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Let $ ABC$ is a triangle, $ w_a, w_b, w_c$ are bisectors of angles, $ h_a, h_b, h_c$ are altitudes respectively, $ r$ is radius of...
Asked on 12/15/2021
1 answerI know that if $X_1 sim operatorname{Geo}(p_1)$, and $X_2 sim operatorname{Geo}(p_2)$, then $min{X_1,X_2} sim operatorname{Geo}(1-q_1 q_2)$ where $q_i=1-p_i$. Does it holds for any number of geometric...
Asked on 12/15/2021
3 answerIt is well know that the fundamental group of the Klein Bottle $G$ is defined by $$G=BS(1,-1)=langle a,b: bab^{-1}=a^{-1}rangle.$$ I know, for example that $BS(1,2)$ can...
Asked on 12/15/2021 by José Luis Camarillo Nava
2 answerCan someone please explain me the method to get the partial derivative of a function like:$h(x,t)=gleft(frac{x}{t^2}right)$ where $g$ is a differentiable function from $mathbb{R}tomathbb{R}$.I know that if...
Asked on 12/15/2021 by Charith
3 answerComparing probabilities for the two national Canadian lotteries - Lotto 6/49 and Lotto Max, I have noticed something illogical: First, you will see that the 2/6 + Bonus has a...
Asked on 12/15/2021 by Cannon444
2 answerlet $V$ be a vector space of final dimension above $F$ and $T,Scolon V to V$ diagonalizable linear operators for which holds $ST=TS$.I need to...
Asked on 12/15/2021
0 answerI need to find a matrix $A$, which holds $dim(A)=2$ and a vector $b$ for each holds:There is a solution for the equation $Ax=b$, but...
Asked on 12/15/2021
1 answerI need an upper bound on the following expectation:$$E_{x_1,dots,x_n} left| sum_{i=1}^n a_i x_i right| quad,quad mbox{s.t.} sum_{i=1}^n a_i^2=1.$$ Here $x_i$'s are iid Rademacher random variables ($x_i=+1$...
Asked on 12/15/2021 by Golabi
1 answerI know that $(0)$, $(x-a,y-b)$ for $(a,b)inmathbb{C}^2$ and $(f(x,y))$ for $f(x,y)$ irreducible in $mathbb{C}[x,y]$ are all prime ideals in $mathbb{C}[x,y]$. What I'd like...
Asked on 12/15/2021
2 answerWhy is the solution to a non-homogenous linear ODE written in terms of a general fundamental solution and not a matrix exponential? Generally, I see the solution to a...
Asked on 12/15/2021
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