Cosmic ray acceleration at oblique shocks

We show that the diffusion approximation breaks down for particle acceleration at oblique shocks with velocities typical of young supernova remnants. Higher order anisotropies flatten the spectral index at quasi-parallel shocks and steepen the spectral index at quasi-perpendicular shocks. We compare the theory with observed spectral indices.

Dynamics of dark hollow Gaussian laser pulses in relativistic plasma

Optical beams with null central intensity have potential applications in the field of atom optics. The spatial and temporal evolution of a central shadow dark hollow Gaussian (DHG) relativistic laser pulse propagating in a plasma is studied in this article for first principles. A nonlinear Schrodinger-type equation is obtained for the beam spot profile and then solved numerically to investigate the pulse propagation characteristics. As series of numerical simulations are employed to trace the profile of the focused and compressed DHG laser pulse as it propagates through the plasma. The theoretical and simulation results predict that higher-order DHG pulses show smaller divergence as they propagate and, thus, lead to enhanced energy transport. © 2013 American Physical Society.

Encouraging children to think counterfactually enhances blocking in a causal learning task

According to a higher order reasoning account, inferential reasoning processes underpin the widely observed cue competition effect of blocking in causal learning. The inference required for blocking has been described as modus tollens (if p then q, not q therefore not p). Young children are known to have difficulties with this type of inference, but research with adults suggests that this inference is easier if participants think counterfactually. In this study, 100 children (51 five-year-olds and 49 six- to seven-year-olds) were assigned to two types of pretraining groups. The counterfactual group observed demonstrations of cues paired with outcomes and answered questions about what the outcome would have been if the causal status of cues had been different, whereas the factual group answered factual questions about the same demonstrations. Children then completed a causal learning task. Counterfactual pretraining enhanced levels of blocking as well as modus tollens reasoning but only for the younger children. These findings provide new evidence for an important role for inferential reasoning in causal learning.

Selective High Impedance Surface Active Region Loading of Archimedean Spiral Antenna

We show that a significant increase in the gain and front-to-back ratio is obtained when different high impedance surface (HIS) sections are placed below the active regions of an Archimedean spiral antenna. The principle of operation is demonstrated at 3, 6, and 9 GHz for an antenna design that employs a ground plane composed of two dissimilar HISs. The unit cells of the HISs are collocated and resonant at the same frequency as the 3- and 6-GHz active regions of the wideband spiral. It is shown that the former HIS must also be designed to resonate at 9 GHz to avoid the generation of a boresight null that occurs because the structure is physically large enough to support higher-order modes. The improvement that is obtained at each of the three frequencies investigated is shown by comparing the predicted and measured radiation patterns for the free space and HIS-backed antenna.

Predicting invasive species impacts: a community module functional response approach reveals context dependencies

Summary
-Predatory functional responses play integral roles in predator–prey dynamics, and their assessment promises greater understanding and prediction of the predatory impacts of invasive species.
-Other interspecific interactions, however, such as parasitism and higher-order predation, have the potential to modify predator–prey interactions and thus the predictive capability of the comparative functional response approach.
-We used a four-species community module (higher-order predator; focal native or invasive predators; parasites of focal predators; native prey) to compare the predatory functional responses of native Gammarus duebeni celticus and invasive Gammarus pulex amphipods towards three invertebrate prey species (Asellus aquaticus, Simulium spp., Baetis rhodani), thus, quantifying the context dependencies of parasitism and a higher-order fish predator on these functional responses.
-Our functional response experiments demonstrated that the invasive amphipod had a higher predatory impact (lower handling time) on two of three prey species, which reflects patterns of impact observed in the field. The community module also revealed that parasitism had context-dependent influences, for one prey species, with the potential to further reduce the predatory impact of the invasive amphipod or increase the predatory impact of the native amphipod in the presence of a higher-order fish predator.
-Partial consumption of prey was similar for both predators and occurred increasingly in the order A. aquaticus, Simulium spp. and B. rhodani. This was associated with increasing prey densities, but showed no context dependencies with parasitism or higher-order fish predator.
-This study supports the applicability of comparative functional responses as a tool to predict and assess invasive species impacts incorporating multiple context dependencies.

