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Dec
14
revised If $S = \min\{k \geq 1: X_k - Y_k > \sqrt{\log k}\}$ and $X_k$ and $Y_k$ are iid Normals, is it true that $P(X < \infty) = 1$?
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Dec
14
answered If $f(x^3 + x) = x^3 + x^2 + 1$, then what is $f'(2)$?
Dec
14
answered Probability and expectation of an indicator multiplied by random variable
Dec
14
answered Distribution of ratio of functions of random variables
Dec
14
answered Find the total area between region and x-axis?
Dec
14
revised Find the total area between region and x-axis?
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Dec
14
revised Solve $x^2\equiv -3\pmod {13}$
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Dec
14
comment Calculating $\lim_\limits{n\to \infty}\frac{n^{2}}{\left(2+\large\frac{1}{n}\right)^{n}}$
@kamil09875 this is a hint, not an answer -- the OP is invited to think about his problem himself. But if you ensist, one transforms $$ \frac{n^2}{(2+1/n)^n} = \frac{n^2}{2^n} \left(\frac{2}{2+1/n}\right)^n $$ and bounds the right term by $1$
Dec
14
answered Calculating $\lim_\limits{n\to \infty}\frac{n^{2}}{\left(2+\large\frac{1}{n}\right)^{n}}$
Dec
14
answered weighted graph problem
Dec
14
comment weighted graph problem
Please explain clearly. What is the shortest path tree -- it is either a path or a tree? MST will contain the root by definition. Also what makes your minimal actually minimal? Do you mean minimal or minimum?
Dec
14
revised I.I.D. collection of discrete random varible
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Dec
14
answered Formation of generating function with negative integer conditions
Dec
14
answered How many solutions does the equation $\sum_{i=1}^{k}{x_i}=c$ have, given that the $x_i\in\mathbb{Z}$ and $0\leq x_i\leq d$?
Dec
11
comment unique fixed point problem
if it's differentiable (not derivable), it must be continuous. no need to assume more
Dec
11
revised unique fixed point problem
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Dec
11
revised unique fixed point problem
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Dec
11
revised Mapping of the circle $|z-1-i|=\sqrt{2}$
added 28 characters in body; edited tags; edited title
Dec
11
comment Relations on groups.
@ThéodoreRozencwajg transitivity means $a\sim b$ and $b \sim c$ imply $a\sim c$. So assume $a \sim b$ and $b \sim c$. So $b^{-1} a \in H$ and $c^{-1}b \ in H$. What can you say about $c^{-1}a$ -- is it in $H$ or not?
Dec
10
answered Relations on groups.