We study the notion of inhomogeneous Poissonian pair correlations, proving several properties that show similarities and differences to its homogeneous counterpart. In particular, we show that sequences with inhomogeneous Poissonian pair correlations need not be uniformly distributed, contrary to what was till recently believed.

Although scholars agree that Fichte’s earliest political writings are Kantian, they contain a theory of individual emancipation through a culture of perfection that is foreign to Kant’s Doctrine of Right. I argue that Fichte based his theory on Kant’s moral duty and therefore derived the conclusion that individual morality should be the constitution’s aim. As a result, principles of right are not limited to securing relations of external freedom among equals but concerned with creating a society of autonomous individuals. Reaching that end goes through emancipation both from the oppression of sensibility over rationality and from the false consciousness that upholds voluntary servitude to unjust regimes. As an alternative Kantian path, Fichte provides philosophical grounding for movements seeking political emancipation through cultural awakening.

We calculate the orbifold Euler characteristics of all the degree d fine universal compactified Jacobians over the moduli space of stable curves of genus g with n marked points, as defined by Pagani and Tommasi. We show that this orbifold Euler characteristic agrees with the Euler characteristic of $\overline{\mathcal{M}}_{0, 2g+n}$ up to a combinatorial factor, and in particular, is independent of the degree d and the choice of degree d fine compactified universal Jacobian.

This article examines the use of heritage in the context of populism. It is interested in how populists’ division of society in an us-versus-them dichotomy and exclusionary politics intersect with the appeal to the past and the weaponised politicisation of history. More specifically, the analysis focuses on far-right populism’s selective embrace of nostalgia. To this end, we examine heritage politics under the presidency of Jair Bolsonaro, a far-right populist who ruled Brazil between 2019 and 2022. By surveying government speeches and policies, we developed a typology of the uses of heritage as a form of political power: (1) Heritage as historical revisionism, which has mainstreamed distorted and/or inaccurate history in the official narrative; (2) Heritage as identity repositioning, which has redefined core aspects of Brazil’s identity based on particular understandings of history and tradition; and (3) Heritage as alliance building, which has brought Brazil closer to some countries based on shared narratives and legacies. We find that the selective construction heritage has become an indissociable element of Jair Bolsonaro policies’ quest for domestic and international legitimacy.

In the “Apology for Raymond Sebond” Michel de Montaigne aims to upend human arrogance about our superiority over other animals by enumerating the many wonders of the nonhuman animal world. We see birds building intricate nests; spiders thickening and slackening their webs with an engineer’s precision; ants and bees organizing themselves into complicated societies; and dogs making reasoned judgments about the likely location of their prey. Although we may be inclined to dismiss these behaviors as mere instinct, Montaigne argues that it is presumptuous “to judge that the beasts do by natural and obligatory instinct the same things that we do by our choice and cleverness.”1 And even if other creatures do act with less conscious design than we do, he asks, does that make their actions any less wondrous?

While from an instrumental perspective stakeholder relations can promote sustained competitive advantage, normative arguments underscore the importance of morally informed principles, especially when relational strategies have uncertain future outcomes and are prone to imitation. This study investigates how such instrumental and normative views can be complementary based on the case study of Natura, a cosmetics company procuring natural inputs from the Amazon rainforest via supplier relations that are open to multiple parties, including competitors. The research shows that Natura developed and reinforced a morally informed normative core specifying how the company and its managers should act. This resulted in a long-term commitment to the open relational strategy, especially when future outcomes were largely uncertain, which in turn promoted emergent instrumental gains via deepened relational attachments and substantive stakeholder engagement. Importantly, the company’s controlling shareholders strongly influenced the normative core, thus underscoring the importance of identifying key shareholders and their values.

We show that productivity at both the firm and employee (i.e., analyst and inventor) level temporarily declines upon announcements of takeover rumors that do not materialize. Such speculative news may hurt productivity because uncertainty and the threat of job loss cause anxiety, distraction, and reduced commitment among employees and managers. Consistently, we observe a more pronounced productivity dip for rumored targets and when the likelihood of job loss is higher. Firm performance mirrors these results. We find no indication of reverse causality. The evidence fosters our understanding of potential real effects of speculative financial news and the costs of takeover threats.

