Ice-sheet volume during Marine Isotope Stage (MIS) 3 (57–29 ka) is controversial. Several recent studies have proposed that the Greenland Ice Sheet was smaller during MIS 3 than it is today based on radiocarbon ages of molluscan bivalve shells reworked into sedimentary deposits adjacent to the present ice margin. Such a result contrasts with available records of MIS 3 climate, ice volume, and sea level. We revisited a site previously interpreted as containing evidence for smaller than present ice during MIS 3. We collected marine bivalve shells and combined progressive acid dissolution in preparation for radiocarbon dating with new-generation amino acid analysis, which focuses on aspartic acid racemization. Our results suggest that contamination by young carbon yields finite radiocarbon ages despite bivalve shells likely dating to MIS 5e (∼125 ka) or even older. This result should be further tested, which could be accomplished with additional studies of this kind in combination with ice-sheet modeling and additional paleoclimate data generated from adjacent seas.

It is a theorem due to F. Haglund and D. Wise that reflection groups (aka Coxeter groups) virtually embed into right-angled reflection groups (aka right-angled Coxeter groups). In this article, we generalize this observation to rotation groups, which can be thought of as a common generalization of Coxeter groups and graph products of groups. More precisely, we prove that rotation groups (aka periagroups) virtually embed into right-angled rotation groups (aka graph products of groups).

We study optimal dimensionless inequalities

\begin{equation*} \|f\|_{\textrm{U}^k} \leqslant \|f\|_{\ell^{p_{k,n}}} \end{equation*}

that hold for all functions $f\colon\mathbb{Z}^d\to\mathbb{C}$ supported in $\{0,1,\ldots,n-1\}^d$ and estimates

\begin{equation*} \|\mathbb{1}_A\|_{\textrm{U}^k}^{2^k}\leqslant |A|^{t_{k,n}} \end{equation*}

that hold for all subsets A of the same discrete cubes. A general theory, analogous to the work of de Dios Pont, Greenfeld, Ivanisvili, and Madrid, is developed to show that the critical exponents are related by $p_{k,n} t_{k,n} = 2^k$. This is used to prove the three main results of the article:

• • an explicit formula for $t_{k,2}$, which generalizes a theorem by Kane and Tao,

• • two-sided asymptotic estimates for $t_{k,n}$ as $n\to\infty$ for a fixed $k\geqslant2$, which generalize a theorem by Shao, and

• • a precise asymptotic formula for $t_{k,n}$ as $k\to\infty$ for a fixed $n\geqslant2$.

We develop explicit bounds for the tail of the distribution of the all-time supremum of a random walk with negative drift, where the increments have a truncated heavy-tailed distribution. As an application, we consider a ruin problem in the presence of reinsurance.

This is the first report of Jurassic brachyurans and anomurans from the territory of Russia. These findings come from the Upper Jurassic (Oxfordian) reef limestones of the North Caucasus. The anomuran Gastrosacus wetzleri von Meyer, 1851 was collected from the locality near the Urup River and is the first find of this species outside of western Europe. The dromiacean crab, Goniodromites aliquantulus Schweitzer, Feldmann, and Lazăr, 2007, was discovered from another locality near the Kamennomostsky village. This species was first described from the Oxfordian of Romania. Findings of fossil remains of Goniodromites aliquantulus and Gastrosacus wetzleri from the Oxfordian of the North Caucasus indicate an interconnected paleobiogeographical community of decapod faunas in the Late Jurassic in the Tethys basins.

In the philosophy of religion, ‘de jure objections’ is an umbrella term that covers a wide variety of arguments for the conclusion that theistic belief is rationally impermissible, whether or not God exists. What we call ‘modal Calvinism’ counters these objections by proposing that ‘if God exists, God would ensure that theistic belief is rationally compelling on a global scale’, a modal conditional that is compatible with atheism. We respond to this modal Calvinist argument by examining it through the lenses of probability, modality, and logic – particularly, we apply analytical tools such as possible world semantics, Bayesian reasoning, and paraconsistent models. After examining various forms of the argument, we argue that none can compel atheists to believe that serious theistic possibilities worth considering would involve the purported divine measure.

Pinanga represents one of the largest genera of palms and has been extensively collected by botanists, though ecological studies on Pinanga remain limited. We evaluated species diversity and assemblages of Pinanga palms in two contrasting forest types, heath forest (HF) and mixed Dipterocarp forest (MDF) in Brunei Darussalam located in the Borneo biodiversity hotspot. At three HF and three MDF sites, all Pinanga palms greater than 5 cm height within a 3-ha sampling area per site were recorded and taxonomically identified. Selected soil properties (total N and P concentrations, pH, gravimetric water content [GWC] and OM) and environmental variables (litter depth [LD], humidity, canopy openness [CO] and elevation) were determined for each study site. Our survey recorded a total of ten Pinanga species, comprising 981 individuals. Pinanga abundance was significantly higher in HF sites than in MDF sites, while Pinanga abundance and species richness significantly varied between sites. Patterns in Pinanga species assemblages were significantly influenced by soil properties and elevation in the MDF sites but were only influenced by CO and LD in the HF sites. We identified three Pinanga species found in both forest types: Pinanga lepidota, Pinanga salicifolia and Pinanga mirabilis, while seven Pinanga species were exclusive to MDF sites and none were exclusive to HF sites. Two Pinanga species (Pinanga chaiana and Pinanga veitchii) were recorded as singletons and thus are in urgent need of protection. The restricted distributions of these Pinanga species within Borneo signifies a need to tailor specific conservation strategies in their native habitats to avoid their local extinction.

The study aims to determine the theoretical and legal basis for the tactics of interrogation of minors in Kazakhstan, to identify promising areas for improving the legal regulation of interrogation of this category of participants in criminal proceedings in the Republic of Kazakhstan. A comprehensive methodology was employed to analyse the regulatory framework, incorporating systematic, formal legal, and formal logical methods. The study addressed the state of regulatory and legal support for the interrogation of juvenile offenders in Kazakhstan. The study emphasized the need to enshrine the possibility of restricting the participation of a legal representative in criminal proceedings or replacing it completely with another legal representative in cases where participation may harm a minor or adversely affect the course of criminal proceedings. The study formulated recommendations that can be used to improve the legal regulation of interrogation of minors in the Republic of Kazakhstan.

Perilla is a self-fertilizing crop widely used in East Asia for its seeds and leaves. Of the two varieties of Perilla, P. frutescens var. frutescens has long been used as a folk plant in South Korea. The seeds are rich in unsaturated fatty acids, which offer significant health benefits, making them popular for use in seed oil or as a spice. The leaves, with their high perilla ketone content and unique aroma, are used as leafy vegetables and spices. The morphological characteristics of crops are complex for various reasons, such as environment factors, multiplicity, etc. To better understand the morphological variations among three types of Perilla collected from three regions of South Korea, 7 qualitative traits and 10 quantitative traits were investigated using 500 Perilla accessions. The results of principal component analysis (PCA) indicated that the first two components together explained 52.2% of the overall variation. The 500 Perilla accessions clearly distinguished cultivated var. frutescens from weedy var. crispa and also revealed differences between cultivated and weedy types of var. frutescens. Significant morphological differences were observed among the three types of Perilla, especially in seed and plant characteristics. When the PCA results were analysed by region, regional differences were observed for all three types of Perilla. Therefore, this study provides a better understanding of the morphological and geographical differences in Perilla grown and naturally occurring in South Korea, which will aid research on crop evolution and differentiation, as well as Perilla breeding programmes.