Approximately counting semismooth integers

An integer $n$ is $(y,z)$-semismooth if $n=pm$ where $m$ is an integer with all prime divisors $\le y$ and $p$ is 1 or a prime $\le z$. arge quantities of semismooth integers are utilized in modern integer factoring algorithms, such as the number field sieve, that incorporate the so-called large prime variant. Thus, it is useful for factoring practitioners to be able to estimate the value of $\Psi(x,y,z)$, the number of $(y,z)$-semismooth integers up to $x$, so that they can better set algorithm parameters and minimize running times, which could be weeks or months on a cluster supercomputer. In this paper, we explore several algorithms to approximate $\Psi(x,y,z)$ using a generalization of Buchstab's identity with numeric integration.Comment: To appear in ISSAC 2013, Boston M

Sharp asymptotic and finite-sample rates of convergence of empirical measures in Wasserstein distance

The Wasserstein distance between two probability measures on a metric space is a measure of closeness with applications in statistics, probability, and machine learning. In this work, we consider the fundamental question of how quickly the empirical measure obtained from $n$ independent samples from $\mu$ approaches $\mu$ in the Wasserstein distance of any order. We prove sharp asymptotic and finite-sample results for this rate of convergence for general measures on general compact metric spaces. Our finite-sample results show the existence of multi-scale behavior, where measures can exhibit radically different rates of convergence as $n$ grows

Link, Search, Interact: The Co-Evolution of NGOs and Interactive Technology

Interactive technology is a key factor used to explain the recent growth and prominence of NGOs, who today are engaged in the transformation of national, international and transnational political space. Yet technology cannot explain NGOs' rise, for technology is but a context which afford opportunities. We ask what it is that allows NGOs to take advantage of new circumstances, and focus our discussion on the co-evolution of NGOs with interactive technology. Our approach is part of a growing body of social science research that seeks to overcome the artificial divide between "society" and "technology" by viewing the social as consisting of humans and non-humans (objects, things, artifacts). Viewing technology not as a tool but as part of a co-evolutionary process that shapes organizational forms and practices will help us understand why NGOs have, given the opportunities provided by the retrenchment of the welfare state and the end of the cold war, been able to assume a more powerful and controversial role as co-constituents of global transformation

Teacher and Coach Implementation of Writers Workshop in America\u27s Choice Schools, 2001 and 2002

In this report, we follow a line of inquiry that we began in a 2002 Consortium for Policy Research in Education (CPRE) report titled Implementation of the America’s Choice Literacy Workshops. Herein, we examine the implementation of the writers workshop component of America’s Choice, which we consider the core instructional reform of the first year of implementation of the America’s Choice comprehensive school reform design. By conducting structured observations in a random sample of elementary and middle school classrooms in America’s Choice schools across the United States, and applying a rubric that assesses the fidelity of teachers’ implementation of writers workshop, we have produced a measure of implementation of a central component of the design. While our measure of implementation has limitations, it does reveal the degree of teachers’ implementation of the structures of the literacy component of America’s Choice and provides insight into the depth of teachers’ understanding of the larger concepts of the design. In our study, we focus on three particular questions. First, what is the extent of implementation of writers workshop in elementary and middle schools at the end of their first year of America’s Choice? Second, did 2002 teachers achieve higher levels of implementation in their first implementation year than 2001 teachers in their first year of implementation and, if so, could these differences be attributed to improvements in the America’s Choice design? Finally, what is the relationship between the fidelity of literacy coaches’ implementation of writers workshop and teachers’ implementation of writers workshop within the same schools? Through these questions, we seek to document the progress of America’s Choice and point out areas where further refinements might be warranted

