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Full-Text Articles in Physical Sciences and Mathematics
Towards Analytical Techniques For Systems Engineering Applications, Griselda Valdepeñas Acosta
Towards Analytical Techniques For Systems Engineering Applications, Griselda Valdepeñas Acosta
Open Access Theses & Dissertations
One of the main objectives of systems engineering is to design, maintain, and analyze systems that help the users. To design an appropriate system for an application domain, we need to know: what are the users' desires and preferences (so that we know in what direction we should aim to change this domain), what is the current state and what is the dynamics of this application domain, and how to use all this information to select the best alternatives for the system design and maintenance. Designing a system includes selecting numerical values for many of the parameters describing the corresponding …
Cantor Sets, Cantorvals, And Their Topological Structure, Ángel Adrián Agüero
Cantor Sets, Cantorvals, And Their Topological Structure, Ángel Adrián Agüero
Open Access Theses & Dissertations
With interesting topological properties, the Cantor set is worth studying for itself. In other areas, topological structures arise that are in fact homeomorphic to the Cantor set. In particular, we see sets that are homeomorphic to the Cantor set which result from the subsums of particular series, as well as linear combinations of algebraic sums of Cantor sets. These also result in what has been termed a Cantorval, which we also investigate.