martini
Reputation
53,283
99/100 score
 7h answered Is $P(W \geq z |V \geq y)=P(U-V \geq z |V \geq y)=P(U \geq z+y)$ correct? 1d comment To prove that $G$ is the group the condition is not necessary $\forall a,b, c \in G(ba=ca\to b=c)$.? They are not a finite semigroup @ThomasAndrews 1d answered $\sigma$-algebra produced by a subclass of a class. 1d revised Notation in sums TeXification 1d answered How to establish convergence and find limit of the sequence$(n+1)^{1/\ln(n+1)}$ Feb 10 answered Is it true that $|e^z|\le e^{|z|}$ for all $z \in \mathbb C$? Feb 10 answered If $\mathbf{E}(e|x) = 0$, then $\mathbf{E}(h(x)e) = 0$ for any function $h(x)$ Feb 9 answered Non-Borel a.e limit of Borel functions Feb 9 answered What it the fourier transform of laplacian and shifted funtion? Feb 9 comment Does every positive integer appear in the digits of $2\cdot 0.1234567891011…$? For $3C$ you could argue as follows: Write $n = 3n' + j$, $j \in \{0,1,2\}$. If now $n' = a_k \ldots a_0$ in base $10$, we can look for $10a_k \ldots a_0 0$ in $C$ to find $3n'$. If $j = 1$, look for $10 a_k \ldots a_0 4 0$ in $C$, if $j = 2$, look for $10 a_k \ldots a_0 7 0$ in $C$ Feb 9 comment Is this operator a distribution? ... calculate $T\phi$ for a given $\phi \in C^\infty_0(\mathbf R)$. Feb 9 comment Given any 40 people, at least four of them were born in the same month of the year Because $3 \cdot 12 = 36 < 40$. Feb 9 comment Hybrid equivalence of Polynomial-like maps We want to have $\frac{\partial f}{\partial\bar z} = 1$ for $f(z) = \bar z$. Feb 9 comment Name of and references for the equivalence relation $x \sim y :\Longleftrightarrow x^2 = y^2$ Note that, due to $$x^2 - y^2 = (x-y)(x+y)$$ we have $x/\mathord\sim = \{x,-x\}$. So I do not think that $\sim$ is interesting. But, yes, $\mathbf R/\mathord\sim \cong \mathbf R^+_0$. Feb 9 answered Hybrid equivalence of Polynomial-like maps Feb 8 answered Does $\mathbb{P}$-a.s. convergence preserve independence? Feb 5 comment How to prove that for all $k\in\mathbb N$, $h(kx)=kh(x)$ and $h(x+y)\le h(x)+h(y)$? No, it's not. Just wanted to show that the scaling property follows even if $g$ does not have the triangle inequality Feb 5 answered How to prove that for all $k\in\mathbb N$, $h(kx)=kh(x)$ and $h(x+y)\le h(x)+h(y)$? Feb 5 comment True/false questions about minimal and characteristic polynomials of a matrix $f_A$ is the characteristic polynomial? Then your 1. is wrong, cause the polynomial you give has degree 5, but $A$ is a $3$-matrix Feb 5 answered How to go about proving dim(VxW) = dim V + dim W