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Counting Conjugacy Classes of Elements of Finite Order in Compact Exceptional Groups
Given a compact exceptional group and , let be the number of conjugacy classes of elements of order in , and the number of such classes whose elements have distinct eigenvalues. In string theory, the problem of enumerating certain classes of vacua in the string landscape can be rephrased in terms of the study of these quantities. We develop unified combinatorial algorithms based on Burnside\u27s Lemma that can be used to compute both quantities for each of the five compact exceptional groups. Thus, we provide a combinatorial, alternative method to that of Djoković and extend previous results obtained by Friedmann-Stanley for the compact classical groups
You\u27re Hired: An Analysis of the Determinants of the Hiring of Head Coaches in College Women\u27s Soccer
Despite the Passage of Title IX in 1972, women remain underrepresented in head coaching positions in women’s college soccer in the United States. This study analyzes the determinants of the hiring of female head coaches in NCAA college women’s soccer. I collected all possible seasons of data (1967-2019) for every school that has a women’s soccer program (n=1039 schools) and analyze the likelihood of a female head coach being hired. The results of logistic regression analysis indicate that female coaches are less likely to be hired following strong team performance supporting the glass cliff theory. Further, gender of the previous coach and gender of the athletic director are both significant predictors of whether female head coaches are hired at any point in time and the results for the year variable also revealed that female hires were less likely to occur later in the sample period. However, year is the only significant predictor of whether female head coaches are hired conditional on a hire occurring
Doors Pushed Open: For Devin Gibbs, College seemed like a longshot--until it wasn\u27t
Before enrolling, Devin Gibbs ’14 received an invitation from Colby. The letter offered to bring him to campus and provide accommodations so he could get a feel for the school. What it didn’t say was he had, in essence, been admitted. Gibbs, who lived in Waterville just minutes from campus, thought the letter was a scam. “I had never gotten anything for free before,” he said
The Scoop on Marketing: Maine Ice-Cream Maker Turns to Colby Team to Help Strengthen Its Brand in New England
As students lined up in the bustling Colby Spa, John Violette ’21 scooped vanilla ice cream into small paper cups. “Just remember how they taste,” said Justin Laughlin ’21 as students dug in—and then recorded their reactions. Airy, creamy, fluffy… Heavy, sugary, watery
For Students, Gifts with Impact
A vibrant arts community melding programs on and off campus, accomplished writers in residence who will work, teach, and engage with students, and a new curriculum designed to enhance verbal communications skills vital to success in a myriad of fields. These are among the significant enhancements announced at the College this fall