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‘The Castles’ project was completed in late 2025 (https://castles.unisi.it) and its innovative, multidisciplinary approach is revealing a revised chronological and typological sequence for the phenomenon of incastellamento in Italy. The results show an earlier appearance of large stone structures and a much later appearance of fortified stone-built villages around seigneurial centres than previously thought.
We solve three problems raised in recent articles by Longstaff [Bull. Aust. Math. Soc.102 (2020), 226–236; 103 (2021), 260–270; 104 (2021), 78–93]. We show that: (1) the length of an irreducible family of $n\times n$ rank-one matrices can take any value $1,2,\ldots ,n$; (2) the slot length of an irreducible pair of $n\times n$ matrices can exceed $2n-4$; and (3) we give bounds on the $1$-minimum spanning lengths of irreducible pairs.
From the 1950s to the 1970s, the Chinese diaspora in Singapore and Malaya found itself entangled in complex geopolitical and ideological struggles, where local and global forces intersected and clashed. The British colonial authorities depicted Chinese student-led, left-wing activities through the lens of the Cold War, framing them as communist insurgency and their artistic expressions as propaganda tools. However, a closer examination of the artistic practices of Chinese youth during this turbulent era reveals a plurality of motivations and ideals that transcended strict ideological binaries. This article offers a cultural and historical examination of the ascent and decline of the art societies—the Yi Yan Hui, its successor the Equator Art Society (EAS), and the Nanyang Academy of Fine Arts (NAFA), as embodied by its inaugural principal Lim Hak Tai. By tracing the personal and artistic journeys of pivotal artists and scrutinizing their aesthetic approaches, the article aims to challenge the long-held binary opposition in the art world of decolonizing Singapore and to shed new light on the on-ground experiences of Chinese youth struggling against Cold War tensions. Utilizing a visual lens, it highlights the agency of left-wing youth and socially engaged artists and reconsiders how these individuals navigated the intertwined realities of Cold War geopolitics and their imagined ideals of independent Singapore and Malaya.
We consider random lower triangular matrices such that the entries on and below the diagonal are i.i.d. copies of some $\mathbb{Z}$-valued random variable. We prove that the Sylow $p$-subgroups of the cokernels of these matrices have the same constant order fluctuations as those of the matrix products studied by Nguyen and Van Peski. Unlike for matrix products, for triangular matrices, the law of the limiting fluctuations depends slightly on the distribution of the entries. As a special case, we can describe the limiting fluctuations of the rank of lower triangular matrices over $\mathbb{F}_p$ with i.i.d. random entries on and below the diagonal.
This study evaluated whether the 3-minute Step Test, a submaximal measure of cardiorespiratory fitness, can predict cardiometabolic and arterial health in youth with atherosclerosis-promoting cardiometabolic risk factors.
Methods:
Children and adolescents attended a paediatric preventive cardiology clinic for management of cardiometabolic risk factors. Cardiorespiratory fitness was assessed using a 3-minute Step Test, where an individual steps up/down on a 6-inch step at 24 steps/min for 3 minutes. The percentage of age-predicted maximum heart rate that was attained at the end of the Step Test was recorded as a measure of physiological work (cardiorespiratory fitness). Lifestyle-influenced cardiometabolic risk factors included: body anthropometrics [body mass index z-score, waist-to-height ratio z-score], systolic blood pressure, and serum markers [triglycerides, high-density lipoprotein cholesterol, haemoglobin A1C, alanine aminotransferase, vitamin D]. Arterial function was assessed by measuring pulse wave velocity and was normalised to sex and height-specific z-score.
Results:
The sample included 482 patients [age 14.31 ± 2.38 years, 261 (53%) male]. A higher percent predicted peak heart rate strongly correlated with worse lifestyle-influenced cardiometabolic risk factors and with higher pulse wave velocity, suggesting increased arterial stiffness.
Conclusion:
Percent predicted peak heart rate from the 3-minute Step Test was associated with cardiometabolic and arterial health. The 3-minute Step Test is an inexpensive, quick, and low-resource-intensive method to estimate cardiorespiratory fitness, cardiometabolic and arterial health in an outpatient clinical setting.
Hyperbolic tapering is increasingly recommended for the gradual reduction of psychiatric drugs to minimise withdrawal symptoms, yet available formulations rarely accommodate the small dose regimens required.
Aims
To evaluate whether pharmaceutical manipulation strategies – as proposed in clinical guidelines for hyperbolic tapering – can produce progressively smaller haloperidol doses with adequate accuracy and precision.
