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 Jan19 awarded Tumbleweed Jan12 revised Double mass analysis and statistical errors added 46 characters in body Jan12 asked Double mass analysis and statistical errors Aug11 awarded Yearling Jul2 awarded Curious Mar25 asked Derivation of the advection equation Mar17 awarded Popular Question Aug11 awarded Yearling Feb28 revised Good metric on $C^k(0,1)$ and $C^\infty(0,1)$ added 193 characters in body Feb28 revised Good metric on $C^k(0,1)$ and $C^\infty(0,1)$ added 193 characters in body Feb28 answered Good metric on $C^k(0,1)$ and $C^\infty(0,1)$ Feb28 comment Good metric on $C^k(0,1)$ and $C^\infty(0,1)$ It is important to you that the interval your functions live on is open, right? If it would be closed like in $C^k([0,1])$, you could get a norm on this space that even makes it a Banach space. (And every norm induces a metric). That would be a rather good metric on $C^k([0,1])$ in my opinion. I don't know about the $C^{\infty}$-case though... Feb27 accepted Is every open, bounded and simply connected subset of $\mathbb{R}^n$ essentially a ball? Feb26 asked The simplicity of $\bigwedge^i \mathbb{C}^{n+1}$ as a representation of $\mathfrak{sl_{n+1}}$ and its weight vectors Feb19 accepted Do we really need Hahn-Banach that much? Feb19 comment Do we really need Hahn-Banach that much? Okay, thank you! Makes me kind of sad, though... ;) Feb19 comment Do we really need Hahn-Banach that much? Of course - didn't see that until now. That might prove a problem... :) Feb19 comment Do we really need Hahn-Banach that much? Since every $x\in X$ can be written uniquely as $x=y+c$ for $y\in Y$ and $c\in C$, we have $\|y'(x)\|=\|y'(y)\|\le \operatorname{sup}_Y$, so $\operatorname{sup}_X\le \operatorname{sup}_Y$. Feb19 revised Do we really need Hahn-Banach that much? added 3 characters in body Feb19 asked Do we really need Hahn-Banach that much?