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May
1
revised Weierstrass product expression for Klein's j-invariant
edited tags
May
1
answered What is $f_\alpha(x) = \sum\limits_{n\in \mathbb{N}} \frac{n^\alpha}{n!}x^n$?
May
1
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?
May
1
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.
May
1
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.
May
1
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.
May
1
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.
May
1
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...
May
1
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?
May
1
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.
May
1
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?
May
1
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.
May
1
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".
May
1
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.
May
1
comment Block inverse of symmetric matrices
@Marco, fixed; thanks.
May
1
revised Block inverse of symmetric matrices
fixed errant element
May
1
answered Derivatives of the Struve functions $H_\nu(x)$, $L_\nu(x)$ and other related functions w.r.t. their index $\nu$
Apr
27
awarded  Nice Answer
Apr
12
awarded  Enlightened
Apr
12
awarded  Nice Answer