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If I have a two correlated normal distributed random variables, i.e. $A sim N(m_a,sigma_a^2)$ and $B sim N(0,1)$, with correlation coefficient $ Corr(A,B) =rho$, then I want...
Asked on 12/27/2021 by Selos
0 answerLet $X=S^2$ be the unit sphere in $mathbb{R}^3$ and $T:Xrightarrow mathbb{R}$ be a continuous function. My topology textbook claims that the set $A={x in X |...
Asked on 12/27/2021 by Roberto Faedda
1 answerI am following a proof of the following statements: if $f:Xto Y$ is a morphism of varieties (say, quasi-projective), then the graph of $f$, i.e. the subset ...
Asked on 12/27/2021 by Redundant Aunt
1 answerAfter encountering many numerical problems related to finding real roots of a polynomial, I have fixed a simple path:For an odd-degree polynomial: complex roots come in pairs. If a...
Asked on 12/27/2021
1 answerConsider the following double integral: $$ int int_{S} (x+z) dS$$ Over the region in first octant of plane $ x+y+z=1$ I know the bounds are : $$...
Asked on 12/27/2021
2 answerWe define a set $X$ as compact if: "for every open cover of $X$, there exists a finite subcover." An Open Cover $C$ of $X$ is...
Asked on 12/27/2021
1 answer$Q)$ There are fields $mathbb{Q} subset F subset K$ (Here the $mathbb{Q}subset $F and $mathbb{Q}subset $ K are Galois extension) Say the $f(x) in ...
Asked on 12/27/2021
1 answerLet $f(x, y)$ be a real valued function defined on the real domain $X times Y$ which is integrable in the Riemann or Lebesgue sense (or any other...
Asked on 12/27/2021 by Tom Collinge
0 answerSuppose I take a space $M$ of smooth functions $rho:Xrightarrowmathbb{R}$, and I give $M$ some manifold structure (perhaps as a Banach or Hilbert manifold?). Then if I...
Asked on 12/27/2021
0 answerLet $A$ and $B$ be two non empty finite sets. Also, $A cap B = varnothing$. Then I have to prove that $A cup B $...
Asked on 12/27/2021
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