This collection includes both ASU Theses and Dissertations, submitted by graduate students, and the Barrett, Honors College theses submitted by undergraduate students. 

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Description
Partial differential equation (PDE) models are widely used for modeling processes in the physical sciences, economics, and sociology, but are otherwise new to the realm of social media. They allow researchers to construct a single spatiotemporal mathematical model to predict, in the case of this study, the level of information

Partial differential equation (PDE) models are widely used for modeling processes in the physical sciences, economics, and sociology, but are otherwise new to the realm of social media. They allow researchers to construct a single spatiotemporal mathematical model to predict, in the case of this study, the level of information saturation at particular points in space at specific times. Utilizing data from the popular social network Twitter, this study presents a preliminary work looking into the effects of aggregating spatial data on such a PDE model. In other literature, the source of analytical and statistical bias that results from arbitrary spatial aggregation is known as the modifiable areal unit problem (MAUP). We use a previously-studied dataset from the 2011 Egyptian revolution for simulation, and group data points using several distance metrics based on geographical location and geo-cultural similarity. This paper will attempt to show that a PDE model, necessarily dependent upon aggregating data, is subject to significant bias when said data are arbitrarily organized and grouped for simulation. We look primarily into the zoning problem, which amounts to maintaining a fixed number of regions located in different areas across the globe, but make note of the scale problem, an inherent issue in PDE modeling that results from aggregating data points into increasingly larger regions. From looking at specific values from each simulation, this study shows that such a model is not free from the MAUP and that consideration of how data are aggregated needs to be made for future studies. In addition, it also suggests that geo-political and geo-cultural spatial metrics generate better diffusive patterns for tweet propagation than do simple geographical proximity metrics.
ContributorsRaymond, Ross Edward Scott (Author) / Kwon, Kyounghee Hazel (Thesis director) / Gruber, Diane (Committee member) / School of Mathematical and Natural Sciences (Contributor) / Barrett, The Honors College (Contributor)
Created2016-05
Description
It seems that we are incessantly scolded about the importance of the American political process and its virtue of practicality in contemporary society. Whether through the accumulation of the so-called facts about the issues that inform the veneration of the contest between candidates, the stern and noble duty of becoming

It seems that we are incessantly scolded about the importance of the American political process and its virtue of practicality in contemporary society. Whether through the accumulation of the so-called facts about the issues that inform the veneration of the contest between candidates, the stern and noble duty of becoming an activist performing dreary tasks, or the religious fervor surrounding the sacred obligation of voting, we are assured and reassured that our system is sound and that we must only confront problems of implementation rather than structural ones. From here, the narrative goes that if we subscribe to the doctrine of exclusively employing the efficient, strictly rational, and the immediately realistic, we will almost assuredly succeed in persuading others toward producing the resolutions required to solve our shared challenges. Admittedly, these ideas serve a role in addressing the issues we face. However, when unaided by sophisticated and nuanced notions and applications of the fantastic, the beautiful, the ideal, the possible, the playful, the useless, in a word, dreaming, we foreclose the possibility of building a future that can qualitatively improve society and more meaningfully elevate our being-with-one-another in the world. Therefore, this work aims to validate the aforementioned claim by engaging in a critical, political, and hermeneutic exploration of what it means to dream against the backdrop of present-day American politics. It will honestly seek to analyze the prevailing notions of contemporary western thought and action to work on the way toward a new, yet latent, way of understanding. This understanding would fundamentally revolutionize the task of civilization as being grounded upon the appropriate channeling of our desires and dissatisfactions toward actualizing the projections of our imagination. Simply put, this project seeks to repudiate the mandate of work as toil and order as oppression to clear the way for envisioning a more suitable alternative.
ContributorsGoldsmith, Adam Jay (Author) / Ramsey, Ramsey Eric (Thesis director) / Gruber, Diane (Committee member) / School of Mathematical and Natural Sciences (Contributor) / School of Humanities, Arts, and Cultural Studies (Contributor) / Barrett, The Honors College (Contributor)
Created2016-05