648 research outputs found

    Nondegeneracy of positive solutions of semilinear elliptic problems in the hyperbolic space

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    In this article, we will study the nondegeneracy properties of positive finite energy solutions of the equation -Δu - λu = |u|p-1u in the hyperbolic space. We will show that the degeneracy occurs only in an N-dimensional subspace. We will prove that the positive solutions are nondegenerate in the case of geodesic balls

    Symmetry for a quasilinear elliptic equation in Hyperbolic space

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    In this article we establish the radial symmetry of positive solutions of a p- Laplace equation in the Hyperbolic space, which is the Euler Lagrange equation of the p- Poincare Sobolev inequality in the Hyperbolic space. We will also establish the sharp decay of solution and its gradient and also investigate the question of existence of solution

    Personalizing Course Design, Build and Delivery Using PLErify

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    Examining the Role of Poverty in Teacher Grading Decisions

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    Poverty has a significant impact on the education of America’s youth, causing an income achievement gap in American PreK-12 schools.  A large amount of research has been done on poverty’s effect on many aspects of schools, but few studies have addressed poverty’s role on student grades.  A century of grading research has shown that teacher grading practices are rarely an accurate representation of student academic achievement, but rather a construct of unclear meaning containing both objective and subjective factors.  Because these practices are so difficult to understand, several studies have investigated teacher grading decision making to attempt a more analytic assessment of the process that produces these grades.  The purpose of this study was to investigate teachers’ grading decisions and the relationship to school poverty level in order to better understand the effectiveness of teacher grades in high-poverty schools.  Using a causal-comparative design, the study was set in an urban California school district and used a sample of 251 high school teachers from 17 different high schools.  A 35-item survey questionnaire was primarily used to determine the extent to which teachers used 17 different grading practices and were influenced by 13 different grading influences when creating report card grades.  Results showed that teachers in low-poverty schools assigned significantly more A’s than in mid- and high-poverty schools, while most grading practices and grading influences were consistent across school poverty levels.  A discussion includes an interpretation of results within the context of grading literature, including the importance of four grading influences in high-poverty schools: student success, teacher philosophy, school administrators, and student absenteeism.  The study concludes with recommendations for teachers and administrators in high-poverty schools to create and utilize effective report card grades in an effort to address the income achievement gap

    Editors’ Introduction

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    This collection of essays is a response to a challenge that is undoubtedly paradoxical: to introduce in Italy an author who is already known and appreciated by scholars who have encountered his work, and, often, followed his teachings. While the transmission of knowledge has traditionally been through both exoteric and esoteric teachings (the former intended for the general public, and the latter for a small group of researchers), this divide is reproduced constantly through the distinction between ‘institutionalised’ knowledge found even in ‘philosophy manuals’, and the knowledge that animates the research and discussions of researchers. If we keep in mind this distinction, we will undoubtedly better understand the influence and role of the work of Jean Greisch (born in 1942), within the Italian hermeneutical tradition from the second half of the last century. If on the one hand, the work of this philosopher is still not much known to the general public (owing to the lack of Italian translations), on the other hand it is difficult, if not impossible, to meet a scholar in the field of hermeneutical tradition who has not been engaged with at least some of Greisch’s works, and who has not suggested or not recommended their reading to junior researchers interested in acquiring hermeneutical reason. This gradual dissemination of Greisch’s work has led to the building of a growing community of scholars gathered around his work, a community that goes beyond all pretentious ‘Rubicon’ divide between German and French hermeneutics

    Estimation of Displacement Demand for Seismic Design of Bridges with Rocking Shallow Foundations

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    Rocking foundations provide many desirable characteristics for a yielding dynamic system; they are economical, they provide a ductile (energy dissipating) moment limiting hinge, and they have a natural re-centering tendency. In order to take advantage of these characteristics in routine practice, simplified design procedures for bridge systems with rocking foundations are required. Two performance targets for deterministic seismic bridge design are: collapse should not occur during the “Maximum Credible Earthquake”, and, the serviceability of the bridge should not be compromised during smaller events that are expected during the lifetime of the structure (Functional Evaluation Earthquakes). The crux of the design procedure is the estimation of maximum and permanent displacements with rocking foundations. This paper describes a few candidate procedures, including (1) finite element analysis of a soil-foundation-column-deck-abutment system, (2) modeling the deck-column-foundation as a nonlinear single degree of freedom system, and (3) spectral displacement at an appropriate period of the system

    Surgical site infection in benign abdominal gynaecological surgeries

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    Background: Surgical site infection is the commonest complication after gynecological surgeries. Limited studies have been done in India to know the magnitude of the problem. This study aims to know the incidence of surgical site infection, analyze the risk factors and identify the causative organisms.Methods: A prospective observational study .All women who underwent abdominal surgeries for benign pathologies in department of obstetrics and gynecology, Government medical college, Thrissur from April 2016 to March 2017, were included in the study women more than 80 years old, evidence of infection preoperative or within 48 hours of surgery, laparoscopy procedures unless combined with open surgeries and emergency surgeries were excluded.Results: The incidence of SSI was found to be 7.9%. Re suturing had to be done in 24 patients. The risk factors found to be significant were age more than 50 years ,patients with education 30,pre hospital stay >10 days, ASA score >3, duration of surgery >2 hours and peri-operative blood transfusion. Staphylococcus aureus was the most common causative organism and was sensitive to amikacin, vancomycin, cloxacillin and its combinations.Conclusions: SSI pose a significant problem in the post operative period that can affect recovery. It was associated with multiple predisposing factors which could be prevented if these risk factors are identified early and appropriate measures are adopted to support host defense system in the peri operative time.
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