Mathematics
http://hdl.handle.net/10139/773
2019-03-26T23:01:04ZPascal's Pyramidions and Simplexes and their Fractal Dimensions
http://hdl.handle.net/10211.3/207823
Pascal's Pyramidions and Simplexes and their Fractal Dimensions
Howe, Kevin R.
2018-12-01T00:00:00ZStatistical Analysis of Stability of Repacked Pharmaceutical Products
http://hdl.handle.net/10211.3/207594
Statistical Analysis of Stability of Repacked Pharmaceutical Products
Lee, Seungju
Packaging/repackaging is essential to ensure pharmaceutical productâ€™s stability (i.e. efficacy and safety). Before processing to package/repackage products into container/closures, there must be evidence to verify its stability. The most common verification methods are real-time study and statistical analysis. Real-time study can be very accurate, but it is also timeconsuming, which is inadequate for industry use. On the other hand, statistical analysis is appropriate for industry use since it can take short-term data and obtain the results quickly. In particular, we apply regression analysis on pharmaceutical product container/closure data along its decision-making framework to determine a container height 95% confidence interval and estimate the shelf life. Using a freeware program R, we are able to conduct the analysis more quickly and efficiently.
2018-12-01T00:00:00ZMatrix Triplet Factorization of Polynomial Type
http://hdl.handle.net/10211.3/207593
Matrix Triplet Factorization of Polynomial Type
Toledo, Ivan
2018-12-01T00:00:00ZGraphwise Relatively Prime Densities
http://hdl.handle.net/10211.3/207185
Graphwise Relatively Prime Densities
Chen, Vickie V.
Recent progress has been made toward understanding the density that k integers are G-wise relatively prime as a limiting form of a uniform distribution motivate this work. Fix a positive integer k and let G be a simple graph with k vertices that are arbitrary integers. We say that these integers are G-wise relatively prime if for any pair of vertices joined by an edge, the corresponding integers are relatively prime. Observe that if G is a complete graph, then this reduces to the notion of integers being pairwise relatively prime. From this
foundation, we can compute the density that k integers are G-wise relatively prime. The main objective of this thesis is to extend the notion of G-wise relative primality to rings of algebraic integers and to rings of polynomials over a finite field.
2018-11-01T00:00:00Z