echoone
Reputation
813
Next privilege 1,000 Rep.
Create tags
 Dec4 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. Dec4 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. Dec4 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. Nov7 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. Nov7 asked Unbiased estimates and cluster points Oct31 accepted Components of a k-regular bipartite graph Sep8 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. Aug25 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. Aug25 answered When is linear algebra usually taught Aug25 comment Polytopes: proving completeness of set of facets What do you mean by maximal? Aug25 comment Radius of Convergence of this Series Seems legit. I would have done the same. Aug25 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. Aug25 comment Complex analysis: Radius of convergence of power series I would use the fact that cosine is bounded. Aug24 comment what is the geometric idea of this theorem? Isn't this just a generalization of the Mean Value Theorem? Aug23 awarded Yearling Aug21 comment Characterization of Almost-Everywhere convergence Even though you cannot topologize almost everywhere convergence, you can create a convergence space out of it. Aug3 comment odd person out game You have not told us what p is? Jul26 comment The Star Trek Problem in Williams's Book Why not try the problem in the one-dimensional setting and see what happens? Jul19 awarded Critic Jul4 comment History of Dual Spaces and Linear Functionals @MattE I like that explanation. In fact, that is exactly how it was done historically according to the stuff I have read.