|April 8th, 2017, 01:59 AM||#1|
Joined: Jul 2012
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.
So which mathematical technique is used to sum groups in a in a correct way?
Thanks in advance!
|April 8th, 2017, 12:16 PM||#2|
Joined: Sep 2015
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
$(1,2,0)+(2,0,1) = (3,2,1)$
$(1,0,0)+(1,0,0) = (2,0,0)$
|April 9th, 2017, 11:02 PM||#3|
Joined: Jul 2012
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.
|elements, groups, summing|
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