Recent content by JJHK

  1. J

    How to effectively learn during lectures?

    Hey guys, so this is something that I've been thinking about a lot over the past few years. I'm currently a Physics and Math major at UCLA and I'm relatively doing pretty well in all my classes, but there is something that I have been really struggling with ever since I started college. I can...
  2. J

    Simple Matrices proof using Mathematica help

    Simple Matrices proof using Mathematica help! Homework Statement Hey guys, I'm trying to prove that (AB)-1 = B-1 A-1 and also the one that looks the same but is with transpose of the matrices making A and B arbitrary 3x3 matrices. I made A = {{a_1,a_2,a_3}...} B =...
  3. J

    Help Me Master the G-Factor: A Serway's Modern Physics Guide

    Hello, I'm having a hard time grasping this g-factor. Why was it invented? How do you solve for it? I'm currently using Serway's Modern Physics textbook right now, and I feel like it skimped on it so much that I just have no idea what it really is. If someone can expound, it would be greatly...
  4. J

    Arc area of a sphere? (a piece of r^2*sinθ*ΔrΔθΔφ)

    I edited the post, and now the LaTeX stuff isn't showing up :/. Here it is again, hopefully unbroken this time \frac{1}{2}Δφ*(r+\frac{Δr}{2})2 - \frac{1}{2}Δφ*(r-\frac{Δr}{2})2 = r*Δr*Δφ
  5. J

    Arc area of a sphere? (a piece of r^2*sinθ*ΔrΔθΔφ)

    Arc area of a sphere? (a piece of r^2*sinθ*ΔrΔθΔφ) Hello, this is not a homework question. I'm trying to self-derive the divergence formula in spherical coordinates, and I'm doing this by taking a small arc-volume about the point (r,θ,φ), where r is the radial distance from the origin, θ is the...
  6. J

    Potential Well - a theoretical question

    So imangine a potential well that looks like this: --_-- where the 1st and the third line have a potential U and the 2nd line has U=0. A wavefunction is coming from the left with E>U. When the wave function hits the first potential change(where the ΔU = negative), does some of the...
  7. J

    Help with a subtle point concerning the proof of the p-series test

    Homework Statement Hi, I'm trying to prove the p-series test, using the integral test. Everything seems to work out fine until I get into this point: Consider when p≠1 (p=1 is easy to see that it diverges, so I will ignore that one). Then we have: ∫(n)^(-p) dn = [ 1 / (-p+1) ] *...
  8. J

    Convergence for a series: what is wrong with my method?

    Convergence for a series: what is wrong with my method?? Homework Statement For the following series, write formulas for the sequence an, Sn, and Rn, and find the limits of the sequences as n→∞. Homework Equations Sn is the partial sum of the series. Rn is the remainder and is...
  9. J

    How is the big bang related to the general theory of relativity?

    hi guys, I've read a few articles that say that einstein's general relativity paved the way for the big bang theory. Can anyone explain how they are connected?
  10. J

    Courses How important are first and second year undergrad physics and math courses?

    hello all, I'm a physics major who's finishing up my second year as a physics major. I'm finishing up the 3 introductory physics course sequence and also the 4-semesters of calculus courses. In my community college, I was able to rank 1st on my physics courses and in the top 5 of my math...
  11. J

    Is knowing a computer language vital for someone pursuing Theoretical Physics?

    Thanks guys, everyone seems to agree that I should take it. "M Quack" said I should focus on programming, not the language. The class that I'm thinking about is "Intro to Program Concepts in C++", would that be suitable? I don't see a specific programming course @ my school. I think in order to...
  12. J

    Is knowing a computer language vital for someone pursuing Theoretical Physics?

    Hello! I am currently a sophomore in undergrad, majoring in Physics. I haven't been exposed to any computer languages, such as C++, and I am wondering if it necessary for me to know it? My major's requirement doesn't require it, but many of my physicist friends seem to recommend me take it. So...
  13. J

    Is Critical Analysis Just Fault-Finding?

    I said B at first
  14. J

    Is Multiplying a Complex Number by ejθ a Positive Rotation of Its Vector?

    Homework Statement Hello all, I'm currently reading through "Vibrations and Waves" by A.P French. I'm not very used to these type of books, so I could use a little bit of help right now: Show that the multiplication of any complex number z by ejθ is describable, in geometrical terms, as a...
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