MHB Discrete Mathematics - Define a relation R on S of at least four order pairs

Click For Summary
A relation R on the set S = {1, 2, 5, 6} is defined by the condition that the product of the ordered pairs (a, b) is even. Valid pairs include (2, 1), (2, 5), (2, 2), (2, 6), (6, 1), (6, 5), and (6, 2), among others. The presence of the even number 2 or 6 in any pair ensures the product is even. The discussion emphasizes the importance of identifying pairs that satisfy this condition. Understanding such relations is crucial in discrete mathematics for analyzing properties of sets and their interactions.
Haroon2
Messages
1
Reaction score
0
Let S = {1,2,5,6 }
Define a relation R on S of at least four order pairs, as (a,b)  R iff a*b is even (i.e. a multiply by b is even)
 
Physics news on Phys.org
Duplicate post
 
Greetings, I am studying probability theory [non-measure theory] from a textbook. I stumbled to the topic stating that Cauchy Distribution has no moments. It was not proved, and I tried working it via direct calculation of the improper integral of E[X^n] for the case n=1. Anyhow, I wanted to generalize this without success. I stumbled upon this thread here: https://www.physicsforums.com/threads/how-to-prove-the-cauchy-distribution-has-no-moments.992416/ I really enjoyed the proof...

Similar threads

  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 35 ·
2
Replies
35
Views
4K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 17 ·
Replies
17
Views
2K
  • · Replies 14 ·
Replies
14
Views
5K
  • · Replies 8 ·
Replies
8
Views
3K