Application of [Lambda] to the fourth perturbation theory in calculating the equation of state of rare gas solids and fcc metals

We have calculated the thermodynamic properties of monatomic fcc crystals from the high temperature limit of the Helmholtz free energy. This equation of state included the static and vibrational energy components. The latter contribution was calculated to order A4 of perturbation theory, for a range of crystal volumes, in which a nearest neighbour central force model was used. We have calculated the lattice constant, the coefficient of volume expansion, the specific heat at constant volume and at constant pressure, the adiabatic and the isothermal bulk modulus, and the Gruneisen parameter, for two of the rare gas solids, Xe and Kr, and for the fcc metals Cu, Ag, Au, Al, and Pb. The LennardJones and the Morse potential were each used to represent the atomic interactions for the rare gas solids, and only the Morse potential was used for the fcc metals. The thermodynamic properties obtained from the A4 equation of state with the Lennard-Jones potential, seem to be in reasonable agreement with experiment for temperatures up to about threequarters of the melting temperature. However, for the higher temperatures, the results are less than satisfactory. For Xe and Kr, the thermodynamic properties calculated from the A2 equation of state with the Morse potential, are qualitatively similar to the A 2 results obtained with the Lennard-Jones potential, however, the properties obtained from the A4 equation of state are in good agreement with experiment, since the contribution from the A4 terms seem to be small. The lattice contribution to the thermal properties of the fcc metals was calculated from the A4 equation of state, and these results produced a slight improvement over the properties calculated from the A2 equation of state. In order to compare the calculated specific heats and bulk moduli results with experiment~ the electronic contribution to thermal properties was taken into account~ by using the free electron model. We found that the results varied significantly with the value chosen for the number of free electrons per atom.

Agrarian revolution in Central America : a comparison of Nicaragua and Honduras using Jeffery Paige's theory of Agrarian revolution

ABSTRACT In 1979 Nicaragua, under the Sandinistas, experienced a genuine, socialist, full scale, agrarian revolution. This thesis examines whether Jeffery Paige's theory of agrarian revolutions would have been successful in predicting this revolution and ln predicting non-revolution in the neighboring country of Honduras. The thesis begins by setting Paige's theory in the tradition of radical theories of revolution. It then derives four propositions from Paige's theory which suggest the patterns of export crops, land tenure changes and class configurations which are necessary for an agrarian and socialist revolution. These propositions are tested against evidence from the twentieth century histories of economic, social and political change in Nicaragua and Honduras. The thesis concludes that Paige's theory does help to explain the occurrence of agrarian revolution in Nicaragua and non-revolution in Honduras. A fifth proposition derived from Paige's theory proved less useful in explaining the specific areas within Nicaragua that were most receptive to Sandinista revolutionary activity.

A System for Models of First Order Theories

If you want to know whether a property is true or not in a specific algebraic structure,you need to test that property on the given structure. This can be done by hand, which can be cumbersome and erroneous. In addition, the time consumed in testing depends on the size of the structure where the property is applied. We present an implementation of a system for finding counterexamples and testing properties of models of first-order theories. This system is supposed to provide a convenient and paperless environment for researchers and students investigating or studying such models and algebraic structures in particular. To implement a first-order theory in the system, a suitable first-order language.( and some axioms are required. The components of a language are given by a collection of variables, a set of predicate symbols, and a set of operation symbols. Variables and operation symbols are used to build terms. Terms, predicate symbols, and the usual logical connectives are used to build formulas. A first-order theory now consists of a language together with a set of closed formulas, i.e. formulas without free occurrences of variables. The set of formulas is also called the axioms of the theory. The system uses several different formats to allow the user to specify languages, to define axioms and theories and to create models. Besides the obvious operations and tests on these structures, we have introduced the notion of a functor between classes of models in order to generate more co~plex models from given ones automatically. As an example, we will use the system to create several lattices structures starting from a model of the theory of pre-orders.

Unveiling Shi’i Religious Identities: Case Studies of Hijab in Culturally Homogeneous Canadian Schools

