A new explicit solution representation is provided for ARMA recursions with drift and either deterministically or stochastically varying coefficients. It is expressed in terms of the determinants of banded Hessenberg matrices and, as such, is an explicit function of the coefficients. In addition to computational efficiency, the proposed solution provides a more explicit analysis of the fundamental properties of such processes, including their Wold–Cramér decomposition, their covariance structure, and their asymptotic stability and efficiency. Explicit formulae for optimal linear forecasts based either on finite or infinite sequences of past observations are provided. The practical significance of the theoretical results in this work is illustrated with an application to U.S. inflation data. The main finding is that inflation persistence increased after 1976, whereas from 1986 onward, the persistence declines and stabilizes to even lower levels than the pre-1976 period.

In the 1870s, Heinrich Schliemann's excavations in Mycenae brought to light an unknown civilization. His intellectual network exploited the impact of these fascinating discoveries by implementing a double appropriation process. Many foreign intellectuals and members of the upper class sought to engage with the impressive findings. Meanwhile, a Greek intellectual elite played a pivotal role by Hellenizing Mycenaean antiquities to integrate them within a vision of a glorious national past. These processes were brought together with the inauguration of the branch of Mycenaean Archaeology by the Greek king and the establishment of the National Museum.

The crystal structure of cummingtonite-(P21/m) was characterised by single-crystal structure-refinement, infrared spectroscopy and 57Fe Mössbauer spectroscopy. Previous cummingtonite-(P21/m) specimens characterised have Mn2+ as the dominant constituent at M(4) but this amphibole has Fe2+ dominant at M(4). The formula of the amphibole was corrected for minor exsolved calcium-amphibole and is (Mg5.66Fe2+1.28Mn0.06)Σ7.00Si8.00O22(OH)2. The crystal structure (a = 9.4885(19), b = 18.040(4), c = 5.2891(11) Å, β = 102.06(3)°, V = 885.4(3) Å3, space group P21/m and Z = 2), was refined to an R1-index of 3.34% for 2338 observed reflections. Site-occupancy refinement gave the following site-populations: M(1) = 1.972(8) Mg + 0.028 Fe2+, M(2) = 2.000 Mg, M(3) = 0.989(6) Mg + 0.011 Fe2+, M(4) = 0.815(8) Mg + 1.125 Fe2+ + 0.060 Mn2+ apfu. Infrared spectroscopy in the principal (OH)-stretching region shows two peaks, at 3367 and 3652 cm–1, that were assigned to the local arrangements M(1)MgM(1)MgM(3)Mg–OH and M(1)MgM(1)Fe2+ M(3)Mg–OH (≈ M(1)MgM(1)MgM(3)Fe2+–OH) with relative intensities in accord with the refined site-populations. 57Fe Mössbauer spectrum shows three quadrupole-split doublets with parameters indicative of octahedrally coordinated Fe2+ at M(4) and M(1,2,3), and octahedrally coordinated Fe3+ that occurs in exsolved calcium amphibole. All three techniques indicate a small amount of Fe2+ at M(1,2,3) despite the fact that there is more than sufficient CMg to completely fill the M(1,2,3) sites: 5.66 Mg pfu. Issues involving the current and possible future nomenclature and classification of the magnesium-iron-manganese amphiboles are discussed in detail.

Cumulative exposure to anticholinergic and sedative medications has been associated with worsening physical function in older adults. We evaluated the feasibility of measuring physical function using wearable devices and explored the impact of reducing the anticholinergic and sedative medication burden in a pilot study of community-dwelling adults aged 60 years and older. Evaluations included the 10-meter walk test (10MWT), the Short Physical Performance Battery (SPPB), and the mini-BESTest. Two participants/month were recruited in one clinic in 2022. The five participants had a median age of 67, a median DBI of 1.7, and four were female. The feasibility analysis showed that the 10MWT and SPPB tests were completed on 12/12, and the mini-BESTest on 11/12. An exploratory analysis showed clinically meaningful improvements in gait speed (mean +0.18 m/s) and SPPB (mean +2.2 points). We showed the feasibility of measuring physical function by wearable devices during deprescribing of anticholinergic and sedative medications.

