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Suppose that A and A ′ are subsets of Z/N Z. We write A + A ′ for the set {a + a ′ : a ∈ A and a ′ ∈ A ′ } and call it the sumset of A and A ′. In this paper we address the following question. Suppose that A 1 , ..., Am are subsets of Z/N Z. Does A 1 + ... + Am contain a long arithmetic progression? The situation for m = 2 is rather different from that for(More)
The pattern of occupations engaged in the care of patients has grown steadily more complex, and is characterised by the creation of new occupations, additional specialisation within existing occupations, and extensions to existing occupational roles. This paper presents empirical data from a study of professionals working with heart failure patients in the(More)
OBJECTIVES Within medical education, there is a discrepancy between the achievement level of White students and that of their ethnic minority peers. The processes underlying this disparity have not been adequately investigated or explained. This study utilises social network analysis to investigate the impact of relationships on medical student achievement(More)
Suppose that G is a locally compact abelian group, and write M(G) for the algebra of bounded, regular, complex-valued measures under convolution. A measure µ ∈ M(G) is said to be idempotent if µ * µ = µ, or alternatively if µ takes only the values 0 and 1. The Cohen-Helson-Rudin idempotent theorem states that a measure µ is idempotent if and only if the set(More)
Current dietary recommendations advise reducing the intake of saturated fatty acids (SFAs) to reduce coronary heart disease (CHD) risk, but recent findings question the role of SFAs. This expert panel reviewed the evidence and reached the following conclusions: the evidence from epidemiologic, clinical, and mechanistic studies is consistent in finding that(More)
In this study, the authors sought to examine how risk information is articulated in relation to health problems that people identify as personally important and relevant. The respondents were receptive to health education messages, using different types of information in relation to its personal relevance and as a resource for managing and exercising(More)
AIM This paper is a report of a study conducted to explore how specialist heart failure nurses negotiate treatment advice with patients, in the context of an increasing expectation that clinical staff in the National Health Services will follow guidelines in their daily work. BACKGROUND The development of specialist nurse roles has given rise to questions(More)
CONTEXT Globalisation has profoundly affected health care by increasing the diversity of clinicians and their patients. Worldwide, medical schools highlight the need for students to understand and show respect for patients and peers of different ethnicities. Yet a sound theoretical approach and robust methods for learning about cultural awareness are(More)
BACKGROUND Changing clinicians' behaviour is recognised as a major challenge. It is clear that behaviour change not only depends on demonstrating the proven effectiveness of clinical interventions; contextual and occupational factors, such as 'change readiness', may be central to their implementation. This paper highlights the context of behaviour change in(More)