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I've been trying to prove that for a given random variable $X$, with pdf := $f_X(x) = e^{-x}1_{[0, infty)}$, the moment generating function of $Y:= sqrt{n}(overline{X}-1)$, where...
Asked on 02/10/2021 by Diego Andres Gomez Polo
0 answerThis is an example from S.Buechler's book Essential Stability Theory. Let $M$ be the group $bigoplus_{i<omega}(mathbb{Z}_4)_{i}$ with $mathbb{Z}_4=mathbb{Z}/4mathbb{Z}$. Suppose $M^{*}$ is the monster model of ...
Asked on 02/10/2021 by Max CYLin
2 answerIf $H$ is any subgroup of $G$ and $N = bigcap_{ain G}a^{-1}Ha$, prove that $N triangleleft G$.The notation here $N = bigcap_{ain G}a^{-1}Ha$ is tripping...
Asked on 02/10/2021
3 answerTotal number of combination of $a,b,c$ and $d$ where elements can repeat up to maximum $m,n,o,p$ times respectively.(Note: order does not matter , i.e., ${a,b}$ and...
Asked on 02/10/2021 by Hanu Goyal
1 answergiven the functional:$$ F(phi)=frac{1}{2} langle Lphi,phi rangle - frac{1}{2} langle phi,f rangle - frac{1}{2} langle f,phi rangle $$where the differential equation with operator $L$ and function...
Asked on 02/10/2021 by Hosein Javanmardi
1 answerConsider the annulus $$A:={(x,y)inmathbb{R}^{2}mid 1leq x^{2}+y^{2}leq 4}$$I have to find all (connected) covering up to isomorphism. My proof so far: First of all, we have a homeomorphism ...
Asked on 02/10/2021 by Udalricus.S.
1 answerProve the following identity on languages A, B: (A ∪ B)* = (AB)*For string x, the reversal of x, denoted $x^R$, is defined as , if x= ...
Asked on 02/10/2021 by I want to become a shepherd
0 answerYou are dealt $4$ cards face down on a table. You know that $2$ are red and $2$ are black. Let’s say you are given $100 to...
Asked on 02/10/2021 by Chase
2 answerMy problem is inspired by If $g$ is continuous and $f(a)=0$ then $fcdot g$ is differentiable at $a$ . Let's assume that $g:mathbb{R}^mto mathbb{R}^n $ is continuous at...
Asked on 02/09/2021
0 answerGiven a triangle $triangle ABC$, let $D$ and $E$ be on points $BC$ such that $BD=DE=EC$.The line $p$ intersects $AB,AD,AE,AC$ at $K,L,M,N$...
Asked on 02/09/2021 by Lupin
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