>>7619376I get that but in application, beyond the scope of the notation, wouldn't it make more sense to appease some form of concrete value instead of another self-referential value.
I just can't imagine that anyone would need such mathematic notation to simply say "Use multiplication after division in order to make sure it's the same number."
The square root accounts for the y value as a product of symmetry in the 2 dimensions but we aren't attempting to simply equate value here. We attempting to define a derivative to be used in evaluating the growth rate. To say that it grows at a rate of sqrt(2)^sqrt(2)^sqrt(2)... means it would eventually go beyond 2. It would really only take sqrt(2)^sqrt(2) for it to equal 2, the rest of them would move the scope of the problem beyond the desired limit, wouldn't it?