Bone Loss During Spaceflight: Available Models and Counter-Measures

There is ongoing concern for human health during spaceflights. Of particular interest is the uncoupling of bone remodeling and its resultant effect on calcium metabolism and bone loss. The calculated average loss of bone mineral density (BMD) is approximately 1-1.5% per month of spaceflight. The effect of decreased BMD on associated fractures in astronauts is not known. Currently on the International Space Station (ISS), bone loss is managed through dietary supplements and modifications and resistance exercise regimen. As the duration of space flights increases, a review of the current methods available for the prevention of bone loss is warranted. The goal of this project is to review and summarize recent studies that have focused on maintaining BMD during exposure to microgravity. Interventions were divided into physical (Table 1), nutritional (Table 2), or pharmacologic (Table 3) categories. Physical modalities included resistance exercise, low level vibration, and low intensity pulsed ultrasound. Nutritional interventions included altering protein, salt, and fat intake; and vitamin D supplementation. Pharmacologic interventions included the use of bisphosphonates and beta blockers. Studies reported outcomes based on bone density determined by DXA bone scan, micro-architecture of histology and microCT, and serum and urine markers of bone turnover. The ground analog models utilized to approximate osseous physiology in microgravity included human patients previously paralyzed or subjects confined to bedrest. Ground analog animal models include paralysis, immobilization and ovariectomies. As a result of the extensive research performed there is a multi-modality approach available for the management of BMD during spaceflight that includes resistance training, nutrition and dietary supplements. However, there is a paucity of literature describing a formalized tiered protocol to guide investigators through the progression from animal models to human patient ground analogs to experiments on the ISS. With regards to testing, further evaluation to determine the association between non-invasive tests and fracture during and after spaceflight needs to be performed

Implementation of the America\u27s Choice Literacy Workshops

Fostering literacy is at the heart of the America’s Choice Comprehensive School Reform Design. Strong reading and writing skills are viewed as cornerstones of successful student performance in all subject areas. The readers and writers workshops, which together we call the literacy workshops, play a central role in moving all children toward high standards of performance. The workshops are designed to provide students with a rich immersion into the numerous skills and habits necessary to become fluent readers and writers. The structures of the literacy workshops are intended to facilitate teachers’ analyses of student skills (as represented by their work) in relation to external standards for performance and to help them to provide students with repeated opportunities to develop the skills necessary to produce work that meets the standards. To effectively teach using the workshop structures requires teachers to adopt a series of specified classroom structures and pedagogical strategies. This report examines the implementation of the literacy workshops in America’s Choice classrooms across the United States. The results are based upon data collected from observations and interviews with a random sample of 42 elementary and middle school teachers in 23 America’s Choice schools during the 2000-2001 school year. At the time of our fieldwork, the schools were either at the end of their first or second year implementing America’s Choice. Our analyses focus on two areas: teachers’ fidelity to the structures of the literacy workshops and their depth of understanding of the instructional philosophy and techniques upon which the workshops are based

The Use of Structured Imagery and Dispositional Measurement to Assess Situational Use of Mindfulness Skills

The recent proliferation of studies on mindfulness produced varying theoretical models, each based in part on how mindfulness is assessed. These models agree, however, that mindfulness encompasses moment-to-moment or situational experiences. Incongruence between dispositional and situational assessment would be problematic for theory and empirical research. In particular, it remains to be established whether situational measurement is an accurate method for mindfulness assessment and whether dispositional measures are able to accurately detect mindfulness skills in various situations. The association between dispositional and situational mindfulness processes (i.e., situational attention awareness and emotion acceptance) was examined in two studies. In Study 1 (N = 148), independent groups who reported high and low levels of dispositional mindfulness skills were compared on a continuous measure of situational mindfulness skills. In Study 2 (N = 317), dispositional mindfulness questionnaires were used to predict situational use of mindfulness skills. Results suggest not only that situational measures accurately detect use of mindfulness skills, but also that dispositional measures can predict one\u27s use of situational mindfulness skills. Findings from both studies were consistent across both positive and negative situations. Moreover, neither neuroticism nor extraversion was shown to have a moderating effect on the relationship between dispositional and situational use of mindfulness skills. The implications of these findings for clinical practice and future investigations pertaining to measurement validity in this area are discussed