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J.G's user avatar
J.G's user avatar
J.G
  • Member for 8 years, 7 months
  • Last seen this week
20 votes

Does a set with strictly positive Lebesgue measure contain an interval?

14 votes

Expectation of maximum of n i.i.d random variables

9 votes

What is the intuition behind a low-rank covariance matrix?

6 votes
Accepted

Where am I wrong in this reasoning?

6 votes
Accepted

Show $\sum_{n=-\infty}^{\infty} \frac{1}{(n+\alpha)^2} = \frac{\pi^2}{(\sin\pi\alpha)^2}$

6 votes

How to show that $f(x)=0 $ for all $x\in [0,1]?$

5 votes
Accepted

Prove for $\epsilon >0$ exists a finite interval $[a,b]$ such that $|\int{f(x)}dx-\int_{a}^b f(x)dx|<\epsilon$

5 votes
Accepted

Prove that $~~~~~a_1!a_2!\cdots a_m! \mid \left(a_1+a_2+...+a_m\right)! ~~~~~~~~~\forall ~~~a_1,a_2,...,a_m\in N$

5 votes
Accepted

How do I show that $\frac{1}{n}\sum_{k=1}^{n}\frac{n!}{(n-k)!n^{k}}$ converges to zero as $n\to\infty$?

5 votes
Accepted

Applications of $f(x_0)=f'(x_0)$

5 votes
Accepted

Prove that $\mathbb{Q}$ has extensions of any finite degree in $\mathbb{C}$

5 votes
Accepted

Evaluating $\lim_{a \to \infty}\int_{0}^\infty\frac{\arctan x}{1+x^a}\,dx$

4 votes

Eigenvector centrality as a limiting case of Katz centrality

4 votes

Every finite subset of $\Gamma$ is consistent implies $\Gamma$ is consistent

4 votes
Accepted

Show $f$ is integrable over $[1, \infty)$ iff $\sum_{n=1}^{\infty}\left|\int_n^{n+1}f \right|$ converges

4 votes
Accepted

On the determinant of a certain matrix with non negative integer entries with fixed row sum

4 votes

How to approximate the expected minimum Hamming distance with $N \gg n$ strings

4 votes
Accepted

Show that in this graph there is a vertex with a neighbor in every color.

4 votes
Accepted

How to prove that a matrix is diagnolizable if it has no real eigenvalues?

4 votes

How to prove that the centering inequality for the sub-gaussian norm does not hold

4 votes
Accepted

Expected Value of Riemann Sum for Random Partitions

3 votes

Number of undirected trees with $k$ vertices

3 votes

Why cannot cancel terms $\frac{\partial \rho}{\partial t}$ for both side of the equation, chain rule

3 votes
Accepted

Is $\sum_{n \in \mathbb{Z}} e^{-(n-\mu)^2/2\sigma^2} \le \sum_{n \in \mathbb{Z}} e^{-n^2/2\sigma^2}$ for all $\mu$ and all $\sigma$?

3 votes
Accepted

Upper bound on the largest eigenvalue of a block matrix

3 votes
Accepted

Estimate for probability for $\log n - 2\log \log n$ consecutive heads

3 votes

Prove that $\det(A) \geq 0$.

3 votes
Accepted

Markov chain with transitions from state $i$ to $i+1$ with prob $1-\frac{1}{2i^\alpha}$

3 votes

Counting problem on permutation

3 votes

is $(1 + 1/\gamma)I - \dfrac{ee^T}{m}$ positive definte for any $\gamma > 0$?

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