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Let $f_{n}:[0,1] rightarrow mathbb{R}$ be a sequence of function defined by$$f_{n}(x)=left{begin{array}{cc}n(1-n x), & text { if } 0<x<frac{1}{n} \0, & text { if }...
Asked on 01/30/2021
1 answer$DeclareMathOperator{Si}{Si}$I have been using two different softwares to plot the sine integral: $Si(x)$ Examples of functions I plotted: $$Si(x)$$$$Si(x-50)$$ When I...
Asked on 01/30/2021
1 answerI tried that if I can show $gcd(a^2b+a+5,ab^2+a+b) = 1$, then there is no solution. Am I true? Any hints /idea?I can't factorize them out such that each...
Asked on 01/29/2021 by user795084
1 answerA Senate committee has $5$ Democrats and $5$ Republicans. In how many ways can they seat around a circular table if all the members of each party sit...
Asked on 01/29/2021 by Shiv Tavker
1 answerLet $P (A) = 0.7$, $P(B^c) = 0.4$ and $P(B ~text{and} ~C) = 0.48$ a. Find $P (A ~text{or}~ B)$ when $A$ and $B$...
Asked on 01/29/2021
1 answerGiven a linear system: $A in mathcal{R}^{n times n}$ $$A = begin{bmatrix}n & 1 & 1 & cdots & 1 \1 & n & 1...
Asked on 01/29/2021
1 answerIn the report "An Elementary Proof of a Theorem of Johnson and Lindenstrauss" by "Sanjoy Dasgupta and Anupam Gupta" they make the claim that begin{equation}mathbb{E}(lVertfrac{(y_1,dots,y_d)}{lVert Y rVert}rVert^2) =...
Asked on 01/29/2021 by Godsbane
2 answerI need to find h in this 10th grade trigonometry question. I have already found the equations for AO and BO, does anyone know the method?...
Asked on 01/29/2021 by Dwij Bhandari
0 answerIf I try for a separable solution $u(r,theta)=R(r)Theta(theta)$ to the equation $Delta u=-ku$ where $kgeq0$ I run into some problems before getting to the Bessel functions part....
Asked on 01/29/2021 by Azamat Bagatov
1 answerGiven a digraph G and its adjacency matrix A, which is the easiest way to check if it is strongly connected? In the case of an undirected graph I...
Asked on 01/29/2021 by Javier CF
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