4 ms·
Also note that dividing something by itself is not necessarily 1.
by jjnoakes 7y ago
Also note that dividing something by itself is not necessarily 1.
- jgalt212 7y agoI dunno, I think 0/0 is 1, but I cannot be sure. https://www.wolframalpha.com/input/?i=lim+x%2Fx+as+x-%3E0 https://www.wolframalpha.com/input/?i=lim+x%2Fx+as+x-%3E0
- jolmg 7y agoYou can say 0/0 is 1, but it's also 2 and 3 and every other number, since x*0=0 for any x. That's why it's undefined.
- all2 7y agoCould we define it as a one to many function that maps from 0/0 to the set of all Complex numbers? If 0/0 = Q, then 0 = 0 × Q. So, we get to define this operation. If we treat 0 as an integer, then we could treat Q (a set) like a 1 x inf. matrix and we have scalar multiplication. But 0 × Q = [0]' × Q So 0 can be an infinite set of 0. This is cyclical, I know. This cyclical nature leads to an interesting effect if we also define integer division. Try this around 0 in Q. We could also define the × as an inner (dot) product, or as a cross product. This is fun!
- ngcc_hk 7y agoIs there a number set larger than a complex number? If so you can’t map to any concrete thing as it is really anything. And I guess it is easy to define one more dimension of number.