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Let $q = frac{3p-5}{2}$ where $p$ is an odd prime, and let $S_q = frac{1}{2cdot 3 cdot 4} + frac{1}{5cdot 6 cdot 7} + cdots + frac{1}{q(q+1)(q+2)}...
Asked on 09/07/2020 by Shubhangi
2 answerI was solving a problem by using the Frechet derivative to find the maximum. I result to the following limit $$lim_{||x||_{mathbb{L}^2}to 0}frac{|f(x+t)-f(t)-J_{f(t)}(x)|_{mathbb{R}}}{||x||_{mathbb{L}^2}}=...=underbrace{lim_{||x||_{mathbb{L}^2}to 0}frac{|mathbb{E}(x^2)|_{mathbb{R}}}{||x||_{mathbb{L}^2}}}_{text{why is this equal to $||x||_{mathbb{L}^2}$}}=||x||_{mathbb{L}^2}to 0$$...
Asked on 09/07/2020 by Nav89
0 answerLet $Asubsetmathbb{R}$ such that $m^*(Acap(a,b))leqfrac{b-a}{2}$ for any $a,binmathbb{R}$. Show that $A$ is measurable and $m(A)=0$.Here $m^*(A)$ is the Lebesgue outer measure of ...
Asked on 09/06/2020 by gune
2 answerI saw this problem on the youtube channel called 3blue1brown. The problem is the following: There is a 8 x 8 chessboard, two prisoners (Prisoner 1 and prisoner 2), a...
Asked on 09/04/2020 by bob_the_fat
0 answerProve that for all $x>0$ it is $sqrt{x} > ln x$. I've defined the function $D(x)=sqrt{x}-ln x$, I've studied its first derivative and I've concluded that ...
Asked on 09/01/2020 by ZaWarudo
4 answerThe definition says that $x^n$ is in the ideal but I don't see what positive integer $4$ can be raised to in order to get $2$....
Asked on 08/31/2020 by dabofskateboarding
3 answerI have some points in 3D space. I can fit the equation of a surface z = f(x,y) to them either globally or locally.However:The surface does not pass through...
Asked on 08/31/2020 by confusedstudent
1 answerI am a student who has just finished high school. I can easily handle IB level differentiation, integration and complex numbers. I am interested in learning about the Fourier Transform....
Asked on 08/30/2020 by user10764803
2 answer1. Definitions: Unimodularity and cocommutativityLet $H$ be a Hopf algebra over a field $mathbb k$.We call $H$ unimodular if the space of left integrals $I_l(H)$...
Asked on 08/30/2020 by M.C.
1 answerThe equation is as follows: $$y=frac {c-x}{x+1}$$ Where $c$ is a positive, even integer. Is it possible to determine whether there are any positive integer solutions different than...
Asked on 08/28/2020 by Estagon
3 answerGet help from others!
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