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A relation R on a set A is antisymmetric if and only if R n R-1 ? {(a, a): a ? A}.
It will first be shown that if R n R-1 ? {(a, a): a ? A}, R on A is antisymmetric. Suppose R n R-1 ? {(a, a): a ? A}. Let R = {(x, y): x, y ... (read more)
...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. In 2018 I graduated with a Master's degree in Adolescent Education from SUNY Oswego. (read more)
...I will happily provide recommendations from my former students upon request. Thank you for your consideration!I successfully completed Regents exams in Mathematics, Physics, US History, and English, earning a NY Regents High School diploma in 1999. Since then I attended the U.S. (read more)