hahamonkey
New member
- Joined
- Feb 7, 2022
- Messages
- 4
Just started on the 'Introduction to Probability textbook by John and Dimitri and it hit me with this notation description.
I am struggling to understand what it means/how to decode it and would appreciate an implemented example. The 'for some n' and 'for all n' part is confusing.
My attempt to understand this:
For every positive integer n 1,2,3...
we are given set n...meaning S1={1}, S2={2}, S3={3}...
If it's the union of all sets, isn't it Sn = {1,2,3...},? what does the for some n mean?
If it's the intersection of all sets, isn't it Sn = empty? what does the for all n mean?
I am struggling to understand what it means/how to decode it and would appreciate an implemented example. The 'for some n' and 'for all n' part is confusing.
My attempt to understand this:
For every positive integer n 1,2,3...
we are given set n...meaning S1={1}, S2={2}, S3={3}...
If it's the union of all sets, isn't it Sn = {1,2,3...},? what does the for some n mean?
If it's the intersection of all sets, isn't it Sn = empty? what does the for all n mean?