Recent content by MayCaesar

Typically, I read 2-3 papers a week very thoroughly, and perhaps 20-30 selectively (the abstract, the conclusion, the introduction, the plots and their description in the text, and the parts I am interested in). I also browse the interesting articles that our group's feed supplies (a few...

Hi all, Hopefully this is the right section of the forum to post in! I am a 5th year PhD student in physics at a prestigious university in the US. First 2 years I was taking classes and working in particle physics. On my 3rd year I transitioned to astrophysics. So in terms of the dedicated...

Let's denote one of these "last terms" as x. For any two integers, the operation of summation is defined. Now add 1 to this number. There are two cases to consider (all other cases can be expressed in terms of these two cases): 1. x+1 equals x. Then, apparently, since the number is the same...

Suppose you are standing in your room holding an apple. You drop an apple on the floor by just opening your palm, without any additional motion. What is the initial vertical velocity of the apple? What is the initial horizontal velocity? Now, suppose you are standing in a helicopter moving to...

Recall the First Newton's Law. It says something about inertial systems. Try to apply it to this problem. What inertial system would you consider using in this particular case? Hint: try to find a system in which velocity of the dropping package will be easy to determine. Hint 2: assume that...

I would start with making a replacement y=x-2. You can further simplify this by taking z=\frac{y}{16}. After that just follow the way you did before, but the expression should look much more pleasant now.

On a side note, I've always disliked this notation (\frac{dx}{dt}) since, first, it looks like d is also a variable and, second, it, well, looks like a ratio which technically it is not. x\prime_t looks much more clear. I think Feynman also complained about it (as well as about \sin which looks...

Thank you so much! After looking up the Cauchi's formula proof and doing some search in the Internet, I came across a very nice tiny lemma proven by one of the posters at StackExchange: http://math.stackexchange.com/questions/83828/definite-integral-calculation-with-0-pole-and/184874#184874...

Hi everyone. While solving different contour integrals, I stumbled upon quite a few line integrals with pole(s) on contour. I've always solved them the same way, using the rule that for such lines the integrals equal \int\limits_\gamma f(z)dz=\pi i\sum\limits_n Res(f,p_n), where p_n are the...

Thank you lisab for your opinion! You are right, there is no way to tell what opportunities will come and go during study. However, they still usually asking for plans, for intents - and I will certainly have to mention my intent to stay in the US, as of now. I think I will say something along...

Yes, that's what I intend to do. I just wanted to know if it could have any negative consequences. I guess many people applying for PhD program in the USA want to stay there afterwards, so this is a very common situation, and immigration officers should understand... Hopefully.

OK, I've accepted the Notre Dame's offer. Maybe I should have waited for University of Toronto to make their decision, but after long consideration I decided that I wanted to study in the US. Also, with all these Crimea matters, I do not want to risk by delaying my decision - who knows what visa...

Yes, that was my reasoning initially. However, in astrophysics and HEP these 3 schools seem to be on the equal level, and I do not know exactly how to compare them; the number of faculty members in the fields is comparable, funding is a little bit better in Notre Dame, but not significantly...

I am still struggling trying to choose the best option possible. I have yet to hear from University of Toronto (according to Gradcafe and other similar forums, 15-20 of March is about when I should get either offer or rejection from them). But I have already been accepted to whooping 13 out of...

Well, I guess I just have certain prejudices against University of Toronto. I have always dreamed to study in the US and only in the US, so expecting an offer from, even if the best, Canadian school does leave me with certain skepticism. Although, now I am not so sure that "only US" is a good...