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Sorry, I'm trying to plug numbers inside the equation you provided, but even for large $n$, the final output is not close to $\sqrt2$. How is this possible? Thanks!
Thank you very much! Just one more question: why does it not depend on the dimension $n$? Intuitively, the bigger the dimension is, the smaller the probability should be, or am I wrong?
There is one thing I don't understand from your example: $x = (2,3)$ doesn't have norm one. Did you take care of it in the Wolfram alpha experimentation? Thanks again
Thank you! do you know a way to show the same thing in more dimensions? I'm trying to get an answer but I have no idea how to keep going. Thanks again!
