The density of critical percolation clusters touching the boundaries of strips and squares

We consider the density of two-dimensional critical percolation clusters, constrained to touch one or both boundaries, in infinite strips, half-infinite strips, and squares, as well as several related quantities for the infinite strip. Our theoretical results follow from conformal field theory, and are compared with high-precision numerical simulation. For example, we show that the density of clusters touching both boundaries of an infinite strip of unit width (i.e. crossing clusters) is proportional to $(\sin \pi y)^{-5/48}\{[\cos(\pi y/2)]^{1/3} +[\sin (\pi y/2)]^{1/3}-1\}$. We also determine numerically contours for the density of clusters crossing squares and long rectangles with open boundaries on the sides, and compare with theory for the density along an edge.Comment: 11 pages, 6 figures. Minor revision

An outside-inside view of exclusive practice within an inclusive mainstream school

This article is a reflection on a sabbatical experience in a mainstream school where an inclusive ethos underpinned the curriculum and environmental approaches for all children. The period as Acting Head teacher raised some challenges for me in reconciling inclusion for all children and the exclusive nature of some professional and physical spaces available to the community of adults working in the school. It has highlighted some development opportunities for the senior management of the school and its governing body

Biology and Ecology of the Atlantic Stingray, Dasyatis sabina (Pisces: Dasyatidae) in North Carolina and Georgia

The seasonality, distribution, ecology, movements, catch per unit effort, breeding season, and length-weight relationships for the Atlantic stingray, Dasyatis sabina, trawled in North Carolina (1973 through 1976) and Georgia (1967 through 1969) are compared and discussed. Occurrences in relation to water temperature, salinity, and oxygen content are also reported and compared with previous literature. Dispelling popular belief, D. sabina throughout its range is a minor numerical component of the fish faunas studied

Is Twitter a Public Sphere for Online Conflicts? A Cross-Ideological and Cross-Hierarchical Look

The rise in popularity of Twitter has led to a debate on its impact on public opinions. The optimists foresee an increase in online participation and democratization due to social media's personal and interactive nature. Cyber-pessimists, on the other hand, explain how social media can lead to selective exposure and can be used as a disguise for those in power to disseminate biased information. To investigate this debate empirically, we evaluate Twitter as a public sphere using four metrics: equality, diversity, reciprocity and quality. Using these measurements, we analyze the communication patterns between individuals of different hierarchical levels and ideologies. We do this within the context of three diverse conflicts: Israel-Palestine, US Democrats-Republicans, and FC Barcelona-Real Madrid. In all cases, we collect data around a central pair of Twitter accounts representing the two main parties. Our results show in a quantitative manner that Twitter is not an ideal public sphere for democratic conversations and that hierarchical effects are part of the reason why it is not.Comment: To appear in the 6th International Conference on Social Informatics (SocInfo 2014), Barcelon

Relationship between cartilage glycosaminoglycan content (assessed with dGEMRIC) and OA risk factors in meniscectomized patients

SummaryObjectiveTo study the relationship between cartilage integrity, assessed with [delayed Gadolinium-Enhanced Magnetic Resonance Imaging of Cartilage (dGEMRIC)] and epidemiologic risk factors for knee osteoarthritis (OA) in meniscectomized patients.MethodsBody mass index (BMI) was calculated in 45 patients (16 women), mean age 46, who underwent an arthroscopic medial meniscectomy 1–6 years earlier. The cartilage glycosaminoglycan (GAG) content was estimated by dGEMRIC Index and tests of isokinetic muscle strength and functional performance (one-leg hop test) were conducted.ResultsBMI ranged from 20.0 to 34.3 (mean: 26.5). The dGEMRIC Index was 14.4% lower in the medial index compartment (374±61ms, mean±SD) than in the lateral reference compartment (437±59ms, mean±SD) (P<0.001).The dGEMRIC Index of the medial diseased compartment correlated positively with both knee flexor (r=0.50, P=0.001) and knee extensor strength (r=0.47, P=0.001) relative to body weight and with the one-leg hop test (r=0.42, P=0.004). Furthermore, a negative correlation was found between the dGEMRIC Index of the medial compartment and BMI (r=−0.35, P=0.019).No significant correlations were found in the lateral reference compartment.ConclusionThe lower dGEMRIC Index of the medial compartment suggests decreased cartilage GAG content after medial meniscectomy, indicating an early stage OA. Furthermore, results suggest that overweight is a factor that deteriorates cartilage, whereas strong and co-ordinated thigh muscles may have a protective effect on the cartilage integrity

Reel Outcomes as Discriminative Stimuli: A Case for Reporting Single Subject Data

While slot machine gambling research in behavior analysis is on the rise, we still have many unanswered questions. Exploring the putative discriminative functions a series of reel outcomes might have on the perceived likelihood of future success (i.e., winning) might prove useful in understanding what motivates gamblers to continue gambling despite losses. In the current study, undergraduate participants watched eight videos of five reel spins each of varying win and loss (including near-miss) outcomes. Participants then provided estimations of the likelihood of winning on five upcoming hypothetical spins. While participants viewed their chances of winning as poor, strategic placement of wins and near misses influenced the probability of winning endorsed. Most importantly, idiosyncratic patterns differed markedly from grouped and overall-averaged data. A call is made to emphasize more single-subject analyses in gambling research