Response curves of deterministic and probabilistic cellular automata in one and two dimensions

One of the most important problems in the theory of cellular automata (CA) is determining the proportion of cells in a specific state after a given number of time iterations. We approach this problem using patterns in preimage sets - that is, the set of blocks which iterate to the desired output. This allows us to construct a response curve - a relationship between the proportion of cells in state 1 after niterations as a function of the initial proportion. We derive response curve formulae for many two-dimensional deterministic CA rules with L-neighbourhood. For all remaining rules, we find experimental response curves. We also use preimage sets to classify surjective rules. In the last part of the thesis, we consider a special class of one-dimensional probabilistic CA rules. We find response surface formula for these rules and experimental response surfaces for all remaining rules.

Investigation of Frustrated Quasi-One-Dimensional Quantum Spin-Chain Materials

Copper arsenite CuAs2O4 and Copper antimonite CuSb2O4 are S=1/2 (Cu2+ 3d9 electronic configuration) quasi-one-dimensional quantum spin-chain compounds. Both compounds crystallize with tetragonal structures containing edge sharing CuO6 octahedra chains which experience Jahn-Teller distortions. The basal planes of the octahedra link together to form CuO2 ribbon-chains which harbor Cu2+ spin-chains. These compounds are magnetically frustrated with competing nearest-neighbour and next-nearest-neighbour intrachain spin-exchange interactions. Despite the similarities between CuAs2O4 and CuSb2O4, they exhibit very different magnetic properties. In this thesis work, the physical properties of CuAs2O4 and CuSb2O4 are investigated using a variety of experimental techniques which include x-ray diffraction, magnetic susceptibility measurements, heat capacity measurements, Raman spectroscopy, electron paramagnetic resonance, neutron diffraction, and dielectric capacitance measurements. CuAs2O4 exhibits dominant ferromagnetic nearest-neighbour and weaker antiferromagnetic next-nearest-neighbour intrachain spin-exchange interactions. The ratio of the intrachain interactions amounts to Jnn/Jnnn = -4.1. CuAs2O4 was found to order with a ferromagnetic groundstate below TC = 7.4 K. An extensive physical characterization of the magnetic and structural properties of CuAs2O4 was carried out. Under the effect of hydrostatic pressure, CuAs2O4 was found to undergo a structural phase transition at 9 GPa to a new spin-chain structure. The structural phase transition is accompanied by a severe alteration of the magnetic properties. The high-pressure phase exhibits dominant ferromagnetic next-nearest-neighbour spin-exchange interactions and weaker ferromagnetic nearest-neighbour interactions. The ratio of the intrachain interactions in the high-pressure phase was found to be Jnn/Jnnn = 0.3. Structural and magnetic characterizations under hydrostatic pressure are reported and a relationship between the structural and magnetic properties was established. CuSb2O4 orders antiferromagnetically below TN = 1.8 K with an incommensurate helicoidal magnetic structure. CuSb2O4 is characterized by ferromagnetic nearest-neighbour and antiferromagnetic next-nearest-neighbour spin-exchange interactions with Jnn/Jnnn = -1.8. A (H, T) magnetic phase diagram was constructed using low-temperature magnetization and heat capacity measurements. The resulting phase diagram contains multiple phases as a consequence of the strong intrachain magnetic frustration. Indications of ferroelectricity were observed in the incommensurate antiferromagnetic phase.

An exploration of the experience of implementing the second step violence prevention curriculum in one primary general learning disabilities class /

Violence has always been a part of the human experience, and therefore, a popular topic for research. It is a controversial issue, mostly because the possible sources of violent behaviour are so varied, encompassing both biological and environmental factors. However, very little disagreement is found regarding the severity of this societal problem. Most researchers agree that the number and intensity of aggressive acts among adults and children is growing. Not surprisingly, many educational policies, programs, and curricula have been developed to address this concern. The research favours programs which address the root causes of violence and seek to prevent rather than provide consequences for the undesirable behaviour. But what makes a violence prevention program effective? How should educators choose among the many curricula on the market? After reviewing the literature surrounding violence prevention programs and their effectiveness, The Second Step Violence Prevention Curriculum surfaced as unique in many ways. It was designed to address the root causes of violence in an active, student-centred way. Empathy training, anger management, interpersonal cognitive problem solving, and behavioural social skills form the basis of this program. Published in 1992, the program has been the topic of limited research, almost entirely carried out using quantitative methodologies.The purpose of this study was to understand what happens when the Second Step Violence Prevention Curriculum is implemented with a group of students and teachers. I was not seeking a statistical correlation between the frequency of violence and program delivery, as in most prior research. Rather, I wished to gain a deeper understanding of the impact ofthe program through the eyes of the participants. The Second Step Program was taught to a small, primary level, general learning disabilities class by a teacher and student teacher. Data were gathered using interviews with the teachers, personal observations, staff reports, and my own journal. Common themes across the four types of data collection emerged during the study, and these themes were isolated and explored for meaning. Findings indicate that the program does not offer a "quick fix" to this serious problem. However, several important discoveries were made. The teachers feU that the program was effective despite a lack of concrete evidence to support this claim. They used the Second Step strategies outside their actual instructional time and felt it made them better educators and disciplinarians. The students did not display a marked change in their behaviour during or after the program implementation, but they were better able to speak about their actions, the source of their aggression, and the alternatives which were available. Although they were not yet transferring their knowledge into positive action,a heightened awareness was evident. Finally, staff reports and my own journal led me to a deeper understanding ofhow perception frames reality. The perception that the program was working led everyone to feel more empowered when a violent incident occurred, and efforts were made to address the cause rather than merely to offer consequences. A general feeling that we were addressing the problem in a productive way was prevalent among the staff and students involved. The findings from this investigation have many implications for research and practice. Further study into the realm of violence prevention is greatly needed, using a balance of quantitative and qualitative methodologies. Such a serious problem can only be effectively addressed with a greater understanding of its complexities. This study also demonstrates the overall positive impact of the Second Step Violence Prevention Curriculum and, therefore, supports its continued use in our schools.

