10,355 research outputs found

    Bounded gaps between primes with a given primitive root, II

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    Let mm be a natural number, and let Q\mathcal{Q} be a set containing at least exp(Cm)\exp(C m) primes. We show that one can find infinitely many strings of mm consecutive primes each of which has some qQq\in\mathcal{Q} as a primitive root, all lying in an interval of length OQ(exp(Cm))O_{\mathcal{Q}}(\exp(C'm)). This is a bounded gaps variant of a theorem of Gupta and Ram Murty. We also prove a result on an elliptic analogue of Artin's conjecture. Let E/QE/\mathbb{Q} be an elliptic curve with an irrational 22-torsion point. Assume GRH. Then for every mm, there are infinitely many strings of mm consecutive primes pp for which E(Fp)E(\mathbb{F}_p) is cyclic, all lying an interval of length OE(exp(Cm))O_E(\exp(C'' m)). If EE has CM, then the GRH assumption can be removed. Here CC, CC', and CC'' are absolute constants

    Master Planned Communities and Governance

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    In the last three decades, a number of master planned communities (MPCs) have been developed in South East Queensland (SEQ) as part of the response to the housing demands of rapid population growth. Developers, state government, local councils and communities play key roles in the production and management of infrastructure and community services in these Masterplanned communities. Alongside rising community expectations regarding quality of services, there is an increasing trend for developers to be involved in either the direct provision of infrastructure, or its funding, with local councils and the state government playing a facilitating role in provision of services alongside their more traditional role of direct provision. It is imperative to understand the governance structures as well as governance challenges of master planned communities at different stages of development. The objectives of this paper are to review governance frameworks and challenges for master planned communities at three critical stages of development: the visioning and planning stage, the implementation stage, and the completion stage. The paper has identified three distinct governance structures of master planned communities – single developer model, principal developer model and government led model. Three case studies from South East Queensland, each being representative of a particular governance structure, are used to evaluate each of the three stages of development with respect to the challenges involved in the provision of infrastructure and services. The paper provides a framework for analysing the relationship between governance structures and the development of master planned communities, focusing on the relationships that exist between institutional stakeholders, and on the potential impacts of the transfer of infrastructure and service provision from private management to community and local control

    Physicians' Practice of Dispensing Medicines: A Qualitative Study

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    Objectives: The physical act of giving medication to patients to administer away from a health care setting, dispensing, is normally performed by pharmacists. Dispensing of medication by physicians is a neglected patient safety issue, and having observed considerable variation in practice, the lead author sought to explore this issue further. A literature review yielded zero articles pertaining to this, so an exploratory study was commenced. The qualitative arm, relating to junior physicians' experience of, and training in, dispensing, is reported here. Methods: Focus groups were conducted to explore the beliefs, ideas, and experiences of physicians-in-training pertaining to dispensing of medication. These were recorded and transcribed. The transcriptions were thematically analyzed using the grounded theory. Results: The emergency department was the most common site of dispensing. No formal training in dispensing had been received. Informal training was variable in content and utility. The physicians felt that dispensing was part of their role. Conclusions: Despite being expected to dispense, and the patient safety issues involved in giving drugs to patients to use at home, physicians do not feel that they have been trained to undertake this task. These findings from 1 hospital raise questions about thewider quality and safety of this practic

    Acute hemorrhagic nephritis

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    The 79th Street Squirrel

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