Data analysis and software support for the Earth radiation budget experiment

Computer programming and data analysis efforts were performed in support of the Earth Radiation Budget Experiment (ERBE) at NASA/Langley. A brief description of the ERBE followed by sections describing software development and data analysis for both prelaunch and postlaunch instrument data are presented

HALOE test and evaluation software

Computer programming, system development and analysis efforts during this contract were carried out in support of the Halogen Occultation Experiment (HALOE) at NASA/Langley. Support in the major areas of data acquisition and monitoring, data reduction and system development are described along with a brief explanation of the HALOE project. Documented listings of major software are located in the appendix

Relationships between class size and teaching: a multi-method analysis of English infant schools

Research and debate on class size differences has focused on relations with achievement, and there is little relevant research on what mediating classroom processes might be involved. In this article we investigate connections between class size and teaching interactions. We adopt a multimethod approach, integrating qualitative in formation from teachers' end-of-year accounts and data from case studies with quantitative information from time-allocation estimates and systematic observations. Our data come from a longitudinal study of two cohorts of more than 10,000 children altogether for 3 years after enrollment in English infant schools (aged 4-7 years). Our results show, overall, that in smaller classes there is more individualized teacher support for learning. We interpret the results in the context of teacher time allocation, research on effective teaching, and post-Vygotskian approaches to teaching. It is suggested that direct models of teacher influences on pupils need to be adapted to allow for class size as a contextual factor that influences both teachers and pupils

Class size, pupil attentiveness and peer relations

BACKGROUND: Despite a long-running debate over the effects of class size differences on educational performance there is little evidence on the classroom processes that might be involved. AIMS: The effects of class size differences are examined in relation to social and behavioural adjustment to school, in terms of two dimensions: attentiveness and peer relations. It was predicted that as class size increased there would be more inattentiveness in class and more signs of social difficulties between children in the form of more rejection, asocial, anxious and aggressive behaviour, and less prosocial behaviour. SAMPLES: Data came from a large-scale longitudinal study of children over KS1 (4-7 years). The observation study was based on a subsample of 235 children in 21 small (average 19 children) and 18 large (average 33 children) reception classes (aged 5 years). The PBR sample involved over 5,000. METHODS: There were two complementary methods of data collection: first, a systematic observation study of pre-selected target children in terms of three 'social modes' - when with their teachers, other children and when not interacting - and in terms of work, procedural, social and off-task activities; and, second, a teacher administered Pupil Behaviour Rating (PBR) scale comprising over 50 items rated on a 3-point scale grouped into six 'factors': hyperactive/distractible, aggressive, anxious/ fearful, prosocial, asocial, and excluded. RESULTS: Observations showed that children in large classes were more likely to show off-task behaviour of all kinds, and more likely to interact with their peers in terms of off-task behaviour, social, and also on-task behaviours. Connections between class size and PBR factors were not strong. There was no support for the view that peer relations are better in smaller classes; indeed, there was a slight tendency for worse peer relations, in terms of aggression, asocial and excluded, in the smallest classes. CONCLUSIONS: There was confirmation that children in large classes are more distracted from work and more often off task. The unexpected result, based on teacher ratings, that small classes may lead to less social and more aggressive relations between children is discussed, along with implications for teachers of a tendency for more peer-related contacts in large classes

Angular-planar CMB power spectrum

Gaussianity and statistical isotropy of the Universe are modern cosmology's minimal set of hypotheses. In this work we introduce a new statistical test to detect observational deviations from this minimal set. By defining the temperature correlation function over the whole celestial sphere, we are able to independently quantify both angular and planar dependence (modulations) of the CMB temperature power spectrum over different slices of this sphere. Given that planar dependence leads to further modulations of the usual angular power spectrum $C_l$, this test can potentially reveal richer structures in the morphology of the primordial temperature field. We have also constructed an unbiased estimator for this angular-planar power spectrum which naturally generalizes the estimator for the usual $C_l$'s. With the help of a chi-square analysis, we have used this estimator to search for observational deviations of statistical isotropy in WMAP's 5 year release data set (ILC5), where we found only slight anomalies on the angular scales $l=7$ and $l=8$. Since this angular-planar statistic is model-independent, it is ideal to employ in searches of statistical anisotropy (e.g., contaminations from the galactic plane) and to characterize non-Gaussianities.Comment: Replaced to match the published version. Journal-ref: Phys.Rev. D80 063525 (2009

