title: Estimating the growth in Mordell-Weil ranks and Shafarevich-Tate groups over Lie extensions

authors: Delbourgo, Daniel

subjects: Science & Technology

abstract: Let E/Q be an elliptic curve, p > 3 a good ordinary prime for E, and K∞ a p-adic Lie extension of a number field k. Under some standard hypotheses, we study the asymptotic growth in both the Mordell–Weil rank and Shafarevich–Tate group for E over a tower of extensions K ₙ/ₖ inside K∞; we obtain lower bounds on the former, and upper bounds on the latter’s size.

text: Estimating the growth in Mordell-Weil ranks and Shafarevich-Tate groups over Lie extensions Let E/Q be an elliptic curve, p > 3 a good ordinary prime for E, and K∞ a p-adic Lie extension of a number field k. Under some standard hypotheses, we study the asymptotic growth in both the Mordell–Weil rank and Shafarevich–Tate group for E over a tower of extensions K ₙ/ₖ inside K∞; we obtain lower bounds on the former, and upper bounds on the latter’s size.

year: 2017

title: Seen but not heard: Women's experiences of educational leadership in Solomon Islands secondary schools

authors: Akao, Shalom Maiasi

subjects: women

abstract: This study is concerned with the representation of women in leadership positions in Solomon Islands. In particular, it explores the educational leadership experiences of women working in Solomon Islands' secondary schools. While much research to date has been carried out in the developed and developing countries, very little has been undertaken in Melanesian countries. As such, we know very little about women's experiences in educational leadership in Melanesia. 
Research data was gathered using qualitative methods. Specifically, interviews were conducted with eight women, five were deputy principals and three were Heads of Departments. All the participants were teaching in schools in an urban centre. Data gathered were analyzed using the thematic analysis approach. The data gathering was conducted in the Solomon Islands in October 2007.
The key findings revealed a number of issues that impacted on the women's leadership in their respective schools. Findings include lack of self confidence, difficulties in balancing work and family, discriminatory attitudes and the influence of the cultural patriarchal norms on the attitudes towards women in leadership positions. Other key findings related to the nature of the organization, in this case, the school. This included a lack of initial preparatory and on - going professional development programmes and a lack of consultation in the decision making process. This study also found that while the women embraced the collaborative approach to leadership, the structural barriers through the hierarchical organization of the schools meant they could not lead the way they would like to.

text: Seen but not heard: Women's experiences of educational leadership in Solomon Islands secondary schools This study is concerned with the representation of women in leadership positions in Solomon Islands. In particular, it explores the educational leadership experiences of women working in Solomon Islands' secondary schools. While much research to date has been carried out in the developed and developing countries, very little has been undertaken in Melanesian countries. As such, we know very little about women's experiences in educational leadership in Melanesia. 
Research data was gathered using qualitative methods. Specifically, interviews were conducted with eight women, five were deputy principals and three were Heads of Departments. All the participants were teaching in schools in an urban centre. Data gathered were analyzed using the thematic analysis approach. The data gathering was conducted in the Solomon Islands in October 2007.
The key findings revealed a number of issues that impacted on the women's leadership in their respective schools. Findings include lack of self confidence, difficulties in balancing work and family, discriminatory attitudes and the influence of the cultural patriarchal norms on the attitudes towards women in leadership positions. Other key findings related to the nature of the organization, in this case, the school. This included a lack of initial preparatory and on - going professional development programmes and a lack of consultation in the decision making process. This study also found that while the women embraced the collaborative approach to leadership, the structural barriers through the hierarchical organization of the schools meant they could not lead the way they would like to.

year: 2008

title: The relationship between on-water performance and physical characteristics in elite and sub-elite outrigger canoe paddlers

authors: King, Tupuria

abstract: Objectives: The aim of the present study was to compare and investigate the relationship between 500 m on-water performance and physical characteristics in elite and sub-elite outrigger canoe paddlers. Methods: A total of 16 males participated in the study including eight elite paddlers (age: 24.8 ± 10.5 yrs., total paddling experience: 12.5 ± 5.2 yrs.) and eight sub-elite paddlers (age: 34.4 ± 15.4 yrs., total paddling experience: 6.8 ± 5.2 yrs.). Body mass, height, sitting height, arm span, arm length, body fat percentage, 50 kg muscular endurance (bench press and bench pull), peak oxygen uptake (VO2peak) and Wingate performance (30 sec maximal effort) were assessed and subsequently correlated with 500 m outrigger canoeing performance at a national championship’s regatta. Results: When group data were combined, moderate to strong correlations were found between 500 m outrigger canoeing performance and absolute VO2peak (r = -0.61), upper limb length (r = -0.60) 50 kg bench press (r = -0.56), total paddling experience (r = -0.53), body mass (r = -0.51), sitting height (r = -0.51), singles paddling experience (r = -0.49), height (r = -0.48) and Wingate distance (r = -0.42). When groups were compared, elite paddlers showed significantly greater Wingate mean power and distance, paddling experience and 500 m on-water performance times than sub-elite paddlers (p < 0.05). However, there were no significant differences in anthropometrical measures, muscular endurance and VO2peak between the two groups (p < 0.05). Conclusion: VO2peak and upper limb length were the best predictors of performance over the 500 m sprint distance across the entire group. Thirty-second Wingate mean power and distance, years of paddling experience and subsequent 500 m on-water performance differentiated elite from sub-elite paddlers.

text: The relationship between on-water performance and physical characteristics in elite and sub-elite outrigger canoe paddlers Objectives: The aim of the present study was to compare and investigate the relationship between 500 m on-water performance and physical characteristics in elite and sub-elite outrigger canoe paddlers. Methods: A total of 16 males participated in the study including eight elite paddlers (age: 24.8 ± 10.5 yrs., total paddling experience: 12.5 ± 5.2 yrs.) and eight sub-elite paddlers (age: 34.4 ± 15.4 yrs., total paddling experience: 6.8 ± 5.2 yrs.). Body mass, height, sitting height, arm span, arm length, body fat percentage, 50 kg muscular endurance (bench press and bench pull), peak oxygen uptake (VO2peak) and Wingate performance (30 sec maximal effort) were assessed and subsequently correlated with 500 m outrigger canoeing performance at a national championship’s regatta. Results: When group data were combined, moderate to strong correlations were found between 500 m outrigger canoeing performance and absolute VO2peak (r = -0.61), upper limb length (r = -0.60) 50 kg bench press (r = -0.56), total paddling experience (r = -0.53), body mass (r = -0.51), sitting height (r = -0.51), singles paddling experience (r = -0.49), height (r = -0.48) and Wingate distance (r = -0.42). When groups were compared, elite paddlers showed significantly greater Wingate mean power and distance, paddling experience and 500 m on-water performance times than sub-elite paddlers (p < 0.05). However, there were no significant differences in anthropometrical measures, muscular endurance and VO2peak between the two groups (p < 0.05). Conclusion: VO2peak and upper limb length were the best predictors of performance over the 500 m sprint distance across the entire group. Thirty-second Wingate mean power and distance, years of paddling experience and subsequent 500 m on-water performance differentiated elite from sub-elite paddlers.

year: 2019