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Full-Text Articles in Applied Mathematics
Complements To Classic Topics Of Circles Geometry, Florentin Smarandache, Ion Patrascu
Complements To Classic Topics Of Circles Geometry, Florentin Smarandache, Ion Patrascu
Branch Mathematics and Statistics Faculty and Staff Publications
We approach several themes of classical geometry of the circle and complete them with some original results, showing that not everything in traditional math is revealed, and that it still has an open character. The topics were chosen according to authors’ aspiration and attraction, as a poet writes lyrics about spring according to his emotions.
Minimizing Travel Time Through Multiple Media With Various Borders, Tonja Miick
Minimizing Travel Time Through Multiple Media With Various Borders, Tonja Miick
Masters Theses & Specialist Projects
This thesis consists of two main chapters along with an introduction and
conclusion. In the introduction, we address the inspiration for the thesis, which
originates in a common calculus problem wherein travel time is minimized across two media separated by a single, straight boundary line. We then discuss the correlation of this problem with physics via Snells Law. The first core chapter takes this idea and develops it to include the concept of two media with a circular border. To make the problem easier to discuss, we talk about it in terms of running and swimming speeds. We first address …