Error term improvements for van der Corput transforms

We improve the error term in the van der Corput transform for exponential sums \sum_{a \le n \le b} g(n) exp(2\pi i f(n)). For many functions g and f, we can extract the next term in the asymptotic, showing that previous results, such as those of Karatsuba and Korolev, are sharp. Of particular note, the methods of this paper avoid the use of the truncated Poisson formula, and thus can be applied to much longer intervals [a,b] with far better results. We provide a detailed analysis of the error term in the case g(x)=1 and f(x)=(x/3)^{3/2}.Comment: 72 pages, 10 figure

Excellence in Agronomy - TRANSFORM work package. Useful resources: data management, analytics & modelling

List of resources available through the TRANSFORM Work Package of the Excellence in Agronomy Initiative along with URL to access those resources

Competing Ideas of Social Justice and Space: Locating Critiques of Housing Renewal in Theory and in Practice

This article considers the experience of the English government's policy of Housing Market Renewal from the perspective of spatial justice. The paper first proposes an analytical framework that situates competing notions of territorial social justice within a space of complex sociospatial relations. The dialectic of two formulations of social justice is first set up, comparing 'procedural' or deontological forms of justice and the distributional justice of outcomes. Soja's formulation of spatial justice is advanced as an appropriate balance between spatial and socio-historic contexts for the justice question. Drawing on the literature on sociospatial relations, concrete critiques and justifications of HMR are then positioned in terms of the intersection of structuring principles and policy fields. The role of demolition in urban restructuring programmes is used to explore the differential spatialities involved in different justicial perspectives. It is concluded that 'gentrification' critiques of HMR are only partial in their evaluation of justice and lack normative power. Some practical implications for the design of urban restructuring policies are offered

The UN Ocean Conference Regional Preparatory Meeting and Its Implications for Pacific Islands Countries: Some Observations

AusAI

Facilitating Web-Based Collaboration in Evidence Synthesis (TaskExchange): Development and Analysis

Background: The conduct and publication of scientific research are increasingly open and collaborative. There is growing interest in Web-based platforms that can effectively enable global, multidisciplinary scientific teams and foster networks of scientists in areas of shared research interest. Designed to facilitate Web-based collaboration in research evidence synthesis, TaskExchange highlights the potential of these kinds of platforms.// Objective: This paper describes the development, growth, and future of TaskExchange, a Web-based platform facilitating collaboration in research evidence synthesis.// Methods: The original purpose of TaskExchange was to create a platform that connected people who needed help with their Cochrane systematic reviews (rigorous syntheses of health research) with people who had the time and expertise to help. The scope of TaskExchange has now been expanded to include other evidence synthesis tasks, including guideline development. The development of TaskExchange was initially undertaken in 5 agile development phases with substantial user engagement. In each phase, software was iteratively deployed as it was developed and tested, enabling close cycles of development and refinement.// Results: TaskExchange enables users to browse and search tasks and members by keyword or nested filters, post and respond to tasks, sign up to notification emails, and acknowledge the work of TaskExchange members. The pilot platform has been open access since August 2016, has over 2300 members, and has hosted more than 630 tasks, covering a wide range of research synthesis-related tasks. Response rates are consistently over 75%, and user feedback has been positive.// Conclusions: TaskExchange demonstrates the potential for new technologies to support Web-based collaboration in health research. Development of a relatively simple platform for peer-to-peer exchange has provided opportunities for systematic reviewers to get their reviews completed more quickly and provides an effective pathway for people to join the global health evidence community