59 research outputs found

    Asymptotics of polynomials orthogonal over circular multiply connected domains

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    Let DD be a domain obtained by removing, out of the unit disk {z:∣z∣<1}\{z:|z|<1\}, finitely many mutually disjoint closed disks, and for each integer n≥0n\geq 0, let Pn(z)=zn+⋯P_n(z)=z^n+\cdots be the monic nnth-degree polynomial satisfying the planar orthogonality condition ∫DPn(z)zm‾dxdy=0\int_D P_n(z)\overline{z^m}dxdy=0, 0≤m<n0\leq m<n. Under a certain assumption on the domain DD, we establish asymptotic expansions and formulae that describe the behavior of Pn(z)P_n(z) as n→∞n\to\infty at every point zz of the complex plane. We also give an asymptotic expansion for the squared norm ∫D∣Pn∣2dxdy\int_D|P_n|^2dxdy

    Asymptotic Properties Of Polynomials Orthogonal Over Multiply Connected Domains

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    We investigate the asymptotic behavior of polynomials orthogonal over certain multiply connected domains. Each domain that we consider has an analytic boundary and is, in a strong sense, conformally equivalent to a canonical type of multiply connected domain called a circular domain. The two most general results involve the construction of a series expansion and an integral representation for these polynomials. We show that the integral representation can be utilized to derive more specific results when the domain of orthogonality is circular. In this case, we shed light on the manner in which the holes in the domain of orthogonality influence the polynomials

    Effects of Explanatory Autism Disclosure on Coworker Attitudes

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    People with autism tend to have difficulties with the social relationships in the workplace, which are a crucial aspect to maintaining employment. In this study, we investigated whether disclosure of an autism spectrum disorder would improve adults’ attitudes toward a potential coworker with autism. Participants (93 college students, 93 working adults) were randomly assigned to read one of three vignettes describing the same interaction with a potential coworker with moderately severe ASD, but different levels of disclosure. As hypothesized, disclosure, as compared to no disclosure, led significantly more positive attitudes toward and higher willingness to work with the coworker. Disclosure significantly increased positive judgments of the coworker’s warmth, although it had no significant impact on judgments of the coworker’s competence. This research indicates that disclosure of autism to coworkers may be beneficial in improving attitudes toward people with autism, which could ultimately improve working relationships of those with autism

    Summary of Major Findings: Learn and Serve America, Higher Education

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    This report provides an overview of results from the first year evaluation of Learn and Serve America, Higher Education (LSAHE), an initiative of the Corporation for National Service (CNS). The evaluation assessed the impacts of LSAHE on communities, students, and institutions in fiscal year 1995

    Environmental And Occupational Exposures And Amyotrophic Lateral Sclerosis In New England

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    Background: Recent data provide support for the concept that potentially modifiable exposures are responsible for sporadic amyotrophic lateral sclerosis (ALS). Objective: To evaluate environmental and occupational exposures as risk factors for sporadic ALS. Methods: We performed a case control study of ALS among residents of New England, USA. The analysis compared questionnaire responses from 295 patients with a confirmed ALS diagnosis to those of 225 controls without neurodegenerative illness. Results: Self-reported job-or hobby-related exposure to one or more chemicals, such as pesticides, solvents, or heavy metals, increased the risk of ALS (adjusted OR 2.51; 95% CI 1.64-3.89). Industries with a higher toxicant exposure potential (construction, manufacturing, mechanical, military, or painting) were associated with an elevated occupational risk (adjusted OR 3.95; 95% CI 2.04-8.30). We also identified increases in the risk of ALS associated with frequent participation in water sports, particularly waterskiing (adjusted OR 3.89; 95% C11.97-8.44). Occupation and waterskiing both retained independent statistical significance in a composite model containing age, gender, and smoking status. Conclusions: Our study contributes to a growing body of literature implicating occupational-and hobby-related toxicant exposures in ALS etiology. These epidemiologic study results also provide motivation for future evaluation of water-body-related risk factors. (C) 2017 S. Karger AG, Base

    Evaluation of Learn and Serve America, Higher Education: First Year Report, Volume I

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    This report presents evaluation results for the first year of the Learn and Serve America, Higher Education (LSAHE) initiative, sponsored by the Corporation for National and Community Service (CNS). It addresses impacts of LSAHE on communities, higher education institutions, and service providers

    OPtimising Treatment for MIld Systolic hypertension in the Elderly (OPTiMISE): protocol for a randomised controlled non-inferiority trial

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    Introduction: Recent evidence suggests that larger blood pressure reductions and multiple antihypertensive drugs may be harmful in older people, particularly frail individuals with polypharmacy and multi-morbidity. However, there is a lack of evidence to support de-prescribing of antihypertensives, which limits the practice of medication reduction in routine clinical care. The aim of this trial is to examine whether antihypertensive medication reduction is possible in older patients without significant changes in blood pressure control at follow-up. Methods and analysis: This trial will use a Primary Care based, open label, randomised controlled trial design. A total of 540 participants will be recruited, aged ≥80 years, with systolic blood pressure <150 mmHg and receiving ≥2 antihypertensive medications. Participants will have no compelling indication for medication continuation and will be considered to potentially benefit from medication reduction due to existing polypharmacy, co-morbidity and frailty. Following a baseline appointment, individuals will be randomised to a strategy of medication reduction (intervention) with optional self-monitoring or usual care (control). Those in the intervention group will have one antihypertensive medication stopped. The primary outcome will be to determine if a reduction in medication can achieve a proportion of participants with clinically safe blood pressure levels at 12 week follow-up (defined as a systolic blood pressure <150mmHg) which is non-inferior (within 10%) to that achieved by the usual care group. Qualitative interviews will be used to understand the barriers and facilitators to medication reduction. The study will use economic modelling to predict the long term effects of any observed changes in blood pressure and quality-of-life. Ethics and dissemination: The protocol and written information has been approved by a Research Ethics Committee, medicines regulatory authority (MHRA), and national and local health research authorities. All research outputs will be published in peer-reviewed journals and presented at national and international conferences

    Comparative Effectiveness of Tumor Response Assessment Methods: Standard of Care Versus Computer-Assisted Response Evaluation

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    Purpose To compare the effectiveness of metastatic tumor response evaluation with computed tomography using computer-assisted versus manual methods. Materials and Methods In this institutional review board–approved, Health Insurance Portability and Accountability Act–compliant retrospective study, 11 readers from 10 different institutions independently categorized tumor response according to three different therapeutic response criteria by using paired baseline and initial post-therapy computed tomography studies from 20 randomly selected patients with metastatic renal cell carcinoma who were treated with sunitinib as part of a completed phase III multi-institutional study. Images were evaluated with a manual tumor response evaluation method (standard of care) and with computer-assisted response evaluation (CARE) that included stepwise guidance, interactive error identification and correction methods, automated tumor metric extraction, calculations, response categorization, and data and image archiving. A crossover design, patient randomization, and 2-week washout period were used to reduce recall bias. Comparative effectiveness metrics included error rate and mean patient evaluation time. Results The standard-of-care method, on average, was associated with one or more errors in 30.5% (6.1 of 20) of patients, whereas CARE had a 0.0% (0.0 of 20) error rate (P < .001). The most common errors were related to data transfer and arithmetic calculation. In patients with errors, the median number of error types was 1 (range, 1 to 3). Mean patient evaluation time with CARE was twice as fast as the standard-of-care method (6.4 minutes v 13.1 minutes; P < .001). Conclusion CARE reduced errors and time of evaluation, which indicated better overall effectiveness than manual tumor response evaluation methods that are the current standard of care
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