Recent content by Kalidor

  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

    Graduate 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

    Graduate 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

    Undergrad 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

    Undergrad 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

    Undergrad 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

    Undergrad 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

    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.
  9. K

    Undergrad 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.
  10. K

    Undergrad 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
  11. 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...
  12. K

    Graduate Finding Normal Vectors to Surfaces of Revolution

    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...
  13. K

    Graduate Finding Normal Vectors to Surfaces of Revolution

    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...