My Math Forum  

Go Back   My Math Forum > College Math Forum > Applied Math

Applied Math Applied Math Forum

LinkBack Thread Tools Display Modes
April 1st, 2010, 08:55 PM   #1
Joined: Jan 2009

Posts: 7
Thanks: 0

sets theroy question

could someone help me with the proof of following in the sets theory
A?(B?C) = (A?B)?C
sepehr is offline  
April 2nd, 2010, 05:25 AM   #2
Global Moderator
CRGreathouse's Avatar
Joined: Nov 2006
From: UTC -5

Posts: 16,046
Thanks: 937

Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms
Re: sets theroy question

What does the delta mean?
CRGreathouse is offline  
April 2nd, 2010, 05:29 AM   #3
Senior Member
Joined: Nov 2008

Posts: 199
Thanks: 0

Re: sets theroy question

Ok, I'm going to write s instead of . x in As(BsC) iff either 1) x in A and x not in BsC or 2) x in BsC and x notin A.
suppose 1). Then as x not in BsC either a) x not in B or C, or b) x in B and C. If a) then x in AsB and x not in C. If b) then x in C and x not in AsB. Either way x in (AsB)sC.

To complete the proof you need to work out what happens when 2) holds and then use a similar method to show the inclusion the other way.

p.s. is the symmetric difference. .
pseudonym is offline  
April 3rd, 2010, 02:46 AM   #4
Joined: Jan 2009

Posts: 7
Thanks: 0

Re: sets theroy question

thanks alot
sepehr is offline  

  My Math Forum > College Math Forum > Applied Math

question, sets, theroy

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Quick question on Sets? maths4computing Applied Math 3 August 25th, 2013 12:30 PM
Help! Question regarding open sets chappyform Real Analysis 2 April 28th, 2013 05:19 PM
A Question About Nowhere Dense Sets Hooman Real Analysis 4 July 27th, 2011 03:32 PM
I need help with these question on Sets... Britmouth Applied Math 6 August 31st, 2010 06:08 PM
A Basic question about Sets. Amir Kiani Applied Math 6 August 29th, 2009 02:33 PM

Copyright © 2018 My Math Forum. All rights reserved.