KingOliver
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 Nov5 comment Limit of metric of sequences Hmm, in that case I suppose I'm just not quite sure how to show that something like $|\rho(x_n,y_n) - \rho(x, y_n)|$ can be made small? Nov5 comment Limit of metric of sequences Ah yes I was unsure here whether I could use the absolute value metric $|\cdot|$ to prove convergence or whether I had to use a general $\rho$ to prove convergence. And $\rho$ is indeed a metric on $\mathbb R$ Nov5 asked Limit of metric of sequences Nov4 awarded Notable Question Oct31 asked Finding a nonzero continuous function that satisfies this integral equation, but not unique? Sep14 accepted Showing that $(a_n^2)$ is Cauchy implies that $(a_n)$ is Cauchy Sep8 comment Showing that $(a_n^2)$ is Cauchy implies that $(a_n)$ is Cauchy Ah! Precisely, thank you André Sep8 asked Showing that $(a_n^2)$ is Cauchy implies that $(a_n)$ is Cauchy Sep3 awarded Popular Question Jul20 awarded Popular Question Jun29 awarded Yearling Jun16 revised Checking an inductive proof on a combinatorial product added 10 characters in body Jun16 comment Checking an inductive proof on a combinatorial product @coffeemath when you say "yes" are you confirming that I do indeed have this right? I have added the $k \geq 2$ condition thanks for this input. Regards. Jun14 asked Checking an inductive proof on a combinatorial product Jun13 answered Introductory books on complex analysis? Jun13 comment Binomial coefficients equal to a prime squared Never mind, I now see that you would need $2p \cdot (2p - 1) \cdots (p)(p-1)\cdots$. Thanks again Jun13 comment Binomial coefficients equal to a prime squared I accepted Jyrki's answer, but I want to thank you for the referral to the paper, this is useful for the more general aspects of my project Jun13 comment Binomial coefficients equal to a prime squared many thanks for this response. A neat proof! However I wonder if you could elaborate on why it is necessary that $2p \leq m$, and not the more trivial bound that $p^2 \leq m$? Jun13 accepted Binomial coefficients equal to a prime squared Jun12 asked Binomial coefficients equal to a prime squared