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 Apr19 comment Inverse function. @J.Marshall $h^2(2)$ is not necessarily $(h(2))^2$ -- it really depends on the text. (If that were the case, how can you be sure that $h^{-1}(-1)$ is not a short for $(h(-1))^{-1}$?) Most texts I have seen reserve your usage for trig functions only ($\sin^2(x)$, for instance). Apr8 reviewed Approve Are there any irrational numbers that have a difference of a rational number? Apr3 reviewed Approve Generic freeness (a Lemma from Matsumura, CRT) Mar31 accepted Replacing the Lowest Score with the Average. Mar31 awarded Inquisitive Mar30 comment Replacing the Lowest Score with the Average. I just realized that the middle sequence should also converge (essentially by the same argument). Both the lowest and the middle sequences converge, and their limits should be stable under the process. Therefore, their limits should be 1. Mar30 revised Replacing the Lowest Score with the Average. added 522 characters in body Mar30 comment Replacing the Lowest Score with the Average. Yes, showing that $l_n$ converges is not difficult. It's the "next step" I am stuck on. Mar30 asked Replacing the Lowest Score with the Average. Mar21 accepted Confidence Intervals that Contain the Mean: Designing an Activity Mar21 comment Confidence Intervals that Contain the Mean: Designing an Activity Thank you for checking. I suppose I could have either used a larger $n$ or made an explicit comment about not having to have the 3.5 in their interval to prevent such thing. Mar21 comment Confidence Intervals that Contain the Mean: Designing an Activity Yes, both you and Robert Israel perfectly described the experiment. I guess I should've have ran a large simulation after the students have reported their results, so that they can see these percentages happen with their own eyes. Mar20 asked Confidence Intervals that Contain the Mean: Designing an Activity Mar9 accepted Discrepancy in the Dimension of Teichmüller Spaces? Mar8 comment Solve $a_{n+1} - a_n = n^2$ using generating functions @Dunka Looking at the constant terms is what got equation 1), right? You can't conclude that $D=0$ from that though. Mar8 comment Solve $a_{n+1} - a_n = n^2$ using generating functions Here are the correct values of $A,B,C,D$: $A = 0$, $B =1$, $C = -3$, and $D=2$. Mar8 comment Discrepancy in the Dimension of Teichmüller Spaces? Like I stated in my post, the definition I am used to forces $T(X)$ to be infinite dimensional when there are boundaries. (en.wikipedia.org/wiki/Teichm%C3%BCller_space#Properties_of_TX) Mar8 comment Discrepancy in the Dimension of Teichmüller Spaces? I feel like the definition of Teichmuller space you are describing is not the same as the one I am accustomed to. The definition I am familiar with makes $T(X)$ a complex manifold, which forces $T(X)$ to have even dimensions. So it cannot have a dimension of 3. Mar4 comment Calculating Inverse Laplace Transform of stretched exponential May I ask how you made that awesome diagram? Feb3 revised A good way to explain $\varepsilon$-$\delta$ for chemistry / biology students? added 190 characters in body