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Apr
19
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).
Apr
8
reviewed Approve Are there any irrational numbers that have a difference of a rational number?
Apr
3
reviewed Approve Generic freeness (a Lemma from Matsumura, CRT)
Mar
31
accepted Replacing the Lowest Score with the Average.
Mar
31
awarded  Inquisitive
Mar
30
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.
Mar
30
revised Replacing the Lowest Score with the Average.
added 522 characters in body
Mar
30
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.
Mar
30
asked Replacing the Lowest Score with the Average.
Mar
21
accepted Confidence Intervals that Contain the Mean: Designing an Activity
Mar
21
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.
Mar
21
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.
Mar
20
asked Confidence Intervals that Contain the Mean: Designing an Activity
Mar
9
accepted Discrepancy in the Dimension of Teichmüller Spaces?
Mar
8
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.
Mar
8
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 $D=2$.
Mar
8
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)
Mar
8
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.
Mar
4
comment Calculating Inverse Laplace Transform of stretched exponential
May I ask how you made that awesome diagram?
Feb
3
revised A good way to explain $\varepsilon$-$\delta$ for chemistry / biology students?
added 190 characters in body