Recent content by marksman95

  1. M

    Linear fit, force intercept with X-uncertainties

    Oh, nice! I will check that tomorrow. Thanks for the effort.
  2. M

    Linear fit, force intercept with X-uncertainties

    Of course! The question is: how to make a linear fit, force the intercept to 0, and calculate the standard error for the slope if both X and Y have significant uncertainties. I think it is enough clear this way. Thank you in advance!
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    Linear fit, force intercept with X-uncertainties

    Thanks for your reply, Buzz. I am familiar with data fitting up to the point you have made. I know how the least squares parameters are obtained from the data and all (I'm a graduate physicist already, I don't know much but this, I do know.) My question was much more specific and I have been in...
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    Linear fit, force intercept with X-uncertainties

    I have some experimental data, in this case, we performed a study of the Zeeman effect in Cadmium with the use of a Fabry-Perot inferferometer. The data should fit a straight line, but I would like to force the intercept through the origin since the relation between the wavenumber difference and...
  5. M

    A good book to introduce information theory?

    Hi all! I would like to learn the basics of information theory and want a good book to do so. My math level is that of a second year undergraduate physics student, but I don't mind if I have to struggle a bit through it. Thanks!
  6. M

    How can dimensional analysis be carried out correctly?

    Dimensional analysis is useful in many ways. But I think you are trying to take it too far. What about a law in which an unknown constant has dimensions? My point is, dimensional analysis is helpful and necessary always. But don't try to take it too far.
  7. M

    Interesting 8x8 chess board counting problem

    An elementary path (without repeating any of the squares) from (1,1) to (8,8)
  8. M

    Interesting 8x8 chess board counting problem

    Well, I wasn't counting the first one and (don't know why) counting an extra row/column. Without counting the first square, we could say that every path has an even number of squares right? Could this help us to compute the number of all possible paths in an optimized way (knowing that is a huge...
  9. M

    Interesting 8x8 chess board counting problem

    If we leave aside the constriction of moving only up and right (we can move to all four directions), how many squares would take the longest path from (1, 1) to (8,8)? Obviously it should be an even number, right? 62 steps? EDIT: I meant without going twice through the same square
  10. M

    How can I solve this tricky integral in my differential equation?

    OK. Try separating the fraction into two fractions and integrating them separetly (you have two summands at the numerator, so you can express that as the sum of two separated fraction with the same denominator).
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    How can I solve this tricky integral in my differential equation?

    Try substitution y = t·x right at the beginning. (it's an homogeneous differential equation) EDIT: Sorry for my stupidity. You already did. I'm trying to integrate your expression right now.
  12. M

    Show that w is solenoidal having spherical polar coordinates

    MMMM... I think you got that rotational wrong. You cannot cancel those partial derivatives inside the determinant. Those vectors aren't zero, but their associated components. Also I think you haven't understood the exercice. It doesn't demand you to show that is irrotational, but to assume it...
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    How can dimensional analysis be carried out correctly?

    From my point of view, there's not such a way. Dimensional analysis just provide you from possible answers to a problem in what dimensions regards. In the case of the falling ball, you could take into account other variables as the air drag or the distance to the Sun, for example. But, as many...
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    Show that w is solenoidal having spherical polar coordinates

    First. To show that ω is solenoidal implies that the divergence of the vector field is 0. Thats easy to show: $$∇·\omega = \frac{1}{r\sin\theta}\; \frac{\partial\omega_\phi(r,\theta)}{\partial\phi}$$ and since the φ component of ω does not depend on φ, it's partial derivative equals 0. So...
  15. M

    Convolution theorem for Laplace Transform proof

    Thanks Orodruin! But now I think my problem is with this integration domain which is shown in the figure... Could you (or someone else) explain how this integration domain is found and understood? Thanks again!
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