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rubikscube09
  • Member for 8 years, 3 months
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14 votes
Accepted

Jordan measure and Riemann integral

6 votes

Doubts about a question I asked a long time ago (eigenvalues)

6 votes

is the real part of a holomorphic function holomorphic?

5 votes

For every $\alpha >1$, show that $\frac {\max\{X_1, \ldots ,X_n\}}{n^a} \rightarrow 0$ with probability 1

4 votes

Hahn-Banach From Systems of Linear Equations

4 votes

Finding the Expected Value and Variance

4 votes

Let $X\sim\text{Poisson}(\lambda)$ and $Y\sim\text{Poisson}(\mu)$ be independent real-valued random variables.

4 votes
Accepted

T linear continuous function of normed spaces with $\|T\|<1$, then $\|T^n\|\le \|T\|^n$

4 votes

Converse of Weierstrass M-Test: counterexample to the statement

4 votes
Accepted

Prove that if $\ K\subset\mathbb R ^n$ is compact and $\ F\subset K$ is closed then $\ F$ is compact.

4 votes

Is there Any Homomorphism Between Vector Spaces that is not Linear?

3 votes
Accepted

Prove that the Square of a Harmonic Function is Subharmonic

3 votes

Continuity vs. Uniform Continuity in Layman's Terms

3 votes
Accepted

Prove $\nabla(u\nabla w)=<\nabla u,\nabla w>+u\Delta w$

3 votes
Accepted

When does E[XY] = XE[Y] hold?

3 votes
Accepted

Probability of singletons in with an uncountable sample space

2 votes
Accepted

Rudin RCA 7.22. If both $f$ and the maximal function $Mf$ are integrable in $R^k$ then $f=0$ a.e.

2 votes
Accepted

Summation $\sum_{x\in [0, 1]} f(x)$ over all real numbers $x \in [0, 1]$.

2 votes
Accepted

Constructing a probability space

2 votes
Accepted

Prove that if $f\in L^{p}(E), 1\leq p<\infty, m(E)<\infty$, then $f\in L^{q}(E)$ for all $1\leq q\leq p$

2 votes

If Bt is a Brownian movement. Show that for any t and s, P (Bt> Bs) = 1/2.

2 votes
Accepted

What does it mean by $\sup{X_n}\ $

2 votes

Why is the inequality $\sum_{n=1}^{\infty} \frac{1}{n^2} \leq 1 + \int_1^{\infty} \frac{1}{x^2}$ true?

2 votes
Accepted

Intermediate value property supremum infimum

2 votes
Accepted

If $K$ is compact and $f\colon K\to\Bbb R$ has the intermediate value property, does $f$ attain its extrema?

2 votes

If the the difference of two consecutive terms of a sequence goes to zero, is the sequence bounded?

2 votes
Accepted

Interchangability of arbitrary sums and linear operator

2 votes

Why is curve length an integral (an area/volume)?

1 vote
Accepted

Adherent Point, Accumulation Point, Boundary Point, Interior Point

1 vote

Part 2 of the Fundamental Theory of Calculus