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What is 0^0?

Name: Rentacle Tape 2005-09-09 14:27

You heard me, is it 0 because 0*anything=0 or is it 1 because anything^0=1?

Name: Anonymous 2005-10-08 2:28

>>13
Yesssss.

>>2
>>8
Nooooo.  0/0, 0^0, 1^infinity, etc. are all /indeterminate./  Indeterminate quanitities do not exist, that's true, but they exist in an entirely different ways from undefined quantities.  There is no value that satisfies an undefined quantity, whereas there are infinitely many values that satisfy an indeterminate form.

0^0 = 0/0 = Any real number at all.

On the other hand,

n/0 (n != 0) = Nothing.

They both don't exist, but they are very, very different, and not just in theory.

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