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  1. K

    Becoming a mathematician - I am so depressed

    Very sound advice, though i doubt the op will take it or even admit to himself he has such issues.
  2. K

    Implicit function theorem for several complex variables

    I can't edit anymore, but of course the x in in ## f_j(w,x) ## is a typo. It should read ## f_j(w,z). ##
  3. K

    Implicit function theorem for several complex variables

    This is the statement, in case you're not familiar with it. Let ## f_j(w,x), \; j=1, \ldots, m ## be analytic functions of ## (w,z) = (w_1, \ldots, w_m,z_1,\ldots,z_n) ## in a neighborhood of ##w^0,z^0## in ##\mathbb{C}^m \times \mathbb{C}^n ## and assume that ##f_j(w^0,z^0)=0, \...
  4. K

    Question about Michelson Morley experiment

    Hmmm no I suppose they did not use collimated light back in the day, just white light I suppose. I also know that of course there was no path difference at all since the aether doesn't exist and light has the same speed in all inertial frames of reference, but the only thing I could think of...
  5. K

    Question about Michelson Morley experiment

    Thanks. Do you have any reference for this? I don't think I can work out the answer from these hints.
  6. K

    Question about Michelson Morley experiment

    I expect fringes to form because of a difference in the path of the two rays, one of them getting to the screen earlier than the other. The rays are collimated if they do not disperse much with distance, but tend to stay coherent and "point" in the same direction. I don't even understand what...
  7. K

    Question about Michelson Morley experiment

    Hi everyone. I'd like you to help me make sense of a question I found about the Michelson Morley experiment. This is it: "Explain how and why the uncollimated light rays form interference fringes? Can you say what would happen if the rays were collimated?" Does this question even make...
  8. K

    Sense of guilt for leaving my girlfriend.

    I can't stay with her because I owe her, It doesn't seem right, as she could find someone who doesn't stay with her out of indebtment. And anyway, who owes whom? We were together 7 years and we've both had bad moments and good moments. Now it's over but it doesn't mean that those years were...
  9. K

    Sense of guilt for leaving my girlfriend.

    Ok I guess I'll just keep to myself like I've been doing.
  10. K

    Sense of guilt for leaving my girlfriend.

    To the other guys, thanks for cheering me up a bit. I opened this thread because these days I was starting to miss her more and feel more guilty than usual so I was considering to change my desaparecido policy and concede to a meeting. But what next? She'll want to see me again someday soon and...
  11. K

    Sense of guilt for leaving my girlfriend.

    Hi Dembadon, as I wrote, on the day I dumped I also stayed there an hour and a half to give explanations. To answer the other question, yes we had already talked about it but she hadn't changed and it was the controlling side of her that bothered me the most; things had to go her way otherwise...
  12. K

    Sense of guilt for leaving my girlfriend.

    hmmm, no she is 27. And I don't think I disrespected anyone's womanhood.
  13. K

    Sense of guilt for leaving my girlfriend.

    Hi guys, thanks for your replies. My description of the event was somewhat brief. The night I drove to her and told her it was over I stayed for about an hour and a half during which I obviously exposed my reasons (I don't feel any close to how I used to, your personality is a problem, etc). She...
  14. K

    Sense of guilt for leaving my girlfriend.

    I have been with this girl for 7 years, and known her for 12. Things hadn't been completely right for a long time but lately, say in the last year, they got worse. We argued frequently because we both have kind of strong personalities. Ultimately though, I decided that some of her personality...
  15. K

    Programs Minor or Second major in physics

    I know this is not what you asked but personally I advise you to stay miles and miles away from trying to please your father by making a life changing decisions on his behalf.
  16. K

    Radioactivity - quantum tunnelling

    WP article about radioactive decay is too detailed. All I need is something that links a "potential well" situation to the half life of a substance, for instance.
  17. K

    Radioactivity - quantum tunnelling

    Relatively short.
  18. K

    Radioactivity - quantum tunnelling

    Can anyone link to a synthetic and understandable explanation of radioactivity through basic quantum mechanics? It does not need to be a comprehensive explanation at all, examples or partial explanations are fine. Online class notes are welcome but so are books suggestions. Thanks in advance
  19. K

    Is Med School worth it if your dreams lie elsewhere?

    This. I know a lot of people who went to Med School with various results. I second the suggestion of not underestimating it. Don't think that just because there won't be any proofs or difficult exercises to solve it's going to be a cakewalk. Expect to have to learn LOADS of stuff by heart. Long...
  20. K

    Normal to graph of a function

    Hi HallsofIvy, this vector is something similar to what I got (with inverted signs though, I probably did the cross product wrong). I don't see why it should have norm 1 in general, though and i need it to have norm 1 (Sorry, I just found out I should have written UNIT normal vector in the...
  21. K

    Normal to graph of a function

    Suppose you have a single variable differentiable function r: R -> R restricted to an interval, like [0,1] for simplicity, if you want. Consider the surface of revolution obtained by rotating the graph of r around the x axis. How do I find the NORMAL VECTOR to the surface at each of its points...
  22. K

    Becoming a mathematician - I am so depressed

    If you wish to further investigate the relationship between IQ and mathematics, check out the already mentioned Marilyn vos Savant making a complete and utter fool of herself. http://www.dms.umontreal.ca/~andrew/PDF/VS.pdf
  23. K

    Physics Switching to physics after doing finance as a quant

    No, he wants to be "in a position to have a personal lab of his own" after a few years as a quant. Looks like this guys needs to "get real" a bit.
  24. K

    What is the most difficult topic in PDE?

    They all come up. The standard euristic solution to the cauchy problem for heat equation IS a convolution of. The dirac delta comes up especially if you mention distributions, so pretty much everytime you hear about "fundamental solution(s)" etc.
  25. K

    Programs Parents Won't Pay for Physics Major

    !!!!! You made me wanna cry man. I mostly see parents who are overconfident about their spawn's potential and sometimes to the point of embarassment, but seeing someone your age so disillusioned with his father's opinion of him just doesn't seem right.
  26. K

    Testing Accessible Math Greats?

    Gauss' disquisitiones spring to mind
  27. K

    Parabolic mean value formula

    Thanks man!
  28. K

    Parabolic mean value formula

    A million dollar to anyone who can tell me where that 1/r^(n+1) comes from in the second equality on page 3 of this pdf...
  29. K

    Caught a girl staring at me

    At this point I was not expecting to read "wide smile" but you're clearly a much better person than I am :D
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