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 Dec 4 comment How to prove these three norm equivalence problems These are matrix norms: en.wikipedia.org/wiki/Matrix_norm Dec 4 comment Probability density function of $\sigma X + \mu$. For one thing, you expect that $\int_{\mathbb R} f_Z(x) \, dx = 1$, but if you use the formula for $f_Z(x)$ that you have, you don't get 1. Dec 4 comment Poisson distribution and probability of random variables I am not understanding your problem. You have the formulas you need: just replace $\lambda$ with 5 and simplify. Dec 4 comment Let $f(z)=e^x + ie^{2y}$ where $z=x+iy$. Where does $f'(z)$ exist? I think you just answered your own question: f'(z) exists if and only if x = log 2 + 2y. Dec 4 comment Independence of an event with null probability with another event. Example: Suppose X is uniformly distributed on [0,1]. Let A be the event X = 0.6 and let B be the event X > 0.5 Then P(B) = 0.5 and P(B|A) = 1, event though P(A) = 0. Dec 4 comment Independence of an event with null probability with another event. What do you find unsatisfactory about it? I find it unsatisfactory from the following point-of-view: If A and B are independent, I excpect P(B|A) = P(B). However, this only makes sense when P(A) is not 0. Nov 7 comment Unbiased estimates and cluster points You are right about that. Hmm...I am trying to get a feel for what unbiased means in terms of actual data. I guess I will have to think harder. Nov 7 asked Unbiased estimates and cluster points Oct 31 accepted Components of a k-regular bipartite graph Sep 8 comment Finding the MLE for parameter $\theta$ from distribution of the form $e^{-|x-\theta|}$ What exactly is your first question? For the second question, I would set $\alpha = e^{1/\theta}$, solve for $\theta$, plug that in $f(x|\theta)$ and find the MLE. Aug 25 comment Polytopes: proving completeness of set of facets Ah, OK. Maybe this will help: each facet defines a hyperplane and the polytope is the inside region of the intersection of all these hyperplanes. If you have a description of $P$ and the set of facets using hyperplanes, one should be able to check if they are all there. Aug 25 answered When is linear algebra usually taught Aug 25 comment Polytopes: proving completeness of set of facets What do you mean by maximal? Aug 25 comment Radius of Convergence of this Series Seems legit. I would have done the same. Aug 25 comment Finding all $x$ for $\frac{2x - 13}{2x + 3} \lt \frac{15}{x}$ I think that after the first step you can start determining the intervals where $x$ satisfies the inequalities. Draw a number line, mark the points where the denominator is 0 and then test points in between. Aug 25 comment Complex analysis: Radius of convergence of power series I would use the fact that cosine is bounded. Aug 24 comment what is the geometric idea of this theorem? Isn't this just a generalization of the Mean Value Theorem? Aug 23 awarded Yearling Aug 21 comment Characterization of Almost-Everywhere convergence Even though you cannot topologize almost everywhere convergence, you can create a convergence space out of it. Aug 3 comment odd person out game You have not told us what p is?