@Charlie Well, it works. One of my friends went to germany for an internship, and was looking for an apartment to lease. He was told to transfer the funds into an account 'over the phone'. He fell for it. He was only saved by the bank cashier who refused to take his payment since it was based in Nigeria.
what are the minimal generating sets for symmetric groups
I think S_4 has (1 2 3 4), (1 2 3)
gap> MinimalGeneratingSet(SymmetricGroup(5));
Error, no method found! For debugging hints type ?Recovery from NoMethodFound
Error, no 2nd choice method found for `IndependentGeneratorsOfAbelianGroup' o\
Hello, I have a question that I think is math related. It's sort of a game theory problem, but it's also about sending reliable messages across an unreliable channel. Here is the problem set up. Is there a name for this kind of problem? Is there any way for Alice and Bob to collaborate without putting themselves in danger?
I did write it. I'm paraphrasing an article I read long ago about the subject, but I forget how it was resolved.
I don't know if cryptography would be useful. The opposing army can't intercept any messages, because they are sleeping. The only risk is the pigeon not delivering a message at all.
Hi everyone. If I have an answer for a very old problem should I answer it? The user has been inactive since 1.5 years... http://math.stackexchange.com/questions/47795/number-of-edges-required-to-have-a-perfect-matching
@YongHaoNg If the question has been already answered, then it might not be good for you to do so. If the question has NOT been answered however, then you SHOULD post an answer!
@Kevin For danger, we have public key encryption. I encrypt the message with my key, and transmit to you. You encrypt that message with your key and transmit back to me. I decrypt the message with my key and then, send it to you, where you now finally decrypt with your key and read the message. This of course assumes that the message does get delivered.
@Kevin For the pegion delivery thing, in modern world, there are timeouts. We estimate the time taken by the pegion to reach you, and then we wait for approximately the double time to get the message back. Once that has been done. If the reply does not come back in that time, we retransmit the message using another pigeon.
for which (i,j,k) is it finite? I know $$ I: \langle s,t \mid s^2, t^3, (st)^5 \rangle\ $$ is finite because it's here en.wikipedia.org/wiki/Icosahedral_group
In mathematics, a triangle group is a group that can be realized geometrically by sequences of reflections across the sides of a triangle. The triangle can be an ordinary Euclidean triangle, a triangle on the sphere, or a hyperbolic triangle. Each triangle group is the symmetry group of a tiling of the Euclidean plane, the sphere, or the Hyperbolic plane by congruent triangles, a fundamental domain for the action, called a Möbius triangle.
Definition
Let l, m, n be integers greater than or equal to 2. A triangle group Δ(l,m,n) is a group of motions of the Euclidean plane, the two-dimensio...
I wonder which book I can learn about triangle groups in
I just realized there is a BPP algorithm for zeta(5).....
@user58512 I built robots for FIRST LEGO League competitions (elementary through early high school), and then progressed to building robots for the VEX robotics competition. For a sense of scale: https://picasaweb.google.com/117193422174132582321/VEXMidAtlanticChampionship2012#5719912416331487170
I've also had experience with the BOE-bot platform, and am now starting to dabble in Arduino. I'm much more interested in the programming/control system for these robots than with the construction thereof.
@user58512 eh. I haven't done so yet--FIRST LEGO League was more geared towards pre-programmed behaviors, and VEX was more for remote control (so my programs were more to help the controller and the robot become "one")
I'd love to learn AI, though. I'm taking a mobile robots course on Coursera, but it doesn't look like it will cover AI. Eventually, I'll get into that--I'm certainly going to try to take an AI course when I get to a 4-year school.
I really like it. Now, i will say that it requires a bit more self-drive than a normal class, because there's no penalty for doing poorly. That said--I took an Algorithms class and learned quite a bit. I'm going to take a lot more from there now.
@JasonBourne I don't think I have mentioned it... Anyway--I'd like to stay in Virginia for school, so I know I'm going to apply to UVa and Virginia Tech. Periodically, I change preference. :)
Outside of Virginia, I haven't thought much about that yet. I'm going to finish up another year at the community college after graduating highschool (to gather more transfer credit), so I have some time to think it over.
user19161
@anorton Oh OK. Have you thought about your career plans? Math or computers or what?
I'm mainly thinking about EE or CS right now. CS would be fun (I love programming), but I think I'd learn more in EE. I like to learn, so that has its appeal.
Math would be fun, but I'd have to do a bit more research before going that route.
With respect to careers: I have an interest in number theory/cryptography. However, I'm not sure I want to make a career out of that, or if it should just be a hobby. I also like programming robots, so that could easily be what I do, too. Being a professor has its draw, but I'd have to go and "shadow" a rese…
It has a good reputation. It all depends. Tech schools get a lot of distance out of having "tech" in their name, but it is far from the only option out there.
In my immediate group of co-workers, there are 2 PhDs in EE from UVa, one MS in EE from UVA, and one MS in EE from VT. Company-wide, I think 9 or 10 PhDs are affiliated with UVa either as former students or faculty.
@EdGorcenski Controls is an expansive field though. :P I guess you have to be proficient in almost everything from mechanical design to sensor behaviour to actual electrical goods.
Historically, we've done navigation and control; we've done work in adaptive control for air, sea, and land vehicles, intelligent control systems, control in the presence of damage, fault detection and isolation, that sort of thing.
Where you have a mathematical model based on first principles, and you have data, and you extract patterns from data using that model. Also, you can develop algorithms around models that have certain nice properties, e.g. guaranteed convergence, etc.