The origin of modern financial economics can be traced to early discounted expected value solutions for the price of life annuities. In contrast to the single life annuity valuations attributed to Jan de Witt and Edmond Halley, the computational complexity of joint life annuity valuation posed difficulties. Following a brief review of various joint life annuity specifications, a history of joint life annuity issuance and valuation in northern Europe from the thirteenth to the mid-eighteenth centuries is provided. With this background, the 1671 correspondence from de Witt to Jan Hudde on possible methods for valuing joint life annuities is detailed. These methods are contrasted with the geometric method described in Halley (1693), providing impetus for examination of the analytical approximations developed by Abraham de Moivre and Thomas Simpson.

We give a conditional bound for the average analytic rank of elliptic curves over an arbitrary number field. In particular, under the assumptions that all elliptic curves over a number field K are modular and have L-functions which satisfy the Generalized Riemann Hypothesis, we show that the average analytic rank of isomorphism classes of elliptic curves over K is bounded above by $(9\deg (K)+1)/2$, when ordered by naive height. A key ingredient in the proof is giving asymptotics for the number of elliptic curves over an arbitrary number field with a prescribed local condition; these results are obtained by proving general results for counting points of bounded height on weighted projective stacks with a prescribed local condition, which may be of independent interest.

The 2175Å bump is a prominent absorption feature at ultraviolet (UV) wavelengths in dust extinction and attenuation curves. Understanding the relative strength of this feature is important for making accurate dust corrections at both low- and high-redshift. This feature is postulated to arise from polycyclic aromatic hydrocarbon (PAH) dust grains; however, the carrier has not been definitively established. We present results on the correlation between the 2175Å feature and PAH abundances in a spatially-resolved manner for 15 local galaxies in the PHANGS-JWST survey that have NUV and mid-IR imaging data from Swift/UVOT and JWST/MIRI, respectively. We find a moderate positive correlation between the 2175Å feature strength and PAH abundance (Spearman’s coefficient, $0.3 \lesssim \rho \lesssim 0.5$), albeit with large intrinsic scatter. However, most of this trend can be attributed to a stronger negative correlation of both quantities with SFR surface density and specific-SFR (proxies of ionising radiation; $\rho\sim-0.6$). The latter trends are consistent with previous findings that both the 2175Å carrier and PAHs are small grains that are easily destroyed by UV photons, although the proxy for PAH abundance (based on photometry) could also be influenced by dust heating. When controlling for SFR surface density, we find weaker correlations between the 2175Å feature and PAH abundances ($\rho \lesssim 0.3$), disfavouring a direct link. However, analyses based on spectroscopic (instead of photometric) measurements of the 2175Å feature and PAH features are required to verify our findings. No significant trends with gas-phase metallicity or galactocentric radii are found for the 2175Å feature and PAHs; however, the metallicity range of our sample is limited ($8.40 \lt 12+\log[\mathrm{O/H}] \lt 8.65$). We provide prescriptions for the strength of the 2175Å feature and PAHs in local massive (metal-rich) galaxies with SFR surface density and specific-SFR; however, the former should be used with caution due to the fact that bump strengths measured from Swift/UVOT are expected to be underestimated.

Due to severe shortages of volunteer labor for repairing the damage immediately after World War II, the provisional Austrian federal government decided in September 1945 to make work compulsory, primarily for former National Socialists. As a result, these individuals were forced to perform a wide variety of reconstruction work over a period of two years. These workers subsequently sued the Republic of Austria for compensation payments and received a favorable ruling from the Supreme Court in 1951. The work of these conscripted former National Socialists was increasingly forgotten as the years went on, and, therefore, toward the end of the twentieth century, a form of “Trümmerfrauen” myth emerged in Austria. According to this myth, the immediate repair of war damage was mainly carried out by volunteer women. This article examines for the first time the people that worked in the removal of rubble in 1945 and 1946, how they described their work afterward, and how this compulsory labor gave rise to a positive reconstruction myth of voluntary women’s work.

