MHB What is the concept of limiting event?

  • Thread starter Thread starter WMDhamnekar
  • Start date Start date
  • Tags Tags
    Concept
Click For Summary
The concept of a limiting event relates to the definitions of sets and intervals in mathematical analysis. Members of the math help board are asked to provide clear explanations and examples for specific highlighted points regarding limiting events. It is noted that the definitions themselves do not require proof, as they are foundational concepts. The discussion also introduces the set ##E_k##, defined by the open interval ##( 1 - \frac{1}{2^k} , 2 + \frac{1}{2^k})##, which illustrates the idea of approaching a limit. Understanding limiting events is essential for grasping more complex mathematical principles.
WMDhamnekar
MHB
Messages
378
Reaction score
30
1645416561517.png


Would any member of math help board prove highlighted 1 and 2 by simple and clear explanation with examples?
 
Last edited:
Physics news on Phys.org
These are definitions, there is nothing to prove.
 
Reply
  • Like
Likes PeroK and Mark44
WMDhamnekar said:
with examples?

Try letting ##E_k## be the set defined by the open interval ##( 1 - \frac{1}{2^k} , 2 + \frac{1}{2^k})##
 

Thread 'Two interesting number theory tricks'

First trick I learned this one a long time ago and have used it to entertain and amuse young kids. Ask your friend to write down a three-digit number without showing it to you. Then ask him or her to rearrange the digits to form a new three-digit number. After that, write whichever is the larger number above the other number, and then subtract the smaller from the larger, making sure that you don't see any of the numbers. Then ask the young "victim" to tell you any two of the digits of the...
View full post »

Similar threads

MHB Exponential distribution question
  • · Replies 1 ·
Replies
1
Views
2K
MHB Probability, Expected value, joint P.D.F. and order statistics
  • · Replies 2 ·
Replies
2
Views
1K
High School Understanding the Interpretation of Z-Scores: Insights and Examples
  • · Replies 11 ·
Replies
11
Views
5K
Undergrad What is the concept of monotone limits?
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Sample space, outcome, event, random variable, probability...
  • · Replies 6 ·
Replies
6
Views
3K
High School What exactly is an 'exhaustive event'?
  • · Replies 5 ·
Replies
5
Views
2K
MHB What Is the Probability of Distributing Remaining Trump Cards in Bridge?
  • · Replies 4 ·
Replies
4
Views
2K
MHB Properties of the Ordinals ....
  • · Replies 1 ·
Replies
1
Views
1K
Graduate Concrete examples of randomness in math vs. probability theory
  • · Replies 11 ·
Replies
11
Views
3K
MHB Solve Math Problem: Mixing Milk & Water to Get 50% Milk
  • · Replies 3 ·
Replies
3
Views
1K