Irregular cusps of an orthogonal modular variety are cusps where the lattice for Fourier expansion is strictly smaller than the lattice of translation. The presence of such a cusp affects the study of pluricanonical forms on the modular variety using modular forms. We study toroidal compactification over an irregular cusp, and clarify there the cusp form criterion for the calculation of Kodaira dimension. At the same time, we show that irregular cusps do not arise frequently: besides the cases when the group is neat or contains $-1$, we prove that the stable orthogonal groups of most (but not all) even lattices have no irregular cusp.

This paper presents a broadband circularly polarized (CP) antenna array for millimeter-wave applications, and the antenna array has the advantages of wide impedance bandwidth (IBW), novel CP design, and low profile. The antenna unit consists of a two-layer substrate and two pairs of magnetoelectric dipoles. Stepped microstrip lines coupled by rectangular slits form a feeder network for easy integration. The axial ratio bandwidth (ARBW) is extended because a pair of parasitic patches is loaded and an elliptical perturbation is added. The simulation results show that the antenna has an ARBW of 18.6% (26.4–31.9 GHz) and an IBW of 45.5% (20.6–32.7 GHz), with a gain greater than 7.11 dBic in the IBW. To improve the gain of the antenna, a 2 × 2 antenna array is designed, fabricated, and measured. The measured results show that the array has an ARBW of 16.6% (26.42–31.21 GHz), an IBW of 41.6% (22.28–33.97 GHz), a peak gain of 13.89 dBic in the IBW, the cross-polarization levels in the xoz-plane and yoz-plane are above 20 dB, and a radiation efficiency greater than 89%.

This paper examines how English courts have responded to the contract problems generated by the Covid-19 pandemic and considers what this tells us about future contract law development. In relation to consumers, the case law on pandemic-affected contracts, though limited, indicates that traditional contract doctrine does not necessarily produce beneficial outcomes for consumers. This further diminishes the importance of the common law in the consumer contracting context. In the commercial sector, contracting parties were encouraged by government and other organisations to co-operate with one another and act in good faith during the crisis, but this has not influenced the courts applying contract law in the pandemic aftermath. The emerging case law suggests that contract law has retained its commitment to certainty, freedom of contract and sanctity of contract, notwithstanding the extraordinary circumstances around the outbreak and its unpredictable effects on contracts. The unalloyed application of formal contract law in the post-pandemic case law augments the position of relational norms as extra-contractual in English law, putting the further judicial development of relational contract principles in doubt. The paper concludes that despite the considerable social and economic upheaval caused by the pandemic, its impact on contract law development is likely to be minimal.

The crystal structure of anhydrous Al-MFI (NH4) containing adsorbed Ar has been determined and refined using synchrotron X-ray powder diffraction data taken at 90 K, and optimized using density functional theory techniques. Six highly occupied Ar sites almost completely fill the pore volume of the zeolite. Changing the gas flow from Ar to He at 90 K decreases the Ar occupancies of all six sites, but two decrease more than the others. Warming the sample from 90 to 295 K in Ar flow results in further decreases in site occupancies, but five of the original six sites persist.

The European grapevine moth Lobesia botrana (Denis & Shiffermüller 1776) is an economically important pest of the vine-growing areas worldwide. Chemical insecticides have been used for its control; however, its resistance status is largely unknown in many regions. We monitored the susceptibility of several L. botrana populations from Greece and Turkey. In addition, based on RNAseq transcriptome analysis, we identified and phylogenetically classify the cytochrome P450 genes of L. botrana, as well as analysed target site sequences and looked for the presence of known resistance mutations. Resistance against chlorantraniliprole, alpha-cypermethrin, spinetoram, etofenprox, and acetamiprid was very low (below 2.5-fold in all cases, compared to a reference strain from Greece) in all populations from Greece that were included in the study. However, resistance against indoxacarb (4–30-fold), spinosad (5–59-fold), and deltamethrin (18–30 fold) was detected in the L. botrana populations from Turkey, compared to a reference population from Turkey. De novo transcriptome assembly and manual annotation, and subsequent PCR-based analysis of insecticide target sequences (i.e. voltage-gated sodium channel – VGSC: target of pyrethroids and oxadiazines; nicotinic acetylcholine receptor subunit a6 – nAChR_α6: target of spinosad; ryanodine receptor – RyR: target of diamides; glutamate-gated chloride channel – GluCl: target of avermectins and; acetylcholinesterase – AChE: target of organophosphates) showed the absence of known resistance mutations in all specimens from both countries. Finally, the L. botrana CYPome (116 genes) was manually analysed and phylogenetically characterised, to provide resources for future studies that will aim the analysis of metabolic resistance.

