A simple probabilistic argument shows that every r-uniform hypergraph with m edges contains an r-partite subhypergraph with at least $({r!}/{r^r})m$ edges. The celebrated result of Edwards states that in the case of graphs, that is $r=2$, the resulting bound $m/2$ can be improved to $m/2+\Omega(m^{1/2})$, and this is sharp. We prove that if $r\geq 3$, then there is an r-partite subhypergraph with at least $({r!}/{r^r}) m+m^{3/5-o(1)}$ edges. Moreover, if the hypergraph is linear, this can be improved to $({r!}/{r^r}) m+m^{3/4-o(1)}$, which is tight up to the o(1) term. These improve results of Conlon, Fox, Kwan and Sudakov. Our proof is based on a combination of probabilistic, combinatorial, and linear algebraic techniques, and semidefinite programming.

A key part of our argument is relating the energy $\mathcal{E}(G)$ of a graph G (i.e. the sum of absolute values of eigenvalues of the adjacency matrix) to its maximum cut. We prove that every m edge multigraph G has a cut of size at least $m/2+\Omega({\mathcal{E}(G)}/{\log m})$, which might be of independent interest.

Despite being the most prevalent personality disorder, borderline personality disorder remains a diagnosis with many unanswered questions, particularly concerning pharmacological management. Although many clinical practice guidelines suggest not prescribing medication unless there are significant clinical comorbidities, it is one of the psychiatric diagnoses with the highest rates of polypharmacy. This commentary on a BJPsych Advances article aims to raise clinical questions regarding the voids of knowledge and the appropriateness of medicating and, perhaps, overmedicating in this particular group.

Sesquizygotic twinning (SZT) is one of the rarest events that can occur in multiple pregnancies. It has only been reported twice to date. Studies indicate that sesquizygotic twins result from the splitting of a chimeric embryo at an early stage. Theories and studies suggest that SZT represents a third unique twinning mechanism that is different from dizygotic and monozygotic twinning; however, the unique features of SZT have nothing to do with the twinning mechanism. Instead, it resembles more of an atypical monozygotic twinning form according to the twinning mechanism.

Orbit separation dimension ($\mathrm {OSD}$), previously introduced as amorphic complexity, is a powerful complexity measure for topological dynamical systems with pure-point spectrum. Here, we develop methods and tools for it that allow a systematic application to translation dynamical systems of tiling spaces that are generated by primitive inflation rules. These systems share many nice properties that permit the explicit computation of the $\mathrm {OSD}$, thus providing a rich class of examples with non-trivial $\mathrm {OSD}$.

A 3-year-old girl with a large ductus arteriosus had increased pulmonary vascular resistance at cardiac catheterisation. Test occlusion of the ductus arteriosus with a Nit-Occlud PDA-R device and hyperoxia decreased the pulmonary arterial pressure to < 50% of systemic level. The ductus was closed with the same device. Two years later, an echocardiogram showed normal pulmonary arterial pressure.

This theoretical and empirical study describes and explains the patterns of changes in domestic illicit trade and related transnational illicit flows of goods, services and money during the extreme social crises based on the case of the war in Ukraine. Depending on the legal status of the civil circulation of items, illicit trade is categorized into two groups: illicit (criminal) trade outside the economic sphere; and illicit (illegal) trade within the economic sphere. Typical destructive practices and their peculiarities during the war are considered in each group of illicit trade with the use of quantitative and qualitative methods. In terms of the dichotomy “war as a cause and consequence of crime”, this article addresses significant transformations in established criminal activities outside the official economy, such as drug trafficking and human trafficking, while also highlighting newly emerging crimes, specifically the illegal movement of conscripts across national borders. Furthermore, the article explores illegal trade within the economy, focusing on the trade in excisable goods and the new growing issue of abuse of humanitarian aid. The authors discuss the main deficiencies in adequate counteraction related to both war circumstances and systematic problems of state institutions, in particular, the criminal justice system.

