As an extension of Sylvester’s matrix, a tridiagonal matrix is investigated by determining both left and right eigenvectors. Orthogonality relations between left and right eigenvectors are derived. Two determinants of the matrices constructed by the left and right eigenvectors are evaluated in closed form.

We examine whether an individual's inability to save in the last 12 months affects the extent to which they are concerned about their future financial security and their propensity to plan for retirement. We use an original survey based upon representative samples of working individuals in 16 countries. We show that individuals who were unable to save over the 12-month period prior to the survey are less likely to consider well-being in retirement as their major financial concern. They are also less likely to invest in supplementary pension funds than those who were able to accumulate savings. We provide evidence that these findings are robust under several specifications and are mediated by respondents' perceived income prospects and assessment of their current financial situations.

Cheng and Newhouse (Ergod. Th. & Dynam. Sys. 25 (2005), 1091–1113) proved a variational principle for topological preimage entropy $h_{\mathrm {pre}}(f)$:

$$ \begin{align*} h_{\mathrm{pre}}(f)=\sup_{\mu\in\mathcal{M}(X,f)}h_{\mathrm{pre},\mu}(f). \end{align*} $$

Unfortunately, we show in this note that this variational principle is not true.

Since the early years of activation and workfare in the 1990s, the use of welfare conditionality and benefit sanctions has been proposed among the necessary solutions to ensure the efficiency of welfare policy by reinforcing individual economic incentives. Using rich administrative registers from Norway, we produce micro-level quantitative evidence on compulsory activation for young recipients of social assistance. The empirical challenge is that activation through the threat of benefit sanctions is not a feature that unambiguously emerges from observational data, except for when sanctions indeed take place and benefits are reduced. To overcome this barrier, we introduce a novel methodology to identify individual-level effects of activation on young welfare recipients, exploiting municipal variation in the introduction of compulsory activation. More precisely, we study whether individuals who are residents in municipalities that have introduced compulsory activation display a stronger relationship between their labor market status (activation) and their benefit size (because sanctions being in place) compared to individuals residing in municipalities where activation has not been made compulsory. Our results show that there is no different relationship between social assistance benefits and passive labor market status for individuals living in municipalities that practice activation compared with individuals residing in municipalities in which activation is not yet mandatory. In other words, there is no visible effect of sanctions for passive recipients.

Certaines études suggèrent que le projet de Charte des valeurs du PQ et la loi 21 ont nourri un sentiment d'exclusion chez les membres des religions minoritaires. Cependant, aucune étude ne permet à ce jour de comparer le sentiment d'appartenance des minorités religieuses avant et après la mise à l'agenda de ces projets législatifs. Ancrée dans la recherche sur les « événements focalisateurs » et reposant sur des données de trois sondages réalisés en 2012, 2014 et 2019, notre étude examine l'impact des débats sur laïcité sur le sentiment d'appartenance des immigrants racisés au Québec. Nos résultats démontrent qu'un déficit d'appartenance au Québec par rapport au Canada existait déjà en 2012, mais qu'il était circonscrit à certains groupes, notamment ceux de dénominations non chrétiennes et les non francophones. Nos analyses montrent aussi qu'avec les débats sur la laïcité, le déficit d'appartenance au Québec s'est étendu aux minorités non religieuses et aux francophones.

Trends in 2-1-1 calls reflect evolving community needs during public health emergencies (PHEs). The study examined how changes in 2-1-1 call volume after 2 PHEs (Hurricane Irma and the coronavirus disease 2019 [COVID-19] pandemic declaration) in Broward County, Florida, varied by PHE type and whether variations differed by gender and over time. Examining 2-1-1 calls during June to December 2016, June to December 2017, and March 2019 to April 2021, this study measured changes in call volume post-PHEs using interrupted time series analysis. Hurricane Irma and the COVID-19 pandemic were associated with increases in call volume (+81 calls/d and +84 calls/d, respectively). Stratified by gender, these PHEs were associated with larger absolute increases for women (+66 and +57 calls/d vs +15 and +27 calls/d for men) but larger percent increases above their baseline for men (+143% and +174% vs +119% and +138% for women). Calls by women remained elevated longer after Hurricane Irma (5 wk vs 1 wk), but the opposite pattern was observed after the pandemic declaration (8 vs 21 wk). PHEs reduce gender differences in help-seeking around health-related social needs. Findings demonstrate the utility of 2-1-1 call data for monitoring and responding to evolving community needs in the PHE context.

