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Herrpeter
  • Member for 9 years, 5 months
  • Last seen more than a week ago
5 votes
1 answer
481 views

Convergence in probability implies a.s. convergence in a countable space

3 votes
2 answers
123 views

How to compute the error of the Taylor series?

3 votes
3 answers
114 views

Compute $ \displaystyle \sum\limits_{n=1}^{\infty} \frac{1}{(4n+1)3^{2n}} $

3 votes
3 answers
123 views

What will be the value of $\displaystyle\int_{0}^{1} \frac{1-\cos(x)}{x} dx$ for the first three decimal digit?

3 votes
1 answer
4k views

Solve this problems with the Euler's theorem

3 votes
3 answers
551 views

Which point of the sphere $x^2+y^2+z^2=19$ maximize $2x+3y+5z$?

3 votes
1 answer
71 views

Is there any easy way to calculate the value of this determinant?

3 votes
3 answers
118 views

How can I find the roots of the polynomial $12x^{4}+2x^3+10x^2+2x-2$?

3 votes
2 answers
53 views

Prove that $z^{\alpha} = \sum_{k=0}^{\infty} {\alpha \choose k} z_{0} ^{ \alpha - k}(z -z_{0})^k$

3 votes
1 answer
64 views

Show that there is one linear mapping $\varphi : \mathbb{Q}^3 \rightarrow \mathbb{Q}^3$

2 votes
1 answer
51 views

What is the transformation matrix of the linear mapping?

2 votes
3 answers
113 views

What is the solution of the following congruency

2 votes
1 answer
735 views

How to draw the Hasse diagram of the following poset?

2 votes
1 answer
97 views

Is this linear mapping positive definite, symmetric, bilinear?

2 votes
2 answers
60 views

Find a point of the plane which distance to a line minimal is

2 votes
1 answer
353 views

Prove the set is a $\sigma$-algebra

2 votes
3 answers
85 views

Show the convergence of the recursive sequence and it's limit $ a_1:= 1 \ ,a_{n+1}=\frac{1}{2}a_n+1$

2 votes
1 answer
73 views

Show that for all $x>0, P \big ( \exists n>0: \sum_{k=1}^n X_k\ge x) \le e^{-tx}$

1 vote
2 answers
85 views

Can the tensor $v_1 \otimes v_1 + v_2 \otimes v_2$ be written as a dyadic tensor $w_1 \otimes w_2 \in V \otimes V $?

1 vote
3 answers
161 views

Computing the eigenvalues and eigenvectors of a $ 3 \times 3$ with a trick

1 vote
1 answer
50 views

Prove that${n \choose k} \frac{1}{n^k} \le 2^{1-k}$, concluding that: $2 \le e \le 3$

1 vote
1 answer
42 views

Determine $a_n :=\frac{2^n+(-3)^n}{(-2)^n+3^n}, \lim \inf a_n,\lim \sup a_n, \lim a_n $.

1 vote
1 answer
39 views

Determine all local maximas and minimas

1 vote
0 answers
59 views

Determine $\mu \in \mathbb{R}$ so that an adapted process is a martingale and give the Doob decomposition of that adapted process

1 vote
1 answer
77 views

Show that $\lim_{n\to\infty} \int_{\{|x| >n\}} X \,dP =0 $ By using Beppo Levi's Lemma

1 vote
2 answers
43 views

Give a Matrix $P \in M_{2,2}(\mathbb{C})$ with the following properties:

1 vote
1 answer
47 views

Determine the weak convergence and applicable the weak limit

1 vote
1 answer
40 views

(Dis)prove for a matrix $A$ and for an unitary matrix $S$, where $D = S^{-1}AS$ a diagonal is which diagonalelements are imaginary that $A^{*} = - A$

1 vote
1 answer
27 views

Prove the equivalence of an upper bounded non empty set

1 vote
2 answers
73 views

Show that $S_n = X_1+ \cdots X_n $ the probability density function $f_{s{_n}}$

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