Homework Statement
Let R be an integral domain and suppose that R[x] is a principal ideal domain. Show that R is a field.
Homework Equations
I don't know where to start, I'm not familiar with this material. I was browsing through an abstract algebra book and found this. Would like...
And I think you need to reread what I wrote. I mentioned twice that I am not nearly as intelligent as Einstein, and that it would take me much longer to make a significant contribution, but that it could still be done simply by working on something part time.
Thanks for admiring this, but I still don't know if I want to do it. It's not an easy decision to make. I might just end up doing research in an area where I could make smaller, yet notable contributions and that would afford me more time to enjoy a life outside of physics. I just don't know...
However, isn't both the quality of applicants as well as the ratio of applicants to positions greater in HEP than in condensed matter? I was under the impression that HEP applicants were typically very brilliant, whereas condensed matter applicants were highly intelligent (as are pretty much all...
While you certainly need an adequate amount of time to ponder something as profound as HEP theory, I'm of the belief that sometimes all it takes is the correct approach to solve a problem, not the devotion of your entire life to it. Albert Einstein developed his theory of relativity when he was...
This is correct when we're talking about spending time on a single problem (it won't help you to rack your brain over just one thing all day), but I'm referring to studying multiple problems. What I mean is that I'll have time to learn about and hopefully attempt to solve some particle physics...
This is what I thought might be the case. Thank you for informing me. I think I might just do condensed matter (I'm interested in studying turbulence) because there are more job opportunities in that field, and perhaps I'll study particle physics in my free time or something. My dream is to work...
Right, but consider that the stagnation of experimental results will result in the stagnation of theoretical results to some extent, and vice versa. For example, if it turns out that we do not detect the Higgs Boson at the the LHC, or perhaps we discover some completely new, weird type of...
I'm a senior UG, but I'm trying to plan ahead and see what I might be interested in doing. I want to get a head start and know what type of stuff I'll eventually be working on. My ultimate goal would be to make a notable theoretical advancement in particle physics, but I am also interested in...
How "hot" of an area of research is particle physics?
Hello friends. I am currently trying to decide which branch of physics I want to go into. I have been interested in working as a theorist in particle physics, but I am afraid that the job market for this is not good. Also, I am afraid that...
I'm an UG right now, but I plan on doing research in theoretical physics (probably particle physics. I want to work on finding a TOE. Possibly QM or QED instead). Which schools are best for these pursuits? Thank you.
Yes, but does Physics Today include information from other scientific disciplines? Clearly the focus is on physics, but I would like to know if you might find a few articles on say...molecular biology in there.