Register to reply 
Set theory: Largest number in the set 
Share this thread: 
#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: 79

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

Emeritus
Sci Advisor
HW Helper
Thanks
PF Gold
P: 11,726

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



#4
Feb2412, 02:34 PM

Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,503

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. 


Register to reply 
Related Discussions  
What is the largest number less than 1?  General Math  97  
The largest number not in the form of ax+by, with gdc(a,b)=1.  Linear & Abstract Algebra  13  
Largest possible number of villagers  Biology, Chemistry & Other Homework  1  
The largest number with meaning?  General Discussion  14  
Number Theory  Largest Impossible Score  Calculus & Beyond Homework  0 