The influx of foreign capital into cities in developing countries creates new labor demands, triggering significant internal migration as workers move for opportunities. But this mobilization creates a management problem for local governments. How do local officials manage competing interests in developing their labor market while preventing governance problems from excessive demand on public resources? Using the highly institutionalized case of China, I argue that local governments encourage long-term migration of “desirable” migrants by integrating them into social services while keeping others out. Variation in locally invested FDI skill dependence drives variation in inclusivity towards internal migrants. Policies that facilitate the integration of internal migrants into local urban welfare systems correlate with investment in firms with greater dependence on high-skilled workers, especially when investment flows to firms established more than one year previously. These trends are strongest in eastern municipalities where market forces play a larger role in local development policies.

This article examines the neglected war crimes trials of Holocaust perpetrators that took place at the People's Tribunal in early postwar Romania, focusing especially on the first trial (the “Macici group”). The article shows that in spite of the political interferences by the new pro-communist regime and the USSR, the Macici group trial in particular, and the first war crimes trials in general, were not Stalinist show trials or fake trials and they sentenced real war criminals and accurately captured Romania's participation in the Holocaust. Unlike the Antonescu group trial – that indicted the former pro-Nazi dictator and his closest collaborators – the first war crimes trial was not a typical political trial. In general, it respected the rule of law of the era. Resembling the cases of other trials of Nazi perpetrators and collaborators in postwar Europe, the Romanian perpetrators invoked superior orders as their main line of defense. In spite of the public perception and the communist regime's propaganda, the primary sources show that the People's Tribunal proved rather lenient and inefficient. Additionally, these trials had an important political-social role in postwar Romania and helped the communist regime discredit political adversaries, purge the judiciary, gain legitimacy, and increase its control of local society.

This paper presents an algorithm for simulating multiple equilibria in otherwise-linear dynamic models with occasionally-binding constraints. Our algorithm extends the guess-and-verify approach of Guerrieri and Iacoviello (2015) to detect and simulate multiple perfect foresight equilibria, and allows arbitrary “news shocks” up to a finite horizon. When there are multiple equilibria, we show how to compute expected paths using a “prior probabilities” approach and we provide an approach for running stochastic simulations with switching between equilibria on the simulated path. A policy application studies a New Keynesian model with a zero lower bound on nominal interest rates and multiple equilibria, including a “bad” solution based on self-fulfilling pessimistic expectations. A price-level targeting rule does not always eliminate the bad solution, but it shrinks the indeterminacy region substantially and improves stabilization and welfare relative to more conventional interest rate rules or forward guidance.

Intermittent energy restricted diets are used amongst women with overweight and obesity and a healthy weight. For those with overweight and obesity weight control is typically achieved through daily energy restriction (DER) which has reduced adherence and attenuated metabolic benefits over time. Several intermittent energy restriction (IER) regimens have been developed aiming to promote maintained weight loss and additional weight independent metabolic benefits including the 5:2 diet, alternate day fasting (ADF) and time restricted eating (TRE). This review summarises the potential benefits or harms of these regimens for managing women’s health. 5:2 and ADF diets have equivalent long term (≥6-month) adherence, weight loss and metabolic benefits to DER. Current limited evidence suggests IER is a safe weight loss intervention for women which does not affect reproductive or bone health, increase eating disorders or disturb sleep. Adherence and weight loss with both IER and DER are lower amongst younger women compared to older women and men. Weight loss with ADF and TRE have respectively improved symptoms of polycystic ovarian syndrome and premenstrual syndrome but there is no evidence of weight independent effects of IER on these conditions. There is little evidence of the benefits and/or harms of IER amongst healthy weight women in whom there is a greater potential for adverse effects on reproductive and bone health, fat free mass, eating disorders and sleep. Further research benefits of IER for weight control and metabolic health as well as harms is required.