In this work, a compact active integrated antenna based on a highly compatible antenna-in-package (AiP) solution is proposed. It consists of two sections, namely, a cover plate integrated with an antenna and a package backplane that carries a GaN power amplifier (PA) die. The proposed AiP solution not only provides efficient interconnection between the antenna and the GaN PA die while providing physical shielding, but also provides impedance compensation for the die to improve the matching performance. Besides, a plated through hole array is designed inside the package backplane to significantly improve heat dissipation performance. The proposed AiP solution is compatible with radio frequency integrated circuit (RFIC) dies with different pin arrangements. Two prototypes are fabricated and measured for validation. The first prototype is the active integrated antenna based on the GaN PA, which shows an impedance bandwidth of 25.7–28.7 GHz, a peak gain of 31 dBi, and a dimension of 8 mm × 8 mm × 1.7 mm. Another prototype is based on a GaN front-end module (FEM) die integrating the PA and low noise amplifier, which demonstrates better EVM and ACPR than the conventional design with separate antenna and FEM.

This article examines India’s energy transition agenda, which the central government drives to reduce the impact of climate change through the development of renewable energy. It presents a case study of the ‘Oran Land’ in the Thar desert in India, which is affected by the country’s energy transition agenda. It further highlights issues relating to human rights infringement linked to corporations undertaking the transition and operating in the ‘Orans’—a community-protected land. The article concludes with discussions on legislative developments in India and global best practices that seek to mainstream human rights into business practice and further strengthen compliance with the United Nations Guiding Principles on Business and Human Rights.

This paper describes three collections of vertebrate fossils from the Lower Cretaceous Newark Canyon Formation of Eureka County, Nevada, made by the United States Geological Survey in 1961. Briefly mentioned in the prior literature, these specimens have gone unstudied for more than sixty years, until their recent transfer to the Smithsonian Institution. Re-examination of the materials reveals the first records of neoceratopsian and tyrannosauroid dinosaurs in the Newark Canyon Formation. In addition to augmenting the known vertebrate fauna from this poorly studied stratum, these occurrences provide important new data on otherwise rare taxa during a time of major faunal transition in North America.

Let G be a finite group and p be a prime. We prove that if G has three codegrees, then G is an M-group. We prove for some prime p that if the degree of every nonlinear irreducible Brauer character of G is a prime, then for every normal subgroup N of G, either $G/N$ or N is an $M_p$-group.

Towards the end of his book, African Philosophical Adventures, John Murungi laments the injurious impact of Western epistemological hegemony on the humanity and well-being of non-Western peoples and societies, especially Africans. He describes the ensuing situation as a crisis about what it means to be called human or to have the right to exist as human in the twenty-first century: Today, human rights are in a state of crisis and this crisis is fundamentally the crisis of being human. … [The] planetary mode of being has fallen under the tyrannical regime of Euro-Western anthropology. The voice of African anthropology, as is the case with other non-Euro-Western voices of anthropology, remains muted. Africans, particularly, have been reduced to beggars in matters of hermeneutics and understanding of being human. They have been compelled and are even today compelled to look up to Euro-West for assistance in self-understanding. In matters that pertain to self-understanding they look for foreign aid. …Having been voided of what they [Africans] are and of the ability for self-understanding they are compelled to look outside themselves to make sense of themselves. (142–43)

“My first contact with Rod Feldmann was his voicemail message: ‘An incredible set of circumstances makes it impossible for me to come to the phone right now. Please leave a message and I will get back to you as soon as possible.’ I was considering coming to Kent for graduate school and I thought, ‘Wow, this guy is either really important or really arrogant.’ I was right and wrong. He was never arrogant, but always important, and eventually of utmost importance to me.

The Paris Agreement’s commitment to achieve net-zero greenhouse gas emissions by 2050 has resulted in an uptick in environmental laws and regulations. However, such state conduct could implicate other legal obligations and norms, including international investment law and international human rights law. The conversation about human rights, net-zero and investment treaties, including arbitration cases and arbitral awards under the treaties, is in its relative infancy. This article examines how investment treaties are equipped to reconcile relevant norms with a particular focus on corporate codes and policies that pronounce broad commitments to protecting human rights and the environment. It establishes certain principles to guide parties and arbitral tribunals as to the codes while recognizing the inevitable challenges they will face.