Experiments in physical and physiological chemistry,

Mode of access: Internet.

Mathematics and logic for digital devices.

Mode of access: Internet.

Pre-Service Teachers’ Mathematics Language and Reflection in the Context of an Early Childhood Mathematics Methods Course

Thesis (Ph.D.)--University of Washington, 2016-06

Breadth-first search and the Andrews-Curtis conjecture

Andrews and Curtis conjectured in 1965 that every balanced presentation of the trivial group can be transformed into a standard presentation by a finite sequence of elementary transformations. Recent computational work by Miasnikov and Myasnikov on this problem has been based on genetic algorithms. We show that a computational attack based on a breadth-first search of the tree of equivalent presentations is also viable, and seems to outperform that based on genetic algorithms. It allows us to extract shorter proofs (in some cases, provably shortest) and to consider the length thirteen case for two generators. We prove that, up to equivalence, there is a unique minimum potential counterexample.

Muscularity, the habitus and the social construction of gender: Towards a gender-relevant physical education

This paper begins to develop the concept of gender-relevant physical education, combining the work of Pierre Bourdieu and his notion of the habitus and feminist philosopher Iris Marion Young's analysis of feminine motility. It draws on data generated from a study of young people's articulation of the relationships between muscularity, physicality and gender. The social construction of the body has been of central importance to the construction of femininities and masculinities, and has formed an enduring meta-theme through much of the research on physical education and gender. We build on the young people's insights to argue that Bourdieu's notions of the habitus and the exchange of physical capital provide a useful means of conceptualizing issues of embodiment and gender in school physical education and sport. We conclude by sketching an outline of gender-relevant physical education as a process of interrupting the habitus.

Physical activity and young people: Beyond participation

The quantitative literature on physical activity participation patterns leaves many questions about the place and significance of physical activity in the lives of young people unanswered. This paper begins to address this absence by attempting to understand physical activity from the point of view of young people and in relation to other aspects of their lives. It discusses interviews with 28 female and 34 male students from three Australian high schools chosen because they provided the opportunity to include students from different geographical, social and cultural locations. Students were asked to reflect upon their past and current engagement in physical activity, and the impact of factors such as their location, family, and school in their access and interest. Different spaces and places proved important in the nature of the physical activity available, its significance to young people and the kinds of identities which could be constructed.

Meeting Physical Activity Guidelines and Average Daily Steps in a Working Population

Purpose: The aims of this study were to investigate the relationships and agreement between average number of steps taken per day and compliance with Australian physical activity guidelines in a sample of working Australian adults. Methods: One hundred-eighty-five adults wore a pedometer and recorded the number of steps taken each day for 7 d. On the 8th day, they completed a self-report survey that asked about frequency and duration of different activities during the previous week. Results: The average number of steps per day was 8543 (standard deviation = 2466) for men (n = 74) and 9093 (2926) for women (n = 111; no significant difference). Just over half the men (53%) and 45% of the women met the current national physical activity guidelines (no significant difference). Average number of steps per day was higher in those who met the guidelines [9547 (2655), n = 89] than in those who did not [8220 (2702), n = 96; P

Existence of solutions to some equilibrium problems

The concept of a monotone family of functions, which need not be countable, and the solution of an equilibrium problem associated with the family are introduced. A fixed-point theorem is applied to prove the existence of solutions to the problem.

Accelerating, hyperaccelerating, and decelerating networks

Many growing networks possess accelerating statistics where the number of links added with each new node is an increasing function of network size so the total number of links increases faster than linearly with network size. In particular, biological networks can display a quadratic growth in regulator number with genome size even while remaining sparsely connected. These features are mutually incompatible in standard treatments of network theory which typically require that every new network node possesses at least one connection. To model sparsely connected networks, we generalize existing approaches and add each new node with a probabilistic number of links to generate either accelerating, hyperaccelerating, or even decelerating network statistics in different regimes. Under preferential attachment for example, slowly accelerating networks display stationary scale-free statistics relatively independent of network size while more rapidly accelerating networks display a transition from scale-free to exponential statistics with network growth. Such transitions explain, for instance, the evolutionary record of single-celled organisms which display strict size and complexity limits.

Levels of physical activity for colon cancer prevention compared with generic public health recommendations: Population prevalence and sociodemographic correlates

Background: The proportion of Australian adults achieving physical activity levels believed to be sufficient for colon cancer prevention was estimated, and sociodemographic correlates (age, gender, educational attainment, occupation, marital status, and children in household) of meeting these levels of activity were analyzed. Methods: Data from the 2000 National Physical Activity Survey were used to estimate the prevalence of participation in physical activity in relation to three criteria: generic public health recommendations, weekly amount of at least moderate-intensity physical activity currently believed to reduce risk of colon cancer, and weekly amount of vigorous-intensity physical activity believed to reduce risk of colon cancer. Results: Overall, 46% of adults met the generic public health criterion, 26% met the colon cancer criterion based on participation in at least moderate-intensity physical activity, and 10% met the colon cancer criterion based on vigorous-intensity physical activity. Women were less likely than men to meet the colon cancer criteria. Younger and more educated persons were more likely to meet all three criteria. The most pronounced differences between gender, age, and educational attainment groups were found for meeting the amount of vigorous-intensity physical activity believed to reduce risk of colon cancer. Conclusions: The population prevalence for meeting proposed physical activity criteria for colon cancer prevention is low and much lower than that related to the more generic public health recommendations. If further epidemiologic studies confirm that high volumes and intensities of activity are required, the public health challenges for colon cancer will be significant.

