Examining Political Discourse on Online 8Kun and Reddit Forums

A recent example of political violence in the United States was that of the January 6, 2021, Capitol attack in connection with the certification of Joseph R. Biden’s victory over Donald J. Trump in the 2020 US presidential election. This thesis analyzes the events of January 6, 2021, through the lens of social media discourse. This thesis presents a workflow that acquired over 5 million 8kun and Reddit posts from various apolitical and political forums in the three months preceding and following the Capitol attack on January 6, 2021. Techniques from text analysis are then used to group forums according to the similarities of their posting patterns. Five main groups of forums are identified. Finally, this thesis analyzes these forums for feelings of isolation and displacement from society in connection with the events of January 6, 2021. Such feelings were not clearly identified. This thesis demonstrates the challenges and opportunities of scraping and analyzing social media data

On Tournaments with Non-Integer Weighted Arcs

A tournament matrix is a square 0-1 matrix which satisfies: A+A^T = J-I, where J is the all one\u27s matrix, and I is the identity matrix. A generalized tournament matrix is a non-negative square matrix which satisfies A+A^T = J-I. We define several polytopes within generalized tournament matrices and subsets thereof. Results about extreme values and the polytope are given. In addition, we define an expected tournament from a generalized tournament matrix and give results with respect to the polytopes and score sequences of a tournament

Probability of Score Sequences

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