relationship between two sets [on hold]












1














I have two sets that I need to find the relationship between them, I mean I need to know if we can say that one is equal to the other, a subset or even a subset of the $sigma$-field generated by the other over a certain space $Omega$. if it can help, we can assume that $I$ is finite.



The first set is:
$A =bigcup_{iin I} {X_{i}} $



The second set is:
$B={bigcup_{iin I} X_{i}} $






elementary-set-theory







share|cite|improve this question









New contributor




Brittany Rutherford is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











put on hold as off-topic by amWhy, Adrian Keister, Leucippus, max_zorn, user91500 2 days ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – amWhy, Adrian Keister, Leucippus, max_zorn, user91500

If this question can be reworded to fit the rules in the help center, please edit the question.













  • Hi & welcome to MSE. Please ignore my previous answer as I see it was incorrect.
    – John Omielan
    2 days ago












  • @ArturoMagidin Yes, I was just editing my comment when your's came in.
    – John Omielan
    2 days ago










  • No, they need not be equal; no, they need not be subsets of one another. For example, take $X_i={i}$, $I={1,2}$. Then $A={ {1}} cup { {2}} = { {1},{2}}$; and $B={ {1}cup{2}}= { {1,2}}$. Not equal, not subsets of each other.
    – Arturo Magidin
    2 days ago










  • What is a “$sigma$-set generated” by a set?
    – Arturo Magidin
    2 days ago










  • @ArturoMagidin I edited the question, I meant $sigma$ field
    – Brittany Rutherford
    2 days ago


















1














I have two sets that I need to find the relationship between them, I mean I need to know if we can say that one is equal to the other, a subset or even a subset of the $sigma$-field generated by the other over a certain space $Omega$. if it can help, we can assume that $I$ is finite.



The first set is:
$A =bigcup_{iin I} {X_{i}} $



The second set is:
$B={bigcup_{iin I} X_{i}} $






elementary-set-theory







share|cite|improve this question









New contributor




Brittany Rutherford is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











put on hold as off-topic by amWhy, Adrian Keister, Leucippus, max_zorn, user91500 2 days ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – amWhy, Adrian Keister, Leucippus, max_zorn, user91500

If this question can be reworded to fit the rules in the help center, please edit the question.













  • Hi & welcome to MSE. Please ignore my previous answer as I see it was incorrect.
    – John Omielan
    2 days ago












  • @ArturoMagidin Yes, I was just editing my comment when your's came in.
    – John Omielan
    2 days ago










  • No, they need not be equal; no, they need not be subsets of one another. For example, take $X_i={i}$, $I={1,2}$. Then $A={ {1}} cup { {2}} = { {1},{2}}$; and $B={ {1}cup{2}}= { {1,2}}$. Not equal, not subsets of each other.
    – Arturo Magidin
    2 days ago










  • What is a “$sigma$-set generated” by a set?
    – Arturo Magidin
    2 days ago










  • @ArturoMagidin I edited the question, I meant $sigma$ field
    – Brittany Rutherford
    2 days ago
















1












1








1







I have two sets that I need to find the relationship between them, I mean I need to know if we can say that one is equal to the other, a subset or even a subset of the $sigma$-field generated by the other over a certain space $Omega$. if it can help, we can assume that $I$ is finite.



The first set is:
$A =bigcup_{iin I} {X_{i}} $



The second set is:
$B={bigcup_{iin I} X_{i}} $






elementary-set-theory







share|cite|improve this question









New contributor




Brittany Rutherford is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











I have two sets that I need to find the relationship between them, I mean I need to know if we can say that one is equal to the other, a subset or even a subset of the $sigma$-field generated by the other over a certain space $Omega$. if it can help, we can assume that $I$ is finite.



The first set is:
$A =bigcup_{iin I} {X_{i}} $



The second set is:
$B={bigcup_{iin I} X_{i}} $






elementary-set-theory




elementary-set-theory






share|cite|improve this question









New contributor




Brittany Rutherford is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|cite|improve this question









New contributor




Brittany Rutherford is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|cite|improve this question




share|cite|improve this question








edited 2 days ago





















New contributor




Brittany Rutherford is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









asked 2 days ago









Brittany Rutherford

1063




1063




New contributor




Brittany Rutherford is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





New contributor





Brittany Rutherford is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






Brittany Rutherford is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.




put on hold as off-topic by amWhy, Adrian Keister, Leucippus, max_zorn, user91500 2 days ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – amWhy, Adrian Keister, Leucippus, max_zorn, user91500

If this question can be reworded to fit the rules in the help center, please edit the question.




put on hold as off-topic by amWhy, Adrian Keister, Leucippus, max_zorn, user91500 2 days ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – amWhy, Adrian Keister, Leucippus, max_zorn, user91500

If this question can be reworded to fit the rules in the help center, please edit the question.












