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I have been thinking about one problem, which is not understandable to me. Consider the following: I have a deck of cards (52 cards). I pick card after card (no...
Asked on 11/01/2020 by filtertips
1 answeri want to express probability of negative gaussian random variable in terms of $Q$ function. My doubt is, will it be same as the positive gaussian random variable?...
Asked on 10/31/2020 by charu
0 answerI have a simple probability question that has been confusing me. Lets say I generate a random variable $X$ drawn from the uniform distribution on $[0,1]$. Now, lets...
Asked on 10/31/2020 by mathim1881
1 answerLet $f,g:mathbb [0,infty)rightarrow (0,infty)$ satisfy $f^{(n)}(x)geq g^{(n)}(x)>0$ for all $n=0,1,2,ldots$ and $xin [0,infty)$. In particular, $fgeq g> 0$ are increasing and convex (from the case when $n=1,2$). Further, assume $f^{(n)}(x)geq...
Asked on 10/30/2020 by chlee
1 answerGiven $A_{1}=frac{1}{3}left(begin{array}{cc}2 & 2\1 & 0end{array}right),A_{2}=frac{1}{3}left(begin{array}{cc}2 & -2\0 & 1end{array}right)$ , as $W=sp{A_{1},A_{2}}$ Let $T:M_{2times 2}(mathbb{R})to M_{2times 2}(mathbb{R})$ be a linear...
Asked on 10/30/2020 by Jneven
0 answerConsider the transport equation$$u_y+u^2u_x = 0 tag{1}$$with initial condition$$begin{cases}1 &, xleq 0\ 0 &,xgeq 1\sqrt{1-x} &, 0<x<1end{cases} tag{2}$$ Find the solution using the method of...
Asked on 10/27/2020 by xotix
1 answerConsider the category of (undirected) multigraphs (possibly with loops) and multigraph homomorphisms.What are pullbacks in such a category? Is there an informal, colloquial and intuitive way to describe them?...
Asked on 10/27/2020 by Taroccoesbrocco
2 answerIn quantum mechanics we use quadratically integrable functions ($psi in L^2$).This means$$ int_{-infty}^infty |psi(x)|^2 mathrm{d}x < infty. $$ I'm interested in the question when those function...
Asked on 10/25/2020 by Dave Lunal
1 answerLet $S$ be a collection of subsets of ${1,2,dots,100}$ such that the intersection of any two sets in $S$ is non empty. What is the maximum possible...
Asked on 10/24/2020 by Rajat Taneja
2 answerLet $f:[0,1]rightarrow mathbb{R}$ be a positive measurable function. If $fleq 1$ almost surely and $fgeq 1$ almost surely (with respect to lebesgue measure). Show that $f=1_{A}$...
Asked on 10/23/2020 by orientablesurface
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