We normally think of ‘plural’ in English in terms of reference to more than one, as in the use of the word dogs to refer to more than one dog. This is described as the ‘ordinary’ or ‘additive’ plural, which has referential homogeneity in the sense that every member of the group referenced by dogs is a dog. In contrast, there is another type of plural which is used for human groups and has referential heterogeneity, that is, each member of the referenced group is a separate individual.1 In addition, each of those members is associated in some way, typically as family, friend or habitual companion, with a prominent member of the group, hence the term ‘associative’ plural for the construction. The following description is from Moravcsik (2003).

This paper proposes a linear quadratic approximation approach to dynamic nonlinear rationally inattentive control problems with multiple states and multiple controls. An efficient toolbox to implement this approach is provided. Applying this toolbox to five economic examples demonstrates that rational inattention can help explain the comovement puzzle in the macroeconomics literature.

Consumption of ultra-processed food (UPF) has been associated with several chronic diseases and poor diet quality. It is reasonable to speculate that the consumption of UPF negatively associates with flavonoid dietary intake; however, this assumption has not been previously examined. The present study aims to assess association between the dietary contribution of UPF and flavonoid intake in the US population aged 0 years and above. We performed a cross-sectional analysis of dietary data collected by 24-h recalls from 7640 participants participating in the National Health and Nutrition Examination Survey 2017–2018. Foods were classified according to the Nova classification system. The updated US Department of Agriculture (USDA) Database for the Flavonoid Content of Selected Foods (Release 3.3) database was used to estimate total and six classes of flavonoid intakes. Flavonoid intakes were compared across quintiles of dietary contribution of UPF (% of total energy intake) using linear regression models. The total and five out of six class flavonoid intakes decreased between 50 and 70 % across extreme quintiles of the dietary contribution of UPF (Pfor linear trend < 0·001); only isoflavones increased by over 260 %. Our findings suggest that consumption of UPF is associated with lower total and five of six class flavonoid intakes and with higher isoflavone intakes, supporting previous evidence of the negative impact of UPF consumption on the overall quality of the diet and health outcomes.

Since the 1960s Mastermind has been studied for the combinatorial and information-theoretical interest the game has to offer. Many results have been discovered starting with Erdős and Rényi determining the optimal number of queries needed for two colours. For $k$ colours and $n$ positions, Chvátal found asymptotically optimal bounds when $k \le n^{1-\varepsilon }$. Following a sequence of gradual improvements for $k\geq n$ colours, the central open question is to resolve the gap between $\Omega (n)$ and $\mathcal{O}(n\log \log n)$ for $k=n$. In this paper, we resolve this gap by presenting the first algorithm for solving $k=n$ Mastermind with a linear number of queries. As a consequence, we are able to determine the query complexity of Mastermind for any parameters $k$ and $n$.

Radiocarbon dates on charred plant remains are often used to define the chronology of archives such as lake cores and fluvial sequences. However, charcoal is often older than its depositional context because old-wood can be burnt and a range of transport and storage stages exist between the woodland and stream or lake bed (“inherited age”). In 1978, Blong and Gillespie dated four size fractions of charcoal found floating or saltating in the Macdonald River, Australia. They found larger fragments gave younger age estimates, raising the possibility that taphonomic modifications could help identify the youngest fragments. In 1978 each date required 1000s charcoal fragments. This study returns to a sample from the Macdonald River to date individual charcoal fragments and finds the inherited age may be more than 1700 years (mode 250 years) older than the collection date. Taphonomic factors, e.g., size, shape or fungal infestation cannot identify the youngest fragments. Only two fragments on short-lived materials correctly estimated the date of collection. In SE Australia, this study suggests that wood charcoal will overestimate the age of deposition, taphonomic modifications cannot be used to identify which are youngest, and multiple short-lived materials are required to accurately estimate the deposition age.

Escalating medication prices are forcing drug benefit programs worldwide to change their payment policies. Physicians object that this intrudes on their long established authority to prescribe medications they judge best for their patients. This paper reports data from focus groups and a large random sample of seniors in British Columbia who were asked for their views towards Pharmacare's reference based pricing (RBP) policy. Seniors expressed the desire for physicians to be more knowledgeable and more involved in all aspects of medical care including policy changes. They have confidence in physicians as a credible source of information, but they also have as much confidence in pharmacists and almost as much in the Ministry of Health. Seniors overwhelmingly accept, and the majority support government's efforts with their cost-saving Pharmacare policies. Furthermore, those who know more about the policy are more likely to support it. The paper closes with a discussion of the feedback process with decision-makers.

The issue of linking research and policy is not unique to health care of the elderly; it has been articulated by numerous stakeholder groups, including those with specific diseases, such as breast cancer. A method of enhancing these links is now being systematically addressed in the Canadian Breast Cancer Initiative with the input of women with breast cancer. The Initiative consists of a number of components and demonstrates a model of consumer participation at multiple levels in setting the agenda for research and policy development, thus enhancing accountability in the transfer of research findings into policy. The concept of consumer participation in linking research and policy is transferable to other diseases and other population groups, such as seniors.

In this paper, a compact two-element reconfigurable multiple-input multiple-output (MIMO) antenna for 5G new radio sub-6 GHz is presented and discussed. The proposed MIMO antenna has four frequency operating modes: a wideband operating mode (2.41–6 GHz), a wideband operating mode with a notching band at 3.5 GHz (3.2–3.66 GHz), a low-pass filter mode that filters the higher frequencies with a wide operating band from 2.41 GHz to 4.7 GHz, and a dual-band mode with two operating narrow bands (2.41–3.16 GHz and 3.64–4.7 GHz). To improve the isolation over the entire operating band, a strip line connecting the two ground planes of the two antenna elements has been used. To validate the proposed approach, different prototypes have been fabricated and measured. The simulation results are in good agreement with the measurement results. The proposed antenna has good MIMO diversity performance with a maximum gain of 4.64 dBi. The minimum isolation is 18 dB for the four operating modes, while a measured envelope correlation coefficient of less than 0.008 is achieved. The diversity gain is near 10 dB for various operating modes. The antenna is suitable for cognitive radio and 5G sub-6 GHz applications.