Recent content by kuahji

  1. K

    Linear Partial Differential Equations

    Thanks for the feedback! This is the one the professor is assigning for the class and was just hoping for one or two supplemental resources.
  2. K

    Linear Partial Differential Equations

    Just curious if anyone has any good recommendations for books or resources on Linear Partial Differential Equations. Thanks.
  3. K

    Proving P(A)≥P(B): Probability Proof

    Okay, just figured it out. Thanks everyone for the assistance.
  4. K

    Why Do Star Trails Appear Denser on One Side of the National Geographic Photo?

    National Geographic is featuring this star trail picture this week on their wallpaper page (found here http://ngm.nationalgeographic.com/your-shot/weekly-wrapper/2012/img/0812wallpaper-week-4-1_1600.jpg). In the picture though I was wondering why the star trails appear so much more dense on the...
  5. K

    Proving P(A)≥P(B): Probability Proof

    We have three events A, B, and C such that P(A|C)\geqP(B|C) and P(A|C')\geqP(B|C') Prove that P(A)\geqP(B). First I started with, P(A|C)=P(AC)/P(C) and similarly P(B|C)=P(BC)/P(C). From above, P(AC)/P(C)\geqP(BC)/P(C) and since P(C)\geq0, P(AC)\geqP(BC). Similarly from above...
  6. K

    What are some good graduate level statistics textbooks?

    Did a search on statistical textbooks on the forum but did not find much except introductory statistical textbooks. Just curious as to what are some of the better intermediate to advanced level statistics textbooks on the market?
  7. K

    Integral Help exp (-x)/x with 0 to t limits

    If we know t>0 then what is the best way to integrate this problem, without computer help?
  8. K

    How Does Griffiths Derive x Using Creation and Annihilation Operators?

    That was easy enough, thank you for the tip!
  9. K

    How Does Griffiths Derive x Using Creation and Annihilation Operators?

    Find the expectation value of the potential energy in the nth state of the harmonic oscillator. This is his example 2.5 in the book, he uses a\pm=1/Sqrt[2hmw](\mpip+mwx) to get x=Sqrt[h/2mw](a_{+}+a_{-}) My question how does he do this? I can't seem to make the algebraic manipulations to...
  10. K

    Confirming Gauss' Law: Finding Flux

    Nevermind, I went through the integral, it came out correctly... though it wasn't pretty.
  11. K

    Confirming Gauss' Law: Finding Flux

    In general I just wanted to see if I was setting this problem up correctly. We have a cube centered around the origin and a point charge at the origin. The task is to find the flux & confirm Gauss' Law. We are however to complete the integral ourselves. So imagining the top of the cube...
  12. K

    Baking Pan Patterns: Causes & Explanations

    So a friend of mine baked some cookies, then noticed some patterns on the baking pan. The person asked me what caused these patterns, or even if they are just random... any ideas? http://imageshack.us/photo/my-images/94/34124410150294532442373.jpg/
  13. K

    Calculating Potential Energy of 4 Charges - Deriving V(x,y,z)

    Consider 4 charges all of magnitude q located at the following positions: r1 = (+1; +1; 0) ; r2 = (-1; +1; 0) ; r3 = (-1;-1; 0) ; r4 = (+1;-1; 0) We now want to study the stability of such an equilibrium con guration against small displacements. Show that near the origin the potential...
  14. K

    What Are the Best Books on the Philosophical Implications of Quantum Mechanics?

    It was a decent popular account on the subject, I read it about two years back.
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