Adjoint modular Galois representations and their Selmer groups

In the last 15 years, many class number formulas and main conjectures have been proven. Here, we discuss such formulas on the Selmer groups of the three-dimensional adjoint representation ad(φ) of a two-dimensional modular Galois representation φ. We start with the p-adic Galois representation φ0 of a modular elliptic curve E and present a formula expressing in terms of L(1, ad(φ0)) the intersection number of the elliptic curve E and the complementary abelian variety inside the Jacobian of the modular curve. Then we explain how one can deduce a formula for the order of the Selmer group Sel(ad(φ0)) from the proof of Wiles of the Shimura–Taniyama conjecture. After that, we generalize the formula in an Iwasawa theoretic setting of one and two variables. Here the first variable, T, is the weight variable of the universal p-ordinary Hecke algebra, and the second variable is the cyclotomic variable S. In the one-variable case, we let φ denote the p-ordinary Galois representation with values in GL2(Zp[[T]]) lifting φ0, and the characteristic power series of the Selmer group Sel(ad(φ)) is given by a p-adic L-function interpolating L(1, ad(φk)) for weight k + 2 specialization φk of φ. In the two-variable case, we state a main conjecture on the characteristic power series in Zp[[T, S]] of Sel(ad(φ) ⊗ ν−1), where ν is the universal cyclotomic character with values in Zp[[S]]. Finally, we describe our recent results toward the proof of the conjecture and a possible strategy of proving the main conjecture using p-adic Siegel modular forms.

Deforming semistable Galois representations

Let V be a p-adic representation of Gal(Q̄/Q). One of the ideas of Wiles’s proof of FLT is that, if V is the representation associated to a suitable autromorphic form (a modular form in his case) and if V′ is another p-adic representation of Gal(Q̄/Q) “closed enough” to V, then V′ is also associated to an automorphic form. In this paper we discuss which kind of local condition at p one should require on V and V′ in order to be able to extend this part of Wiles’s methods.

Integrality of Tate-cycles

We explain a technical result about p-adic cohomology and apply it to the study of Shimura varieties. The technical result applies to algebraic varieties with torsion-free cohomology, but for simplicity we only treat abelian varieties.

Memoir of the early life of William Cowper, Esq /

"Dissuasives against self-murder."--p. 171-173.

Improvement in measures of psychological distress amongst amphetamine misusers treated with brief cognitive-behavioural therapy (CBT)

This trial of cognitive-behavioural therapy (CBT) based amphetamine abstinence program (n = 507) focused on refusal self-efficacy, improved coping, improved problem solving and planning for relapse prevention. Measures included the Severity of Dependence Scale (SDS), the General Health Questionnaire-28 (GHQ-28) and Amphetamine Refusal Self-Efficacy. Psychiatric case identification (caseness) across the four GHQ-28 sub-scales was compared with Australian normative data. Almost 90% were amphetamine-dependent (SDS 8.15 +/- 3.17). Pretreatment, all GHQ-28 sub-scale measures were below reported Australian population values. Caseness was substantially higher than Australian normative values {Somatic Symptoms (52.3%), Anxiety (68%), Social Dysfunction (46.5%) and Depression (33.7%). One hundred and sixty-eight subjects (33%) completed and reported program abstinence. Program completers reported improvement across all GHQ-28 sub-scales Somatic Symptoms (p < 0.001), Anxiety (p < 0.001), Social Dysfunction (p < 0.001) and Depression (p < 0.001)}. They also reported improvement in amphetamine refusal self-efficacy (p < 0.001). Improvement remained significant following intention-to-treat analyses, imputing baseline data for subjects that withdrew from the program. The GHQ-28 sub-scales, Amphetamine Refusal Self-Efficacy Questionnaire and the SDS successfully predicted treatment compliance through a discriminant analysis function (p

Do tinted spectacle lens wearers have a different personality?

