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Full-Text Articles in Physical Sciences and Mathematics
Some Combinatorial Applications Of Sage, An Open Source Program, Jessica Ruth Chowning
Some Combinatorial Applications Of Sage, An Open Source Program, Jessica Ruth Chowning
Masters Theses
"In this thesis, we consider the usefulness of Sage, an online and open-source program, in analyzing permutation puzzles such as the Rubik's cube and a specific combinatorial structure called the projective plane. Many programs exist to expedite calculations in research and provide previously-unavailable solutions; some require purchase, while others, such as Sage, are available for free online. Sage is asked to handle a small permutation puzzle called Swap, and then we explore how it calculates solutions for a Rubik's cube. We then discuss projective planes, Sage's library of functions for dealing with projective planes, and how they relate to the …
Day Of The Week Effect In Returns And Volatility Of The S&P 500 Sector Indices, Juan Liu
Day Of The Week Effect In Returns And Volatility Of The S&P 500 Sector Indices, Juan Liu
Masters Theses
"Previous studies have shown that returns associated with the stock market or foreign exchange's futures show variations across the day of the week. On such study, that employs a modified GARCH model for estimation, shows that returns associated with the S&P 500 stock index is highest on Wednesday and lowest returns on Monday. The same study shows that volatility is highest on Fridays and lowest on Wednesdays. In this study we investigate if this day-of-the-week effect on returns and volatility is present in the different sectors that constitute the S&P 500 index. The data set used provides daily returns from …
Generation And Validation Of Optimal Topologies For Solid Freeform Fabrication, Purnajyoti Bhaumik
Generation And Validation Of Optimal Topologies For Solid Freeform Fabrication, Purnajyoti Bhaumik
Masters Theses
"The study of fabricating topologically optimized parts is presented hereafter. The mapping of topology optimization results for Standard Tessellation Language (STL) writing would enable the solid freeform fabrication of lightweight mechanisms. Aerospace leaders such as NASA, Boeing, Airbus, European Aeronautic Defense And Space Company (EADS), and GE Aero invest in topology optimization research for the production of lightweight materials. Certain concepts such as microstructural homogenization, discretization, and mapping are reviewed and presented in the context of topology optimization. Future biomedical applications of solid freeform fabrication such as organ printing stand to save millions of lives through the robust development of …