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Wednesday, February 19, 2025
Why must those who speak the most in lectures always have bricks for brains
Thursday, February 20, 2025
I also got a video with <10 views recommended to me
Friday, February 21, 2025
Wednesday, February 26, 2025
Thursday, March 6, 2025
Friday, March 7, 2025
Since leg uses this as a math vent chat
I spent so much time trying this from so many different angles, but the actual solution is so trivial I feel mad I did not ralize it
Intuatively, the limit should be about 3/2, since that is the expected value of each Xi, actual answer is 4/e (I was just assuming it was 3/2's which was tripping me up). I literally just needed use the strong law of large numbers on the natural log of that
What really kills me about this, is I kept second guessing myself, so I coded up a quick program to check that it did converge to 3/2's, and kept getting 1.47ish, which is 4/e, not 3/2!
Sort of, the trick is you take the natural log of this, then you have a sum of iid random variables over N, which then you can use the strong law of large numbers on like normal
so the log of that tends to the expectation of ln(X)
which works out to 2ln2-1
yeah
I mean, its just xlnx - x
That is perhaps insane
lmao
its just reverse product rule where (fg)' = f'g + fg', then integrating
thats fair
Saturday, March 8, 2025
Monday, March 10, 2025
rip