This qualitative case study explored 10 young female Shi’i Muslim Arabic-Canadian students’ experiences associated with wearing the Hijab (headscarf) within their home, community, and predominantly White Canadian public elementary school environments. The study integrated several bodies of scholarly theories in order to examine the data under a set of comprehensive lenses that more fully articulates and theorizes on the diversity of female Shi’i Muslim Canadian students’ experiences. These theories are: identity theories with a focus on religious identity and negative stereotypes associated with Muslims; feminism and the Hijab discourses; research pertaining to Muslims in school settings; and critical race theory. In order to readdress the dearth of information about Shi’is’ experiences in schools, this study provides an in-depth case study analysis in which the methodology strategies included 10 semi-structured in-depth interviews, 2 focus-group meetings, and the incorporation of the researcher’s fieldnotes. Data analysis revealed the following themes corresponding to participants’ experiences and values in their social worlds of home, community, and schools: (a) martyrdom and self-sacrifice as a means for social justice; (b) transformational meaning of the Hijab; (c) intersectionality between culture, religion, and gender; and (d) effects of visits “back home” on participants’ religious identities. Additional themes related to participants’ school experiences included: (a) “us versus them” mentality; (b) religious and complex secular dialogues; (c) absence of Muslim representations in monocultural schools; (d) discrimination; (e) remaining silent versus speaking out; and (f) participants’ strategies for preserving their identities. Recommendations are made to integrate Shi’i Muslim females’ identity within the context of Islam and the West, most notably in relation to: (a) the role of Muslim community in nondiverse settings as a space that advances and nurtures Shi’i Muslim identity; and (b) holistic and culturally responsive teaching that fosters respect of others’ religiosity and spirituality. This study makes new inroads into feminist theorizing by drawing conceptual links between these previously unknown connections such as the impact of the historical female exemplary role model and the ritual stories on the experiences of Muslim females wearing the Hijab.

The relationship between working alliance and treatment outcomes in remedial instruction for older dyslexic children

Research in psychotherapy has demonstrated that a positive working alliance between therapist and client leads to positive treatment outcomes. Though its focus is in the area of psychotherapy, the concept of working alliance holds significant value to the area of education. Current applications of the theory in educational settings have looked at relationships between teacher and students in the broad context of classroom interaction and found significant promise. The present study investigates the application of the theory of working alliance in a sample of older reading disabled children. The study examined the psychometric properties of the Reading Alliance Scale for Children (RASC) and for Teachers (RAST) in relation to student reading ability and motivation. A sample of 254 (66.1 % male, 33.9% female) grade 6-8 students (mean age 12.7 years) were enrolled in a remedial reading program for reading disabled children. The average standard score across multiple reading measures was more than 1 SD below age-level expectations. Students responded to measures of reading achievement and motivation at pretest, after 70 hours (post 70) of remediation and at the end of the program (post 125). All participants completed measures on the working alliance relationship at post 70 and post 125. Results showed that teacher reports were most predictive of outcome compared to student reports of the working alliance relationship. Working alliance was correlated with posttest reading ability and motivation. Male students and Black students obtained the weakest working alliance reports from their teacher. Overall, findings support the view that students' relationships with teachers provide an important component of success in the classroom.

Inviting Leadership From a Belfast Bedroom: Invitational Leadership in Contemporary Schools

Educational leadership is challenging, complex, and vitally important to student success. Despite the publication of theories, books, and research on school leadership, a perception of a chasm between theory and practice exists. However, the intentional consideration and implementation of theory can make an enormous impact on practice. This is revealed in this dissertation through the exploration of invitational leadership theory through an autoethnographic study of my leadership journey, as well as the intentionally inviting leadership of Billy Tate, a veteran school principal in Belfast, Northern Ireland. This dissertation uses an amalgamated methodology of interview and observational research embedded within an autoethnography to intimately explore invitational theory in practice through the lens of a new school principal in Southern Ontario and a veteran principal in Belfast. This study provides an intimate understanding of the impact and applicability of invitational educational leadership theory in two unique educational, political, and social contexts and draws conclusions from the consideration of and reflection upon my leadership and Billy Tate’s. This dissertation reveals invitational leadership as a theory of practice that has significantly influenced two very different school leaders and posits that invitational theory is a theory of practice worthy of consideration by educational leaders from around the world.

Comparing motives, goals and weight training behaviours of competitive and recreational weight trainers: An application of organismic integration theory and goal contents theory

The study purpose was to examine differences between competitive and recreational weight trainers on indices of motivation, goals and behaviour. Data was collected from a purposive sample of competitive (n = 177; Mage = 30.86; SDage = 11.35) and recreational (n = 196; Mage = 21.97; SDage = 6.05) weight trainers using a cross-sectional, non-experimental design. Participants completed the Behavioural Regulation in Exercise Questionnaire-2R, Exercise Motivations Inventory-2, assessment of weight training behaviour and demographic questions. Multivariate analyses of variance indicated higher endorsement of autonomous motives and mostly intrinsically-oriented goals, while independent samples t-tests indicated higher frequency of weight training behaviour among the competitive weight trainers. Group differences were independent of demographic factors. Findings suggest that autonomous motives and intrinsic goals may not be undermined by competition among competitive weight trainers. This study also provides support for the utility of organismic integration theory and goal contents theory in examining strength-based exercise.