4,553 research outputs found

### Beyond Attendance: Key Determinants to Improve Studentsâ€™ Course Performance at a Small Liberal Arts College

The improvement of college studentsâ€™ course performance is an important topic for instructors. Many researchers have found an inverse relationship between number of absences and course performance, suggesting that attendance matters for studentsâ€™ course performance. The author considers that attendance alone is not the only determinant of studentsâ€™ course performance. This paper investigates key determinants other than attendance to improve studentsâ€™ course performance. Three factorsâ€”being an economics major, prerequisite economics course performance, and office visits to the instructorâ€”were considered to help students to improve their course performance. In this research, data from students who attended intermediate microeconomics and macroeconomics courses over the past five years at a small liberal arts college were analyzed, using a pooled ordinary least square regression method, to examine these hypotheses. A main finding includes that two of these hypotheses, concerning prerequisite economics course performance and office visits to the instructor, were supported. This paper also found some other factors that had a significant effect on improvement of studentsâ€™ course performance while it was observed that attendance was not always the key determinant

### Conjectures on the distribution of roots modulo a prime of a polynomial

For a given monic integral polynomial $f(x)$ of degree $n$, we define local roots $r_i$ of $f(x)$ for a completely decomposable prime $p$ by $r_i \in \mathbb{Z}$, $f(r_i) \equiv 0 \bmod p$ and $0 \le r_1 \le r_2 \le \dots \le r_n < p$. With numerical data, we propose a conjecture on the distribution of $(r_1/p,\dots,r_n/p)$, which is a new kind of equi-distribution, and a conjecture of the distribution of $(r_1,\dots,r_n)$ which satisfies $r_i \equiv R_i \bmod L$ for given natural numbers $L,R_1,\dots,R_n$, which is nothing but Dirichlet's theorem on an arithmetic progression in the case $n = 1$

### The Effect of U.S. Import Tariff Reductions on Expanded Wage Inequality

There is still considerable disagreement among researchers whether trade liberalization can explain the rising wage inequality. The wage inequality between skilled workers and unskilled workers expanded in the U.S. manufacturing industries during 1980 through 2000. Meanwhile, NAFTA (North American Free Trade Agreement) has provided us with the opportunity to observe the effect of significant tariff reduction during the same period. The purpose of this paper is to examine the contribution of the reductions of U.S. import tariffs from NAFTA countries Canada and Mexico to that expanding wage inequality during 1980 through 2000. Based on the essential idea of Stolper and Samuelson (1941) and following the method of Haskel and Slaughter (2003), the relationship between product prices and U.S. tariff rates is estimated first and the effect of tariff-induced product prices on wage changes is then estimated. Based on a newly developed industrial classification code, this paper finds significant evidence that U.S. tariff reductions on both Canadian imports and Mexican imports expanded wage inequality between skilled workers and unskilled workers in U.S. manufacturing industries during the period considered. That is, a 1 percent reduction of U.S. tariffs on imports from Canada resulted in a mandated rise in the wage gap by 0.69 percent. A similar result was obtained for Mexican imports, in which a 1 percent reduction of U.S. tariffs on imports from Mexico resulted in a mandated rise in the wage gap by 0.57 percent. These results indicate that U.S. tariff reduction hurts unskilled workers in manufacturing industries, which does not match the result from Haskel and Slaughter (2003), who found no significant evidence that tariff reductions widened wage inequality in the United States

### Analytic torsions associated with the Rumin complex on contact spheres

We explicitly write down all eigenvalues of the Rumin Laplacian on the standard contact spheres, and express the analytic torsion functions associated with the {Rumin complex} in terms of the Riemann zeta function. In particular, we find that the functions vanish at the origin and determine the analytic torsions.Comment: 13 page
• â€¦