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www.fredrikmeyer.net | ||
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xorshammer.com
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| | | | | Here's a puzzle: You and Bob are going to play a game which has the following steps. Bob thinks of some function $latex f\colon \mathbb{R}\to\mathbb{R}$ (it's arbitrary: it doesn't have to be continuous or anything). You pick an $latex x \in \mathbb{R}$. Bob reveals to you the table of values $latex \{(x_0, f(x_0))\mid x_0\ne x\}$... | |
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alanrendall.wordpress.com
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| | | | | In a previous post I discussed the Brouwer fixed point theorem and I mentioned the fact that it applies to any non-empty closed bounded convex subset of a Euclidean space, since a subset of this kind is homeomorphic to a closed ball in a Euclidean space. However I did not prove the latter statement. I... | |
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thehighergeometer.wordpress.com
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| | | | | Here's a fun thing: if you want to generate a random finite $latex T_0$ space, instead select a random subset from $latex \mathbb{S}^n$, the $latex n$-fold power of the Sierpinski space $latex \mathbb{S}$, since every $latex T_0$ space embeds into some (arbitrary) product of copies of the Sierpinski space. (Recall that $latex \mathbb{S}$ has underlying... | |
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uncommongenders.home.blog
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| | | There is lettragender! -Admin Opal | ||