Twins have been popular figures in many fictional works. A review of two well-known twin-based series, and why they fascinate, is presented. This summary is followed by reviews of twinning in low-income countries, oxytocin administration during twin pregnancies, male-female twins and maternal risk of preeclampsia, and the loss of a twin from the controversial 1960s New York City twin study. The final part of this column covers human interest stories involving twins, specifically a monozygotic quadruplet set conceived naturally, the twins born to Cleopatra and Mark Antony, a star basketball player with a twin brother, a twin stabbed at a track meet, and the revelation of another twin hostage held in Gaza.

Labour mobility has garnered considerable attention within the realm of international relations, prompting economic powers such as New Zealand to seek answers for workforce shortages. Industries dependent on physical labour, often entailing exposure to hazardous substances, face pronounced challenges in attracting workers. In this article, we will focus on three crucial elements of the Hazardous Substances and New Organisms Act 1996: ensuring the protection of the Person Conducting Business Undertaking (PCBU), safeguarding Indigenous iTaukei workers, and preserving the environment under the Recognised Seasonal Employer (RSE) scheme. Employing the 3D veivosaki as a culturally sensitive data collection method, the research strategically gained access to iTaukei workers in the South Island of New Zealand (Central Otago and Oamaru, North Otago) where a recent influx of RSE workers has settled. A total of one hundred iTaukei individuals voluntarily participated in the survey – fifty from each location. The research finds that most of the workers do not understand their rights on their access to protective protection equipment. This report presents a detailed exposition of their responses to the survey.

This article examines the 1964 interim constitutions of Egypt, Iraq, and Syria as markers of a two-decade-long shift in Arab constitutional design—moving from individual liberal rights toward a new regional social contract centered on social rights. The vision of a progressive society rested on two principles of collective welfare: solidarity—expressed through constitutional commitments to collective well-being—and social justice, which aimed to ensure equality and better living standards for all. Contrary to common interpretations, these documents were not simply authoritarian bargains or tools for consolidating power. Rather, the interim constitutions were social bargains that reflected legislative social engineering during decolonization and guided both citizens and the state in building a new society. Despite the intense regional rivalries, these constitutions reflected a shared commitment to socioeconomic transformation that transcended political divides. The analysis of these constitutions shows that the difficulties in their execution extended beyond future limitations of political will or economic resources. Rather, they contained inherent legal and ideological tensions about the structure and direction of the progressive society—particularly in their approach to fundamental questions of social organization. These tensions emerged in the complex relationship between family and individual rights, the delicate balance between private and collective ownership, and the role of state patriarchy in providing social welfare.

This study aimed to establish normal reference ranges of combined cardiac output (CCO) and umbilical venous flow volume (UVFV) in twin fetuses at 20 to 28 weeks of gestation and to evaluate the differences between monochorionic and dichorionic twins. CCO and UVFV were prospectively measured by ultrasound at two centers. The following exclusion criteria were applied: age <18 years or >45 years, first hospital visit at >16 weeks of gestation, monochorionic monoamniotic twin pregnancy, fetal structural or chromosomal abnormality, fetal growth restriction, twin-twin transfusion syndrome, twin anemia polycythemia sequence, and severe hypertension or renal disease were excluded. The period was divided into three groups: 20–22 weeks of gestation, 23–25 weeks of gestation, and 26–28 weeks of gestation. The CCO and UVFV were measured at least once during each period. CCO and UVFV were collected from 274 and 269 fetuses and were measured 412 and 424 times, respectively. UVFV and CCO levels increased as gestation progressed. The weight-corrected UVFV (UVFV/kg) and CCO (CCO/kg) remained stable. UVFV and CCO did not differ between monochorionic and dichorionic twin fetuses. The mean ± SD of UVFV/kg and CCO/kg were determined as 127.8 ± 31.8 and 439.4 ± 80.1 mL/kg/min, respectively. The UVFV-to-CCO ratio also remained stable from 20 to 28 weeks of gestation, ranging from 27.7% to 31.8%. The values and ranges of UVFV/kg and mean CCO/kg in twins were similar to those in singletons.

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.