On some Finite-Dimensional Representations of Artin Braid Group

Валентин В. Илиев - Авторът изучава някои хомоморфни образи G на групата на Артин на плитките върху n нишки в крайни симетрични групи. Получените пермутационни групи G са разширения на симетричната група върху n букви чрез подходяща абелева група. Разширенията G зависят от един целочислен параметър q ≥ 1 и се разцепват тогава и само тогава, когато 4 не дели q. В случая на нечетно q са намерени всички крайномерни неприводими представяния на G, а те от своя страна генерират безкрайна редица от неприводими представяния на групата на плитките.

Windowed-Wigner Representations, Interferences and Operators

2010 Mathematics Subject Classification: 42B10, 47A07, 35S05.

Integral Representations of Functional Series with Members Containing Jacobi Polynomials

MSC 2010: Primary 33C45, 40A30; Secondary 26D07, 40C10

Developing a tool to support communication of parental concerns when a child is in hospital

The involvement of parents in their child’s hospital care has been strongly advocated in paediatric healthcare policy and practice. However, incorporating parental worries about their child’s condition into clinical care can be difficult for both parents and healthcare professionals. Through our “Listening To You” quality improvement project we developed and piloted an innovative approach to listening, incorporating and responding to parental concerns regarding their child’s condition when in hospital. Here we describe the phases of work undertaken to develop our “Listening To You” communications bundle, including a survey, literature review and consultation with parents and staff, before findings from the project evaluation are presented and discussed.

Parental self-efficacy in managing food allergy and mental health predicts food allergy related quality of life

BACKGROUND: Food allergy has been shown to have a significant impact on quality of life (QoL) and can be difficult to manage in order to avoid potentially life threatening reactions. Parental self-efficacy (confidence) in managing food allergy for their child might explain variations in QoL. This study aimed to examine whether self-efficacy in parents of food allergic children was a good predictor of QoL of the family. METHODS: Parents of children with clinically diagnosed food allergy completed the Food Allergy Self-Efficacy Scale for Parents (FASE-P), the Food Allergy Quality of Life Parental Burden Scale (FAQL-PB), the GHQ-12 (to measure mental health) and the Food Allergy Independent Measure (FAIM), which measures perceived likelihood of a severe allergic reaction. RESULTS: A total of 434 parents took part. Greater parental QoL was significantly related to greater self-efficacy for food allergy management, better mental health, lower perceived likelihood of a severe reaction, older age in parent and child and fewer number of allergies (all p<0.05). Food allergy self-efficacy explained more of the variance in QoL than any other variable and self-efficacy related to management of social activities and precaution and prevention of an allergic reaction appeared to be the most important aspects. CONCLUSIONS: Parental self-efficacy in management of a child's food allergy is important and is associated with better parental QoL. It would be useful to measure self-efficacy at visits to allergy clinic in order to focus support; interventions to improve self-efficacy in parents of food allergic children should be explored. This article is protected by copyright. All rights reserved.

Eating behaviours of preadolescent children over time:stability, continuity and the moderating role of perceived parental feeding practices

The links between childhood eating behaviours and parental feeding practices are well-established in younger children, but there is a lack of research examining these variables in a preadolescent age group, particularly from the child's perspective, and longitudinally. This study firstly aimed to examine the continuity and stability of preadolescent perceptions of their parents' controlling feeding practices (pressure to eat and restriction) over a 12 month period. The second aim was to explore if perceptions of parental feeding practices moderated the relationship between preadolescents' eating behaviours longitudinally. Two hundred and twenty nine preadolescents (mean age at recruitment 8.73 years) completed questionnaires assessing their eating behaviours and their perceptions of parental feeding practices at two time points, 12 months apart (T1 and T2). Preadolescents' perceptions of their parental feeding practices remained stable. Perceptions of restriction and pressure to eat were continuous. Perceptions of parental pressure to eat and restriction significantly moderated the relationships between eating behaviours at T1 and T2. The findings from this study suggest that in a preadolescent population, perceptions of parental pressure to eat and restriction of food may exacerbate the development of problematic eating behaviours.

