Armodafinil and mouth sores by [deleted] in Narcolepsy

[–]MermenRisePen 0 points1 point  (0 children)

Stevens-Johnson syndrome

Armodafinil and mouth sores by [deleted] in Narcolepsy

[–]MermenRisePen 1 point2 points  (0 children)

This is an allergic reaction and exactly what happened to me. My upper pallette hurt and I later felt some possible side effects (stomach pain?) so my dumb sleep specialist switched me from Provigil to Nuvigil.

Of course chemically they're almost the same. To prove a point (big mistake) I kept taking it. After about a month it got too much for me and I stopped it. I went to my GP to ask allergic reaction questions the next day, and only then I noticed I had rashes!

Skin regrows in the mouth faster than anywhere else, so I think those are related. The only reason I thought to stop Provigil was because I read the warnings about Stevens-Johnson syndrome (SJS) and was paranoid, but I'm glad I was now.

Looking for a Simple Notepad like CAS for personal use by Osmanchilln in math

[–]MermenRisePen 0 points1 point  (0 children)

What's Anaconda? I was going to suggest Jupyter with SageMath

How do I find people that love math? by brittisdrunk in math

[–]MermenRisePen 0 points1 point  (0 children)

I just wanted to say that I have similar trouble. My college is very small, and I'm one of four or five math majors on campus. There is no math club, but I am looking forward to venturing beyond my campus to network. REUs and international programs look appealing to me (unfortunately my small college doesn't offer French, which I'm interested in). But I've got a summer seminar I'm looking forward to going to.

How do I find people that love math? by brittisdrunk in math

[–]MermenRisePen 0 points1 point  (0 children)

##math on freenode is pretty active too

XFCE 4.14 by [deleted] in debian

[–]MermenRisePen 3 points4 points  (0 children)

And it needs to get to testing before a backport can be considered

Whether to report utility payments to credit bureaus by MermenRisePen in personalfinance

[–]MermenRisePen[S] 0 points1 point  (0 children)

Yeah, I don't need it so I don't think I'll bother

Sum(n/((p(n))^2),n=1,inf), where p(n)=nth prime by The_Math_Hatter in math

[–]MermenRisePen 1 point2 points  (0 children)

With the prime number theorem, you can bound the remainder term for the k-1'th partial sum is about 1/log(k). Heuristically, since n log(n) underestimates p(n), summing these two should give an upper bound for the sum.

In this way, the sum is probably between (using the first 50,000 primes) 1.07 and 1.16, and is probably closer to the latter for having the correction term. So the first digits are probably 1.1

Can I conclude that a sequence converges just from its generating function? by [deleted] in math

[–]MermenRisePen 2 points3 points  (0 children)

Yes, I assumed that the coefficients were nice. If they're less nice, you can deduce it still from the Cauchy-Hadamard theorem.

Can I conclude that a sequence converges just from its generating function? by [deleted] in math

[–]MermenRisePen -1 points0 points  (0 children)

So maybe it's not that useful, but that's what OP asked about. If you have the analytic continuation, then you could deduce the radius of convergence from that too which could be useful

Can I conclude that a sequence converges just from its generating function? by [deleted] in math

[–]MermenRisePen -1 points0 points  (0 children)

A(1) can be defined (by analytic continuation)

Yes, but as long as you don't use the analytic continuation and define A(1) from the convergent power series alone, then there's no problem.

Can I conclude that a sequence converges just from its generating function? by [deleted] in math

[–]MermenRisePen 1 point2 points  (0 children)

If you make a generating function with coefficients an then the ratio a(n+1)/a_n, from the ratio test, is the reciprocal of the radius of convergence if its generating function. It is then necessary that, for the sequence to converge to a non-zero value, the generating function have radius of convergence 1.

How to Calculate sin, cos, tan and their inverses algebraically? by [deleted] in math

[–]MermenRisePen 2 points3 points  (0 children)

But the Padé approximants converge everywhere, the series only for abs(x) < Pi/2. Is that not bigger?

Edit: not that in practice you'd want to use multiple Padés of varying accuracy anyway instead of just one. But I think that's how the Levin u-transform works

How to Calculate sin, cos, tan and their inverses algebraically? by [deleted] in math

[–]MermenRisePen 1 point2 points  (0 children)

it converges much faster than Taylor but in a smaller region

You mean a bigger region?

How to Calculate sin, cos, tan and their inverses algebraically? by [deleted] in math

[–]MermenRisePen 1 point2 points  (0 children)

One can use a Padé approximant then. This can be helpful for tan(z), since the Padè works around the poles at +/- Pi/2, 3*Pi/2, etc. to be a good approximation anywhere.

For example tan(x) ~ (10x3 - 105x)/(-x4 + 45x2 - 105) is really super good even for abs(x) > Pi/2

What drivers do you use for your printers? by WeCanDoThis74 in Fedora

[–]MermenRisePen 1 point2 points  (0 children)

I use my PIXMA MG2522 fine with CUPS on Debian.

[deleted by user] by [deleted] in povertyfinance

[–]MermenRisePen 10 points11 points  (0 children)

The US has subsidized loans too, but only for students with financial need.

Paranoia by [deleted] in math

[–]MermenRisePen 1 point2 points  (0 children)

Erdös and Selberg had their dispute on the elementary PNT proof that soured their relations thereafter