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blog.georgeshakan.com | ||
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pfzhang.wordpress.com
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| | | | | Consider a smooth one-parameter family $latex {f_t}$ of diffeomorphisms on a manifold $latex M$. It is a flow if $latex f_0(x)=x$ and $latex f_{t}\circ f_{s}(x) = f_{s+t}(x)$ for every $latex x\in M$, , $latex t ,s \in \mathbb{R}$. Set $latex X(x)=\lim\limits_{h\to 0} \frac{1}{h}(f_h(x) - x)$. This generates a vector field $latex X: M \to TM$.... | |
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www.fredrikmeyer.net
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| | | | | 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... | |
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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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educationechochamber.wordpress.com
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| | | There are few simple solutions in education. If you are being promised one, it is at best a hopeful fib, at worst a deceptive sales-pitch. But there are some helpful principles that can guide our actions. A useful one I think could help improve literacy in primary and secondary schools: write less; read more. It... | ||
