669 resultados para Mathematical-theory


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Previous work by Professor John Frazer on Evolutionary Architecture provides a basis for the development of a system evolving architectural envelopes in a generic and abstract manner. Recent research by the authors has focused on the implementation of a virtual environment for the automatic generation and exploration of complex forms and architectural envelopes based on solid modelling techniques and the integration of evolutionary algorithms, enhanced computational and mathematical models. Abstract data types are introduced for genotypes in a genetic algorithm order to develop complex models using generative and evolutionary computing techniques. Multi-objective optimisation techniques are employed for defining the fitness function in the evaluation process.

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For the most part, the literature base for Integrated Marketing Communication (IMC) has developed from an applied or tactical level rather than from an intellectual or theoretical one. Since industry, practitioner and even academic studies have provided little insight into what IMC is and how it operates, our approach has been to investigate that other IMC community, that is, the academic or instructional group responsible for disseminating IMC knowledge. We proposed that the people providing course instruction and directing research activities have some basis for how they organize, consider and therefore instruct in the area of IMC. A syllabi analysis of 87 IMC units in six countries investigated the content of the unit, its delivery both physically and conceptually, and defined the audience of the unit. The study failed to discover any type of latent theoretical foundation that might be used as a base for understanding IMC. The students who are being prepared to extend, expand and enhance IMC concepts do not appear to be well-served by the curriculum we found in our research. The study concludes with a model for further IMC curriculum development.

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We consider boundary layer flow of a micropolar fluid driven by a porous stretching sheet. A similarity solution is defined, and numerical solutions using Runge-Kutta and quasilinearisation schemes are obtained. A perturbation analysis is also used to derive analytic solutions to first order in the perturbing parameter. The resulting closed form solutions involve relatively complex expressions, and the analysis is made more tractable by a combination of offline and online work using a computational algebra system (CAS). For this combined numerical and analytic approach, the perturbation analysis yields a number of benefits with regard to the numerical work. The existence of a closed form solution helps to discriminate between acceptable and spurious numerical solutions. Also, the expressions obtained from the perturbation work can provide an accurate description of the solution for ranges of parameters where the numerical approaches considered here prove computationally more difficult.