The wearing of tinted spectacle lenses is considered by some health care workers to be a marker of psychopathology or a hypochondriacal personality type. The purpose of this study was to determine whether there is a relationship between the wearing of tinted spectacle lenses and personality type in physically healthy subjects. The Sixteen Personality Factor Questionnaire 5th Edition, a multidimensional standardized self-report inventory, was used to determine the personality type of 98 participants. Twenty currently wore tinted spectacle lenses for reasons other than ocular disease, sun protection, outdoor or indoor glare reduction, pattern sensitive epilepsy, migraines, reading difficulties or fashion. The remainder did not wear tinted spectacle lenses for any purpose other than sun protection. Tinted lens wear and no tinted lens wear groups were age and gender matched. There was no statistically significant difference in five global personality factors between the no-tint and tint groups: extraversion (p = 0.31), anxiety (p = 0.75), tough-mindedness (p = 0.96), independence (p = 0.63), and self-control (p = 0.87). This suggests that the use of tinted lenses by physically healthy people is unlikely to be an indicator of personality type. © 2007 The Author.

Multiplicative Systems on Ultra-Metric Spaces

AMS Subj. Classification: MSC2010: 42C10, 43A50, 43A75

The impact of a family home-learning program on levels of parental/caregiver efficacy

This study sought to determine if participation in a home education learning program would impact the perceived levels of parental self-efficacy of parents/caregivers who participate in the completion of home-learning assignments and increase their levels of home-learning involvement practices. Also, the study examined the relationship between the parental involvement practice of completing interactive home-learning assignments and the reading comprehension achievement of first grade students. A total of 146 students and their parents/caregivers representing a convenience sample of eight first grade classes participated in the study. Four classes (n=74) were selected as the experimental group and four classes (n=72) served as the control group. There were 72 girls in the sample and 74 boys and the median age was 6 years 6 months. The study employed a quasi-experimental research design utilizing eight existing first grade classes. It examined the effects of a home-learning support intervention program on the perceived efficacy levels of the participating parents/caregivers, as measured by the Parent Perceptions of Parent Efficacy Scale (Hoover-Dempsey, Bassler, & Brissie, 1992) administered on a pre/post basis. The amount and type of parent involvement in the completion of home assignments was determined by means of a locally developed instrument, the H.E.L.P. Parent Involvement Home-learning Scale, administered on a pre/post basis. Student achievement in reading comprehension was measured via the reading subtest of the Brigance, CIB-S pre and post. The elementary students and their parents/caregivers participated in an interactive home-learning intervention program for 12 weeks that required parent/caregiver assistance. Results revealed the experimental group of parents/caregivers had a significant increase in their levels of perceived self-efficacy, p<.001, from the pre to post, and also had significantly increased levels of parental involvement in seven home-learning activities, p<.001, than the control group parents/caregivers. The experimental group students demonstrated significantly higher reading levels than the control group students, p<.001. This study provided evidence that interactive home-learning activities improved the levels of parental self-efficacy and parental involvement in home-learning activities, and improved the reading comprehension of the experimental group in comparison to the control.

Antigen Drives Regulatory B10 Cell Development and Function

B cells mediate immune responses via the secretion of antibody and interactions with other immune cell populations through antigen presentation, costimulation, and cytokine secretion. Although B cells are primarily believed to promote immune responses using the mechanisms described above, some unique regulatory B cell populations that negatively influence inflammation have also been described. Among these is a rare interleukin (IL)-10-producing B lymphocyte subset termed “B10 cells.” B cell-derived IL-10 can inhibit various arms of the immune system, including polarization of Th1/Th2 cell subsets, antigen presentation and cytokine production by monocytes and macrophages, and activation of regulatory T cells. Further studies in numerous autoimmune and inflammatory models of disease have confirmed the ability of B10 cells to negatively regulate inflammation in an IL-10-dependent manner. Although IL-10 is indispensable to the effector functions of B10 cells, how this specialized B cell population is selected in vivo to produce IL-10 is unknown. Some studies have demonstrated a link between B cell receptor (BCR)-derived signals and the acquisition of IL-10 competence. Additionally, whether antigen-BCR interactions are required for B cell IL-10 production during homeostasis as well as active immune responses is a matter of debate. Therefore, the goal of this thesis is to determine the importance of antigen-driven signals during B10 cell development in vivo and during B10 cell-mediated immunosuppression.

