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Set theory: Largest number in the set 
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#1
Feb2412, 06:21 AM

P: 118

1. The problem statement, all variables and given/known data
How to write "the largest number in a set of real numbers A" using the appropriate set theory notation? 2. Relevant equations  3. The attempt at a solution Tried Googling and searching on Wikipedia with no relevant results. 


#2
Feb2412, 06:57 AM

P: 77

What is the largest element of a set? Don't answer using the set theory notation, just English. Then try to convert your answer in set theory notation.



#3
Feb2412, 01:58 PM

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PF Gold
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Didn't Mark essentially answer this question in this thread?



#4
Feb2412, 02:34 PM

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Set theory: Largest number in the set
Cinitiator seems to be mystified by the idea of the "maximum" operator.



#5
Feb2412, 02:52 PM

P: 118

Correct me if I'm wrong. 


#6
Feb2412, 02:55 PM

P: 65

Not all sets of real numbers have a largest element. Are you sure this is how the question is phrased?
Check out supremum. Edit: Wait, I'm pretty sure Mark has answered your question in that thread. 


#7
Feb2412, 02:57 PM

P: 118




#8
Feb2412, 02:58 PM

P: 65

min and max should work.



#9
Feb2412, 03:01 PM

P: 118




#10
Feb2412, 03:09 PM

P: 65

I don't understand why you have to order a set if min and max are defined as the smallest and largest elements of a set.
Sets by definition don't have an order imposed on them. If you wanted to create an ordered ntuple out of a set S of n elements, one way is to map it to the ntuple (min S, min S \ {min S}, min S \ {min S, min S \ {min S}}, ...) :P 


#11
Feb2412, 04:19 PM

P: 800

Max{1,2,3,4} is the same as Max{4,2,3,1}. In that other thread, someone actually posted C code to get the max of a set. And I pointed you to the bubble sort. Perhaps there is some secret context for your question that you're not telling us. Clearly you are not getting what you need despite a lot of people trying to answer your question. 


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