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when someone smiles at me, all I see is an ape bearing its teethe


Aug
8
comment Help Proving that $\frac{(1+\frac{1}{t})^t}{e} = 1 -\frac{1}{2t} + O(\frac{1}{t^2})$ for $t\geq 1$
Ansturm is now banned.
Jul
22
accepted Sampling 100 widgets to test for defective ones
Jul
21
comment Sampling 100 widgets to test for defective ones
Yah that's right. I believe their reasoning would have been correct if the $P(B_i)$ were uniform for all $i$, but since $P(B_6)$ is very small compared to $i$'s closer to $50$, their reasoning isn't correct.
Jul
21
comment Sampling 100 widgets to test for defective ones
statistical inference 2nd edition exercise 3.2, the answer isn't actually in the book, I found a (apparently less than perfect) pdf of solutions online.
Jul
21
comment Sampling 100 widgets to test for defective ones
The sampling is done without replacement since I won't be checking the same widget for defectiveness multiple times.
Jul
21
comment Sampling 100 widgets to test for defective ones
@ClementC. the summation can go on to $100$ since as you say once it passes $100-k$ it no longer contributes anything.
Jul
21
comment Sampling 100 widgets to test for defective ones
Yah my formula gives $k=4$ (probably accounting for the fact that $P(B) < 1$), so it's far more in agreement with your estimate. So it looks like my book is in error then, thanks.
Jul
20
revised Sampling 100 widgets to test for defective ones
added 1 characters in body
Jul
20
asked Sampling 100 widgets to test for defective ones
Jul
11
asked Direct construction of an arbitrary elliptic function of order $2$ with pole set contained in its lattice.
Jul
6
accepted Prove that the number of ways to put $n$ distinct balls into $n$ distinct boxes is $n^n$
Jul
6
revised Prove that the number of ways to put $n$ distinct balls into $n$ distinct boxes is $n^n$
added 9 characters in body; edited title
Jul
6
asked Prove that the number of ways to put $n$ distinct balls into $n$ distinct boxes is $n^n$
Jun
22
comment Why isn't the Ito integral just the Riemann-Stieltjes integral?
So what you're saying is that as $|\Pi|\rightarrow 0$, $\sum_{\Pi}f(x_i)(B(x_i)-B(x_{i-1}))$ will converge to different values depending on the choice of partition sequence $\Pi$ with some positive probability? but that it will weakly converge to the same value no matter $\Pi$?
Jun
22
comment Why isn't the Ito integral just the Riemann-Stieltjes integral?
So are you saying that the upper and lower sums will depend on the choice of the sequence of partitions? I was under the impression that that part still worked for Brownian Motion.
Jun
22
comment Why isn't the Ito integral just the Riemann-Stieltjes integral?
But generally when we take the Ito Integral we usually imagine this extra variable of dependence as fixed right?
Jun
22
comment Why isn't the Ito integral just the Riemann-Stieltjes integral?
You just mean not differentiable a.e.? Also don't basically all the nice properties of the Riemann Integral which don't work for the Ito integral end up following from CoV in some way or another? I mean it's all the MVT in the end.
Jun
22
comment Why isn't the Ito integral just the Riemann-Stieltjes integral?
I know you can't apply CoV rule I said that, also if you're devonfangs I'll eat my shoe
Jun
22
asked Why isn't the Ito integral just the Riemann-Stieltjes integral?
Jun
21
comment Resources for learning mathematics for intelligent people?
Seriously though what numbers mean, peano axioms, you're going in the wrong direction. Get her a book on elementary algebra/trig and tell her to do all the problems, intuition and context is built up from the inside out