Machine learning-based stock market beta estimators outperform established benchmark models both statistically and economically. Analyzing the predictability of time-varying market betas of U.S. stocks, we document that machine learning-based estimators produce the lowest forecast and hedging errors. They also help to create better market-neutral anomaly strategies and minimum variance portfolios. Among the various techniques, random forests perform the best overall. Model complexity is highly time-varying. Historical stock market betas, turnover, and size are the most important predictors. Compared to linear regressions, allowing for nonlinearity and interactions significantly improves predictive performance.

The early to middle Permian brachiopods from the Tengchong Block in western Yunnan, southwestern China, play important roles in biostratigraphic correlation and paleogeographic inferences of tectonic units on eastern peri-Gondwana. However, detailed taxonomic studies of these brachiopods have been limited. In this paper, we provide the systematic description of three Permian brachiopod assemblages from the Shanmutang section in the northern Tengchong Block, which in ascending order include the Elivina-Etherilosia Assemblage from the top of the Kongshuhe Formation, and the Spiriferella-Spiriferellina Assemblage and the Waagenites-Costiferina Assemblage from the base and lower part, respectively, of the overlying Dadongchang Formation. Based on the biostratigraphic assessment of the brachiopod taxa as well as the age constraints from the associated fusulinid assemblages, the age of the Elivina-Etherilosia Assemblage is considered to be most likely late Sakmarian to early Artinskian, the Spiriferella-Spiriferellina Assemblage probably late Artinskian, and the Waagenites-Costiferina Assemblage late Roadian to early Wordian. A transition from cool-water faunas with Gondwanan affinities to mixed warm-temperate (transitional) faunas with Cathaysian elements is evident for the Artinskian and through the Guadalupian. The climatic transition inferred from the faunal evidence is interpreted to have resulted from the combined effect of Gondwana deglaciation and the northward drift of the peri-Gondwanan blocks (including the Tengchong Block) during the Cisuralian and Guadalupian.

The Chief Officials’ Appearance System (COAS), introduced in 2015, requires government leaders to appear in court and explain their actions. Unlike other post-2014 legal reforms aimed at reducing political influence in administrative litigation, the COAS uniquely actively involves political officials. This approach is based on the belief that increased participation will help officials to gain a better understanding of public concerns and improve administrative litigation quality. However, few studies have examined the system's effectiveness, and existing research relies on anecdotal evidence with limited analysis. To address this gap, we conducted a systematic empirical inquiry using 1,551 administrative litigation cases filed in a Beijing local court and extensive field research in 12 other provinces. Contrary to official expectations, we found the system reproduced the administrative grievances it was tasked with resolving. Moreover, when chief officials appear in court, administrative litigation is characterized by a renewed triad of apathetic state agencies, increasingly agitated plaintiffs and strategically empowered courts.

Political science instructors have started to make use of the “staff ride”—that is, the combined study of a military campaign, structured visits to related sites, and after-action analysis. Our study is the first examination of the potential utility of this pedagogical tool in civilian political science programs. Although the specific knowledge and skills that any given staff ride promotes depend on its content and structure, the potential benefits include four student learning outcomes: (1) staff rides show students how we might draw lessons from the past and apply them to present or future problems; (2) students may derive an enhanced ability to empathize with military and civilian decision makers; (3) staff rides can highlight the normative stakes in politics; and (4) they can foster connections among the participants. This article describes potential benefits of a staff ride, provides detailed instructional models based on the Battle of Gettysburg and the Tet Offensive, and considers ways to replicate these experiences in more accessible formats.

Email is a major means of communication in healthcare and it facilitates the fast delivery of messages and information. But email's ubiquity has brought challenges. It has changed the way we get things done, and working days can be dictated by the receipt and reply of multiple email messages, which drown out other priorities. This article examines email's advantages and disadvantages and, with a focus on healthcare professionals, examines what individuals and organisations can do to ensure email works for us, rather than – as can seem the case – the other way around.

The colonial reason at the heart of psychoanalysis is increasingly acknowledged, but literature scholars still work with it as an instrument for decolonizing. This essay examines thepossibilities of postcolonial literature itself as a source of epistemological intervention into psychoanalysis.

In this article, I argue that some irremediably depressed patients have the decision-making capacity to consent to medical treatment even when they want to die. These patients are said to have deficits in appreciative capacity because they lack insight into their condition. I argue that some patients have insight if they can cognize and articulate a range of future possibilities regarding their health. The argument requires a phenomenological lens. Phenomenology captures something fundamental about depression, such as temporal experience, which is needed for a more thorough assessment of capacity for medical assistance in dying (MAiD).