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Suppose $G$ is a finitely generated group with a finite symmetric generating set $A$. Lets define Cayley ball $B_A^n := (A cup {e})^n$ as the set of...
Asked on 01/03/2022 by Chain Markov
1 answerSo I have these three inputs -Reference Latitude and LongitudeDistance from reference pointBearing (in Radians)Now I'm looking for the Terminal latitude and longitude to plot in my map application. I...
Asked on 01/03/2022
1 answerLet $k$ be a positive integer. A spectator is given $n=k!+k−1$ balls numbered $1,2,dotsc,n$. Unseen by the illusionist, the spectator arranges the balls into a sequence as...
Asked on 01/03/2022
2 answerIs it always possible to generate a Hamiltonian circuit by adding smaller ones? For example, a 8x8 grid can be split into four 4x4 grids, each having a Hamiltonian circuit....
Asked on 01/03/2022 by correaswebert
0 answerOne number is removed from the set of integers from $1$ to $n.$ The average of the remaining numbers is $dfrac{163}4$. Which integer was removed?Source. ...
Asked on 01/03/2022 by Drich1002
4 answerLets say I have 750 dollars and want at least 1250 dollars at the end of a 50/50 game where I can bet any possible value. Is there any way...
Asked on 01/03/2022 by Big Altz
2 answerQuestion: Suppose $f_n, g_n:[0,1]rightarrowmathbb{R}$ are measurable functions such that $f_nrightarrow 0$ a.e. on $[0,1]$ and $sup_nint_{[0,1]}|g_n|dx<infty$.Give an example of two sequences $f_n$ and $g_n$...
Asked on 01/03/2022
2 answerLet $f$ be a holomorphic function at the unit circular disk and that $f(0)=0$. Now let $f$ be real valued function on the radii $[0,1)$ and...
Asked on 01/03/2022 by pencil321
2 answerI'm reading Béla Bollobás's Modern Graph Theory and one of the exercises (I.10) says the following:Show that in an infinite graph $G$ with countably many edges there exists a...
Asked on 01/03/2022 by laurencevs
0 answerWe all know that the Inverse Mellin Transform is$$left{mathcal{M}^{-1}varphiright}(x) = f(x)=frac{1}{2 pi i} int_{c-i infty}^{c+i infty} x^{-s} varphi(s), mathrm{d}s.$$So what is my problem? I want to calculate...
Asked on 01/03/2022
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