Recent content by Calabi_Yau

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    Can love survive graduate school and long distance?

    Thank you so much for your insights. I think that even if this doesn't work out, I would not trade a single moment I share with her for anything in the world. I'll need a few more years to settle my life and gain independence, perhaps that will be asking too much for her to wait, ALONE. But...
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    Can love survive graduate school and long distance?

    She is a good student, but has no interest in devoting herself to research. She is planning to stay and do the masters degree in applied math at our current university and then search for a job. I also believe it is possible if we truly like each other. But it's virtually impossible to guess...
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    Can love survive graduate school and long distance?

    I have been dating a girl for quite a while, we are both on our 2nd year of college majoring in maths. The other day while we were talking about ourselves I mentioned my intention to go study abroad for my masters and phD. I have really good chances to do that, I have very good grades and I am...
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    Linear Regression Error on Excel

    This is for an experimental physics homework,I am using the latest version of MS Excel. I have a set of data, I perform linear regression on them and it gives me a line y=ax + b. Given that both a and b have physical significance I would like to know how could I know the uncertainty...
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    Seeking Advanced Text In Mathematics/Mathematical Physics

    Thanks a bunch, I will look them up.
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    Seeking Advanced Text In Mathematics/Mathematical Physics

    By informal, I meant where the emphasis of the book was put. I will certainly acquire something like Boas for a start, and it seems to have a good reputation here. I will take it into account as well as the recommended books by my teachers. The reason I asked what I asked here, was because...
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    Need advice on the efficiency of a particular study habit that I have.

    I think that is a very common problem. For me, it works to be sure I master the basic concepts first and do all the "compulsory" homework, and then treat myself with challenging problems. Why do this? For me, I found that while I could solve hard problems, the exams always had some direct...
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    Seeking Advanced Text In Mathematics/Mathematical Physics

    The thing is I am more likely to become a mathematician than a physicist as I have come to realize that for as much as I feel intrigued about physics and their problems, what really drives me is the mathematics and not necessarily the physics. I had suspected this all along, and found that the...
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    Seeking Advanced Text In Mathematics/Mathematical Physics

    I'm majoring in physics and I'm about to take a course entitled Mathematical Methods of Physics. It covers Sturm-Liouville Theory, Integral Transforms, Fourier Analysis and PDEs. I read in the thread "So you Want to be a Physicist" that ”Mathematical Methods in the Physical Science” by Mary...
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    A comet revolves around the sun

    Right, I see. I assumed \frac{dr.r}{dt} = 0 does not imply dr(t)/dt = 0. (Sorry for not writing with the proper symbols, but I am not very used to using those features)
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    A comet revolves around the sun

    After a few unsuccessful efforts to try to prove it by means of pure geometry, I learned a very useful theorem about ellipses, that the tangent of a point bissects the exterior angle. I just had to prove that. Then I found the answer where I least expected. I learned about Fermat's principle of...
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    A comet revolves around the sun

    Homework Statement A comet revolves around the sun in a closed elliptical trajectory. Ignore any force acting upon it besides gravity. Prove that the angle between the position vector (sun in the origin) and the velocity vector of the comet at its perihelion and aphelion is 90º. The...
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    Is Levy-Desplanques Theorem limited to specific values of i and M?

    Yes, it provides with a counterexample, for i = M, which proves it isn't true for all i, but I thought we had to prove it is wrong for ALL i.
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    Is Levy-Desplanques Theorem limited to specific values of i and M?

    On the Levy-Desplanques theorem proof: http://planetmath.org/levydesplanquestheorem, they only prove the second inequality for M = i. What about if i ≠ M? e.g. if we are doing it for the first line on a singular matriz and M ≠ 1 we can't get to the second inequality. I thought that to prove...
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    Pendulum with Spring: Finding Position and Period

    I think the solution won't be much complicated as the problem is on Serway's Physics for Scientists and Enginneers. I guess, I'll skip this one for a while and get back to it later. If you come up with something, or if I come up with something I'll post it.
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