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 Dec 22 comment Algebra question resubmited Your previous question was closed. This is a literal copy. Why did you think it wouldn't get closed this time? Dec 22 comment Prove that s is finite and find an n so large that $S_n$ approximate s to three decimal places. @rlgordonma: I didn't want to completely give it away, but yes, that is closer to an answer :). Dec 22 answered Prove that s is finite and find an n so large that $S_n$ approximate s to three decimal places. Dec 22 answered Gamma function of negative argument Dec 22 suggested rejected edit on Prove that s is finite and find an n so large that $S_n$ approximate s to three decimal places. Dec 22 reviewed No Action Needed Finding a surface fitting equation for this set of data Dec 22 awarded Citizen Patrol Dec 22 comment How can I systematically find the roots of $x^4 + 1?$ Is there some algorithm? Better. Although I'd simply expect this question to be closed as duplicate. Dec 22 comment How can I systematically find the roots of $x^4 + 1?$ Is there some algorithm? Yes, those answers are much better and more welcoming. This just smacks an answer to the question, which is technically correct, but the techniques it relies on are not explained at all. Dec 22 awarded Custodian Dec 22 reviewed No Action Needed Hartshorne's proof of Proposition 2.5, Chapter II of his book Algebraic Geometry Dec 22 comment How can I systematically find the roots of $x^4 + 1?$ Is there some algorithm? How is someone who doesn't know how to find roots of $x^4+1$ helped by your answer? Dec 22 revised How can I find $\sum_{k=1}^{1233}f(\frac{k}{1234})$ added 4 characters in body Dec 22 comment How can I systematically find the roots of $x^4 + 1?$ Is there some algorithm? If you can understand this answer, you wouldn't have needed it in the first place. Dec 22 comment How can I find $\sum_{k=1}^{1233}f(\frac{k}{1234})$ I like how you can solve for $f(1/2)$. Dec 22 comment How many subsets of $\mathbb{N}$ have the same cardinality as $\mathbb{N}$? @DougSpoonwood: see Asaf's answer for an explanation. Dec 22 comment Simple equation misunderstanding I don't know what you're doing wrong, but I'm getting a different value (in fact, the one you're looking for) for the arctan. How are you calculating it? Dec 22 comment How can I find $\sum_{k=1}^{1233}f(\frac{k}{1234})$ Thanks to Mathematica for simplifying the terms, I wouldn't have voluntarily done this. Dec 22 answered How can I find $\sum_{k=1}^{1233}f(\frac{k}{1234})$ Dec 22 comment How can I algebraically prove that $2^n - 1$ is not always prime? I think the question can be interpreted as "prove that there are infinitely many $n$ such that $2^n-1$ is not prime". Otherwise, as @Hurkyl mentioned, you have already proved your own statement.