XOR of 2 Sets: A and B - Get the Answer

  • Thread starter Thread starter abcit
  • Start date Start date
  • Tags Tags
    Sets
AI Thread Summary
The discussion centers on finding the XOR (symmetric difference) of two sets, A and B. The symmetric difference is defined as the elements that are in either set A or set B, but not in both. The correct formula for this operation is A XOR B = (A ∪ B) - (A ∩ B). Participants emphasize the importance of using precise terminology, distinguishing between logical operations and set operations. Clarity in communication is essential for effective problem-solving in set theory.
abcit
Messages
6
Reaction score
0
XOR of 2 sets ?

i have two sets :
A{a,b,c,d,e,f,l}
B{a,b,i,k,l}
A XOR B result?
Help me please.
Thanks
 
Mathematics news on Phys.org
Who's asking you to take XOR of sets? Can I shout at them please?

I think you want symmetric difference:

x \in A\triangle B iff x is in exactly one of A or B.

Equivlently it is (A^c\cap B)\cup(A\cap B^c)

assuming you're ok with taking complements.
 
Last edited:
I get this problem in Matching algorithm,
 

Attachments

  • a.jpg
    a.jpg
    2.9 KB · Views: 584
Last edited by a moderator:
A XOR B = (A OR B) - (A AND B)
 
Stop using logical symbols such as AND, OR etc when you mean set symbols such as intersction etc!

OR is not the same as union, despite the similarities in their behaviour.

And if you want us to know what's going on then you need to tell us.
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Thread 'Non-orthogonal bases'

Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
View full post »

Similar threads

Comp Sci Is it addition or xor in AES mix column?
Replies
6
Views
2K
Engineering What is the output for the following logic circuit?
Replies
3
Views
2K
Difficult to understand the solution provided in the video (travelling salesman problem)
Replies
3
Views
2K
I Solving a system of equations with 5 unknowns
Replies
10
Views
1K
A Finding dual optimum of a linear problem
Replies
0
Views
1K
I Prove that a triangle with lattice points cannot be equilateral
Replies
1
Views
2K
XOR algorithm to find the missing number in a given array
Replies
13
Views
4K
C/C++ C++ swap routines: pointers vs. references
Replies
19
Views
5K
B Proof of Chain Rule: Understanding the Limits
Replies
3
Views
1K
B Optimizing permutations of hero traits in a computer game
Replies
2
Views
1K

Hot Threads

Recent Insights

Back
Top