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Given a 3-uniform hypergraph $H=(V, E),$ the matching number $nu(H)$ is the maximum number of pairwise-disjoint edges in $E(H) .$ The cover number $tau(H)$ is the...
Asked on 01/17/2021 by Josh Ng
1 answerI have to compute $displaystyleint_C (e^x+cos(x)+2y),dx+(2x-frac{y^2}{3}),dy$ in the ellipsoide $frac{(x-2)^2}{49}+frac{(y-3)^2}{4}=1$ using Green's Theorem. The first thing I did was getting the parametric equation of the ellipse. $alpha(t)=(2+7cos(t),3+2sin(t)),;...
Asked on 01/17/2021 by Fabrizio Gambelín
1 answerThis is a question about the uniform convergence of a sequence of functions. First, note that $lim_{ntoinfty}h_n=|x|$ is known already. We simply need to get an appropriate bound on...
Asked on 01/17/2021 by Wiza
1 answerThis is a question in 2 steps :What does the monotone class theorem give us ?I have been thinking about the functional version of the theorem for a while...
Asked on 01/17/2021 by Alan Simonin
0 answerIf $A$ is an n by n real matrix, then $A$ is Hermitian if and only if $A$ is symmetric. Is this statement true or false? I...
Asked on 01/17/2021
2 answerFind the pdf of $X^n$ if $Xsim N(0,1)$Is there any general formula for this or we have to divide into 2 cases: $n$ is an odd number;...
Asked on 01/17/2021 by Hoang Skadi
0 answerBackground: I'm trying to build a lightweight antenna tracker with two servos. For mechanical reasons, I'm first mounting servo 1 on a base so that it tilts forward/backwards, then mount...
Asked on 01/16/2021 by Klapaucius Klapaucius
0 answerLet $X_{1}, ldots, X_{n}$ be independent and identically distributed random variables, with uniform distribution in $(0,1)$. Consider $Y_{1}, ldots, Y_{n}$ the associated order statistics and define ...
Asked on 01/16/2021
2 answerGiven the vertical cylinder with radius 1 ($x^2 + y^2 = 1$) oriented with an outward pointing normal and its intersection with the plane $z = xtan(phi)$ Consider...
Asked on 01/16/2021 by Nono4271
1 answerFind the shortest distance between $(0,2,0)$ and the straight line$x=y=z$ .Let the required point on the straight line be $(x,y,z)$ . Now we set up the...
Asked on 01/16/2021 by am_11235...
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