In this paper, we establish Newton–Maclaurin-type inequalities for functions arising from linear combinations of primitively symmetric polynomials. This generalization extends the classical Newton–Maclaurin inequality to a broader class of functions.

Let $(A,\mathfrak{m} )$ be a hypersurface local ring of dimension $d \geq 1$ and let I be an $\mathfrak{m} $-primary ideal. We show that there is a integer rI$\geq\;-1$ (depending only on I) such that if M is any non-free maximal Cohen–Macaulay (= MCM) A-module the function $n \rightarrow \ell(\operatorname{Tor}^A_1(M, A/I^{n+1}))$ (which is of polynomial type) has degree rI. Analogous results hold for Hilbert polynomials associated to Ext-functors. Surprisingly, a key ingredient is the classification of thick subcategories of the stable category of MCM A-modules (obtained by Takahashi, see [11, 6.6]).

We consider the Cauchy problem of the non-linear Schrödinger equation with the modulated dispersion and power type non-linearities in any spatial dimensions. We adapt the Young integral theory developed by Chouk–Gubinelli [7] and multilinear estimates which are based on divisor counting and show the local well-posedness. This generalizes the result by Chouk–Gubinelli [7] in terms of the dimension and the order of the non-linearity.

This article seeks to cast a critical eye on musical modernism through the experiences of its percussionist practitioners. It charts the origins and accepted truisms of percussion ontology as it is understood through the modernist sensibility, and demonstrates how certain modernist assumptions have been inherited by many contemporary practitioners. Some of these individuals’ resulting expressions of grief, anger, and sadness in the wake of modernism's waning are presented, and a reparative reading of modernist percussion that seeks to make the repertory inhabitable and sustaining is instead offered. This practice is illustrated through a feminist and performer-led analysis of Karlheinz Stockhausen's Kontakte (1958–60), for piano, percussion, and tape. It is ultimately argued that performer knowledge and affective attachment is essential to understanding modernism's history and aesthetics, as well as its place in the contemporary moment.

Both mitral annular disjunction and coronary artery anomalies are associated with ventricular arrhythmia, though data on their co-occurrence are limited. We herein present two patients with anomalous aortic origin of a coronary artery and mitral annular disjunction who had ventricular arrhythmia. Mitral annular disjunction should be considered as a potential cause of ventricular arrhythmia when stress tests rule out ischaemia.

A hazard vulnerabilities analysis (HVA) is an exercise used by institutions to identify potential threats and is required for credentialing hospitals in the US. To date, there is no documentation of HVA completion in low/middle income countries (LMIC) in the literature. American physicians working together with local physicians and staff from a major referral hospital in Addis Ababa, Ethiopia conducted an HVA in the LMIC setting. Using the Kaiser HVA template, the tool and exercise were tailored to the needs and resources of the LMIC setting. The exercise prompted rich discussion and facilitated the development of a framework to address local hospital threats. Many threats were considered sub-acute or chronic problems that had potential to acutely worsen, putting hospital operations and patient care in jeopardy and impacting staff. Ongoing threats were addressed creatively by the hospital administration, caregivers, and staff, a testament to the resiliency of the system and those working in it. Nonetheless, the hospital benefited from the HVA framework to improve future preparedness. Conducting an HVA in the LMIC setting is feasible, and this example can serve as a basis for HVA completion by other hospitals in similar settings.

Political science educators have a responsibility to design their programs in a way that incorporates content that involves and engages underserved populations. In recent polls, a significant majority of Generation Z identified as LGBTQ+, representing a percentage that is larger than those who identify as African American or Hispanic (Jones 2024; Public Religion Research Institute 2024). Implementing changes in mainline political science courses (e.g., introduction to American national government, the presidency, and comparative politics) will allow the discipline to better serve LGBTQ+ students. Ample examples involving LGBTQ+-themed content provide instruction in a wide battery of political science courses. Pivoting into a more supportive pedagogy may be a successful strategy for addressing the oncoming “population cliff” (i.e., a projected decline in college enrollment) that will impact the number of students beginning college in the future. Whereas the process will require substantial investment in energy to initiate, an updated approach to teaching political science courses will reap dividends in terms of student interest, engagement with course material, and LGBTQ+ representation in the profession.

Upper extremity rehabilitation robots have become crucial in stroke rehabilitation due to their high durability, repeatability, and task-specific capabilities. A significant challenge in assessing the comfort performance of these robots is accurately calculating the human-robot interaction forces. In this study, a four-degree-of-freedom (4-DOF) upper extremity rehabilitation robot mechanism, kinematically compatible with the human upper limb, is proposed. Based on this mechanism, an algorithm for estimating human-robot interaction forces is developed using Newton-Euler dynamics. A prototype of the proposed robot is constructed, and a series of comparative experiments are carried out to validate the feasibility of the proposed force estimation approach. The results indicate that the proposed method reliably predicts interaction forces with minimal deviation from experimental data, demonstrating its potential for application in upper limb rehabilitation robots. This work provides a foundation for future studies focused on comfort evaluation and optimization of rehabilitation robots, with significant practical implications for improving patient rehabilitation outcomes.

Posthuman understanding of music and bodies as matter highlights otherwise forms of musical embodied learning. In this paper, we focus on an early childhood classroom music event and think diffractively with cognitive and posthuman theories in order to extend our insight into it. Accordingly, we explore cognitive approaches to music and movement, as well as posthuman concepts such as agency, embodiment, affect and desire, (de)territorialisations and assemblages. As music educators, we acknowledge the relationship between music and movement in early childhood, but our posthuman reading of the event enables a more equitable understanding of children’s music learning.

This paper examines the household economics of Tomoko Matsudaira, a Japanese female economist, with a specific focus on the issue of wise consumption within Matsudaira’s expenditure theory. The exploration includes Matsudaira’s definition and criteria for wise consumption, her perspectives on consumer cooperatives guiding wise consumption within the household, her views on the influence of the consumer environment outside the household, and consumer awareness of wise consumption. This paper is the first ever investigation of Matsudaira’s views on wise consumption in English, and it primarily relies on Matsudaira’s debut work, Household Economics (1925a), but also references her later works to discern whether Matsudaira’s perspectives on wise consumption changed or developed over her more than forty years of research in household economics. This paper aims to provide theoretical insights into wise consumption by exploring Matsudaira’s discussions on household economics.

Discussion of several words whose treatment by LSJ is found defective, and a new emendation in Demosthenes 35.17.