$\begingroup$

I have a question about presenting the set of point in the math. I have two sets in domain $\Omega$. $M$ is set of $m$ point locations, $N$ is set of $n$ point locations. In which,some points in the set $M$ have same location with set $N$. I want to represent some condition in mathematical way. Could you help me represent it?

1. Represent set $M,N$
2. Represent the intersection between $M$ and $N$
3. Represent points $\in M$ but not belong $N$

Thank you in advance.

These are my results. But I am not sure about my answers.

1. Represent set $M,N$ $$M=\{(x_i,y_i) \mid i=1,\dots,m,(x_i,y_i) \in \Omega \}$$ (Or only $M=\{(x,y) \mid (x,y) \in \Omega \}$???) $$N=\{(x_j,y_j) \mid j=1,\dots,n, (x_n,y_n) \in \Omega \}$$
2. Represent the intersection between $M$ and $N$ $$K=M\bigcap N=\{(x_k,y_k) \mid (x_k,y_k) \in \Omega, (x_k,y_k) \in M \text{ and } (x_k,y_k) \in N \}$$
3. Represent points $\in M$ but not belong $N$ $$H=\{(x_h,y_h) \mid (x_h,y_h) \in \Omega, (x_h,y_h) \in M \text{ and } (x_h,y_h) \notin N \}$$

$\endgroup$ 7 Sorted by: Reset to default

Know someone who can answer? Share a link to this question via email, Twitter, or Facebook.

Your Answer

Sign up or log in

Sign up using Google Sign up using Facebook Sign up using Email and Password Submit

Post as a guest

Post Your Answer Discard

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy