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Let $\mathbb {Z}$ be the additive (semi)group of integers. We prove that for a finite semigroup S the direct product $\mathbb {Z}\times S$ contains only countably many subdirect products (up to isomorphism) if and only if S is regular. As a corollary we show that $\mathbb {Z}\times S$ has only countably many subsemigroups (up to isomorphism) if and only if S is completely regular.
There is global interest in the reconfiguration of community mental health services, including primary care, to improve clinical and cost effectiveness.
Aims
This study seeks to describe patterns of service use, continuity of care, health risks, physical healthcare monitoring and the balance between primary and secondary mental healthcare for people with severe mental illness in receipt of secondary mental healthcare in the UK.
Method
We conducted an epidemiological medical records review in three UK sites. We identified 297 cases randomly selected from the three participating mental health services. Data were manually extracted from electronic patient medical records from both secondary and primary care, for a 2-year period (2012–2014). Continuous data were summarised by mean and s.d. or median and interquartile range (IQR). Categorical data were summarised as percentages.
Results
The majority of care was from secondary care practitioners: of the 18 210 direct contacts recorded, 76% were from secondary care (median, 36.5; IQR, 14–68) and 24% were from primary care (median, 10; IQR, 5–20). There was evidence of poor longitudinal continuity: in primary care, 31% of people had poor longitudinal continuity (Modified Modified Continuity Index ≤0.5), and 43% had a single named care coordinator in secondary care services over the 2 years.
Conclusions
The study indicates scope for improvement in supporting mental health service delivery in primary care. Greater knowledge of how care is organised presents an opportunity to ensure some rebalancing of the care that all people with severe mental illness receive, when they need it. A future publication will examine differences between the three sites that participated in this study.
Examples from Chinese, Thai, and Finnish illustrate why researchers cannot always be confident about the precise nature of the word unit. Understanding ambiguities regarding where a word begins and ends, and how to model word recognition when many derivations of a word are possible, is essential for universal theories of reading applied to both developing and expert readers.
Edited by
Michael Selzer, University of Pennsylvania,Stephanie Clarke, Université de Lausanne, Switzerland,Leonardo Cohen, National Institute of Mental Health, Bethesda, Maryland,Pamela Duncan, University of Florida,Fred Gage, Salk Institute for Biological Studies, San Diego
This chapter explains how areas of the cerebral cortex and their descending pathways contribute to voluntary motor control in humans in the context of how these areas provide compensatory control for each other in the damaged brain. It reviews evidence that supports the current, more complex view of primary motor cortical (M1). The chapter discusses how the current view indicates that M1 is a flexible control system with an inherent capacity for plastic reorganization after brain injury. The non-primary motor cortical areas (NPMAs) are well-suited to provide compensatory control of voluntary movement after damage to M1. Motor control signals from M1 and the NPMAs travel to the spinal cord via several descending tracts. The corticospinal tract is the most direct pathway from the cerebral cortex to the spinal motoneurons. Finally, the chapter shows how spared territories and tracts might affect the capacity for functional recovery of movement.
Over the past several decades, numerous investigators have studied the syndrome of delirium. Researchers have relied on a number of different case finding methods to detect the syndrome. This paper provides an overview of instruments used in studies of delirium. We assess the validity and reliability of these instruments and compare the advantages and disadvantages of the different methods. We then present the rationale for the development of the Delirium Symptom Interview, an instrument constructed for use in the Commonwealth-Harvard Study of delirium in elderly hospitalized patients.
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