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Full-Text Articles in Physical Sciences and Mathematics
Sentiment Analysis Before And During The Covid-19 Pandemic, Emily Musgrove
Sentiment Analysis Before And During The Covid-19 Pandemic, Emily Musgrove
Mathematics Summer Fellows
This study examines the change in connotative language use before and during the Covid-19 pandemic. By analyzing news articles from several major US newspapers, we found that there is a statistically significant correlation between the sentiment of the text and the publication period. Specifically, we document a large, systematic, and statistically significant decline in the overall sentiment of articles published in major news outlets. While our results do not directly gauge the sentiment of the population, our findings have important implications regarding the social responsibility of journalists and media outlets especially in times of crisis.
The Commutant Of The Fourier–Plancherel Transform, Brianna Cantrall
The Commutant Of The Fourier–Plancherel Transform, Brianna Cantrall
Honors Theses
One can see that this matrix is unitary and has eigenvalues {1,−i,−1, I}, each of infinite multiplicity. Throughout the remainder of this thesis, we will convince the reader that the above linear transformation is actually the Fourier transform. We will compute the commutant, as well as its invariant subspaces. The key to do this relies on the Hermite polynomials. Why do we recast the Fourier transform from its well-known and well studied integral form to the matrix form shown above? As we will see, the matrix form allows us to efficiently discover the operator theory of the Fourier transform obfuscated …