I am not a believer in anything spiritual or religious, including ghost, but i have had some strange occurrences that i cant explain. I've done some research on why things move on their own before i decided to directly ask on here after finding no non-biblical explanations on why this happens. Wh...
Let $F:\Omega\times [0,\tau]\to\Bbb R$ be smooth, where $\Omega\subset\Bbb R^n$ is open and $F(x,0)=0$ $\forall x\in\Omega$. Suppose $\partial_t F\le\Delta F+C\tau^{-2}$ on $(0,\tau]$, where $C>0$ is a constant. Why does the maximum principle imply $\sup_\Omega F(\cdot, t)\le C\tau^{-2}t$?
@DaveCoffman We seem to have a small but persistent cadre of users who vote for anything that interests them no matter how off-topic or cast pity votes (no idea which is more prevalent).
@privetDruzia: Real Americans can still laugh about themselves. Sadly, it's a dying breed. Too many Americans are channeling their inner German, these days, and are not funny.
@privetDruzia One that I worked on. DoubleChooz. The first experiment to get published with evidence for $\theta_{13}$ non-zero. Alas, Daya Bay got to 5 sigma about 2 months before we did, so they score the big prize.
@dmckee idk. when using someone elses song they have to ask permission to the singer or songwriter or someone else, in order to not infringe laws and all that stuff
@0celo7 Experiments have been running. The evidence is increasingly holding that the mass hierarchy of the neutrinos is "normal", and that $\delta_{CP}$ is likely non-zero.
$\text{NO}\nu\text{A}$, T2K. Super-k is still running as are Daya Bay and Double Chooz. KamLAND is doing yet another re-configuration. microBooNE is starting.
@dmckee When I visited Stony Brook's open house while deciding on a graduate program, I spoke with one of the grad students that had just got back from IceCube
@vzn I was affiliated with the 2015 USA team that attended the IYPT in Thailand, though I didn't actually go. I just worked on some of the problems in school. I have no current affiliation with any teams, though I believe that there is an effort to begin recruiting for the 2017 USA team. I can look into that, if you are interested. Bear in mind I won't be able to get any information about that for a few weeks.
@vzn If you're interested in the International Young Physicist's Tournament, their main website is here: iypt.org
They can explain it far better than I could.
But in short, it's a physics research competition between high school students.
Let $f:S^2\to \Bbb R$ be the function associated with a gradient Ricci soliton $g$ on $S^2$. Let $\xi=\mathrm{grad}(f)$, and let $J$ be an almost complex structure on $S^2$ compatible with $g$. Then $J\xi$'s flow is a group of isometries $\varphi_t$. Let $p$ be a critical point of $f$, then $a:=\rho -\frac{1}{2}\mathrm{scal}_p$, where $\rho $ is the soliton constant. Then $(\mathrm d\varphi_t)_p(v)=\cos(at)v+\sin(at)Jv$.
But the basic idea is right: in nonrelativistic quantum mechanics, if the mass is fixed, then the uncertainty in momentum is related to the uncertainty in velocity. Under these circumstances the velocity operator is defined as $\vec{v} = \vec{p}/m$.
my math thesis ended up being horrendously long, ~50 pg even after I switched it to two column. It was inflated a lot because it needed a lot more background information than is probably typical
@GPhys its nearly as long as some masters theses. think 30pg thesis as an undergraduate is significant. & another 50 in math? think you would be interesting speaker, plz consider it. plz note theres a substantial undergrad contingent on the site
No offense, but does page count matter for those of us who are gifted? I know that I wrote a lot to deflect from the fact that I didn't have much intelligent to contribute (I had basically figured out why everybody was designing the wrong DAQ architecture for an experiment, which made me correct but looking stupid...).
@CuriousOne Page count doesn't matter for anyone except those who impose page count restrictions (and those who have to meet them), I'd say. But still, it's one of those numbers people compare because that's what we do, we compare numbers.
@vzn: Interesting... I wasn't aware of that problem. Having said that... US undergrads? I think the expectations are a bit different between the US and the European system.
@vzn: In the US I would expect the grad students to do the heavy lifting, while in Europe one can occasionally get useful work out of an undergrad (not always, of course).
From what I've heard, the prevailing attitude in the US is that if you have done research as an undergrad, it gives you a big boost in getting into grad school in that field. Which implies that a lot of people don't.