The diet proposed by the EAT-Lancet Commission has faced criticism concerning its affordability. This study aimed to investigate the cost associated with a greater alignment to the EAT-Lancet reference diet in the province of Québec, Canada. The dietary habits of 1147 French-speaking adults were assessed using repeated web-based 24-h recall data collected between 2015 and 2017 in the cross-sectional PRÉDicteurs Individuels, Sociaux et Environnementaux (PREDISE) study. Diet costs were calculated using a Nielsen food price database. Usual dietary intakes and diet costs were estimated using the National Cancer Institute’s multivariate Markov Chain Monte Carlo method. Adherence to the EAT-Lancet diet was assessed using the EAT-Lancet dietary index (EAT-I). Associations between diet costs and EAT-I scores were evaluated using linear regression models with restricted cubic splines. After adjustment for energy intake, a higher EAT-I score (75th v. 25th percentiles) was associated with a 1·0 $CAD increase in daily diet costs (95 % CI, 0·7, 1·3). This increase in diet costs was mostly driven by the following component scores of the EAT-I (75th v. 25th percentiles, higher scores reflecting greater adherence): vegetables (1·6 $CAD/d, 95 % CI: 1·2, 2·1), free sugars (1·6 $CAD/d, 95 % CI: 1·3, 1·9), fish and plant-based proteins (1·4 $CAD/d, 95 % CI: 1·0, 1·8), fruits (0·9 $CAD/d, 95 % CI: 0·4, 1·3) and whole grains (0·4 $CAD/d, 95 % CI: 0·0, 0·8). Inversely, a greater score for the poultry and eggs component was associated with reduced diet costs (–1·2 $CAD/d, 95 % CI: −1·7, −0·7). This study suggests that adhering to the EAT-Lancet diet may be associated with an increase in diet costs in the province of Québec.

This article, the third in a series, focuses on the “living” preverbs used in the verbal system of contemporary Pashto. The verbs treated here belong to the “compound verbs with preverb” class or to the “mixed verbs with preverb” class: verbs that replace the wə́- of the simple verbs with another preverb. This class of verbs represents a closed set, and a complete list of these verbs can be investigated systematically and exhaustively. This subject is as yet unexamined and its implications for the interpretation of contemporary Pashto verbal morphology are particularly stimulating.

Cation exchange competition (CEC) is driven by water uptake during saturation of bentonite barriers surrounding canisters releasing heat from radioactive waste. CEC differences may be used to follow smectite degradation. The unanswered question is whether processes can be understood in more detail by studying a full set of 30 bentonite blocks of the Alternative Buffer Material (ABM) test series (ABM-5) after reaction in an underground laboratory operated in crystalline rock at temperatures of ~250°C, the highest reported temperature so far. In contrast to expectations, only a minor CEC decrease of, on average, 1.8 meq 100 g–1 was detected, although processes depending on high temperature were expected to alter the swelling properties of smectites that can be followed analytically by reducing bentonite CEC values. A critical role of initial water saturation and initially ~25% Na+/CEC on exchangers was identified by comparison with the first ABM-1 package where CEC decreased by on, average, 5.5 meq 100 g–1. ABM-1 was heated from the start whereas the packages ABM-2 and ABM-5 in this study were heated after water saturation. Exchangeable cations (EC) were distributed within the whole barrier in ABM-5 with (1) more pronounced horizontal EC gradients and (2) the absence of an exchangeable Na+ decrease. In all tests, a cation equilibration with the Äspö groundwater averaged over the whole packages of many different buffer materials was observed, showing, overall, a significant range in final composition after retrieval: Na+ (27–46%/CEC), Mg2+ (7–15%/CEC), and Ca2+ (45–100%/CEC). The groundwater for saturation, however, was locally variable in composition. Although excluded from the smectite interlayer (below or equal to 2 water layers), Cl– entered the barrier from groundwater, increased significantly in nearly all ABM-5 bentonite blocks, and was found to be mobile also in the less heated ABM-1 and ABM-2 test packages.

