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 May1 revised Weierstrass product expression for Klein's j-invariant edited tags May1 answered What is $f_\alpha(x) = \sum\limits_{n\in \mathbb{N}} \frac{n^\alpha}{n!}x^n$? May1 comment Finding roots of polynomials with rational coefficients @T.Webster: they relate roots and coefficients, but do not give explicit expressions for one in terms of the other, no? May1 comment Calculation of Bessel Functions @Sas, I did say "Using the odd order case as a concrete example" and "In the case of even $n$, just replace all sines with cosines". As to how to derive, there is a reason why I wrote the midpoint formula the way I did; compare that with the integral formula. May1 comment why have we chosen our number system to be decimal (base 10) @Aw, I suggest reading this part of Underwood Dudley's book; some of the reasons given there are essentially the same as mine. May1 comment Functions cannot be integrated as simple functions If your website goes kaput, then your answer is rendered useless. I was telling you to make your answer "minimally" useful. May1 comment A continued fraction involving prime numbers @Shivam, one can certainly compute a numerical approximation of the constant you want to a pile of digits, but proving irrationality with it just seems rather unlikely. May1 comment Levin's u-transformation @bobbym, yes, but then I lost the code in a most inconvenient hard drive crash. I'll try rewriting them from scratch... May1 comment Endpoint of a line knowing slope, start and distance @fisherwebdev, you are aware that the argument order is atan2(y,x)=atan(y/x) in JS? May1 comment How to integrate $\int\frac{1}{\sqrt{1+x^3}}\mathrm dx$? @jm324354, "If I could choose one area in mathematics to pursue it would probably be solving tough integrals." - sometimes the pursuit of a closed form is worthwhile, and sometimes it isn't. It depends. Nevertheless, in the case of the elliptic integrals, it's often worthwhile. May1 comment Eigenvalues and Eigenvectors of $2 \times 2$ Matrix @Drazick, "gets one of the eigenvectors in the wrong direction (multiplied by 1)." - you are aware that if $\mathbf x$ is an eigenvector of $\mathbf A$, then any nonzero multiple of $\mathbf x$ is also an eigenvector? May1 comment Why is it so hard to find the roots of polynomial equations? @I.J.Kennedy, Neil has given you a working link; thank him. May1 comment why have we chosen our number system to be decimal (base 10) @Marcel, I was merely pointing out a linguistic note, and was in no way implying that it was, as you say, "evidence". May1 comment Is it possible to determine if this matrix is ill-conditioned? @Heisenberg, "no way to "casually" look at a matrix" - nope. You should probably post that matrix you're dealing with, perhaps in a separate question. May1 comment Block inverse of symmetric matrices @Marco, fixed; thanks. May1 revised Block inverse of symmetric matrices fixed errant element May1 answered Derivatives of the Struve functions $H_\nu(x)$, $L_\nu(x)$ and other related functions w.r.t. their index $\nu$ Apr27 awarded Nice Answer Apr12 awarded Enlightened Apr12 awarded Nice Answer