# angry twat

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it's the final countdownnnnn nanananaaa nananananaaa

# 477 Actions

 Mar24 asked For a family of functions $F\subset C(X)$ in the metric space $(C(X),d)$, if $F$ is compact on compact subsets of $X$, then $F$ is compact on $X$ Mar23 accepted Prove that the closed unit ball of $L^2[a,b]$ is closed in $L^1[a,b]$ Mar23 comment Prove that the closed unit ball of $L^2[a,b]$ is closed in $L^1[a,b]$The subsequence can just be $f_n$ itself right? Mar23 asked Prove that the closed unit ball of $L^2[a,b]$ is closed in $L^1[a,b]$ Mar20 comment Why is the Euclidean metric called the prime at infinity?@ZhenLin: The answer in that question is sufficiently far above my head that I can't quite tell whether it would answer my question, but it seems like it might, thanks. Mar20 asked Why is the Euclidean metric called the prime at infinity? Mar14 awarded Yearling Mar5 comment Prove that the sequence satisfying $a^{p^n}\equiv a^{p^{n-1}}$mod $p^n$ for $n\geq 1$, converges to the Teichmuller RepresentativeI guess continuity was the issue that was stumping me. Since the only way to represent this Teichmuller Representative is with an infinite sequence (or series), the best I could hope to do was to show better and better approximations of the number were evaluated closer and closer to zero by $x^p-x$, but that would rest on the continuity of polynomials in $\mathbb{Q}_p$, which I'm not sure I was suppose to know. Mar5 revised Prove that the sequence satisfying $a^{p^n}\equiv a^{p^{n-1}}$mod $p^n$ for $n\geq 1$, converges to the Teichmuller Representativeadded 209 characters in body Mar5 asked Prove that the sequence satisfying $a^{p^n}\equiv a^{p^{n-1}}$mod $p^n$ for $n\geq 1$, converges to the Teichmuller Representative Mar3 comment Prove that $\displaystyle\mathbb{Q}_p$ always contains $p$ solutions to the equation $x^p-x=0$This is a really enlightening answer, thanks for this. Mar3 accepted Prove that $\displaystyle\mathbb{Q}_p$ always contains $p$ solutions to the equation $x^p-x=0$ Mar2 comment Prove that $\displaystyle\mathbb{Q}_p$ always contains $p$ solutions to the equation $x^p-x=0$@Gerry Myerson: mod p would be by Fermat's little theorem correct? Mar2 revised Prove that $\displaystyle\mathbb{Q}_p$ always contains $p$ solutions to the equation $x^p-x=0$added 9 characters in body Mar2 asked Prove that $\displaystyle\mathbb{Q}_p$ always contains $p$ solutions to the equation $x^p-x=0$ Mar1 accepted Is the set of integers with respect to the p-adic metric compact? Mar1 revised Is the set of integers with respect to the p-adic metric compact?added 4 characters in body Mar1 asked Is the set of integers with respect to the p-adic metric compact? Feb22 accepted Prove that $\displaystyle\prod_{q\in \mathbb{Q}^{\times}}|q|=1$ Feb22 comment Prove that $\displaystyle\prod_{q\in \mathbb{Q}^{\times}}|q|=1$I do! =] ok thanks everyone for the quick responses.