Participation of registered nurses in continuing education

This correlational study investigated the psychological types, learning style preferences, readiness for self-directed learning, demographic and continuing education participation data of 154 registered nurses at two different Southern Ontario hospitals. One hospital was a large tertiary care university-affiliated teaching centre (Cityview) and the other was a smaller secondary care community hospital (Waterview). The instruments used in the study were the PET Type Check, Kolb's Learning Style Inventory, the Self-Directed Readiness Scale (SDLRS), and a Nursing Survey developed by the researcher. Descriptive statistics, crosstabulations and correlational analyses were calculated. The most common psychological types identified among this sample of nurses were extraverted thinking, introverted intuitive and extraverted intuitive. There were no significant differences between the two hospitals. The accommodator learning style was preferred overall, with more nurses at Waterview Hospital preferring the diverger learning style, and more nurses at Cityview Hospital preferring the accommodator learning style. The majority of nurses scored in the average and above average categories on the SDLRS, indicating that they perceive themselves as ready to engage in self-directed learning. At Cityview Hospital there were more nurses in the average and high readiness categories, whereas at Waterview Hospital more nurses scored in the below average category. No significant correlations were found for learning style with psychological type, or for learning style with SDLRS scores. A positive correlation was found to exist between SDLRS scores and each of the psychological types extraverted feelings, extraverted thinking, and introverted intuitive.The only significant correlation for psychological type and continuing education activity was a positive correlation between extraverted thinking types and participation in informal discussion or study groups. Positive correlations were found for SDLRS scores with each of the following continuing education activities; number of hours per month spent reading journals; journal reading; attendance at credit courses; watching videos; using reference texts. Further details of the results are included as well as a discussion of the findings and implications for future research.

The effect of an eight session skate treadmill and agility training program on the degree of separation in ice hockey players

The sport of ice hockey places multiple simultaneous demands on the physiological, mechanical, and cognitive abilities of individual players. The purpose of the study was to investigate the effect of an eight session degree of separation (DOS) training intervention on sport specific measures of skating, stick handling and puck control movements in competitive ice hockey players. All participants completed a battery of pre and pos t skill and DOS specific tests designed to evaluate DOS abilities: Ttest of agility, a modified Cunningham Faulkner test of anaerobic capacity performed on a skate treadmill and a DOS skate treadmill test. Statistically significant differences were found between groups on the post test scores, meaning that the training intervention had a specific effect on the post test scores of the experimental group (p~O.05). Results of this investigation suggested that a DOS specific training program has the potential to enhance the integration and automation of or sequencing and coordination of uncoordinated ice hockey movements.

Certificate for One Share of Capital Stock in Nicola Valley Coal and Coke Company

Certificate for 1 share of capital stock in Nicola Valley Coal and Coke Company to Welland D. Woodruff, May 13, 1905.

Certificate for Twenty-One Shares of Capital Stock in Nicola Valley Coal and Coke Company

Certificate for 21 shares of capital stock in Nicola Valley Coal and Coke Company to Welland D. Woodruff, Oct. 16, 1905.

Certificate for One Thousand Shares of Capital Stock in Lincoln-Nipissing Development Co. Ltd.

Certificate for 1,000 shares of capital stock in Lincoln-Nipissing Development Co. Ltd. to Hamilton K. Woodruff, Feb. 21, 1907.

Certificate for One Share of Capital Stock in St. Catharines Golf Club Ltd.

Certificate for 1 share of capital stock in St. Catharines Golf Club Ltd. to Dr. Thos. Woodruff, April 15, 1911.

Certificate for One Share of Capital Stock in the Lincoln County Greater Production Company

Certificate for 1 share of capital stock in the Lincoln County Greater Production Company to Hamilton K. Woodruff, Jan. 20, 1919.

Certificate for One Hundred and Twenty Shares of Preferred Stock in Skyway Limited

Certificate for 120 shares of preferred stock in Skyways Limited to Hamilton K. Woodruff, Sept. 9, 1929.

Certificate for One Share of Capital Stock in St. Catharines Lawn Bowling Club

Certificate for 1 share of capital stock in St. Catharines Lawn Bowling Club to executors of the estate of Hamilton K. Woodruff, Dec. 23, 1933.

Letter to S.D. Woodruff from an illegible signature stating that he suspects a clerical error in one of the columns, n.d.

Letter to S.D. Woodruff from an illegible signature stating that he suspects a clerical error in one of the columns, n.d.

Letter (2 letters contained in one with a total of 2 pages) addressed to Henry Nelles. The first part is from Gilles Moffatt. The second part is addressed to Henry Nelles from R. Gillespie

Letter (2 letters contained in one with a total of 2 pages) addressed to Henry Nelles. The first part is from Gilles Moffatt and he says that there is a balance of 277 pounds and 13 shillings in their favour. This is dated Jan. 10, 1831. The second part is addressed to Henry Nelles from R. Gillespie and it says that he intends to go to London district before paying Mr. Nelles a visit in Grimsby. The second page of this letter is stained and missing a section. Text is slightly affected, Jan. 29, 1831.