Navigating a career beyond the traditional academic path can be both exciting and daunting for humanities professionals, often leaving them eager to explore new opportunities but unsure where to start. This article addresses five common challenges faced by those venturing outside academia and offers practical strategies for overcoming these obstacles. By tackling key issues such as translating academic expertise into broader contexts, expanding skill perceptions, and building professional networks, it provides actionable advice to help humanities graduates thrive in diverse career environments. Whether you are struggling with imposter syndrome or looking to leverage your unique skills, this guide aims to empower you to unlock new career possibilities and achieve success beyond academia.

We draw on a comprehensive dataset of metadata about journal articles substantively related to gender and politics published in 37 political science journals through the end of 2023, including Politics & Gender, to characterize and compare trends over time and the most prominent topics addressed by these journals. We show that the volume of work published by Politics & Gender has increased over time, has become increasingly quantitative in nature, and tends to focus on questions related to women running for political office and the nature of women’s political representation. These patterns closely reflect broader tendencies in the gender and politics research published by general-interest political science journals. Other journals dedicated to research on gender and politics tend to publish more qualitative research on topics including care work, the diffusion of equality norms, and conflict.

Illegal hunting of migratory birds across the Mediterranean region is a serious international conservation issue with population-level impacts. We analysed photographs posted on social media platforms to assess the bird species illegally targeted in Lebanon. During 2011–2023 we reviewed 1,844 photographs publicly posted by poachers on Facebook and Instagram. In these images we identified 212 bird species, of which 94% are legally protected. Many are species of conservation concern, with 19 listed as threatened or Near Threatened on the IUCN Red List and 33% experiencing population declines in Europe. The five bird species with the most individuals illegally killed were the barn swallow Hirundo rustica, blackcap Sylvia atricapilla, European bee-eater Merops apiaster, Eurasian golden oriole Oriolus oriolus and ortolan bunting Emberiza hortulana. Raptors and other large soaring birds were particularly prevalent, with 35 species of raptor (particularly the European honey-buzzard Pernis apivorus, Eurasian sparrowhawk Accipiter nisus, common kestrel Falco tinnunculus, short-toed snake-eagle Circaetus gallicus and Levant sparrowhawk Accipiter brevipes) as well as storks, pelicans and cranes. Protected mammals were also posted as trophies, including the Near Threatened striped hyaena Hyaena hyaena. Poachers were present in 44% of photographs and were clearly identifiable 89% of the time, showing little concern about posting illegal activities on publicly accessible social media platforms. Our study is the first to use social media as a tool for assessing illegal hunting activities in Lebanon. We discuss both the use and limitations of this approach, as well as the ways in which social media can be utilized by law enforcement, to promote legal hunting or hunting alternatives and improve conservation education.

This article studies public amusement in turn-of-the-twentieth-century Gothenburg, Sweden, and argues that historians of urban and popular culture need to take the hybrid character of modernity more seriously. The case of the small peripheral port city of Gothenburg, more clearly than large metropoles or rapidly growing urban centres, showcases how turn-of-the-century urban culture was negotiated through the confrontation of traditional and innovative forms of popular amusement. Hence, insights from Gothenburg can prompt a more critical, nuanced view of ‘urban modernity’, marked not only by the emergence of commercial mass entertainment but also by the resilience of itinerant performers, for example. The article draws on different types of source material that from different perspectives embrace the co-constitutive character of practices and representations of pleasure through which people in Gothenburg negotiated urban change.

Bob Morris first influenced social historians in Hungary through personal contacts, but these contacts were later strengthened by institutional networks. The post-transition historiography of Eastern Europe found concepts in Morris’ work that dovetailed with the rise of interest in researching the history of the public sphere and the understanding of structural changes in society. However, because of the different historical traditions of the region, these concepts could not be easily transposed. Nevertheless, the work of Bob Morris is often cited in research on modern urban forms of associational life. His work on urban history is systematically being introduced to younger generations through one of the principal handbooks for teaching social history at the university level. Most importantly, Bob Morris’ approach to research and his enthusiasm for conversation with scholars at all stages of their careers will long be remembered, and his work guides urban historians across the continent.