...I like to work with the student to find the best way to help them learn the material at hand. Whether you're struggling just to pass, or looking to ace a course I can help! I believe that tutoring can benefit every student regardless of their background in the topic or their current status. (read more)
...I have utilized discrete mathematics in designing state machines, game theory, programming and cryptography. I have over 20 years of experience developing Object-Oriented software. I have extensive experience with Java and C++. I have designed large scale distributed systems for the DOD and pr... (read more)
...It will now be shown that if R on A is antisymmetric, R n R-1 ? {(a, a): a ? A}. Let m, n ? A. 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. (read more)