
Math General Math Forum  For general math related discussion and news 
 LinkBack  Thread Tools  Display Modes 
April 8th, 2017, 02:59 AM  #1 
Newbie Joined: Jul 2012 Posts: 5 Thanks: 0  How summing groups of elements?
Summing groups of elements is probably one of the mathematical things that people apply the most. But I wonder how this is done mathematically in a correct way. Examples:
Notes:
So which mathematical technique is used to sum groups in a in a correct way? Thanks in advance! 
April 8th, 2017, 01:16 PM  #2 
Senior Member Joined: Sep 2015 From: Southern California, USA Posts: 1,602 Thanks: 816 
I would just use vector addition. Each element of the vector corresponds to the number of a unique type of fruit or whatever. You can make the elements mean whatever you like as long as they are unique descriptors. letting $v=(apples, pears, bananas)$ we have $(1,2,0)+(2,0,1) = (3,2,1)$ $(1,0,0)+(1,0,0) = (2,0,0)$ etc. 
April 10th, 2017, 12:02 AM  #3 
Newbie Joined: Jul 2012 Posts: 5 Thanks: 0 
Thanks! Vector addition is indeed a way (maybe the only) to do this. Although I have some doubts about the axiom about the existence of an inverse element (required for a vector space). I can imagine that some mathematicians will say that they have never seen a negative apple. Unless of course that removing an apple can be considered as inverse element. 

Tags 
elements, groups, summing 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Summing a set past the end of the set.  JwClaassen  Number Theory  0  February 11th, 2017 10:48 PM 
Groups, number of elements not equal to their inverse  Awesomo  Abstract Algebra  2  May 29th, 2014 01:52 PM 
Finite groups and functions on their elements  mojojojo  Abstract Algebra  1  March 17th, 2014 02:17 PM 
summing a finite exponential series  UncleFester  Real Analysis  2  December 30th, 2013 06:03 AM 
Summing Divergent Series  mathbalarka  Number Theory  16  November 24th, 2013 09:01 AM 