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Hamdiken's user avatar
Hamdiken's user avatar
Hamdiken
  • Member for 4 years, 7 months
  • Last seen this week
  • Algeria
8 votes

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

5 votes
Accepted

To evaluate integral using Beta function

4 votes
Accepted

Is $M^{-1} = \frac{1}{4} (M +3I)$? yes/ No

4 votes
Accepted

Determine the function:$ f : \mathbb R \to\mathbb R$

3 votes

What is expected from a Master's thesis, especially contrasted with a Bachelor's or PhD thesis?

2 votes
Accepted

Square Integrable random variables are always integrable?

2 votes

$(\bigcap_{i\in I}A_i)\times(\bigcap_{j\in J} B_j)=\bigcap_{(i,j)\in I\times J}A_i \times B_j$ A Book of Set Theory Exercises 1.6 6a)

2 votes
Accepted

Compute $\int_\gamma \frac{1}{(z-4)(z-1)} dz$ where $\gamma$ is centered at $4$ with radius $1$.

2 votes
Accepted

Solve $y'-2=e^{x^2}y$

2 votes
Accepted

Improper Integral Calculation with Lots of Constants

2 votes

Common name for the formula $\sum_{i=0}^n k^i = \frac{k^{n+1}-1}{k-1}$

2 votes

I've been struggling with this method of proving $E[X^2] > E[X]^2$.

2 votes
Accepted

Some further explanation on a summation

1 vote

Compute $P(A=0, B=0)$ given random variables $X$ and $Y$

1 vote
Accepted

Product rule of Conditional probability

1 vote
Accepted

Covariance of Random Variables and limit of empirical expected value

1 vote
Accepted

On the calculation of mean square limit for the Ito integral

1 vote
Accepted

Arithmetic properties of cardinality of unions

1 vote

Find an explicit solution to the SDE $dX_t = \frac{1}{2} X_t B_t^4dt + X_t B_t^2 dB_t$

1 vote
Accepted

Metric space and closed sets

1 vote

Show dyadic transpose property $(a \otimes b)^T = b \otimes a$

1 vote

Equivalence class for a determinant

1 vote
Accepted

Property $E[\mathbf{xx}^T] = \mathbf{\Sigma}-\mathbf{\mu\mu}^T$.

1 vote

Let $\mathcal{A}= \{A_n = \left(0, \frac{n}{n+1} \right) \ | \ n \in \mathbb{N} \}$. Prove that $\bigcup \mathcal{A}\subseteq (0,1)$.

1 vote

Order relation in $\mathbb{Q}$

0 votes
Accepted

If $m(A)+m(B)>1$, then $A\cap B\neq \varnothing$

0 votes

Prove that $p \implies (q \lor (\neg r \implies p)) \equiv q \lor r$

0 votes

Prove that $cl(M)=int(M)\cup Bd(M)$ in an algebraic way

0 votes

Integral $\int_0^\infty x^ne^{-x} dx$

0 votes
Accepted

Confusion with set notation