...Notice that m and n are equal elements of A, and that (m, n) ? (R n R-1). Therefore, ? (m, n) ? (R n R-1), (m, n) ? {(a, a): a ? A}. Thus, by definition of subset, (R n R-1) ? {(a, a): a ? A}. Therefore, if R on A is antisymmetric, R n R-1 ? {(a, a): a ? A}.
It has been shown that if R n R... (read more)
...I double majored in Physics (B.S.) and Mathematics (B.A.) and acquired a cumulative GPA of 3.76. In 2018 I graduated with a Master's degree in Adolescent Education from SUNY Oswego. I have experience with various math and physics subjects, including Algebra, Trigonometry, Precalculus, Geometry,... (read more)
...I have a Bachelor of Science degree in Systems Engineering from the U.S. Naval Academy, and a Master of Education degree from Norwich University. I achieved perfect math scores of 800 on both the SAT and the GRE. (read more)