Space-based automatic dependent surveillance-broadcast (ADS-B) receivers can cover thousands of aircraft, each transmitting 6 ⋅ 2 signals per second. As a result, ADS-B signals are very prone to overlap. When the number of aircraft covered by a receiver reaches 3,000, about 90 % of the signals will be overlapping. Overlapped signals can reduce the decoding accuracy of receivers, so that aircraft information cannot be accurately transmitted to the air traffic control (ATC) surveillance system, hence threatening aviation flight safety. It is necessary to propose signal separation algorithms for space-based ADS-B systems. An orthogonal projection linear constrained minimum variance (OPLCMV) algorithm is proposed, which can separate two signals simultaneously based on the linearly constrained minimum variance algorithm by exploiting the characteristics of overlapped signals. Compared with the state-of-the-art extended projection algorithm and the fast independent component analysis algorithm, the OPLCMV method has a higher decoding accuracy for multiple overlapping signals with a small direction difference of arrival or frequency shift. Moreover, the OPLCMV algorithm has a low computational complexity when the number of overlapped signal sources is less than seven.

Successful drugs policy must be driven by thoughtful principle and intergovernmental consensus, not by departmental or legal inertia, nor by public (mis)conceptions about drug use. Perhaps the most pressing choice for drugs policymakers at present is between harm reduction and abstinence approaches to drugs policy. To choose between these two approaches, we need to know addiction's normative status: is having an addiction a misfortune or a harm in its own right, even setting aside knock-on health and wellbeing consequences? We argue that the harm of addiction is driven by poor policies, but that harm is not inevitable.

A novel couple-constrained parallel wrist with three measuring force flexible fingers is designed for grabbing heavy objects and measuring grabbed forces. Its prototype is developed, its dynamics model is established, and its grabbing forces are measured. First, using the extended formulas of the skew-symmetric matrix, the kinematic formulas are derived for solving the Jacobian/Hessian matrices and the general velocity/acceleration of the moving links in the couple-constrained parallel wrist. Second, a dynamics model is established for solving the dynamic actuation forces, the couple-constrained forces, and the torque in the couple-constrained parallel wrist. Third, the theoretical solutions of the kinematics/dynamics of the couple-constrained parallel wrist are verified using a simulation mechanism. Finally, the grabbing forces of the three flexible fingers are measured and analyzed.

What exactly is a “wicked problem”? It is a social or economic problem that is so complex and so interconnected with other issues that it is extraordinarily difficult or impossible to resolve. This is because all proposed resolutions generate equally complex, equally wicked problems. In this essay, I argue that precision medicine, especially in the context of the U.S. healthcare system, generates numerous wicked problems related to distributive justice. Further, I argue that there are no easy solutions to these wicked problems. The need for trade-offs is inescapable. Rough justice is the best outcome we can hope for, and that outcome requires a commitment to processes of public reason that are fair and inclusive.

The association between dairy products consumption in adults and the likelihood of type 2 diabetes mellitus (T2DM) has been described, but more information on the adolescent population is needed. This nationally representative, cross-sectional school-based study aimed to describe the consumption of dairy products and their subtypes and to evaluate their association with prediabetes and T2DM in adolescents. The Study of Cardiovascular Risks in Adolescents (ERICA) includes adolescents aged 12–17 years. Dairy products consumption was evaluated by 24-h food recall. Associations with fasting glucose, glycated hemoglobin (HbA1c) and insulin resistance, as measured by homeostatic model assessment-insulin resistance (HOMA-IR), were evaluated by multivariate linear regression. Poisson regression was also used to assess the association between dairy products consumption and the combined prevalence of prediabetes and T2DM. Models were adjusted for sociodemographic, nutritional, behavioural and anthropometrics. The final sample analysed consisted of 35 614 adolescents. Total intake of dairy products was inversely associated with fasting blood glucose levels after adjusting for all covariates (β = −0·452, 95 % CI −0·899, −0·005). The associations were stronger for overweight and obese adolescents. Findings were similar for full-fat dairy products and yogurt. Higher consumption of low-fat dairy products and cheese were associated with a 46 % (prevalence ratio, PR 1·46, 95 % CI 1·18, 1·80) and 33 % (PR 1·33, 95 % CI 1·14, 1·57) higher combined prevalence of prediabetes and T2DM, respectively. The total consumption of dairy products and full-fat dairy products was associated with a lower combined prevalence of prediabetes and T2DM, while the consumption of cheese and low-fat dairy products was associated with higher combined prevalence of prediabetes and T2DM in Brazilian adolescents.