Recent content by odiakkoh

  1. O

    Graduate How to deal with slowly varying errors?

    Hi, Here's a tricky sort of general problem I've been encountering quite a bit lately. It's all about errors that vary slowly. So: the way I've always been taught to deal with errors is to lump them into two different categories: "random errors", that are independent between measurements...
  2. O

    Graduate Beating with signals of different amplitude

    After further algebra Taking this a little further, I've managed to rearrange this into an even more revealing form. The formula looks a little bulky to start, but please bear with me... \left[A^2+B^2 + 2AB\cos\left(a-b\right)\right]^{1/2} \cos\left[\frac{a+b}{2} +...
  3. O

    Graduate Beating with signals of different amplitude

    Thanks, coomast, that's exactly the kind of expression I was looking for. Neat trick, too!
  4. O

    Graduate Beating with signals of different amplitude

    Thanks... So now we're left with the problem of taking the real part of the RHS, i.e. evaluating this: \Re\left( Ae^{iat}\left(1+\frac{A}{B}e^{i(b-a)t}\right)\right) I've had a go, but I just can't manage to manipulate the result into the form I want.
  5. O

    Graduate Beating with signals of different amplitude

    Okay: here's the question: It's a well-known thing that when you add two sinusoids of equal amplitude and different frequency then you end up with a signal with the mean of the frequencies and a beat envelope. This just comes from the trig identity: \cos(a) + \cos(b) = 2\cos(\frac{a+b}{2})...
  6. O

    Undergrad Programming libraries for C linear algebra

    CLAPACK does the job Thanks a lot! - CLAPACK does the job. For anyone else interested in doing matrix-type algebra in C here's some useful CLAPACK links: CLAPACK can be downloaded from here: http://www.netlib.org/clapack/ Documentation can be found here...
  7. O

    Undergrad Programming libraries for C linear algebra

    Hi, Can anyone recommend a freely available library in C or C++ that is able to calculate eigenvalues and eigenvectors of generalized eigenvalue problems. e.g. of the type: Au = LBu where A and B are matrices, L is the eigenvalue, and u is the eigenvector. N.B. the GNU Scientific...