@0celo7: We got pretty good results from our undergrads, on average. That's in Germany, maybe it's different in other countries. Personally I was working in a research group after my first exams... for a living, I needed to money from the RA position. OK, I was lucky getting that job.
at least at my undergrad university and physics department (larger "R2", but luckily nice physics department), I had to rely on charisma/class performance and seeking out professors to secure research opportunities
I was one of the only ones in the department, but I had convinced a good portion of friends to do as well
undergrad research was available, but you had to seek it out and it wasn't the "norm", I guess is what I'm saying
@GPhys: Anybody who says that one can just stumble trough university without personal contacts to and help from faculty doesn't understand how science works... who you know (and who trusts you) is an enormous deal.
If there is nobody around who can help you... run!
So what that means is that 90% of the undergrads who don't move on to grad school never learn the real deal? Ouch.
@0celo7: Ah... OK. Yeah, nobody cared about first year students in my university, either. They were waiting for us to wash out in the first exams. Not that many did in my year, but still. After that I got the job and a lot more exposure to what science really involves (like writing grant applications...).
One guy went to the same physics professor week after week until the guy said to him "I can't get rid of you, so I might as well give you something to do... ".
@GPhys exactly, understood, thats how it was in my time. btw are you in US or europe? can you say state? yes undergrad initiative/ effort/ results similar to yours seems notable/ uncommon all over the world, in a word "honors"
@GPhys this stuff is increasingly moving online/ open science/ open source, rewarding those with initiative/ selfmotivation, have some links on that, posted one recently
@GPhys just wondering are there aspects of HEP that are not particle oriented?
@CuriousOne yeah its kind of wild sometimes what actually constitutes a bachelors of science... it means more learned science not nec practiced it much different scenarios
Whereas theoretical physics is evolving (somewhat, jab) in meeting the latest data, I can focus on effectively providing the data to shape discussion regardless of origin. Even those of us not on the diphoton analysis always have something to excite people with
regarding the next big experiments, I think everybody (or at least me) is looking forward to DUNE getting off the ground
and keeping an eye on what China is going to be doing wrt colliders
@GPhys what do you mean "focus on effectively providing the data to shape discussion regardless of origin"? are you talking about the IT infrastructure etc? "origin" in different experiments?
at, e.g. ATLAS, analysis is broken up into, say, a team doing a search for vector-like bosons all by themselves, and another team doing a dark matter search, etc etc
@origin
even if I'm on, say, the vector-like boson search and I don't think vector-like bosons exist, it's still an important analysis
When a question makes the HNQ list, upvotes and answers from outsiders flood in.
The score distributions on these questions are highly abnormal. Often, a mediocre answer that misses the actual point of the question is voted up. Rarely, a totally incorrect answer gets voted to the top: the publi...
Theoretical physicists better come up with a good reason why there will be more to see below 10TeV than there was just below 1TeV... otherwise the taxpayer will cut us off. Sigh...
@SirCumference momentum is a useful quantity to work with for several reasons. For example it is conserved, and in Langrangian/Hamiltonian mechanics it is the conjugate variable to position. So we generally use momentum rather than velocity even though for a specific particle they are proportional to each other.
It will help in your reading to know the following simple facts:
1. An infinitely long transmission line is like a one-dimensional electromagnetic vacuum: if you send a pulse into the line, it never comes back.
2. From a circuit theory point of view, a resistor is equivalent to an infinitely long transmission line. For example, if I have a finite length transmission line with characteristic impedance of 50 Ohm, and I terminate it with a 50 Ohm resistor, then a pulse traveling in the line will go into the resistor without any reflected part (i.e. we have matched impedances).
The same thing would happen if we had "terminated" our finite transmission line with an infinite transmission line. Therefore, the infinite line is equivalent to the resistor.
3. Resistors produce voltage noise, called Johnson-Nyquist noise. Therefore, the transmission line must also produce voltage noise.
This noise is required to exist because of statistical mechanics, so a classical theory predicts it. It's actually exactly equivalent to black body radiation!
However, because of quantum mechanics, the voltage noise is still there at zero temperature.
> Johnson–Nyquist noise (thermal noise, Johnson noise, or Nyquist noise) is the electronic noise generated by the thermal agitation of the charge carriers (usually the electrons) inside an electrical conductor at equilibrium, which happens regardless of any applied voltage.