Tagging - 2019-12-18

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12:47 AM

@MartinSleziak deleted-tag The tag hookes-law was removed.

The tag gradshteyn-ryzhik was mentioned in this room before: chat.stackexchange.com/transcript/3740/2019/9/11

Although there are more questions in the tag, it still can be removed almost without bumping:

Sep 11 at 6:51, by Martin Sleziak

Currently 14 out of 16 questions tagged gradshteyn-ryzhik have also integration tag - so after retagging those two remaining questions, the tag would be gone without any additional bumping.

For those 14 questions, if a moderator merges grashteyn-ryzhik into integration, that would mean no other changes in tags and also no bumping.

The two questions without (integration) are:

Q: Infinite integral of Bessel function (2nd kind) product Gaussian

I'm trying to evaluate the following infinite integral: $\int_{0}^{\infty} x e^{-\alpha x^2}Y_0(\beta x) \,dx$ If we apply the general result in Gradshteyn & Ryzhik (eq. 6.631.2 on page 706), with $\mu=1$ and $\nu=0$ then the result should be $\int_{0}^{\infty} x e^{-\alpha x^2}Y_0(\beta x) ...

Q: Elliptic Integral from Gradshteyn and Ryzhik

In my course of work I came across the following elliptic integral, and found its solution in Gradshteyn and Ryzhik: $$\int_{b}^{u} \frac{\mathrm{d} x}{\sqrt{(a-x)(x-b)(x-c)(x-d)}} = \frac{2}{\sqrt{(a-c)(b-d)}}\,F(\lambda, r),$$ where $$\lambda = \arcsin \left(\sqrt{\frac{(a-c)(u-b)}{(a-b)(u-c)}...

elliptic-integrals gradshteyn-ryzhik

11 hours later…

Martin Sleziak

11:45 AM

new-tag A new tag fibonacci-polynomial was created by Niel de Beaudrap.

Q: Why are the moments of my random variable infested with Fibonacci polynomials?

Preamble I've stumbled upon (a particular variant) of Fibonacci polynomials in my work. The polynomials I'm encountering are of the form $$ F_k(x) = \begin{cases} \qquad\qquad 1, & k=1 \\ \qquad\qquad 1, & k=2 \\ F_{k-1}(x) + x\!\; F_{k-2}(x), & k > 2 \end{cases} $$ giving rise to a sequence of ...

random-variables expected-value fibonacci-polynomial

Fibonacci polynomials

In mathematics, the Fibonacci polynomials are a polynomial sequence which can be considered as a generalization of the Fibonacci numbers. The polynomials generated in a similar way from the Lucas numbers are called Lucas polynomials. == Definition == These Fibonacci polynomials are defined by a recurrence relation: F n ( x ) = { 0 ,...

1 hour later…

Martin Sleziak

12:52 PM

@quid Do you think that it is better to remove gradshteyn-ryzhik manually, or will moderators simply merge it into integral (so that it is done without bumping)?

This tag was disccused in this room yesterday and today I also added a short summary.

Also, Xander Henderson recently brough up svd vs. singular-value-decomposition, he mentioned it also in the mods' office. (Other tags from the linked post might be worth considering too.)

Sorry that I am pinging you personally - I know that any moderator could deal with this, the past experience shows that among the mods you handle the tag-related issues most frequently.

8 hours later…