I'm trying to write a formula that represents the intersections points for $n$ circumferences. All of these circumferences intersect them to each other. Is there a good representation to explicit this concept?
Asked
Active
Viewed 25 times
0
-
There might or might not be a good representation for whatever you want, but there's a catch: first you must put your problem in words, so that we could get an idea of what's going on. As it stands now, we can't. – Ivan Neretin May 15 '19 at 09:45
-
I have n circumferences and I want represent the intersections among them, nothing else. The problem is that I'm finding a good notation to write this. – CipherX May 15 '19 at 11:26
-
Well, then each pair of circles will give you a pair of intersections (or maybe less). The coordinates are easy to find. I still don't get what do you mean by representation. – Ivan Neretin May 15 '19 at 15:53
-
The mathematical notation. Basically I want to express this concept by using the mathematical formalism instead to use the words. Thank you for the support. – CipherX May 15 '19 at 18:48
-
Oh, that. Well, I'd go with smth like $${X_k}=\mathop{\bigcup}_{1\leqslant i<j\leqslant n}{O_i\cap O_j}$$ – Ivan Neretin May 15 '19 at 18:51