To move or not to move, that is the question! Body schema and non-action oriented body representations:an fMRI meta-analytic study

Many studies have attempted to identify the different cognitive components of body representation (BR). Due to methodological issues, the data reported in these studies are often confusing. Here we summarize the fMRI data from previous studies and explore the possibility of a neural segregation between BR supporting actions (body-schema, BS) or not (non-oriented-to-action-body-representation, NA). We performed a general activation likelihood estimation meta-analysis of 59 fMRI experiments and two individual meta-analyses to identify the neural substrates of different BR. Body processing involves a wide network of areas in occipital, parietal, frontal and temporal lobes. NA selectively activates the somatosensory primary cortex and the supramarginal gyrus. BS involves the primary motor area and the right extrastriate body area. Our data suggest that motor information and recognition of body parts are fundamental to build BS. Instead, sensory information and processing of the egocentric perspective are more important for NA. In conclusion, our results strongly support the idea that different and segregated neural substrates are involved in body representations orient or not to actions.

Resisting the final word:challenging stale media and policy representations of students’ performative technological encounters in university education

This article explores powerful, constraining representations of encounters between digital technologies and the bodies of students and teachers, using corpus-based Critical Discourse Analysis (CDA). It discusses examples from a corpus of UK Higher Education (HE) policy documents, and considers how confronting such documents may strengthen arguments from educators against narrow representations of an automatically enhanced learning. Examples reveal that a promise of enhanced ‘student experience’ through information and communication technologies internalizes the ideological constructs of technology and policy makers, to reinforce a primary logic of exchange value. The identified dominant discursive patterns are closely linked to the Californian ideology. By exposing these texts, they provide a form of ‘linguistic resistance’ for educators to disrupt powerful processes that serve the interests of a neoliberal social imaginary. To mine this current crisis of education, the authors introduce productive links between a Networked Learning approach and a posthumanist perspective. The Networked Learning approach emphasises conscious choices between political alternatives, which in turn could help us reconsider ways we write about digital technologies in policy. Then, based on the works of Haraway, Hayles, and Wark, a posthumanist perspective places human digital learning encounters at the juncture of non-humans and politics. Connections between the Networked Learning approach and the posthumanist perspective are necessary in order to replace a discourse of (mis)representations with a more performative view towards the digital human body, which then becomes situated at the centre of teaching and learning. In practice, however, establishing these connections is much more complex than resorting to the typically straightforward common sense discourse encountered in the Critical Discourse Analysis, and this may yet limit practical applications of this research in policy making.

Learning user and product distributed representations using a sequence model for sentiment analysis

In product reviews, it is observed that the distribution of polarity ratings over reviews written by different users or evaluated based on different products are often skewed in the real world. As such, incorporating user and product information would be helpful for the task of sentiment classification of reviews. However, existing approaches ignored the temporal nature of reviews posted by the same user or evaluated on the same product. We argue that the temporal relations of reviews might be potentially useful for learning user and product embedding and thus propose employing a sequence model to embed these temporal relations into user and product representations so as to improve the performance of document-level sentiment analysis. Specifically, we first learn a distributed representation of each review by a one-dimensional convolutional neural network. Then, taking these representations as pretrained vectors, we use a recurrent neural network with gated recurrent units to learn distributed representations of users and products. Finally, we feed the user, product and review representations into a machine learning classifier for sentiment classification. Our approach has been evaluated on three large-scale review datasets from the IMDB and Yelp. Experimental results show that: (1) sequence modeling for the purposes of distributed user and product representation learning can improve the performance of document-level sentiment classification; (2) the proposed approach achieves state-of-The-Art results on these benchmark datasets.

A study of the relationship between parental self-efficacy and indicators of school involvement exhibited by Hispanic parents of elementary school children

The purpose of this study was to examine the relationship between Hispanic parents' sense of self-efficacy at various degrees of acculturation to the United States and specific indicators of school involvement in their elementary school children's education. It assessed the effects of acculturation on the level of parental self-efficacy and their degree of school involvement. The theoretical framework guiding this investigation was Bandura's theory of self-efficacy which advocates that the amount of effort a person devotes to the accomplishment of a specific outcome is related to a person's beliefs in their capabilities regardless of actual competencies.^ The research method involved a correlational design measuring levels of parental self-efficacy, acculturation, degree of school involvement and related demographic characteristics. Multiple regression analysis was performed to determine the degree of relationships existing between the predictor variables of self-efficacy and level of acculturation, and level of school involvement. The data was subjected to a path analysis to test the validity of the causal model advanced in this study specifying a positive relationship between the constructs of acculturation, parental self-efficacy and level of school involvement.^ A total of 109 Hispanic parents of students enrolled in five elementary public schools in Dade County, Florida, were selected for participation in the study. Results revealed a significant positive correlation r =.23, p $<$.05 between level of parental self-efficacy and number of hours parents spent helping their children with homework. A statistically significant positive correlation was found between acculturation and level of self-efficacy r =.21, p $<$.05. Statistically significant positive correlations were also found between acculturation and such indicators of parental school involvement as participation in parent-teacher conferences r =.20, p $<$.05, volunteering at school, r =.22, p $<$.05, attendance at school sponsored sports activities r =.26, p $<$.01, and volunteering in field-trips r =.28, p $<$.01.^ The multiple regression analysis equation predicting level of homework assistance provided by parents and self-efficacy was statistically significant, F(2,106) = 3.59, p $<$.03. The beta weights revealed that self-efficacy contributed the most to the prediction of homework assistance by parents, B =.258, p $<$.009. In turn, the variable of acculturation was the most significant predictor of number of school based parent involvement activities, B =.281, p $<$.05 level. The path analysis confirmed the results obtained in the multiple regression analyses, establishing self-efficacy as having a direct effect on the level of homework assistance provided by parents. Conversely, the variable of acculturation had a direct effect on the number of school based parent involvement activities. ^

The influence of weak parental and peer attachment on academic achievement among late adolescent college students

The current study examined the influence of weak parental and peer attachment on academic achievement among late adolescent college students. In previous research, weak attachment to parents and/or peers had been found to have an adverse influence on the academic success of college students. This study also examined the potential moderating influence of several cognitive and non-cognitive psychosocial variables that might act as protective factors for weakly attached students and, therefore, enhance their academic competence. Data regarding attachment, cognitive variables, and non-cognitive variables were collected using several self-report measures. The multi-ethnic sample of students in this study (n = 357) attended an urban university. Students were classified into one of nine parental-peer attachment groups (e.g., Low-Low, Medium-Medium, High-High). Attachment groups were compared in terms of cognitive and non-cognitive variables. Contrary to the hypothesis, no statistically significant academic achievement differences were revealed for the group of college students who perceived themselves to be weakly attached to both parents and peers. Analysis of variance (ANOVA) identified the High-High group to be significantly different in terms of academic outcome variables from the other eight groups while the Low-Low group had significantly lower levels of non-cognitive variables than several of the other attachment groups. Hierarchical multiple regression analyses revealed that cognitive variables accounted for significant amounts of variance in academic outcomes and that several non-cognitive variables were significant predictors of scholastic competence. Correlational analyses revealed that parental and peer attachment were positively correlated with several cognitive and non-cognitive variables but neither was significantly correlated with self-reported college GPA. In general, the findings do not provide support for a main effect of weak attachment to parents and peers upon academic adversity among college students. Results suggest that both cognitive variables and non-cognitive variables may moderate academic risk due to weak attachment to parents and peers. Descriptive within group analyses of the Low-Low group revealed a heterogeneous group of students with regards to academic outcomes and scores on non-cognitive measures. Gender and ethnic differences were found for attachment status but not for cognitive or non-cognitive variables. Implications for interventions and suggestions for future research are presented. ^

An examination of parental opinions regarding the inclusion of disabled students in regular education classes