Although real wages have long been a cornerstone of our understanding of the premodern economy, in recent years historians have become sceptical about their usefulness as a proxy for living standards. One of the main concerns is that, before industrialization, most households did not depend on wages but were self-employed. This article therefore proposes a new methodology to test the representativeness of real wage series for the general population by comparing changes in the purchasing power of builders’ wages with the relative position of building labourers in tax lists. Not surprisingly, it confirms their exceptional position, which evolved according to remuneration. Instead of disregarding the unreal wages, the methodology shows a promising path forward. The relationship between changes in wage income and the relative position in fiscal sources can be exploited to identify other groups who were or became dependent on this type of labour. Accordingly, it holds the potential to retrace shifts in the functional distribution of income and the wage systems for different groups in the premodern economy.

This paper presents for the first time the implementation of an Si/SiGe heterojunction bipolar phototransistor (HPT) into an STMicroelectronics BiCMOS technology together with the development of hydrodynamical model that fits in a trustable manner the measured opto-microwave performance. The developed hydrodynamical model relies on a precise topology analysis of the HPT and an efficient optical absorption coefficient model. It is key to predict the optimization required for the HPT. Simulation results with responsivities of 0.92 A/W and bandwidth of 1.55 GHz are obtained at low $V_{\scriptsize{\text{CE}}}=2$ V and for small devices with $2 \times 2\,\unicode{x00B5} \text{m}^{2}$ optical window. Simulation results are used to identify the best horizontal geometry that maximizes the gain–bandwidth product of the HPT. The behavior of the photo-generated carriers in the active region of the device is investigated.

Gymnophallidae is one of the digenean families featuring bivalves as first intermediate hosts. However, the exact bivalve host species remain unknown for most members of this family. Gymnophallids have been one of the targets in our continuous efforts to reveal the diversity of digeneans in the higher north. Here, we focus on Gymnophallus minor, which we found in eiders from various locations in the Arctic and sub-Arctic. Sexual adults (maritae) of G. minor can be easily identified because they have a distinctive character: the roughly equal size of the pharynx and the ventral sucker. We also matched them, using DNA markers, with the intramolluscan stages (sporocysts, cercariae, and metacercariae) from the bivalve Liocyma fluctuosa collected on Spitsbergen. Taken together, we compile the first data on the life cycle of G. minor and discuss them in the context of other gymnophallids.

Modern data analysis depends increasingly on estimating models via flexible high-dimensional or nonparametric machine learning methods, where the identification of structural parameters is often challenging and untestable. In linear settings, this identification hinges on the completeness condition, which requires the nonsingularity of a high-dimensional matrix or operator and may fail for finite samples or even at the population level. Regularized estimators provide a solution by enabling consistent estimation of structural or average structural functions, sometimes even under identification failure. We show that the asymptotic distribution in these cases can be nonstandard. We develop a comprehensive theory of regularized estimators, which include methods such as high-dimensional ridge regularization, gradient descent, and principal component analysis (PCA). The results are illustrated for high-dimensional and nonparametric instrumental variable regressions and are supported through simulation experiments.

The presence of excessive arsenic (As) in paddy fields poses a significant risk to human health due to its accumulation in rice grains. However, the current level of As in Sri Lankan paddy fields remains unclear. Therefore, this research aims to assess the distribution of exchangeable As concentration and investigate the effects of agro-climatic zones (ACZs), soil orders and water sources on exchangeable As concentration in Sri Lankan paddy fields. For this purpose, 7,154 soil samples were collected from paddy fields using a stratified random sampling method representing six ACZs, six soil orders and three water sources. Arsenic extraction was made using 0.01 M CaCl2 followed by the detection with inductive coupled plasma mass spectrophotometry. The concentration of exchangeable As ranged from 0.01 to 392.9 µg/kg with an average of 24.6 µg/kg. Samples from the Low-country Wet zone exhibited higher exchangeable As levels compared to those from the Low country Dry zone (P < 0.05). Among soil orders, Histosols, Inceptisols and Ultisols showed higher exchangeable As concentrations than Alfisols and Vertisols (P < 0.05). Rainfed paddy fields had higher exchangeable As compared to the fields with access to supplementary irrigation. Additionally, exchangeable As concentration was inversely correlated with soil pH and paddy grain yield (P < 0.05). The observed variations in soil-As concentration across ACZs, soil orders and water sources highlight the need for climate, soil order and water source-specific strategies to mitigate further accumulation of As in paddy fields.