Effect of Australia's walk to work day campaign on adults' active commuting and physical activity behavior

Purpose. To determine whether Australia's Walk to Work Day media campaign resulted in behavioural change among targeted groups. Methods. Pre- and postcampaign telephone surveys of a cohort of adults aged 18 to 65 years (n = 1100, 55% response rate) were randomly sampled from Australian major melropolitan areas. Tests for dependent samples were applied (McNemax chi(2) or paired t-test). Results. Among participants who did not usually actively commute to work was a significant decrease in car only use an increase in walking combined with public transport. Among those who were employed was a significant increase in total time walking (+16 min/wk; t [780] = 2.04, p < .05) and in other moderate physical activity (+120 min/wk; t [1087] = 4.76, p < .005), resulting in a significant decrease in the proportion who were inactive (chi(2) (1) = 6.1, p < .05). Conclusion. Although nonexperimental, the Walk to Work Day initiative elicited short-term changes in targeted behaviors among target groups. Reinforcement by integrating worksite health promotion strategies may be required for sustained effects.

Piloting the feasibility and effectiveness of print- and telephone-mediated interventions for promoting the adoption of physical activity in Australian adults

This study examined the feasibility and effectiveness for increasing physical activity of a print-based intervention, and a print- plus telephone-mediated intervention among mid-life and older Australian adults. A randomised controlled trial study design was used. In mid-2002, 66 adults (18 men, 48 women) aged 45-78 years, who identified themselves as under-active, were recruited through advertisements and word-of-mouth at two sites (Melbourne and Brisbane), and randomised to either the print or print-plus-telephone mediated intervention group. Participants in both groups attended an initial briefing session, and over the 12-week intervention period received an instructional newsletter and use of a pedometer (both groups), and individualised telephone calls (print- plus-telephone group only). Self-reported physical activity data were collected at baseline, 12 and 16 weeks. Measures of self-reported global physical activity, moderate-vigorous intensity activity and walking all showed increases between baseline and 12 weeks for both intervention groups. These increases were generally maintained by 16 weeks, although participants in the print-plus-telephone group maintained slightly higher levels of global reported activity and walking (by approximately 30 mins/wk) than those in the print group. These interventions show potential for promoting initial increases in physical activity among mid-life and older Australian adults, and should be evaluated across more extended time periods.

Physical and psychological factors maintain long-term predictive capacity post-whiplash injury

Higher initial levels of pain and disability, older age, cold hyperalgesia, impaired sympathetic vasoconstriction and moderate post-traumatic stress symptoms have been shown to be associated with poor outcome 6 months following whiplash injury. This study prospectively investigated the predictive capacity of these variables at a long-term follow-up. Sixty-five of an initial cohort of 76 acutely injured whiplash participants were followed to 2-3 years post-accident. Motor function (ROM; kinaesthetic sense; activity of the superficial neck flexors (EMG) during cranio-cervical flexion), quantitative sensory testing (pressure, thermal pain thresholds and brachial plexus provocation test), sympathetic vasoconstrictor responses and psychological distress (GHQ-28, TSK and IES) were measured. The outcome measure was Neck Disability Index (NDI) scores. Participants with ongoing moderate/severe symptoms at 2-3 years continued to manifest decreased ROM, increased EMG during cranio-cervical flexion, sensory hypersensitivity and elevated levels of psychological distress when compared to recovered participants and those with milder symptoms. The latter two groups showed only persistent deficits in cervical muscle recruitment patterns. Higher initial NDI scores (OR 1.00-1.1), older age (OR 1.00-1.13), cold hyperalgesia (OR 1.1-1.13) and post-traumatic stress symptoms (OR 1.03-1.2) remained significant predictors of poor outcome at long-term follow-up (r(2) = 0.56). The robustness of these physical and psychological factors suggests that their assessment in the acute stage following whiplash injury will be important. (c) 2006 International Association for the Study of Pain. Published by Elsevier B.V. All rights reserved.

Complex numbers and symmetries in quantum mechanics, and a nonlinear superposition principle for Wigner functions

Complex numbers appear in the Hilbert space formulation of quantum mechanics, but not in the formulation in phase space. Quantum symmetries are described by complex, unitary or antiunitary operators defining ray representations in Hilbert space, whereas in phase space they are described by real, true representations. Equivalence of the formulations requires that the former representations can be obtained from the latter and vice versa. Examples are given. Equivalence of the two formulations also requires that complex superpositions of state vectors can be described in the phase space formulation, and it is shown that this leads to a nonlinear superposition principle for orthogonal, pure-state Wigner functions. It is concluded that the use of complex numbers in quantum mechanics can be regarded as a computational device to simplify calculations, as in all other applications of mathematics to physical phenomena.