Chapter 3 of the dissertation explored the BCR repertoire of spleen and peritoneal cavity B10 cells using single-cell sequencing to lay the foundation for studies to understand the full range of antigens that may be involved in B10 cell selection. In both the spleen and peritoneal cavity B10 cells studied, BCR gene utilization was diverse, and the expressed BCR transcripts were largely unmutated. Thus, B10 cells are likely capable of responding to a wide range of foreign and self-antigens in vivo.

Studies in Chapter 4 determined the predominant antigens that drive B cell IL-10 secretion during homeostasis. A novel in vitro B cell expansion system was used to isolate B cells actively expressing IL-10 in vivo and probe the reactivities of their secreted monoclonal antibodies. B10 cells were found to produce polyreactive antibodies that bound multiple self-antigens. Therefore, in the absence of overarching active immune responses, B cell IL-10 is secreted following interactions with self-antigens.

Chapter 5 of this dissertation investigated whether foreign antigens are capable of driving B10 cell expansion and effector activity during an active immune response. In a model of contact-induced hypersensitivity, in vitro B cell expansion was again used to isolate antigen-specific B10 clones, which were required for optimal immunosuppression.

The studies described in this dissertation shed light on the relative contributions of BCR-derived signals during B10 cell development and effector function. Furthermore, these investigations demonstrate that B10 cells respond to both foreign and self-antigens, which has important implications for the potential manipulation of B10 cells for human therapy. Therefore, B10 cells represent a polyreactive B cell population that provides antigen-specific regulation of immune responses via the production of IL-10.

The Impact of a Family Home-learning Program on levels of Parental/Caregiver Efficacy

This study sought to determine if participation in a home education learning program would impact the perceived levels of parental self-efficacy of parents/caregivers who participate in the completion of home-learning assignments and increase their levels of home-learning involvement practices. Also, the study examined the relationship between the parental involvement practice of completing interactive home-learning assignments and the reading comprehension achievement of first grade students. A total of 146 students and their parents/caregivers representing a convenience sample of eight first grade classes participated in the study. Four classes (n=74) were selected as the experimental group and four classes (n=72) served as the control group. . There were 72 girls in the sample and 74 boys and the median age was 6 years 6 months. The study employed a quasi-experimental research design utilizing eight existing first grade classes. It examined the effects of a home-learning support intervention program on the perceived efficacy levels of the participating parents/care¬givers, as measured by the Parent Perceptions of Parent Efficacy Scale (Hoover-Dempsey, Bassler, & Brissie, 1992) administered on a pre/post basis. The amount and type of parent involvement in the completion of home assignments was determined by means of a locally developed instrument, the H.E.L.P. Parent Involvement Home-learning Scale, administered on a pre/post basis. Student achievement in reading comprehension was measured via the reading subtest of the Brigance, CIB-S pre and post. The elementary students and their parents/caregivers participated in an interactive home-learning intervention program for 12 weeks that required parent/caregiver assistance. Results revealed the experimental group of parents/caregivers had a significant increase in their levels of perceived self-efficacy, p<.001, from the pre to post, and also had significantly increased levels of parental involvement in seven home-learning activities, p<.001, than the control group parents/caregivers. The experimental group students demonstrated significantly higher reading levels than the control group students, p<.001. This study provided evidence that interactive home-learning activities improved the levels of parental self-efficacy and parental involvement in home-learning activities, and improved the reading comprehension of the experimental group in comparison to the control.

