Generating finite integral relation algebras

Relation algebras and categories of relations in particular have proven to be extremely useful as a fundamental tool in mathematics and computer science. Since relation algebras are Boolean algebras with some well-behaved operations, every such algebra provides an atom structure, i.e., a relational structure on its set of atoms. In the case of complete and atomic structure (e.g. finite algebras), the original algebra can be recovered from its atom structure by using the complex algebra construction. This gives a representation of relation algebras as the complex algebra of a certain relational structure. This property is of particular interest because storing the atom structure requires less space than the entire algebra. In this thesis I want to introduce and implement three structures representing atom structures of integral heterogeneous relation algebras, i.e., categorical versions of relation algebras. The first structure will simply embed a homogeneous atom structure of a relation algebra into the heterogeneous context. The second structure is obtained by splitting all symmetric idempotent relations. This new algebra is in almost all cases an heterogeneous structure having more objects than the original one. Finally, I will define two different union operations to combine two algebras into a single one.

The Relationship between athlete motivation, strategies used to cope with stress and affective outcomes in Canadian University athletes

Motivation to perform and coping with stress during performance are key factors in determining numerous outcomes of sporting performance. However, less evidence is in place assessing their relationship. The aim of this investigation was to assess the relationship between athlete motivation and the coping strategies used to deal with stress during their sporting performance, as well as the relationship between motivation and affect and coping and affect. One hundred and forty five university athletes completed questionnaires. Regressions revealed that two of the three self determined levels of motivation, identified and integrated regulation, predicted increased task-oriented coping strategies. Two of the three non-self determined levels of motivation, amotivation and external regulation, significantly predicted disengagement-oriented coping. Additionally, intrinsic motivation and task-oriented coping predicted increase positive affect. Increased disengagement-oriented coping predicted decreased positive affect. Disengagement-oriented coping significantly predicted increased negative affect. These findings increase understanding of motivations role in predicting athletes coping.

A Study of One Living School Partnership

Abstract The purpose of this paper was to explore the ways one partnership evaluated its partners and relationships using Gray‟s model of collaboration (2000). The model consists of five approaches that are made up of: problem-focused, relational, cognitive, structural, and political. These approaches were tested at one „Living School‟ partnership that was constituted by a school, a public health department, the City‟s Park and Recreation Department, commercial enterprises, and organizations from the non-profit sector. Eight pre-arranged interviews were conducted using conversational interview technique, with three additional interviews on-site. The results of the research revealed that based on Gray‟s five approaches, this one Living School partnership was found to be successful. Consistent with partnership research, trust, social capital and structure were found to be key ingredients, as well as new themes of leadership, role clarity, and a shared vision were also found to be vital.

RelMDD-A Library for Manipulating Relations Based on MDDs

Relation algebras is one of the state-of-the-art means used by mathematicians and computer scientists for solving very complex problems. As a result, a computer algebra system for relation algebras called RelView has been developed at Kiel University. RelView works within the standard model of relation algebras. On the other hand, relation algebras do have other models which may have different properties. For example, in the standard model we always have L;L=L (the composition of two (heterogeneous) universal relations yields a universal relation). This is not true in some non-standard models. Therefore, any example in RelView will always satisfy this property even though it is not true in general. On the other hand, it has been shown that every relation algebra with relational sums and subobjects can be seen as matrix algebra similar to the correspondence of binary relations between sets and Boolean matrices. The aim of my research is to develop a new system that works with both standard and non-standard models for arbitrary relations using multiple-valued decision diagrams (MDDs). This system will implement relations as matrix algebras. The proposed structure is a library written in C which can be imported by other languages such as Java or Haskell.

A Quantitative Study of Social Capital Components, Self-Reported Health Status and Social Determinants of Health

This quantitative descriptive co-relational study used telephone survey interviews and stratified random sampling to collect data related to Social Capital (SC) and its components (trust and safety, reciprocity, civic engagement and collective action) and selected determinants of health variables in Niagara Region, Canada. Among the four components of social capital, trust and safety levels were highest among all participants (m=5.42, SD=1.0), with community engagement yielding the lowest mean score for the sample (m=1.93, SD=.8). Reciprocity had the strongest association with all other components of SC (r=0.51). Those most likely to report low levels of SC and health were unattached and low-income females. Males were more likely to report higher trust and safety levels and higher levels of self-rated health. In this study, a linear relationship between self-reported health status and SC was not found. Marital and employment status were associated with differences in mean scores of SC and self-reported health.

Entering Youthwork Through Love's Many Pathways: A Poetic Rendition

Entering Youth work Through Love's Many Pathways is a text that wanders and digresses to places where, through poetic inquiry and a Spinozist and Sufi framework, the concepts of immanence, love and becoming can be explored. This thesis is framed as a walk through which the researcher / youth worker along with the reader, traverses through five pathways that she considers necessary in cultivating a meaningful relationship with the youth: opening, strength, listening, trust and unconditional compassion. By means of engaging the “self”, this thesis approaches youth work as a field that is relational and socially interconnected. In this sense, this poetic inquiry seeks to rupture predictable patterns of behaviour. One of the ways I do this is through found poetry. Through this specific form of poetic inquiry, I bring together various voices, an assemblage – Rumi, Rilke, Whitman, Lalla, Mirabai and Song of Songs – in order to find my voice and by extension, to help the youth find their voice through a human connection that goes beyond colour, race, gender etc. In other words, my aim is to actualize the experiences of becoming youth worker while being in a field of immanence where similarities are understood and differences respected. My hope is that this project may offer an example of understanding, celebration, and engagement of our mutual differences, while still being able to relate to one another through the many pathways of love.

Repertory grid adaptations in detecting connotative trends and social behaviour problems in education

Please consult the paper edition of this thesis to read. It is available on the 5th Floor of the Library at Call Number: Z 9999 E38 K66 1983

The form and function of aggressive subtypes: Relations with the goodness of fit between adolescent temperament and parent personality

The current research investigated whether the interaction between adolescent temperament and parent personality, consistent with the goodness of fit perspective, differentially predicted overt (e.g., kicking, punching, insulting) and relational (e.g., gossiping, rumour spreading, ostracising) forms of reactive (e.g., provoked, a response to goal blocking, unplanned and emotional) and proactive (e.g., unprovoked, goal-directed, deliberate and relatively unemotional) aggression. Mothers, fathers and their adolescent child (N = 448, age 10-17) from southern Ontario, Canada filled out questionnaires on adolescent temperament (i.e., frustration, fear, and effortful control) and aggression. Parents reported on their own personality traits (i.e., agreeableness, conscientiousness, and emotional stability). The form and function of aggression not encompassed by the subtype under investigation were controlled in each regression analysis. Consistent with the hypothesis, results indicated that a poor fit between adolescent temperament vulnerabilities and lower parent personality traits, including agreeableness, conscientiousness and emotional stability, was predictive of greater levels of differentiated aggression. For instance, lower father conscientiousness strengthened the relation between higher frustration and reactive overt aggression. Unexpectedly in some cases, temperament risk factors were more strongly associated with aggression subtypes when personality scores were at higher levels, particularly agreeableness and conscientiousness, traits normally considered to be at the optimal end of the dimension. For example, higher father agreeableness strengthened the relation between higher frustration and reactive relational aggression. At the main effects level, low fearfulness was significantly associated with only the overt subtypes of aggression, and unexpectedly, higher frustration and lower effortful control were related to both proactive and reactive subtypes of aggression. A temperamentally vulnerable adolescent was also at greater risk of displaying aggressive behaviour when the father lacked emotional stability, but not the mother. These results are broadly consistent with the prediction that temperament risk factors are more strongly associated with aggression subtypes when an adolescent predisposition does not fit well with parent personality traits. Mechanisms pertaining to stress in the family environment and the fostering of self-regulation abilities are discussed with respect to why a poor fit between temperament and parent personality is predictive of adolescent differentiated aggression.

