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Full-Text Articles in Physical Sciences and Mathematics

The Knapsack Subproblem Of The Algorithm To Compute The Erdos-Selfridge Function, Brianna Sorenson Jan 2020

The Knapsack Subproblem Of The Algorithm To Compute The Erdos-Selfridge Function, Brianna Sorenson

Undergraduate Honors Thesis Collection

This thesis summarizes the methodology of a new algorithm to compute the Erdos-Selfridge function which uses a wheel sieve, shows that a knapsack algorithm can be used to minimize the work needed to compute these values by selecting a subset of rings for use in the wheel, and compares the results of several different knapsack algorithms in this particular scenario.


Model-Based Cluster Analysis Of Indiana Social Security Beneficiary Data, Gwendolyn Spencer Jan 2020

Model-Based Cluster Analysis Of Indiana Social Security Beneficiary Data, Gwendolyn Spencer

Undergraduate Honors Thesis Collection

Annual reports of the U.S. Old-Age, Survivors, and Disability Insurance (OASDI) program, published by the Social Security Administration, detail the aggregate information about the program for each U.S. Postal ZIP code. This information includes the types of beneficiaries and monthly benefits received. These reports present the opportunity for contemporary analysis of the aggregate information about the OASDI program. To better capture the significance of the most-recent report for 2018, this project will use model-based cluster analysis, the unsupervised machine-learning process of grouping similar data points, to compare the 2017 and 2018 data. Due to the large amount of data, the …


The Characterization And Reactivity Of Tris(4-Methylpyrazolyl)Methane And Its Tungsten And Molybdenum Metal Complexes, Julia M. Pomeroy Jan 2020

The Characterization And Reactivity Of Tris(4-Methylpyrazolyl)Methane And Its Tungsten And Molybdenum Metal Complexes, Julia M. Pomeroy

Undergraduate Honors Thesis Collection

The scorpionate ligand tris(pyrazolyl)borate (Tp) has contributed to the understanding of coordination and organometallic chemistry and has proven to be useful in the synthesis of metalloprotein models. Studies focusing on the similar ligand, tris(pyrazolyl)methane (Tpm), have recently been made possible with improved synthetic techniques. Characterization of the Tpm ligand and its metal derivatives, [TpmW(CO)3L]+ and [TpmMo(CO)3L]+, unveiled unexpected activity in the 1H NMR chemical shift of the methane hydrogen after the coordination of a seventh ligand. The more electronegative the seventh ligand was, the more downfield the chemical shift appeared. Various analogs of Tpm have since been synthesized that substitute …