Xabier Domínguez
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 Feb 19 awarded Yearling Oct 10 awarded Yearling Sep 30 awarded Explainer Sep 24 awarded Autobiographer Oct 10 awarded Yearling Oct 10 comment Relation between a random variable and its conditional expectation For each event $G$, $X|G$ is a different random variable. If by "when $X=0$" you mean that you are considering the random variable $X|[X=0],$ that is a "constant random variable" (i. e. it takes only one value) and indeed, its expectation is zero. But this does not mean that $E(X)=0,$ nor that these considerations will help you in evaluating $P[Y\ne 0|X=0]$. Oct 10 comment Semigroup question what about "constant transformation"? Oct 10 comment Relation between a random variable and its conditional expectation "when $X=0$ its conditional expectation is 0 too"... whose conditional expectation? Oct 10 awarded Yearling Jun 27 comment Existence of measures assigning positive values to all open sets At least if $K$ is a topological group, the answer is yes: Haar measure on $K$. Jun 13 answered showing a set is not a subgroup Jun 8 awarded Constituent Jun 8 awarded Caucus May 12 suggested rejected edit on Set of all injective functions $A\to A$ May 12 answered Error analysis - Bisection algorithm May 11 comment How to prove the Closed map lemma Also, you should replace "sequence" with "net" since you don't assume metrizability. The argument works all the same. May 11 revised Proving that an embedding $G \hookrightarrow BC(G)$ is continuous. I added a bit more of information May 11 comment Exponential group? ;) You cannot go very far without it. May 11 comment Exponential group? You can have nonabelian groups. The main problem is that $\uparrow$ is not associative. May 11 answered Proving that an embedding $G \hookrightarrow BC(G)$ is continuous.