...Suppose that R on A is antisymmetric. Let R = {(m, n): m, n ? A}. Therefore, by definition of inverse relation, R-1 = {(n, m): m, n ? A}. Let (m, n) ? (R n R-1). By definition of intersection, (m, n) ? R and (m, n) ? R-1. Because (m, n) ? R-1, (n, m) ? R. (read more)
I am a New York State certified Mathematics Teacher (grades 7-12) and currently work as an associate consultant for Weaver Recovery Consulting, an emergency management company. I graduated with a Bachelor's degree from SUNY Oswego in 2014. I double majored in Physics (B.S.) and Mathematics (B.A.) and acquired a cumulative GPA of 3.76. (read more)
...Naval Academy. I earned A's in each of my Electrical Engineering courses. I tutored calculus and calculus-based physics for 2 1/2 years. (read more)