Recent content by benabean

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    Can you recommend any textbooks/lectures on cyber security?

    Hi PF, I am looking for some advice on textbooks or lecture course material that covers cyber security. I know it is a broad topic so as my background is in physics, I guess beginning at the introductory level would suit me best. I am interested in texts that include mathematical approaches...
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    Maximizing Speed: Understanding the Pendulum Motion

    A similar set up that might help you is to consider yourself swinging on a swing. When are you moving fastest?
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    Laplace's equation in spherical co-ords

    I have a simple question about the general solution to Laplace's equation in spherical co-ords. The general solution is: u(r, \theta, \phi) = \sum^{\infty}_{l=0}\sum^{l}_{m=-l}\left(a_{lm}r^{l} + \frac{b_{lm}}{r^{l+1}}\right)P_{lm}(cos\theta)e^{im\phi} (where the a_{lm}, b_{lm}...
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    Determining Legendre polynomials (Boas)

    I am having trouble evaluating the Legendre Polynomials (LPs). I can do it by Rodrigues' formula but I am trying to understand how they come about. Basically I have been reading Mary L. Boas' Mathematical Methods in the Physical Sciences, 3E. Ch.12 §2 Legendre Polynomials pg566. In the...
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    Position and momentum commutators

    I was just wondering if there was an identity for such an expression. (Looking at thesage's post, it was a silly assumption; i should have remembered that expansion!) It stems from trying to prove that [\hat{H},\hat{x}\hat{p}] = [\hat{H},\hat{p}\hat{x}]. I did get this proof in the end. I was...
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    Position and momentum commutators

    Can I write: [\hat{p^2},\hat{x}]\hat{p} = \hat{p}[\hat{p^2}, \hat{x}] in relation to position and momentum operators?
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    PF Males' Top Guy Movies: Debating Men's Journal List

    City of God is a definite for sure.
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    Where Can I Find Helpful Tutorials on Fourier Series?

    This guy needs some valium! Glad I don't have lectures with him at 9 on monday mornings :smile: good lecturer though.
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    How Can Vector Math Be Fun and Engaging for Students?

    You may find this website useful: Maths Help...working with vectors b.
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    Is it Integrable or Integratable?

    thanks guys :smile:
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    Is it Integrable or Integratable?

    If a quantity can be integrated is it integrable or integratable? (/integrateable?) Please verify my spelling if possible! :wink: cheers, b.
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    Who Are the Faces Behind Famous Scientific Theories?

    Feynman's blackboard on the day he died; 15 Feb 1988 Link
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    Who Are the Faces Behind Famous Scientific Theories?

    Their shoes all look identical as well
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    Can Adjacent Coils in a Solenoid Touch Without Affecting Its Functionality?

    Also with transformers, each coil must be electrically insulated from the (iron) core or else the current would flow through the core.
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    Who Are the Faces Behind Famous Scientific Theories?

    Just thought this could be a cool little thread. When reading over Physics or Maths theories, often getting bogged down in the literature, I love putting a face to the ideas and theories which were often hard to swallow for many of the scientific community at the time. Seeing a picture of the...
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