April 26th, 2018, 01:36 AM  #1 
Senior Member Joined: Nov 2011 Posts: 224 Thanks: 2  set/function
What are the differences between set and function?
Last edited by skipjack; April 26th, 2018 at 10:23 AM. 
April 26th, 2018, 10:25 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 19,535 Thanks: 1750 
A function is a particular type of set.

April 27th, 2018, 04:31 AM  #3 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 894 
Precisely, a "function from set A to set B" is a subset of the set of all pairs (a, b) where a is from set A and b is from set B.

April 27th, 2018, 06:43 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 19,535 Thanks: 1750 
That would be a relation, not necessarily a function.

April 27th, 2018, 11:44 AM  #5 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 894 
Oops! Yes, I forgot the "uniqueness" condition.


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