Method
Strategies included whole and split tablets, liquid dispensed via dropper or dosing syringe, diluted solutions and tablet suspension, applied under controlled laboratory conditions. Haloperidol was used as a model, following an exponential 10% dose reduction schedule from 5 to 0 mg, generating multiple tapering steps that mirrored real-world scenarios. Drug content was quantified by high-performance liquid chromatography and interpreted according to an adapted pharmacopoeial criterion.
Results
All strategies yielded mean doses within 90–110% of expected values, demonstrating satisfactory accuracy and reproducibility. Variability was higher with tablet splitting, drop-based measurements and tablet suspension (relative standard deviation of 8.0%), whereas the use of whole tablets, dosing syringe and diluted liquid improved precision (relative standard deviation of 3.3%). These findings demonstrate the technical feasibility of achieving progressively smaller doses through standardised manipulation strategies, providing experimental support for hyperbolic tapering in clinical practice.
Conclusions
Although off-label, such approaches currently offer the only practical means for safe dose reduction in the absence of smaller dose formulations, highlighting a regulatory gap between product design and clinical needs. Aligned with clinical guidelines, our findings support manipulation strategies as a practical and reliable component of individualised dose reduction in psychiatric care.
Let M be a pinched negatively curved Riemannian orbifold, whose fundamental group has torsion of order $2$. Generalising results of Sarnak and Erlandsson-Souto for constant curvature oriented surfaces, and with very different techniques, we give an asymptotic counting result on the number of strongly reversible periodic orbits of the geodesic flow in $T^1M$, and prove their equidistribution towards the Bowen-Margulis measure. The result holds in the more general setting with weights coming from thermodynamic formalism, and also in the analogous setting of graphs of groups with $2$-torsion. We give new examples in real hyperbolic Coxeter groups, complex hyperbolic orbifolds and graphs of groups.
Paediatric mechanical circulatory support with Berlin Heart—EXCOR® Paediatric is predominantly used as a bridge to transplant or recovery, specifically in children up to 30 kg. While survival with ventricular assist devices has improved, insights into morbidity and quality of life remain limited. Safely discharging children, particularly with the new driving unit EXCOR® Active (BH-EA), is now of clinical interest. Multidisciplinary and caregiver perspectives are needed to inform practice.
Methods:
Through semi-structured interviews with 22 professionals (physicians, nurses, psychologists, engineers, physiotherapists, social workers, child education specialists, chaplains) and three caregivers of hospitalised children on BH-EA, we explored: (1) device safety and daily care; (2) hospital environmental factors; (3) requirements for transitioning home with EXCOR® Active.
Results:
Qualitative analysis yielded three main themes; of which two are explored in this publication: alarm management and home-discharge requirements for paediatric BH-EA patients. Participants described frequent low-priority alarms contributing to alarm fatigue. They called for clearer procedures, shared responsibilities, and enhanced caregiver training and identified prerequisites for safe discharge, including a 24/7 emergency hotline, remote monitoring, comprehensive system-wide support, caregiver training, and strong healthcare networks.
Conclusion:
The interviews highlight that the BH-EA alarm management is conceptualised for in-hospital care, which leads to reservations concerning reliable home monitoring during medical events, such as blood clot formation. Multidisciplinary efforts are essential to enhance device safety, empower caregivers, and develop effective discharge programmes for children on BH-EA. Furthermore, organ allocation systems should be adjusted to avoid disadvantages in organ waiting times following home discharge.
Academic psychiatrists play a key role in mental health research and help the UK to punch well above its weight internationally. However, over the past two decades there has been a progressive decline in the number of academic psychiatrists in the UK: there are now 31% fewer than there were in 2006. Reversing this trend is critical for the health of psychiatric research.
This report provides an overview of the current state of the German twin family panel TwinLife, including information on design and sample characteristics as well as a selection of assessed constructs. TwinLife is a register-based longitudinal panel of four birth cohorts of German-speaking monozygotic and dizygotic same-sex twin pairs, and their core family members, including parents and siblings, but also partners and children of twins, if available. Using address data provided by a representative set of residents’ registration offices from across Germany, twin families were identified through a multistage process. The twins were born in 1990−1993, 1997−1998, 2003−2004, and 2009−2010. They were about 5, 11, 17, and 23 years old at the time of the first survey. Designed to investigate the development of social inequalities over the life course, the TwinLife currently covers an observation period from 2014 to 2025. In the first wave, the panel included data on 4096 twin families from all parts of Germany, covering the full range of key socioeconomic indicators. Over the years, the core TwinLife project has been expanded by several satellite projects, such as the molecular genetic TwinSNPs and the TwinLife Epigenetic Change Satellite (TECS) project. TwinLife provides a unique database with a wide-ranging potential for research, since it combines a longitudinal panel with an extended twin family design, adding genetic, epigenetic and additional biological data as well as the possibility to match geographical information.