This paper addresses the persistent ambiguity in the evaluation of legitimate expectations within investor–state dispute settlement (ISDS), critically examining this through Fuller’s interactional theory. Traditional approaches fail to adequately capture the evolving socio-economic contexts and the dynamic nature of investor–state interactions. This paper introduces a novel analytical model that integrates Fuller’s principles, emphasizing continuous dialogue and mutual understanding between investors and host states. By shifting focus from static legal interpretations to interaction-based assessments, this framework provides a more equitable and context-sensitive method for adjudicating legitimate expectations. The research offers significant academic contributions by redefining the foundational principles of legitimate expectations in ISDS, highlighting the necessity of procedural fairness and shared understanding. Practically, it proposes actionable guidelines for tribunals and policymakers to enhance the legitimacy and predictability of investment arbitration. This includes revising bilateral investment treaties (BITs) for explicit policy disclosure and fostering ongoing communication between parties. The adoption of Fuller’s interactional theory in ISDS not only clarifies legal ambiguities but also promotes a more cooperative and transparent investment climate, ultimately benefiting both investors and host states.

This article examines the death of Colin Roach in Stoke Newington Police Station, Hackney, in 1983, and explores the emotional politics of the campaigns that followed his death. These campaigns were focused on both determining the circumstances of Roach's death and highlighting tensions between the police and the Black community of Hackney. Using hitherto unpublished archival sources, local newspapers, and visual sources, the article documents racial politics in Hackney in the early 1980s and examines the relationship between race and policing at that time. The article argues that the experience and expression of grief and anger were critical to understanding the political problem of race and policing in London in the 1980s, to forming and mobilizing political communities, and to interrogating the power of the state. The article also argues that a critical element of the emotional economy around race in Hackney in 1983 was the indifference and lack of empathy of the police in Stoke Newington to ethnic minority communities. This lack of empathy not only illustrated the problem of race within the police force at this time but further fueled local campaigns to make the police accountable. This links the Roach case to a later turning point—the 1999 Macpherson inquiry into the murder of Stephen Lawrence, which characterized the Metropolitan Police as institutionally racist.

Emotion recognition, the ability to interpret others’ emotional expressions and infer mental states, is crucial for caregiver–child interactions. The ability to accurately recognize infant emotions may facilitate attuned and responsive caregiving. Across two studies, we validate a novel measure to assess the recognition of infants’ emotions (Reading the Mind in Infant Eyes Test [RMIET]) and investigate how this ability relates to observed caregiving. Study 1 examined item-level performance in 55 infant mental health experts and 100 undergraduate students. Study 2 examined RMIET scores in 133 pregnant people and their later caregiving when their children were 18-month-old. In Study 1, agreement was high among both mental health experts (ICC = .82) and undergraduate students (ICC = .93), providing evidence of the content validity of the RMIET. In Study 2, scores assessing the recognition of adult and infant emotions were positively correlated (r = .22, p = .012). After accounting for covariates, RMIET scores were statistically significantly associated with higher sensitivity and warmth and lower negative regard. Taken together, these studies provide preliminary evidence of content and predictive validity for the RMIET.

Classroom discussions of current events and controversial topics can devolve into unproductive and highly charged debates. This article describes an in-class exercise used to foster respect during difficult conversations by encouraging students to design rules for discussions and guidelines to create a safe space for dialogue. This activity relies on three underlying principles: trust, empowerment, and empathy. These principles can be integrated into a broader pedagogical approach that emphasizes a democratic classroom and active learning. Student feedback shows that the intervention can be useful for promoting respectful and engaging discussions during moments of tension and polarization. However, an emphasis on civility also may undermine the diversity of opinions and require respecting students’ silences.

This paper proposes a LiDAR-inertial odometry (LIO) based on the dynamic voxel merging and smoothing method, DV-LIO. In this approach, a local map management mechanism based on feature distribution is introduced to unify the features of similar adjacent voxels through dynamic merging and segmentation, thereby improving the perceptual consistency of environmental features. Moreover, a novel noise detector that performs noise detection and incremental filtering by evaluating the consistency of voxel features is designed to further reduce local map noise and improve mapping accuracy while ensuring real-time algorithm performance. Meanwhile, to ensure the computational efficiency of the LIO system, a point cache is set for each voxel, which allows the voxel to be updated incrementally and intermittently. The proposed method is extensively evaluated on datasets gathered over various environments, including campus, park, and unstructured gardens.

We describe a trisomy 21 patient with postnatal diagnosis of atrioventricular septal defect with isolated ventricular component who had a complicated post-surgical course following complete repair. Clinical outcomes included moderate-severe residual atrioventricular valve regurgitation needing re-operation, complete heart block leading to pacemaker insertion, seizures secondary to subdural haemorrhages, and chylothorax. We describe the surgical considerations specific to this cardiac morphology.

A classical result of Reinhold Baer states that a group G = XN, which is the product of two normal supersoluble subgroups X and N, is supersoluble if and only if Gʹ is nilpotent. This result has been weakened in [6] for a finite group G: in fact, we do not need that both X and N are normal, but only that N is normal and X permutes with every maximal subgroup of each Sylow subgroup of N.

In our paper, we improve the result mentioned above by showing that we only need X to permute with the maximal subgroups of the non-cyclic Sylow subgroups of N. Also, we extend this result (and several others) to relevant classes of infinite groups.

The central idea behind our results stems from grasping the key aspects of what happens in [6]. It turns out that tensor products play a very crucial role, and it is precisely this shift of perspective that makes it possible not only to improve those results but also extend them to infinite groups.

Gaussian random polytopes have received a lot of attention, especially in the case where the dimension is fixed and the number of points goes to infinity. Our focus is on the less-studied case where the dimension goes to infinity and the number of points is proportional to the dimension d. We study several natural quantities associated with Gaussian random polytopes in this setting. First, we show that the expected number of facets is equal to $C(\alpha)^{d+o(d)}$, where $C(\alpha)$ is some constant which depends on the constant of proportionality $\alpha$. We also extend this result to the expected number of k-facets. We then consider the more difficult problem of the asymptotics of the expected number of pairs of estranged facets of a Gaussian random polytope. When the number of points is 2d, we determine the constant C such that the expected number of pairs of estranged facets is equal to $C^{d+o(d)}$.

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.