How can I add apples and oranges?
>>8874918
Count the number of fruits, brainlet.
>>8874918
Define an object, call it a multi-fruit and denote it [math] M [/math]. Then [math] M = a + O [/math] where a is the "apple part" and O is the "Orange part".
Fruit is a spectrum, you bigoted brainlet.
>>8874918
I use a blender
>>8874918
with a multiplex
>M={apples,oranges}
>{X,0}+{0,Y}={X,Y}
>>8874972
see what did there
[math] (a,0)+(0,o)=\left(\sqrt[12]{\frac{a^{11.999...}}{e}}\prod_k \frac{1}{e^{k}},-11.9999...\cdot {\sum_k ok}\right)\,.
[/math]
Use them like vectors.
Define a relation
+ := Apples x Oranges -> Orapples
>>8874918
use an approximation and measure indirectly like a pro. replace all oranges with yellow tennis balls and all apples with yellow tennis balls. then you can add all the tennis balls together. the result may vary however.
>>8874918
consider the free abelian group generated by an apple and an orange
Direct sum