Recently I asked this question on MO http://mathoverflow.net/questions/261538...n-analysis
And I'm curious if anyone has encountered anything similar. As in, the main value of the hyper-operators defined for natural numbers is its computational aspect. Is there a similar idea in analysis? Can anyone give me any ideas of where to talk about these things. About how to phrase the fact that the computational complexity of \( \sqrt{2}\uparrow^n x \) grows hyper operationally with \( n \).
And I'm curious if anyone has encountered anything similar. As in, the main value of the hyper-operators defined for natural numbers is its computational aspect. Is there a similar idea in analysis? Can anyone give me any ideas of where to talk about these things. About how to phrase the fact that the computational complexity of \( \sqrt{2}\uparrow^n x \) grows hyper operationally with \( n \).