An Exploration of Male Adolescents' Body Image Perceptions

There has been an increasing concern among researchers and the general population of our culture's increasing emphasis on "ideal" physical attractiveness-for both females and males. Despite this growing concern, research on body image has focused primarily on women and girls, with little research aimed specifically for males. Prior research (Grogan & Richards, 2002; Hargreaves & Tiggemann, 2006) stated that body image was a "feminine" or a "gay" issue, according to men and boys. The present study investigates this issue, particularly within the theoretical framework of multiple selves and gender theories. This exploratory case study involved semi-structured interviews with six male adolescents between the ages of 13 and 18 years. Researcher's fieldnotes were taken after the interviews. Content analysis of the interviews and fieldnotes revealed that for these six male adolescents, body image is not relevant to them, as they think about and discuss their issues of physical appearance with family and close peers. Traditional stereotypic notions of masculinity and what it means to be an adolescent male for the participants are discussed within the context of developmentally appropriate and gender-inclusive curriculum.

Generating Relation Algebras for Qualitative Spatial Reasoning

Basic relationships between certain regions of space are formulated in natural language in everyday situations. For example, a customer specifies the outline of his future home to the architect by indicating which rooms should be close to each other. Qualitative spatial reasoning as an area of artificial intelligence tries to develop a theory of space based on similar notions. In formal ontology and in ontological computer science, mereotopology is a first-order theory, embodying mereological and topological concepts, of the relations among wholes, parts, parts of parts, and the boundaries between parts. We shall introduce abstract relation algebras and present their structural properties as well as their connection to algebras of binary relations. This will be followed by details of the expressiveness of algebras of relations for region based models. Mereotopology has been the main basis for most region based theories of space. Since its earliest inception many theories have been proposed for mereotopology in artificial intelligence among which Region Connection Calculus is most prominent. The expressiveness of the region connection calculus in relational logic is far greater than its original eight base relations might suggest. In the thesis we formulate ways to automatically generate representable relation algebras using spatial data based on region connection calculus. The generation of new algebras is a two pronged approach involving splitting of existing relations to form new algebras and refinement of such newly generated algebras. We present an implementation of a system for automating aforementioned steps and provide an effective and convenient interface to define new spatial relations and generate representable relational algebras.

Untangling the Organizational Ambiguities in Supply Chain Risk Recognition, Assessment, and Response: The Role of Network Embeddedness

In this thesis, I focus on supply chain risk related ambiguity, which represents the ambiguities firms exhibit in recognizing, assessing, and responding to supply chain disruptions. I, primarily, argue that ambiguities associated with recognizing and responding to supply chain risk are information gathering and processing problems. Guided by the theoretical perspective of bounded rationality, I propose a typology of supply chain risk related ambiguity with four distinct dimensions. I, also, argue that the major contributor to risk related ambiguity is often the environment, specifically the web of suppliers. Hence, I focus on the characteristics of these supplier networks to examine the sources of ambiguity. I define three distinct elements of network embeddedness – relational, structural, and positional embeddedness – and argue that the ambiguity faced by a firm in appropriately identifying the nature or impacts of major disruptions is a function of these network properties. Based on a survey of large North American manufacturing firms, I found that the extent of the relational ties a firm has and its position in the network are significantly related to supply chain risk related ambiguity. However, this study did not provide any significant support for the hypothesized relationship between structural embeddedness and ambiguity. My research contributes towards the study of supply chain disruptions by using the idea of bounded rationality to understand supply chain risk related ambiguity and by providing evidence that the structure of supply chain networks influences the organizational understanding of and responses to supply chain disruptions.

Living in the Skin That I Am: An Organizational Autoethnography of an Adult Educator's Plight to Survive the Stigma of Invisible and Episodic Disability in an Academy of Administritiva

Through the reflective lens of an adult educator with invisible and episodic disabilities, this paper has been written as an organizational autoethnography. Through a process of autoethnographical sensemaking, it is intended to illuminate important gaps in organizational theory. Feminist/relational care ethics, critical reflection, and transformative learning serve as the educational theories that comprise its framework. In telling my story, embodied writing and performance narrative are used to convey the felt existence of a body exposed through words—where my “abled” and “disabled” professional teaching and learning identities may be studied against the backdrop of organizational policies and procedures. Words used to describe unfamiliar experiences and situations shape meaning for which new meaning may emerge. At the conclusion of this paper, an alternative frame of reference—a view from the margins—may be offered to articulate authenticity in the expectancy of workplace equity for adult educators with disabilities. Taken collectively on a larger level, it is hoped that this research may provide a source of inspiration for systemic organizational change in adult learning environments.

