I don’t understand these terms. They came up in a math class the teacher rushed through.
Can you illustrate these terms with examples? I’m not really looking for an in-depth understanding of these (I don’t have much background) but only surface-level knowledge of what these even mean.
I’ll mention some things I noted in class to give you an idea of the level I’m supposed to learn this to:
Cartesian product of sets: For two sets A and B, the set of ordered pairs where the first element comes from A and the second from B. The teacher proceeded to illustrate this with an example and said that order matters, A cross B wouldn’t be the same as B cross A.
Relations: These are defined between sets. “For a relation defined between two sets A and B where A has p elements and B has q elements, tr mumber of elements in the set A cross B are pq. A relation is a subset of the cartesian product A cross B. Hence, the no. of relations possible between A and B are 2^pq.” [I quoted my teacher exactly, I don’t understand this at all]