Skip to main content
fGDu94's user avatar
fGDu94's user avatar
fGDu94's user avatar
fGDu94
  • Member for 5 years, 2 months
  • Last seen this week
7 votes

Integral of $ \int x^{n-1}W(x)dx $

7 votes

Is the sum of the series $\sum 1/3^n$ equal to $1/2$ or $3/2$?

6 votes

How to compute a Jacobian using polar coordinates?

5 votes
Accepted

Show, that $ I_{m,n}:=\int\limits_{0}^{1}x^m(1-x)^n dx \text{ holds }I_{m,n}=\frac{m!\,n!}{(m+n+1)!}$

5 votes
Accepted

how to prove the hypergeometric function ${}_2F_{1}(1,1;2;-x)=\frac{\log(1+x)}{x}$

4 votes

Total variation of integral function

4 votes

Why aren't 1 and -1 included in the graph of signum fuction?

4 votes

Why does $x!$ grow faster than $(x/2)^{(x/2)}$ but slower than $x^x$?

4 votes
Accepted

Suppose G is a group, a, b ∈ G such that |b| = 2 and bab = a^4 .

3 votes
Accepted

How many way can you encode a five letter word

3 votes
Accepted

Let $X_1,X_2,...$ be i.i.d. RVs and let N be another independent RV which takes values from nonnegative integers. Let $Y=\sum_{k=1}^N X_k$

3 votes
Accepted

differentiation of Laplace transform solution

3 votes
Accepted

About $l^1$ norm

3 votes

Why isn't $(2x+x^2)^{1/2}$ the same as $(2x)^{1/2}+x$?

3 votes

If $f(x)=\int_a^x f(t)dt$, is $f(x)=0$?

3 votes
Accepted

How can I solve this absolute value equation?

3 votes
Accepted

Understanding infinite product of $sin(\pi z)$

3 votes
Accepted

Let $X_t=\int_0^t \sigma (t)dB_t$. What is the law of $X_t$?

2 votes

Probability mass function of $ \min(X, Y)$ where $X,Y$ are i.i.d discrete uniform

2 votes

Randomly generate a sorted set with uniform distribution

2 votes

Examples of smooth functions 1

2 votes
Accepted

Why $\int_{-1}^1\frac{1}{\sqrt{|x|}}dx=4$?

2 votes

Prove by induction that the $n$th iterate of $\frac{x}{\sqrt{1+x^2}}$ is $\frac{x}{\sqrt{1+nx^2}}$

2 votes

Proof of the equivalence of the two definitions of heavy-tailed distributions

2 votes

inequality with absolue value

2 votes

Inequality $\tan(a)^b+\tan(b)^c+\tan(c)^a\geq \tan(a)^c+\tan(c)^b+\tan(b)^a$

2 votes
Accepted

Calculating posterior probability for double exponential distribution $\pi(\theta)=\frac1{2a}\exp\left(\frac{−|θ|}{a}\right)$

2 votes

Let $d(x)=min_{n \in \mathbb Z}|x-n|$, Prove that $f(x)=\sum_{n=1}^{\infty} \frac{d(10^{n}x)}{10^{n}}$ is a continuous function on $\mathbb R$.

2 votes
Accepted

Show $P(0<X<2(\lambda+1)) \gt \lambda/(\lambda+1)$

2 votes

$\sum_{n=0}^{\infty}\frac{x^{n+1}}{n+1}P_n(x)=\frac{1}{2}\ln\left(\frac{1+x}{1-x}\right)$

1
2 3 4 5
8