution of the component $U_e \textrm {d}U_e/\textrm {d}x$ from the advective term to the pressure-gradient term. Here, $U_e$ is the mean streamwise velocity at the boundary layer edge. This reformulation enhances the outer-scaling framework of Wei & Knopp (2023 J. Fluid Mech. 958, 1–21), ensuring consistency across a wide range of pressure gradients, including those involving flow separation. Remarkably, the new outer-scaled gradient of Reynolds shear stress in TBLs under a pressure gradient closely resembles that observed in zero-pressure-gradient TBLs. In the inner region, the impact of pressure gradient is well captured by the Stratford–Mellor parameter $\beta _{\textit{in}}$. For weak pressure gradients ($|\beta _{\textit{in}}| \ll 0.07$), traditional inner scaling remains valid. However, for stronger pressure gradients $|\beta _{\textit{in}}| \gtrsim 0.07$, the near-wall dynamics is governed by a balance between pressure gradient and viscous force, as described by Stratford (1959 J. Fluid Mech. 5, 1–16) and Mellor (1966 J. Fluid Mech. 24, 255–274). In this sub-layer, viscosity and the imposed wall pressure gradient dictate the relevant velocity and length scales. Moreover, when $|\beta _{\textit{in}}| \gtrsim 0.7$ and the wall pressure $P_{w\textit{all}}$ gradient $\textrm { d}P_{w\textit{all}}/\textrm {d}x \gt 0$, a distinct sub-layer emerges outside the pressure–viscous balance region, characterised by a dominant balance between the imposed pressure gradient and the gradient of the Reynolds shear stress. In this region, the Reynolds shear stress increases linearly with distance from the wall. These findings provide new insights into the structure of TBLs under pressure gradients and establish a refined framework for modelling their dynamics.
We consider the problem of predicting the next bit in an infinite binary sequence sampled from the Cantor space with an unknown computable measure. We propose a new theoretical framework to investigate the properties of good computable predictions, focusing on such predictions’ convergence rate.
Since no computable prediction can be the best, we first define a better prediction as one that dominates the other measure. We then prove that this is equivalent to the condition that the sum of the KL divergence errors of its predictions is smaller than that of the other prediction for more computable measures. We call that such a computable prediction is more general than the other.
We further show that the sum of any sufficiently general prediction errors is a finite left-c.e. Martin-Löf random real. This means the errors converge to zero more slowly than any computable function.
Postnatal depression (PND) affects up to one in four mothers. However, they may experience barriers to access to conventional treatments, indicating a need for alternatives such as arts-based interventions. A previous trial showed that a 10-week singing intervention could alleviate symptoms of PND.
Aims
To evaluate, in a larger sample and across a longer timeframe than previously, the clinical effectiveness, implementation effectiveness and cost-effectiveness of the Melodies for Mums (M4M) singing intervention for symptoms of PND.
Method
One-hundred and ninety-nine mothers experiencing symptoms of PND (Edinburgh Postnatal Depression Scale score ≥10) and their babies were randomised to 10 weeks of in-person singing sessions (M4M, n = 133) or an active control (existing community-based mother–baby activities, n = 66). Mothers were re-assessed at weeks 6, 10, 20 and 36 for depression, healthcare use for themselves and their babies, and health-related quality of life according to the EQ5D-3. The perceived acceptability (Acceptability of Intervention Measure), appropriateness (Intervention Appropriateness Measure) and feasibility (Feasibility of Intervention Measure) of the activity were also assessed at week 6. Trial registration number: NCT04834622.
Results
Mothers in both groups experienced attenuation of depressive symptoms by week 10; however, those in the singing group maintained lower EPDS scores than those in the control group at week 20 (10.7 v. 12.2 (mean difference 95% CI [−2.96, −0.22]), P = 0.023) and week 36 (9.85 v. 11.4 [−2.93, −0.19], P = 0.026). Mothers in the singing group were also more likely to remain in the study (77 v. 57%, χ2(1) = 12.92, P < 0.001) and found their programme more acceptable (4.75 v. 4.0 [0.25, 0.83], U = 2436.5, P < 0.001), appropriate (4.25 v. 3.88 [0.12, 0.62], U = 2241.5, P < 0.001) and feasible (4.75 v. 4.0 [0.41, 0.91], U = 2568.0, P < 0.001). Finally, M4M was associated with 15 extra days of health and was found to be cost-effective (£126–539 per dyad).
Conclusion
M4M had a long-lasting effect on symptoms of PND and was perceived to be more suitable than existing activities; thus, M4M represents a worthwhile investment for healthcare systems as an intervention for mothers experiencing symptoms of PND.
We assessed the impact of an oral care initiative on non-ventilator-associated hospital-acquired pneumonia (NV-HAP) risk using two different measurement strategies.
Methods:
We evaluated changes in NV-HAP events among all patients admitted to 17 VA Medical Centers (1) across the period 10/01/2015–12/31/2019, and (2) one-year pre- vs post- each hospital’s oral care initiative start date. We modeled and compared observed versus predicted NV-HAP events per hospitalization using (1) an electronic clinical definition and (2) diagnosis codes, adjusting for patients’ demographics, vital signs, and laboratory results at presentation.
Results:
Among 333,257 hospitalizations, 1,922 (0.58%) met NV-HAP electronic clinical criteria and 2,386 (0.72%) diagnostic coding criteria. The risk of NV-HAP defined by electronic clinical criteria was 0.62% in October 2015 and 0.54% in December 2019 (estimated difference –0.084% [95% CI: –0.17%, 0.0056%]; the risk of NV-HAP defined by diagnostic coding decreased from 1.0% to 0.48% (estimated difference –0.53% [–0.63%, –0.43%]). In the one-year pre- vs post-analysis, there was no evidence of effect of the implementation on NV-HAP using either electronic clinical criteria (adjusted risk difference –0.078% (95% CI: –0.25%, 0.091%) or diagnostic coding criteria (adjusted risk difference –0.021% (95% CI: –0.18%, 0.14%).
Conclusions:
In a large multi-center study of hospitalized patients, we were unable to identify a clear effect of an oral care initiative on NV-HAP using electronic clinical criteria or diagnostic coding criteria.
This study investigated coping mechanisms among neurosurgeons responding to earthquake-related stress following the February 6, 2023, Kahramanmaraş earthquake in Turkey. Given the extreme challenges faced by neurosurgical teams, the study aimed to illuminate their stress-coping strategies under crisis conditions.
Methods
A cross-sectional study was conducted in 2023 with 64 neurosurgeons engaged in earthquake relief efforts. The Coping with Earthquake Stress Questionnaire (CESQ), covering Religious Coping, Positive Reappraisal, and Seeking Social Support dimensions, was administered. Convenience sampling was used. Data analysis employed IBM SPSS 25.0, applying descriptive statistics, Chi-square, t-tests, ANOVA with Bonferroni correction, and Pearson correlation (α = 0.05). Power analysis confirmed sufficient sample size.
Results
Neurosurgeons showed notable psychological resilience despite personal and material losses. Positive reappraisal was the most common coping strategy, consistent across experience levels. Although not statistically significant, less experienced neurosurgeons (1-5 years) showed a higher tendency toward seeking social support. A positive correlation was observed between Religious Coping and Positive Reappraisal.
Conclusion
Positive reappraisal emerged as a key coping mechanism, underlining neurosurgeons’ resilience. Mental health support, especially for early-career professionals, remains vital. Broader CESQ applications and cross-cultural studies are encouraged to guide future psychological preparedness efforts in neurosurgery.