3,228 research outputs found

    Symplectomorphism groups and isotropic skeletons

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    The symplectomorphism group of a 2-dimensional surface is homotopy equivalent to the orbit of a filling system of curves. We give a generalization of this statement to dimension 4. The filling system of curves is replaced by a decomposition of the symplectic 4-manifold (M, omega) into a disjoint union of an isotropic 2-complex L and a disc bundle over a symplectic surface Sigma which is Poincare dual to a multiple of the form omega. We show that then one can recover the homotopy type of the symplectomorphism group of M from the orbit of the pair (L, Sigma). This allows us to compute the homotopy type of certain spaces of Lagrangian submanifolds, for example the space of Lagrangian RP^2 in CP^2 isotopic to the standard one.Comment: Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper21.abs.htm

    Determining Developmental Education Effectiveness in Math

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    One of the most problematic issues facing community colleges is developmental education. In the last decade, more research has been conducted examining developmental education. The purpose of this study was to evaluate the effectiveness of developmental math in a rural community college setting. Is developmental math an effective intervention? This study consisted of first time college students who took the COMPASS placement exam and scored 18-48. Students who scored 18-33 were placed in Math 098 (N=241) and received the developmental intervention. Math 098 is a semester-long course designed to prepare students for college-level math coursework, and it served as the intervention. Students who scored 34-48 were placed in Math 100 (N=469) and did not receive the developmental intervention. Because this represents a bandwidth close to a cut-score, these 2 groups are viewed as equivalent (Trochim, 2008). The initial intent of the study was to implement a regression-discontinuity design, but this failed to meet two necessary conditions. The researcher then executed an ANOVA, a series of chi-square goodnes-ofit procedures, and 2 binary logistic regressions in order to determine if any significant differences and/or relationship existed between treatment and control groups. Data were collected for this retrospective, quantitative research study from the Office of Institutional Effectiveness at the selected site. The selected site represents a medium-sized, rural community college located in the South. The findings in this study illustrate that those students who received the develomental intervention reported a statistically significant higher cummulative college GPAs than those who did not. The findings also illustrated that a statistically significant difference existed in regards to grades. Therefore, there was a statistically significant difference in grade distribution between both groups. When withdrawals and grades were evaluated together, no statistically significant distribution was observed. Two binary logisitic regressions were also conducted. No relationships were statistically significant between groups regarding Math 100 pass/fail rates or Math 100 completion rates. The researcher concluded that the findings suggest that Math 098 is an effective treatment for student achievement. The researcher recommended execution of more studies that replicate this model and examine rural populations

    Privacy Inequality and IT Identities: The Impact of Different Privacy Laws Adoptions

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    Protecting consumers’ personal information is no longer a by-product of business operations. Since 2018, adoption of General Data Protection Regulation (GDPR) Regulation EU 2016/679 has pushed countries to revamp their data privacy laws and regulations. However, many countries are still adopting or lack such privacy laws, leading to an inequality in handling users’ data privacy as a fundamental right. We argue that it is possible for users to develop different IT identities with different IT, based on their salient privacy expectations formed by the place where they are interacting with these IT. We plan to apply a mixed methodology for data collection and data analysis. This research will contribute to the current IS literature in a variety of ways by examining how organizations’ compliance and non-compliance to GDPR, as well as better understanding how countries’ adoption and non-adoption of data protection regulations and privacy laws can generate inequality in organizations’ privacy practices. In addition, the study will extend the established IT Identity theory by examining the impact of the data protection regulations in shaping users’ different IT identities and trust

    Practical measures for reducing phosphorus and faecal microbial loads from onsite wastewater treatment system discharges to the environment:a review

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    Onsite wastewater treatment systems (OWTS), the majority of which are septic tanks, are a contributing factor to phosphorus and faecal microbial loads. OWTS contribute to waterbodies failing to meet Water Framework Directive (WFD) objectives and as such, measures to improve the quality of OWTS discharges are required. Literature has been reviewed for a range of measures designed to reduce phosphorus and pathogen concentrations in effluent from OWTS. A feasibility assessment focussed on their application, effectiveness, efficiency, cost and ease of adaptation. A wide range of measures have been identified that could potentially improve water quality. Results show no one solution could be applied to reduce phosphorus and pathogen loadings to the water environment. The literature suggests that OWTS need to be designed to the local flow and load characteristics of the effluents streams,as well as site specific conditions. With that in mind, measures such as awareness raising, site planning, and maintenance are likely to contribute to reduction of impact of OWTS on the environment. The level of load reduction possible from measures such as awareness raising is difficult to quantify, but it is low-cost and relatively easy to implement. Those most effective for phosphorus and pathogen removal are post-tank measures that maximise physical removal, through adsorption and filtering, and maintain good conditions for biological breakdown of solids and predation of pathogens

    Defining, Understanding and Promoting Cultural Diversity Through the Human Library Program

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    This paper will provide the role of libraries in promoting dialogues to reduce discrimination, share how libraries document human library sessions as a form of oral history, and provide information on the “effect” of human library sessions to readers. This case study documents the human library program as an alternative source of information which promotes cultural diversity to improve many facets of literacies which include media and information literacy. Human library aims to lessen our prejudices and makes us more tolerant individuals. In order to achieve cultural equality and social inclusivity, DLSU Libraries continues to offer human library sessions to form critical thinkers, lifelong learners and catalysts for social transformation. Most readers thought that the most important learning experience they gained while reading the books was to accept and understand each one of us as unique individuals. The human library program encourages people to be more tolerant and embolden acceptance

    Praxis: An Editorial Statement

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    Praxis: An Editorial Statemen
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