Off-Centre Localisation Performance of Ambisonics and HOA For Large and Small Loudspeaker Array Radii

Ambisonics and Higher Order Ambisonics (HOA) are scalable spatial audio techniques that attempt to present a sound scene to listeners over as large an area as possible. A localisation experiment was carried out to investigate the performance of a first and third order system at three listening positions - one in the centre and two off-centre - using a 5 m radius loudspeaker array. The results are briefly presented and compared to those of an earlier experiment on a 2.2 m loudspeaker array. In both experiments the off-centre listeners were placed such that the ratio of distance from the centre to the array radius was constant in both experiments. The test used a reverse target-pointer adjustment method to determine the error, both signed and absolute, for each combination of listening position and system. The results for both arrays were found to be very similar, suggesting that the relative amplitude of the loudspeakers, which were the same in both cases, was more dominant for localisation than the arrival time differences, which differed between array sizes.

Semi batch learning with store management using enhanced conjugate gradient

This paper explores the performance of sliding-window based training, termed as semi batch, using multilayer perceptron (MLP) neural network in the presence of correlated data. The sliding window training is a form of higher order instantaneous learning strategy without the need of covariance matrix, usually employed for modeling and tracking purposes. Sliding-window framework is implemented to combine the robustness of offline learning algorithms with the ability to track online the underlying process of a function. This paper adopted sliding window training with recent advances in conjugate gradient direction with application of data store management e.g. simple distance measure, angle evaluation and the novel prediction error test. The simulation results show the best convergence performance is gained by using store management techniques. © 2012 Springer-Verlag.

CLUSTER LEED - A VERY FAST METHOD FOR SURFACE-STRUCTURE DETERMINATION

A very fast method, cluster low-energy electron diffraction (LEED) is proposed for LEED I-V spectral analysis, in which three appproximations are introduced: the small-atom approximation, omission of the structure factors, and truncation of higher order ( > 2) scattering events. The method has been tested using a total of four sets of I-V spectra calculated by fully dynamic LEED for (i) the simple overlayer system, O on Ni{100}, and (ii) the reconstructed system, Cu on W{100}, and also one set of experimental data from W{100}-c(2 X 2)-Cu. In each case the correct structural parameters are recovered. It is suggested that for complex systems cluster LEED provides an efficient fast route to trial structures, which could be refined by automated tenser LEED.

Double ionization in R-matrix theory using a two-electron outer region

We have developed a two-electron outer region for use within R-matrix theory to describe double ionisation processes. The capability of this method is demonstrated for single-photon double ionisation of He in the photon energy region between 80 eV to 180 eV. The cross sections are in agreement with established data. The extended RMT method also provides information on higher-order processes, as demonstrated by the identification of signatures for sequential double ionisation processes involving an intermediate He⁺ state with n=2.

Effect of position of near addition in an asymmetric refractive multifocal intraocular lens on quality of vision

Purpose
To evaluate the impact of the position of an asymmetric multifocal near segment on visual quality.

Setting
Cathedral Eye Clinic, Belfast, United Kingdom.

Design
Retrospective comparative case series.

Methods
Data from consecutive patients who had bilateral implantation of the Lentis Mplus LS-312 multifocal intraocular lens were divided into 2 groups. One group received inferonasal near-segment placement and the other, superotemporal near-segment placement. A +3.00 diopter (D) reading addition (add) was used in all eyes. The main outcome measures included uncorrected distance visual acuity (UDVA), uncorrected near visual acuity (UNVA), contrast sensitivity, and quality of vision. Follow-up was 3 months.

