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You are here		xorshammer.com Set Theory and Weather Prediction - XOR's Hammer
\|	\|	www.fredrikmeyer.net A topological space that is not first countable	6.0 parsecs away Travel
\|	\|	Recently me and some friends were discussing first countability, and noticed that Wikipedia gave an example of space that was not first countable, but with n...	6.0 parsecs away Travel
\|	\|	jmanton.wordpress.com Some Comments on the Situation of a Random Variable being Measurable with respect to the Sigma-Algebra Generated by Another Random Variable \| Jonathan Manton's Blog	1.6 parsecs away Travel
\|	\|	If $latex Y$ is a $latex \sigma(X)$-measurable random variable then there exists a Borel-measurable function $latex f \colon \mathbb{R} \rightarrow \mathbb{R}$ such that $latex Y = f(X)$. The standard proof of this fact leaves several questions unanswered. This note explains what goes wrong when attempting a "direct" proof. It also explains how the standard proof...	1.6 parsecs away Travel
\|	\|	almostsuremath.com Rademacher Series - Almost Sure	3.0 parsecs away Travel
\|	\|	The Rademacher distribution is probably the simplest nontrivial probability distribution that you can imagine. This is a discrete distribution taking only the two possible values $latex {\{1,-1\}}&fg=000000$, each occurring with equal probability. A random variable X has the Rademacher distribution if $latex \displaystyle {\mathbb P}(X=1)={\mathbb P}(X=-1)=1/2. &fg=000000$ A Randemacher sequence is an IID sequence of...	3.0 parsecs away Travel
\|	\|	reperiendi.wordpress.com Huge firefly larva \| reperiendi	9.5 parsecs away Travel
\|		https://www.youtube.com/watch?v=um4CBW79ZCg	9.5 parsecs away Travel