Hypergraphic LP Relaxations for Steiner Trees

We investigate hypergraphic LP relaxations for the Steiner tree problem, primarily the partition LP relaxation introduced by Koenemann et al. [Math. Programming, 2009]. Specifically, we are interested in proving upper bounds on the integrality gap of this LP, and studying its relation to other linear relaxations. Our results are the following. Structural results: We extend the technique of uncrossing, usually applied to families of sets, to families of partitions. As a consequence we show that any basic feasible solution to the partition LP formulation has sparse support. Although the number of variables could be exponential, the number of positive variables is at most the number of terminals. Relations with other relaxations: We show the equivalence of the partition LP relaxation with other known hypergraphic relaxations. We also show that these hypergraphic relaxations are equivalent to the well studied bidirected cut relaxation, if the instance is quasibipartite. Integrality gap upper bounds: We show an upper bound of sqrt(3) ~ 1.729 on the integrality gap of these hypergraph relaxations in general graphs. In the special case of uniformly quasibipartite instances, we show an improved upper bound of 73/60 ~ 1.216. By our equivalence theorem, the latter result implies an improved upper bound for the bidirected cut relaxation as well.Comment: Revised full version; a shorter version will appear at IPCO 2010

High Resolution X-ray Imaging of a Globular Cluster Core: Compact Binaries in 47Tuc

We have obtained high resolution (<1") deep x-ray images of the globular cluster 47Tucanae (NGC 104) with the Chandra X-ray Observatory to study the population of compact binaries in the high stellar density core. A 70 kilosec exposure of the cluster reveals a centrally concentrated population of faint (Lx ~10^{30-33} erg/s) x-ray sources, with at least 108 located within the central 2arcmin X 2.5arcmin and at least half with Lx <10^{30.5} erg/s. All 15 millisecond pulsars (MSPs) recently located precisely by radio observations are identified, though two are unresolved by Chandra. The x-ray spectral and temporal characteristics, as well as initial optical identifications with the Hubble Space Telescope, suggest that >~50% are millisecond pulsars, ~30% are accreting white dwarfs, ~15% are main sequence binaries in flare outbursts and only 2 to 3 are quiescent low mass x-ray binaries containing neutron stars, the conventional progenitors of MSPs. An approximate upper limit of ~470Msun for the mass of an accreting central black hole in the cluster is derived. These observations provide the first x-ray "color-magnitude" diagram for a globular cluster and census of its compact object and binary population.Comment: 19 pages, 7 figures, 1 table (as supplementary file). Published online in Science Express on May 17, 2001 (reference: 10.1126/science.1061135). To appear in Science (print version) in late June, 200

A method for visualising possible contexts

This paper presents a method for visualising possible sequences of information. Possible sequences of information segments, called contexts, scenarios, narratives, or story tellings, have been used as a tool for exploring and stimulating thinking about possible events, assumptions relating to these events, and courses of actions, i.e. chances for a broad range of information designers from public audiences searching on the internet to analysts and policy makers. Thanks to the search technology, it has become easier to obtain information that a person is looking for, however, it is a laborious task to grab an overview of information space so that an information designer can find contextually relevant information pieces and sequence them into contextually meaningful ways. In this research, we design and develop a series of generative systems that visualises possible contexts. © Springer-Verlag Berlin Heidelberg 2007

Implementation of optimal phase-covariant cloning machines

The optimal phase covariant cloning machine (PQCM) broadcasts the information associated to an input qubit into a multi-qubit systems, exploiting a partial a-priori knowledge of the input state. This additional a priori information leads to a higher fidelity than for the universal cloning. The present article first analyzes different experimental schemes to implement the 1->3 PQCM. The method is then generalized to any 1->M machine for odd value of M by a theoretical approach based on the general angular momentum formalism. Finally different experimental schemes based either on linear or non-linear methods and valid for single photon polarization encoded qubits are discussed.Comment: 7 pages, 3 figure

Quantum computing with nearest neighbor interactions and error rates over 1%

Large-scale quantum computation will only be achieved if experimentally implementable quantum error correction procedures are devised that can tolerate experimentally achievable error rates. We describe a quantum error correction procedure that requires only a 2-D square lattice of qubits that can interact with their nearest neighbors, yet can tolerate quantum gate error rates over 1%. The precise maximum tolerable error rate depends on the error model, and we calculate values in the range 1.1--1.4% for various physically reasonable models. Even the lowest value represents the highest threshold error rate calculated to date in a geometrically constrained setting, and a 50% improvement over the previous record.Comment: 4 pages, 8 figure