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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 $X$ |
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accepted |
Prove that the closed unit ball of $L^2[a,b]$ is closed in $L^1[a,b]$ |
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comment |
Prove that the closed unit ball of $L^2[a,b]$ is closed in $L^1[a,b]$
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asked |
Prove that the closed unit ball of $L^2[a,b]$ is closed in $L^1[a,b]$ |
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comment |
Why is the Euclidean metric called the prime at infinity?
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asked |
Why is the Euclidean metric called the prime at infinity? |
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awarded |
Yearling
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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 Representative
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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 Representative
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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 |
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comment |
Prove that $\displaystyle\mathbb{Q}_p$ always contains $p$ solutions to the equation $x^p-x=0$
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accepted |
Prove that $\displaystyle\mathbb{Q}_p$ always contains $p$ solutions to the equation $x^p-x=0$ |
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comment |
Prove that $\displaystyle\mathbb{Q}_p$ always contains $p$ solutions to the equation $x^p-x=0$
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revised |
Prove that $\displaystyle\mathbb{Q}_p$ always contains $p$ solutions to the equation $x^p-x=0$
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asked |
Prove that $\displaystyle\mathbb{Q}_p$ always contains $p$ solutions to the equation $x^p-x=0$ |
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accepted |
Is the set of integers with respect to the p-adic metric compact? |
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revised |
Is the set of integers with respect to the p-adic metric compact?
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asked |
Is the set of integers with respect to the p-adic metric compact? |
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accepted |
Prove that $\displaystyle\prod_{q\in \mathbb{Q}^{\times}}|q|=1$ |
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comment |
Prove that $\displaystyle\prod_{q\in \mathbb{Q}^{\times}}|q|=1$
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