Relationship Building with Aboriginal Elders in the Publicly Funded Secondary School Classroom: A Study of Ethical Space from an Aboriginal Persepective

This is a current story of ethical space in education that is often neglected in the design of educational experiences for Aboriginal students. This story is told through an Aboriginal lens rooted in the structured Two Row Wampum Belt relational agreement between Aboriginal peoples and Settlers. Through ethnographic narrative based on an extensive literature review, individual in-depth interviews, and a personal journal, this study documents the processes of acceptance, silence, complications, and then rejection to position Aboriginal Elders as inclusive bodies of knowledge in publicly funded secondary school classrooms. Aboriginal Elders are valued as Knowledge Holders, as Aboriginal teachers, guides, and mentors. Yet, the complexities of colonial rights, politics, and policies continue to intrude deeply into the lives of Aboriginal peoples to cause silence, confusion, and struggle rather than an evolution of new knowledge amongst two co-existing solitudes under the original terms of the Two Row Wampum Belt. The study was delayed and then came to an end when the school boards and local schools scrutinized its operating policies and unresolved funding issues. This study demonstrated that despite the Two Row Wampum Belt agreement that promised a co- existent relationship between Aboriginal peoples and Settlers, the strategy of inviting Aboriginal Elders to work alongside teachers in the classroom was viewed as being in conflict with the Settler’s institutional/educational objectivities, and, as such, was denied to Aboriginal students.

The Dynamic Interplay of Attachment and Temperament in Relation to Dimensions of Aggression

The current study examined whether overt and relational forms of reactive and proactive aggression were differentially related to adolescents’ temperament and attachment security. Measures of adolescents’ temperament, attachment security, and aggression were completed by 211 adolescents, ages 10–14, and their caregivers. Attachment security was consistently associated with all four dimensions of aggression, whereas proneness to frustration was found to be uniquely associated with reactive-overt aggression. Additionally, it was found that at lower levels of effortful control more secure attachment was related to lower levels of reactive-relational aggression. Results also indicated that, for girls, the relation between attachment and proactive-overt and proactive-relational aggression was only significant when effortful control was low. Conversely, for boys, the relation between attachment and proactive-overt aggression and proactive-relational aggression was significant when effortful control was high. Implications of these findings and limitations to the current study are discussed.

Teachers’ Beliefs and Perceptions of Bullying and Bullying Prevention Initiatives

While bullying prevention programs appear to be decreasing the number of bullying incidents overseas, bullying prevention programs here in Canada have not been proving as effective. Evaluations of bullying prevention programs often focus on the outcomes and neglect to examine the training regimen for teachers. As teachers are on the front lines of bullying prevention programs, the current study explored teachers’ beliefs about the various types of bullying, their perceptions of their own abilities (e.g., teacher bullying prevention efficacy (TBPE), self-concept, and theory of mind) to implement bullying prevention initiatives, and how the school climate may influence their efficacy beliefs. Participants in the current study were 61 Canadian teachers (n = 51 women), predominantly from Ontario. Participating teachers represented all elementary division levels (primary, junior, and intermediate). Participants’ teaching experience ranged from zero years of teaching (pre-service) to 28 years of experience (M = 10.50, SD = 7.35). It was found that participants reported a relatively high TBPE score, which was related to their likely intervention in cyberbullying situations but not for other forms of bullying situations. It was found that teachers were most likely to intervene in physical bullying than verbal, relational, and cyberbullying, respectively. TBPE was influenced by the school climate. Teachers’ scores on the theory of mind scale was not a significant indicator of any teachers’ bullying beliefs. Analyses exploring the relationship between bullying beliefs and self-concept, morality predicted teachers TBPE scores and the likelihood of intervention. Teachers’ recommendations for bullying prevention training and school bullying prevention programs were explored. Results are discussed in terms of implications for practice and future research.