Results
Patients ranged in age from 43 to 76 years. The inferonasal group comprised 80 eyes (40 patients) and the superotemporal group, 76 eyes (38 patients). The mean 3-month spherical equivalent was −0.11 D ± 0.49 (SD) in the inferonasal group and −0.18 ± 0.46 D in the superotemporal group. The mean postoperative UDVA was 0.14 ± 0.10 logMAR and 0.18 ± 0.15 logMAR, respectively. The mean monocular UNVA was 0.21 ± 0.14 logRAD and 0.24 ± 0.13 logRAD, respectively. No significant differences were observed in the higher-order aberrations, total Strehl ratio (point-spread function), or modulation transfer function between the groups. Dysphotopic symptoms measured with a validated quality-of-vision questionnaire were not significantly different between groups.

Conclusion
Positioning of the near add did not significantly affect objective or subjective visual function parameters.

Undergraduate Student perceptions of a Restorative Dentistry OSCE

Objectives: The Objective Structured Clinical Exam (OSCE) is a widely accepted assessment method in undergraduate dental education. It aims to test higher order skills, attitudes and aspects of professionalism which other summative assessments such as MCQs and other written examinations are less able to do. The aim of this study was to evaluate the perceptions of 4th year undergraduate dental students of an OSCE undertaken in the Conservation Department.
Methods: On completion of the OSCE examination 51 fourth year undergraduate students were asked to complete an anonymised questionnaire. The questionnaire was made 22 questions, and requiring the students to provide both open and closed responses.
Results: A lot of positive aspects to the OSCE were observed in responses, students felt that the OSCE was a meaningful way for assessing their clinical skills (85%), it reflected real life conditions (79%) and that it was a fair method of assessment (75%).
A number of negative aspects were also noted. Most students felt the OSCE was stressful (72%) and they felt nervous during the examination (77%). Of the undergraduates asked 42% did not feel confident doing the OSCE.
A number of students felt it would be helpful to have additional information given to them on the OSCE prior to the assessment process.
Conclusion: In general the students found the OSCE a fair, meaningful form of assessment which reflected real life clinical situations, providing them with an opportunity to show their clinical knowledge and practical skills. A number study cohort did not feel confident during the OSCE and felt nervous and stressed by the experience. The information gained from the reflective nature of the feedback questionnaire has proved invaluable in the design of subsequent diets of the OSCE examination. 

O desenvolvimento do raciocínio dedutivo ao nível do ensino secundário : recurso a geometrias planas

Este trabalho, no âmbito da Didáctica da Matemática, foca-se no estudo de abordagens alternativas de ensino e aprendizagem da Geometria Euclidiana, no Ensino Secundário, no sentido de promover níveis estruturados do pensamento matemático. Em particular, as potencialidades do recurso a outros modelos de Geometria Plana (e.g. Geometria Hiperbólica, Geometria do Motorista de Táxi) em relação a este problema serão investigadas. A opção pelo Ensino Secundário deve-se ao facto de se tratar de um nível de ensino onde se regista uma elevada taxa de insucesso escolar (especialmente no 10º ano) e onde é notório o abismo existente, entre o ensino Secundário e Universitário, no âmbito do raciocínio lógico - dedutivo. O trabalho a desenvolver pretende aprofundar o estudo de questões ligadas à natureza do conhecimento envolvido que estarão na base de decisões, tais como: Quais os processos que vão ser ensinados? Que processos queremos que os alunos dominem? E, por outro lado, ter em conta que se pretende desenvolver capacidades de ordem superior, significando que o ensino da Matemática deve dirigir-se para níveis elevados de pensamento, tais como: resolução de problemas; comunicar matematicamente; raciocínio e demonstração. No currículo de matemática para o Ensino Básico e Secundário tem-se negligenciado a demonstração matemática, contribuindo para que exista uma desconformidade entre os graus de ensino, secundário e universitário. Muitas vezes as abordagens de ensino centram-se na verificação de resultados e desvalorizam a exploração e explicação (Villiers, 1998). Actualmente, assiste-se a uma tendência para retomar o raciocínio lógico - dedutivo. O principal objectivo desta investigação é analisar ambientes de aprendizagem em que os alunos sejam solicitados a resolver problemas de prova em contextos diversificados e, de uma forma mais geral promover o desenvolvimento do raciocínio dedutivo e uma visão mais alargada do conhecimento matemático. Em particular, a abordagem de problemas de prova num contexto de geometria não Euclidiana, com recurso a artefactos e a software de geometria dinâmica, será investigada.