This study investigated the opinions regarding inclusion of parents of both disabled and nondisabled elementary children from a large suburban county. An opinion survey combining Wilczenski's Attitudes Toward Inclusive Education Scale with additional questions was distributed to 1170 children from 24 schools. Three research questions focused on differences between mean parental responses as they related to the inclusion and disability status of the parent's child. Results from the 270 respondents indicated that parents with disabled children had more favorable opinions about inclusion than did those with nondisabled children. Parents with included children were more favorable toward inclusion than were parents whose children were not included. Parents with included disabled children were more accepting of inclusion than were those with nondisabled children in inclusive settings. Parents' answers differed depending on the type of disability being included. Regardless of their child's disability or inclusion status, the ranking for disability types from most acceptable for inclusion to least acceptable were: social, sensory, motor, academic and behavioral. Results across types of questions, including questions relating to acceptance and general inclusion issues, indicated consistently more favorable opinions of parents with disabled children, included children and disabled children in inclusive classes. Two additional research questions examined parental responses as they related to demographic characteristics of the parents and of the schools their children attended. Analysis of Variance found only one significant main effect for any parental demographic variable. This difference was for the number of parents' elementary children when comparing parents with and without disabled children. The only significant main effects of demographics of schools the parents' children attended were for the area of the county and for schools with differing percentages of severely disabled students when comparing responses of parents with disabled and nondisabled children. For all research questions, tests indicated low effect sizes and moderate to high power levels. These results, and the fact that means for all groups were in the middle range of response choices, indicate that there may be little practical significance to the overall results. Further studies should investigate the trends found in this study. ^

Parental behaviors in child anxiety: An observational study

The increasing awareness of the prevalence, impairment, and long-term consequences of childhood anxiety disorders have led investigators to explore psychosocial factors in the etiology of these disorders. Recent investigations have begun to focus on family-level processes in the etiology and/or maintenance of childhood anxiety disorders, specifically patterns of parent-child interaction. The present study compared parent-child interactions across three problem-solving tasks of clinically anxious children and their mothers versus non-referred children and their mothers in terms of (1) direct observation measures, (2) children's, mothers', and independent observer's subjective ratings, (3) and children's evaluations using videotape-aided thought reconstruction. ^ Results suggested that the mothers of clinically anxious children engaged in fewer positive and more negative parenting strategies as compared to the mothers of non-referred children across three tasks. Although not significant, trends were evident among the subjective ratings reported by the clinically anxious children, mothers, and observer for the global perception indices. When videotape-aided thought reconstruction was used as a cue to elicit children's perceptions of the parent-child interactions, clinically anxious children reported less mother-referent positive statements and more mother-referent negative statements than non-referred children. ^

Parental involvement: Its relation to achievement in a multiethnic sample of newly immigrated students

The current study examined how parental involvement is related to the academic adaptation and performance of a multiethnic sample of newly immigrant students from South America and the Caribbean---Argentina, Colombia, Cuba, Haiti, and English-speaking Caribbean countries. Six hundred twenty-two participants attending elementary, middle and high school in Miami-Dade and Broward Counties were interviewed during two consecutive years at their respective schools. Parents completed surveys at home and returned them by mail. ^ Three forms of parent involvement were chosen as predictor variables---(1) parental contact and communication with school, (2) parental monitoring of children's school-related activities at home, and (3) parental expectations regarding children's academic achievement. Academic performance indicators obtained from school records were students' grade point averages for math and reading (GPA), FCAT-SSS (Florida Comprehensive Assessment Test-Sunshine State Standards) scores, and FCAT-NRT (Norm Referenced Test) scores. Hypotheses were (a) that the forms of parent involvement would differ across the different cultural groups and (b) that parent involvement would relate to students' achievement, regardless of the specific form of involvement. ^ Results indicated that Cuban and Colombian parents differed significantly in terms of monitoring school-related activities of their children and had higher expectations for their children than Haitian, West-Indian, or Argentinean parents. Cuban parents were more likely to be actively engaged in communication with their children's schools than parents of the other ethnic groups. Multiple regression analyses indicated that the three forms of parent involvement accounted for a significant proportion of GPA and FCAT-SSS scores, after controlling for the effects of demographic variables---grade level, gender, and ethnicity. Given interactions of the parent involvement variables by country of origin for GPA, separate analyses indicated that parent involvement appeared to be most effective for Cubans and West Indians. Results are discussed in terms of the need for experimental intervention studies to identify causal relationships between parent involvement and academic achievement. ^