  • Hi & welcome to MSE. Please ignore my previous answer as I see it was incorrect.
    – John Omielan
    2 days ago












  • @ArturoMagidin Yes, I was just editing my comment when your's came in.
    – John Omielan
    2 days ago










  • No, they need not be equal; no, they need not be subsets of one another. For example, take $X_i={i}$, $I={1,2}$. Then $A={ {1}} cup { {2}} = { {1},{2}}$; and $B={ {1}cup{2}}= { {1,2}}$. Not equal, not subsets of each other.
    – Arturo Magidin
    2 days ago










  • What is a “$sigma$-set generated” by a set?
    – Arturo Magidin
    2 days ago










  • @ArturoMagidin I edited the question, I meant $sigma$ field
    – Brittany Rutherford
    2 days ago




















  • Hi & welcome to MSE. Please ignore my previous answer as I see it was incorrect.
    – John Omielan
    2 days ago












  • @ArturoMagidin Yes, I was just editing my comment when your's came in.
    – John Omielan
    2 days ago










  • No, they need not be equal; no, they need not be subsets of one another. For example, take $X_i={i}$, $I={1,2}$. Then $A={ {1}} cup { {2}} = { {1},{2}}$; and $B={ {1}cup{2}}= { {1,2}}$. Not equal, not subsets of each other.
    – Arturo Magidin
    2 days ago










  • What is a “$sigma$-set generated” by a set?
    – Arturo Magidin
    2 days ago










  • @ArturoMagidin I edited the question, I meant $sigma$ field
    – Brittany Rutherford
    2 days ago


















Hi & welcome to MSE. Please ignore my previous answer as I see it was incorrect.
– John Omielan
2 days ago






Hi & welcome to MSE. Please ignore my previous answer as I see it was incorrect.
– John Omielan
2 days ago














@ArturoMagidin Yes, I was just editing my comment when your's came in.
– John Omielan
2 days ago




@ArturoMagidin Yes, I was just editing my comment when your's came in.
– John Omielan
2 days ago












No, they need not be equal; no, they need not be subsets of one another. For example, take $X_i={i}$, $I={1,2}$. Then $A={ {1}} cup { {2}} = { {1},{2}}$; and $B={ {1}cup{2}}= { {1,2}}$. Not equal, not subsets of each other.
– Arturo Magidin
2 days ago




No, they need not be equal; no, they need not be subsets of one another. For example, take $X_i={i}$, $I={1,2}$. Then $A={ {1}} cup { {2}} = { {1},{2}}$; and $B={ {1}cup{2}}= { {1,2}}$. Not equal, not subsets of each other.
– Arturo Magidin
2 days ago












What is a “$sigma$-set generated” by a set?
– Arturo Magidin
2 days ago




What is a “$sigma$-set generated” by a set?
– Arturo Magidin
2 days ago












@ArturoMagidin I edited the question, I meant $sigma$ field
– Brittany Rutherford
2 days ago






@ArturoMagidin I edited the question, I meant $sigma$ field
– Brittany Rutherford
2 days ago












0






active

oldest

votes

















0






active

oldest

votes








0






active

oldest

votes









active

oldest

votes






active

oldest

votes

-

Popular posts from this blog

An IMO inspired problem

Image
14 4 This problem from IMO 1988 is said to be one of the most elegant ones in functional equations. Problem : The function $f$ is defined on the set of all positive integers as follows: begin{align} f(1) = 1, f(3) &= 3, f(2n) = f(n), \ f(4n+1) &= 2f(2n+1) - f(n), \ f(4n+3) &= 3 f(2n+1) - 2f(n) end{align} Find the number of $n$ with $f(n) = n, 1 leq n leq 1988$. The main idea towards the solution is realizing that these conditions stand for the fact that $f(n)$ just reverses the digits in the binary representation of the number $n$. So, essentially the solution is finding the number of binary pallindromes $leq 1988_{10}$. My question is the following : How to reformulate the problem so that $f(n)$ reverses the digits of $n$ in its ternary representation. Or even better, can we reformulate it for a
Read more

Management

Image
Management From Wikipedia, the free encyclopedia Jump to navigation Jump to search "Manager" redirects here. For other uses, see Management (disambiguation) and Manager (disambiguation). An organization chart for the United States Coast Guard shows the hierarchy of managerial roles in that organization. Business administration Management of a business Accounting Management accounting Financial accounting Financial audit Business entities Cooperative Corporation Limited liability company Partnership Sole proprietorship State-owned enterprise Corporate governance Annual general meeting Board of directors Supervisory board Advisory board Audit committee Corporate law Commercial law Constitutional documents Contract Corporate crime Corporate liability Insolvency law International trade law Mergers and acquisitions Economics Commodity Pu
Read more

Has there ever been an instance of an active nuclear power plant within or near a war zone?

Image
36 3 The question Has there ever been a military combat going on around an active (running or in outage but not decommissioned) commercial nuclear power plant? Or dangerously near it? If yes, how did the plant and its personnel fare in such situation? Why I ask Let's assume for the scope of this question modern commercial nuclear power plants (CANDU, PWR, BWR of generation II plus all of gen III and newer) are usually reasonably safe to operate given that the engineering has been done right and there is a whole cohort of very well trained personnel on-site at all times, well rested and with considerable resources on their hands. Things hard to get with an armed conflict like the recent Syrian war raging around. I can't seem to find any reference or a comprehensive article about this, hence this question.
Read more