Skip to main content
SABOY's user avatar
SABOY's user avatar
SABOY's user avatar
SABOY
  • Member for 6 years, 5 months
  • Last seen more than 1 year ago
9 votes
1 answer
537 views

$\mu$ is $\sigma$-finite $\iff \exists$ function $f \in \mathcal{L}^{1}(\mu)$ with $f(x)>0$ for all $x \in X$

6 votes
2 answers
101 views

Misconception on Jordan Canonical Form

5 votes
1 answer
226 views

Intuition: $]0,\infty[: \{x \mapsto \arctan{(nx)}: n \in \mathbb N\}$

5 votes
1 answer
129 views

Show that $P(\lim\limits_{n\to \infty} X_{n}=0 \operatorname{or} 1)=1$ and if $X_{0}=\theta$ then $P(\lim\limits_{n\to \infty} X_{n}=1)=\theta$

5 votes
1 answer
301 views

Show that $\mathbb E[\exp(-\lambda(T_{a}\land T_{b}))]=\cosh(\frac{a+b}{2}\sqrt{2\lambda})/\cosh(\frac{a-b}{2}\sqrt{2\lambda})$

4 votes
0 answers
47 views

How to show that an upper bound is $\frac{2-b}{1-b}\mathbb E [Y^{b}]$ exists for the following integral

4 votes
1 answer
99 views

How to obtain the bound $\lvert R_{n}(\omega)\rvert \leq \beta d(2^{n+1})^{d-1}$ in the Ising Model

4 votes
1 answer
122 views

Is 'Jensen type inquality' true in the following form $h\circ(g*f)\leq g* (h\circ f)$

4 votes
1 answer
59 views

Showing that the $T: \operatorname{dom}(T) \to \ell^{2}$ is closed

4 votes
3 answers
185 views

Why is it enough for $\lim\limits_{h \to 0} \vert f(x+h)-f(x)\vert = 0$ to show uniform continuity

4 votes
1 answer
90 views

How do I conclude from $ f \notin L^{p}$ that $f_{n} \nrightarrow f$ in $L^{p}$

4 votes
2 answers
455 views

Finding a pointwise convergent sequence that does not converge in the square mean

4 votes
2 answers
466 views

Example of $f$ semi-simple but not diagonalizable

4 votes
2 answers
687 views

How to get Jordan Form above the diagonal and not below it?

4 votes
2 answers
172 views

What to use for $\lim_{n\to \infty}\int_{[0,1]}\frac{n\sin{x}}{1+n^2\sqrt{x}}dx$

4 votes
1 answer
489 views

The Maximimum Monochromatic k-Cliques for Complete Graph

3 votes
2 answers
1k views

Providing Example that independence of events $A, B$ is dependent on Probability measure

3 votes
1 answer
143 views

Working with the case $\Omega$ is countable and $\Omega$ is uncountable for a singleton set generator $\mathcal{E}$

3 votes
1 answer
148 views

Find $\lim\limits_{n \to \infty} \sum\limits_{k=1}^{\infty}\frac{1}{k^{2}\sqrt[k]{n}}\sin^{2}\left(\frac{n \pi}{k}\right)$

3 votes
2 answers
160 views

Taylor Series of $e^{x^{2}+x}$ about $0$ and about $1$

3 votes
2 answers
619 views

How to prove differentiability and continuity for piecewise function

3 votes
2 answers
1k views

Uniform continuity of $\frac{1}{x^4+1}$ using mean value theorem

3 votes
2 answers
821 views

Compact metric spaces can be covered by finitely many $\epsilon$-balls

3 votes
3 answers
110 views

Hint: Showing $f_{n}(x):=\frac{n\sqrt{x} \sin{(x)}}{1+nx^{2}}$ converges in $L^{p}$ to $x^{-\frac{3}{2}}\sin{(x)}$

3 votes
0 answers
413 views

Different notation $dP(x)$ and $P(dx)$ [duplicate]

3 votes
0 answers
46 views

Problem with showing the integrability of $\int_{B}(x^2+y^2)^{-3/2}d\lambda^2(x,y)$

3 votes
1 answer
80 views

Show that $a_{n}M_{n} - a_{n}^{2}\xrightarrow{d} Q$

3 votes
3 answers
75 views

Proof Correct? Show that $\sum_{n \in \mathbb N}s_{n}t_{n}<\infty \Rightarrow s \in \ell^{1}$

3 votes
1 answer
63 views

Show that $F(\{ f \in L^{2}([0,1]): \vert \vert f \vert \vert_{2}\leq 1\})$ is relatively compact

3 votes
1 answer
44 views

Show that $G_{1}$ as the space of certain partial sums on $[0,1]$ is equicontinuous

1
2 3 4 5
12