A Group-Enhanced Sprint Interval Training Program for Amateur Athletes

Sprint interval training (SIT) can elicit improvements in aerobic and anaerobic capacity. While variations in SIT protocols have been investigated, the influence of social processes cannot be overlooked. As research supports the use of groups to influence individual cognitions and behaviours, the current project assessed the effectiveness of a group-based intervention with participants conducting SIT. Specifically, 53 amateur athletes (age, 21.9 ± 2.9 years; 53% females) took part in a 4-week training program (3 sessions per week, 30-s “all-out” efforts with 4 min active recovery, repeated 4–6 times per session), and were assigned to “true group”, aggregate, or individual conditions. Results indicated no significant differences between groups for the physiological measures. With regards to training improvements from baseline for all participants— regardless of condition — significant main effects for time were identified for maximal oxygen uptake (2.5–2.8 mL·kg−1·min−1, p < 0.001, η2 = 0.03), time-trial performance (14–32 s, p < 0.001, η2 = 0.37), and anaerobic power (1.1–1.7 k·h−1, p < 0.001, η2 = 0.66). With regards to the psychological measures, significant main effects between groups were found for motivation (p = 0.033, η2 = 0.13), task self-efficacy (p = 0.018, η2 = 0.15), and scheduling self-efficacy (p = 0.003, η2 = 0.22). The true group experienced greater improvements in motivation than the individual condition, but the aggregate and individual conditions demonstrated greater increases in task and scheduling self-efficacy. Though the SIT paradigm employed induced training improvements similar to previous work, the group intervention was not able to further these improvements

Quality of life after first-ever stroke: An interviewbased study from Blantyre, Malawi

Background In post-stroke patients, impairment of quality of life (QOL) has been associated with functional impairment, age, anxiety, depression, and fatigue. Good social support, higher education, and better socioeconomic status are associated with better QOL among stroke survivors. In Africa, studies from Nigeria and Tanzania have reported on post-stroke QOL. Aim The aim of this study was to describe QOL more than six months after first-ever stroke in Malawi. Methods This was an interview-based study about a stroke-surviving cohort. Adult patients were interviewed six or twelve months after their first ever stroke. HIV status, modified stroke severity scale (mNIHSS) score, and brain scan results were recorded during the acute phase of stroke. At the time of the interviews, the modified Rankin scale (mRS) was used to assess functional outcome. The interviews applied the Newcastle Stroke-specific Quality of Life Measure (NEWSQOL). All the data were analysed using Statview™: the X2 test compared proportions, Student’s t-test compared means for normally distributed data, and the Kruskal-Wallis test was used for nonparametric data. Results Eighty-one patients were followed up at least six months after the acute stroke. Twenty-five stroke patients (ten women) were interviewed with the NEWSQOL questionnaire. Good functional outcome (lower mRS score) was positively associated with better QOL in the domains of activities of daily living (ADL)/self-care (p = 0.0024) and communication (p = 0.031). Women scored worse in the fatigue (p = 0.0081) and cognition (p = 0.048) domains. Older age was associated with worse QOL in the ADL (p = 0.0122) domain. Seven patients were HIV-seroreactive. HIV infection did not affect post-stroke QOL. Conclusion In Malawi, within specific domains, QOL after stroke appeared to be related to patients’ age, sex, and functional recovery in this small sample of patients.

Effects of two teaching interventions on nursing students’ acquisition of competence in ECG interpretation