Calculus of variations on time scales and discrete fractional calculus

Estudamos problemas do cálculo das variações e controlo óptimo no contexto das escalas temporais. Especificamente, obtemos condições necessárias de optimalidade do tipo de Euler–Lagrange tanto para lagrangianos dependendo de derivadas delta de ordem superior como para problemas isoperimétricos. Desenvolvemos também alguns métodos directos que permitem resolver determinadas classes de problemas variacionais através de desigualdades em escalas temporais. No último capítulo apresentamos operadores de diferença fraccionários e propomos um novo cálculo das variações fraccionário em tempo discreto. Obtemos as correspondentes condições necessárias de Euler– Lagrange e Legendre, ilustrando depois a teoria com alguns exemplos.

Espectrometria de massa de macrociclos e dos seus aductos com o ADN

O trabalho de investigação desenvolvido teve como objectivo o estudo por espectrometria de massa com ionização por electrospray de compostos tetrapirrólicos (porfirinas e corróis) e das suas interacções com G-quadruplexes (estruturas de ADN de ordem superior, ricas em guanina). A química em fase gasosa de porfirinas catiónicas e neutras, e de corróis, foi investigada, tendo-se verificado a ocorrência de processos inesperados que foram objecto de um estudo aprofundado: redução das porfirinas catiónicas durante o processo global de electrospray e formação, na câmara de colisões, de aductos dos corróis com moléculas de água, ambos os processos detectados no modo de iões positivos. A redução das porfirinas ocorre através da formação de agregados catião-anião-solvente e catião-solvente-anião e os diferentes tipos de agregados conduzem a diferentes espécies reduzidas. A formação de aductos com água, bem como de outros iões-diagnóstico, permitiu a diferenciação dos isómeros posicionais dos corróis. Este último grupo de compostos foi igualmente estudado no modo de iões negativos. A espectrometria de massa com ionização por electrospray no modo de iões negativos foi também usada no estudo de aductos quadruplex-porfirina. Foi observada a formação de aductos do tipo [Q + nNH4+ + Pp+ -(z+n+p)H+ ]z- (Q=quadruplex, P=porfirina, p=0,1,2,3,4) para todas as porfirinas seleccionadas. A caracterização destes aductos foi efectuada através das suas decomposições induzidas por colisões. Verificou-se que o número de cargas presente nas porfirinas é um factor muito importante na estabilidade dos aductos formados, que aumenta com o aumento do número de cargas. O tipo e tamanho dos grupos substituintes presentes na porfirina não mostraram ter uma influência significativa nos processos de fragmentação. Os resultados obtidos apontam para uma ligação externa porfirina - G-quadruplex, com as porfirinas empilhadas nas extremidades dos quadruplexes.

Symmetric quantum calculus

Generalizamos o cálculo Hahn variacional para problemas do cálculo das variações que envolvem derivadas de ordem superior. Estudamos o cálculo quântico simétrico, nomeadamente o cálculo quântico alpha,beta-simétrico, q-simétrico e Hahn-simétrico. Introduzimos o cálculo quântico simétrico variacional e deduzimos equações do tipo Euler-Lagrange para o cálculo q-simétrico e Hahn simétrico. Definimos a derivada simétrica em escalas temporais e deduzimos algumas das suas propriedades. Finalmente, introduzimos e estudamos o integral diamond que generaliza o integral diamond-alpha das escalas temporais.