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Jason
  • Member for 7 years, 7 months
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13 votes

Extension of real analytic function to a complex analytic function

13 votes
Accepted

A function of a Markov chain is necessarily again a Markov chain?

11 votes
Accepted

Is every Cauchy sequence in a non-complete metric space convergent?

11 votes
Accepted

Prove partial derivatives exist, but not all directional derivatives exists.

11 votes

Kolmogorov's maximal inequality and convergence of random series.

10 votes
Accepted

Prove that if $\sum |a_n - a_{n+1}| < \infty$ then $(a_n)$ converges

9 votes
Accepted

Prove that $g(0) = 0$

8 votes

Probability that last child is a boy

8 votes
Accepted

If $f\in L^1(\mathbb{R})$, then $\sum_{n\ge 1}f(x+n)$ Converges for a.e. $x$.

7 votes
Accepted

Is Bloch "Proofs and fundamentals" take on Zorn lemma Safe and sound?

7 votes

Why is $(1-\cot 37^\circ)(1-\cot 8^\circ)=2.00000000\cdots$?

6 votes
Accepted

Convergence in Distribution of the maximum of a sequence.

6 votes

How small the probability $\Bbb{P}(X_1+X_2 +\dots +X_n < n + 1)$ can be if $\Bbb{E}(X_i) = 1$?

6 votes
Accepted

Expectation value - does it need to be on a Banach space?

6 votes
Accepted

Wald’s identity for Brownian motion with $E[\sqrt T]<\infty$.

6 votes
Accepted

Set of continuous function is not measurable

6 votes
Accepted

lebesgue measurability of $\sum_{n=1}^\infty \frac{\cos nx}{n^2}$

6 votes
Accepted

Does an injective function always have a left inverse?

6 votes

The sequence $(\frac 1n )$ of inverses of natural numbers converges to a limit other than $0$

6 votes

Continuous and discontinuous function problem

5 votes
Accepted

Is there a definition of $[Y|X=x]$ as a random variable?

5 votes

Show that the series converges absolutely $\sum (-1)^n \frac{1}{n (\log n)^2}$

5 votes

Why does $n \geq 2$ imply that $\frac n 2 < n$?

5 votes

Is it mathematically problematic to consider the complex space of real(!)-valued functions?

5 votes

Stochastic processes as Banach or Hilbert-space-valued random variables

5 votes

Showing that the sequence $\Big(\frac{e^{int}}{\sqrt{2\pi}}\Big)_{n=1}^{\infty}$ is an orthonormal basis for $L^2 ((-\pi, \pi))$

5 votes

Why is the gaussian free field a distribution but Brownian motion is a function?

5 votes
Accepted

Is this method of proving an infimum of a set valid?

5 votes

Complex Analysis: Show that $Arg(z)$ is discontinuous at each point on the nonpositive real axis.

5 votes
Accepted

"Subset of above not equal to" $ \subsetneqq $ Symbol

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