Purpose: Nurse ability to recognise patient arrhythmias could contribute to preventing in-hospital cardiac arrest. Research suggests that nurses and nursing students lack competence in electrocardiogram (ECG) interpretation. The aim of this study was to compare the effects of two training strategies on nursing students’ acquisition of competence in ECG interpretation. Materials and methods: A controlled randomised trial with 98 nursing students. Divided in groups of 12–16, participants were randomly allocated to one of the following 3-h teaching intervention groups: 1) traditional instructor-led (TILG), and 2) flipped classroom (FCG). Participants’ competence in ECG interpretation was measured in terms of knowledge (%), skills (%) and self-efficacy (%) using a specifically designed and previously validated toolkit at pre-test and post-test. Two-way MANOVA explored the interaction effect between ‘teaching group’ and ‘time of assessment’ and its impact on participants’ competence. Within-group differences at pre-test and post-test were explored by carrying out paired t-tests. Between-group differences at pre- and post-test were examined by performing independent t-test analysis. Results: There was a statistically significant interaction effect between ‘teaching group’ and ‘time of assessment’ on participants’ competence in ECG interpretation (F(3,190) = 86.541, p = 0.001; Wilks’ Λ = 0.423). At pre-test, differences in knowledge (TILG = 35.12 ± 12.07; FCG = 35.66 ± 10.66), skills (TILG = 14.05 ± 10.37; FCG = 14.82 ± 14.14), self-efficacy (TILG = 46.22 ± 23.78; FCG = 40.01 ± 21.77) and all other variables were non-significant (p > 0.05). At post-test, knowledge (TILG = 55.12 ± 14.16; FCG = 94.2 ± 7.31), skills (TILG = 36.90 ± 16.45; FCG = 86.43 ± 14.32) and self-efficacy (TILG = 70.78 ± 14.55; FCG = 79.98 ± 10.35) had significantly improved, regardless of the training received (p < 0.05). Nonetheless, participants in the FCG scored significantly higher than participants in the TILG in knowledge, skills and self-efficacy (p < 0.05). Conclusion: Flipping the classroom for teaching ECG interpretation to nursing students may be more effective than using a traditional instructor-led approach in terms of immediate acquisition of competence in terms of knowledge, skills and self-efficacy. Further research on the effects of both teaching strategies on the retention of the competence will be undertaken.

Association between autism symptoms and family functioning in children with attention-deficit/hyperactivity disorder: a community-based study

Autism spectrum disorder (ASD) symptoms are elevated in populations of children with attention-deficit/hyperactivity disorder (ADHD). This study examined cross-sectional associations between ASD symptoms and family functioning in children with and without ADHD. Participants were recruited to a longitudinal cohort study, aged 6-10 years (164 ADHD; 198 controls). ADHD cases were ascertained using community-based screening and diagnostic confirmation from a diagnostic interview. ASD symptoms were measured using the Social Communication Questionnaire. Outcome variables were parent mental health, family quality of life (FQoL), couple conflict and support, and parenting behaviours. After adjustment for a range of child and family factors (including other mental health comorbidities), higher ASD symptoms were associated with poorer FQoL across all three domains; emotional impact (p = 0.008), family impact (p = 0.001) and time impact (p = 0.003). In adjusted analyses by subgroup, parents of children with ADHD+ASD had poorer parent self-efficacy (p = 0.01), poorer FQoL (p ≤ 0.05), with weak evidence of an association for less couple support (p = 0.06), compared to parents of children with ADHD only. Inspection of covariates in the adjusted analyses indicated that the association between ASD symptoms and most family functioning measures was accounted forby child internalising and externalising disorders, ADHD severity, and socioeconomic status; however, ASD symptoms appear to be independently associated with poorer FQoL in children with ADHD. The presence of ASD symptoms in children with ADHD may signal the need for enhanced family support.

Generator Matrix Based Search for Extremal Self-Dual Binary Error-Correcting Codes

Self-dual doubly even linear binary error-correcting codes, often referred to as Type II codes, are codes closely related to many combinatorial structures such as 5-designs. Extremal codes are codes that have the largest possible minimum distance for a given length and dimension. The existence of an extremal (72,36,16) Type II code is still open. Previous results show that the automorphism group of a putative code C with the aforementioned properties has order 5 or dividing 24. In this work, we present a method and the results of an exhaustive search showing that such a code C cannot admit an automorphism group Z6. In addition, we present so far unpublished construction of the extended Golay code by P. Becker. We generalize the notion and provide example of another Type II code that can be obtained in this fashion. Consequently, we relate Becker's construction to the construction of binary Type II codes from codes over GF(2^r) via the Gray map.