Recent content by Sferics

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    Classical Mechanics : Taylor or Morin?

    I don't think we were given any of the four star ones on our problem sets. But the professor would often modify the problems, so it not was not always clear where in Morin they came from. I'd say the typical problem set was about 5 problems, being a mix of two and three stars. We'd also work in...
  2. S

    Classical Mechanics : Taylor or Morin?

    Not new. Read the first sentence of the preface. I'm not sure what you mean in the second part of your post. I interpreted Intermediate Mechanics as meaning the second mechanics course a physics major takes, after having taking mechanics freshman year. For that, we use Goldstein.
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    Classical Mechanics : Taylor or Morin?

    I am an undergraduate physics major at Harvard, and this is false. Morin is used in our 1st year Mechanics course. Our intermediate mechanics course (usually taken in the 2nd or 3rd year) uses Goldstein.
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    Summer 2013 Math and Science REU Thread

    How did you find out? I likewise applied to the UMich CERN REU, but have not yet heard back.
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    Courses Comparing Courses for Postgrad Prep: Microfabrication vs Circuit Design

    Hi all, I am currently deciding between two courses for the coming semester. I am a sophomore math and physics major, but contemplating an electrical engineering/physics postgrad program and possible career. As such, I would like to try out a more applied, lab-type course in order to explore...
  6. S

    Eigenfunctions of Operators with Continuous Sprectra

    I understand that these two examples (which he provides) are not normalizable, but it almost seems as if it just happened that way. How do we know that, for any arbitrary operator with a continuous spectra, it's eigenfunctions are not normalizable?
  7. S

    Eigenfunctions of Operators with Continuous Sprectra

    I'm self-studying Griffith's Intro to Quantum Mechanics, and on page 100 he makes the claim that the eigenfunctions of operators with continuous spectra are not normalizable. I can't see why this is necessarily true. Hopefully I am not missing something basic. Thanks in advance.
  8. S

    Need help with a proof on closure

    Almost, but not quite. To contradict the statement cl(A\capB)\supseteq[cl A \cap cl B] you must exhibit an element of [cl A \cap cl B] that is not in cl(A\capB). As you noted, if A=(0,1) and B=(1,2) such an element is 1, for 1\in[cl A \cap cl B] but 1\notincl(A\capB)=\phi
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    Need help with a proof on closure

    As noted, your "proof" is incomplete; you must also consider elements that are limit points of A intersect B. For the counterexample, consider the open intervals (0,1) and (1,2).
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    Has anyone here been to Harvard?

    Hi ScootAndGrime, I was accepted at Harvard, Princeton, Stanford, and MIT for the Class of 2015, and I will be a freshman at Harvard in just a few short days. I will try my best to answer your questions. 1) I'm not sure how to quantify "difficult to get in" - the most objective measures...
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    Where should I go for undergraduate study?

    Hello! I am a current high school senior fortunate enough to have been accepted to Harvard, Princeton, and MIT, and I am having trouble making a decision. Although I have not yet visited any of these schools, I plan to in the coming weeks. A little about myself: I am interested in majoring...
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    Can conservation of energy be applied to this problem?

    Homework Statement http://www.aapt.org/physicsteam/2010/upload/2010_FmaSolutions.pdf #25Homework Equations \taunet = 0 \Rightarrow Lo = L Conservation of Mechanical Energy The Attempt at a Solution I started by writing two equations: one for conservation of angular momentum and one for...
  13. S

    So I've been confused about transformers lately. In searching for some

    Is there method to arrive at the equation I1 = V22/(V1R) excluding energy conservation (due to reasons outlined above) ? Thanks for being patient with me. I am just having a hard time with this concept.
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