On the path integral formulation and the evaluation of quantum statistical averages

Four problems of physical interest have been solved in this thesis using the path integral formalism. Using the trigonometric expansion method of Burton and de Borde (1955), we found the kernel for two interacting one dimensional oscillators• The result is the same as one would obtain using a normal coordinate transformation, We next introduced the method of Papadopolous (1969), which is a systematic perturbation type method specifically geared to finding the partition function Z, or equivalently, the Helmholtz free energy F, of a system of interacting oscillators. We applied this method to the next three problems considered• First, by summing the perturbation expansion, we found F for a system of N interacting Einstein oscillators^ The result obtained is the same as the usual result obtained by Shukla and Muller (1972) • Next, we found F to 0(Xi)f where A is the usual Tan Hove ordering parameter* The results obtained are the same as those of Shukla and Oowley (1971), who have used a diagrammatic procedure, and did the necessary sums in Fourier space* We performed the work in temperature space• Finally, slightly modifying the method of Papadopolous, we found the finite temperature expressions for the Debyecaller factor in Bravais lattices, to 0(AZ) and u(/K/ j,where K is the scattering vector* The high temperature limit of the expressions obtained here, are in complete agreement with the classical results of Maradudin and Flinn (1963) .

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.

Representations of swinging London in 1960s British cinema : Blowup (1966), Smashing Time (1967), and Performance (1970)

This thesis explores the representation of Swinging London in three examples of 1960s British cinema: Blowup (Michelangelo Antonioni, 1966), Smashing Time (Desmond Davis, 1967) and Performance (Donald Cammell and Nicolas Roeg, 1970). It suggests that the films chronologically signify the evolution, commodification and dissolution of the Swinging London era. The thesis explores how the concept of Swinging London is both critiqued and perpetuated in each film through the use of visual tropes: the reconstruction of London as a cinematic space; the Pop photographer; the dolly; representations of music performance and fashion; the appropriation of signs and symbols associated with the visual culture of Swinging London. Using fashion, music performance, consumerism and cultural symbolism as visual narratives, each film also explores the construction of youth identity through the representation of manufactured and mediated images. Ultimately, these films reinforce Swinging London as a visual economy that circulates media images as commodities within a system of exchange. With this in view, the signs and symbols that comprise the visual culture of Swinging London are as central and significant to the cultural era as their material reality. While they attempt to destabilize prevailing representations of the era through the reproduction and exchange of such symbols, Blowup, Smashing Time, and Performance nevertheless contribute to the nostalgia for Swinging London in larger cultural memory.

Enabling and Measuring Complexity in Evolving Designs using Generative Representations for Artificial Architecture

As the complexity of evolutionary design problems grow, so too must the quality of solutions scale to that complexity. In this research, we develop a genetic programming system with individuals encoded as tree-based generative representations to address scalability. This system is capable of multi-objective evaluation using a ranked sum scoring strategy. We examine Hornby's features and measures of modularity, reuse and hierarchy in evolutionary design problems. Experiments are carried out, using the system to generate three-dimensional forms, and analyses of feature characteristics such as modularity, reuse and hierarchy were performed. This work expands on that of Hornby's, by examining a new and more difficult problem domain. The results from these experiments show that individuals encoded with those three features performed best overall. It is also seen, that the measures of complexity conform to the results of Hornby. Moving forward with only this best performing encoding, the system was applied to the generation of three-dimensional external building architecture. One objective considered was passive solar performance, in which the system was challenged with generating forms that optimize exposure to the Sun. The results from these and other experiments satisfied the requirements. The system was shown to scale well to the architectural problems studied.

A Study of Ordered Gene Problems Featuring DNA Error Correction and DNA Fragment Assembly with a Variety of Heuristics, Genetic Algorithm Variations, and Dynamic Representations

Ordered gene problems are a very common classification of optimization problems. Because of their popularity countless algorithms have been developed in an attempt to find high quality solutions to the problems. It is also common to see many different types of problems reduced to ordered gene style problems as there are many popular heuristics and metaheuristics for them due to their popularity. Multiple ordered gene problems are studied, namely, the travelling salesman problem, bin packing problem, and graph colouring problem. In addition, two bioinformatics problems not traditionally seen as ordered gene problems are studied: DNA error correction and DNA fragment assembly. These problems are studied with multiple variations and combinations of heuristics and metaheuristics with two distinct types or representations. The majority of the algorithms are built around the Recentering- Restarting Genetic Algorithm. The algorithm variations were successful on all problems studied, and particularly for the two bioinformatics problems. For DNA Error Correction multiple cases were found with 100% of the codes being corrected. The algorithm variations were also able to beat all other state-of-the-art DNA Fragment Assemblers on 13 out of 16 benchmark problem instances.

Prime Rational Functions and Integral Polynomials

Let f(x) be a complex rational function. In this work, we study conditions under which f(x) cannot be written as the composition of two rational functions which are not units under the operation of function composition. In this case, we say that f(x) is prime. We give sufficient conditions for complex rational functions to be prime in terms of their degrees and their critical values, and we derive some conditions for the case of complex polynomials. We consider also the divisibility of integral polynomials, and we present a generalization of a theorem of Nieto. We show that if f(x) and g(x) are integral polynomials such that the content of g divides the content of f and g(n) divides f(n) for an integer n whose absolute value is larger than a certain bound, then g(x) divides f(x) in Z[x]. In addition, given an integral polynomial f(x), we provide a method to determine if f is irreducible over Z, and if not, find one of its divisors in Z[x].

Auditoría integral : importancia en la aplicación al sector público.

Tesis (Maestría en Contaduría Pública con Especialidad en Auditoría) UANL

Evaluación del acuitardo somero en la región de Mendéz, Tamaulipas y sus aplicaciones para instalación de un centro integral para el manejo y aprovechamiento de residuos industriales

Tesis (Maestría en Ciencias con Especialidad en Hidrología Subterranea) UANL

Incremento en la participación de los niños a los campamentos infantiles de verano de la Facultad de Organización Deportiva, favorecida por el cambio de programa integral, al programa acuático

Tesis (Maestría en Ciencias del Ejercicio con Especialidad en Alto Rendimiento) UANL

Propuesta de una metodología de evaluación del sistema integral del tránsito metropolitano

Tesis (Maestría en Ciencias con Especialidad en Ingenieria de Tránsito) UANL

Impacto de un programa de atención nutriológica integral en el tratamiento de la obesidad

Tesis (Maestría en Salud Pública con Especialidad en Nutrición Comunitaria) UANL.

Calidad integral [por] Alfonso Gerardo Vargas Bueno

Tesis (Maestría en Ciencias de la Administración, con especialidad en Producción y Calidad) U.A.N.L. - 1993

La cooperación intermunicipal como alternativa de desarrollo integral

UANL

Liderazgo integral [por] Andy Javier Correa Montejo

Tesis (Maestría en Administración de Empresas) U.A.N.L.

Elementos para una auditoría ambiental integral por Gabriela Medellín Palacios

Tesis (Maestría en Ciencias con Especialidad en Ingeniería Ambiental) U.A.N.L.