...I do not furnish new material until current material is grasped and mastered satisfactorily, as the nature of mathematics and the physical sciences are such that they build upon previous material. I am also knowledgeable in basic electronics, and I am an A+ certified computer support technician ... (read more)
...My PhD is in Chemistry, 1988. I have not worked since 1990, since I was a full time parent.I have a PhD in Chemistry. Organic chemistry: the art and science of designing molecules that will do things for the world. (read more)
...It's my passion and part of my life to work with students and help others to achieve their goals. I have more than two awards in Math for those lessons during my student path. I've been working with more than hundred students who needed help with all those classes and since those students succeeded, I was the best tutor of the college where I went. (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)
...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)