Recent content by KarolisK

  1. K

    Mathematica Mathematica: Optimizing NIntegrate with complex integrand

    Ok, since no one is replying and it is kinda akward to write one more reply to myself, I am not sure if I have stated the problem clearly. Therefore, I have made a minimum working example ready for compilation. So, as mentioned before I am stuck because the evaluation of NIntegrate takes too...
  2. K

    Mathematica Mathematica: Optimizing NIntegrate with complex integrand

    Ok, It seems I need to use AccuracyGoal for this, however it does not work for me, or am I doing something wrong? I would imagine AccuracyGoal would set the result accuracy to 4 digits, no?
  3. K

    Mathematica Mathematica: Optimizing NIntegrate with complex integrand

    Ok, so its probably because the precision is too big. Now I am confused how to make the calculations with a precision to 0,001 parts of a number. So in case of 0.0019, mathematica would return 0.002?
  4. K

    Mathematica Mathematica: Optimizing NIntegrate with complex integrand

    Hi, first of all I am new to Mathematica.(Mathematica v8.0.0) The Problem: I have been having some issues with one particular integral lately: I need to perform InverseFourier over a region of certain frequency and set the result as a function of time for later use...
  5. K

    Separating real and complex parts of a number

    z is real and negative and k is real and positive constant. Anyway, expressing the fraction sqrt(1/(1+iy0) can get me just as close as: \displaystyle{ k \cdot exp \left(\frac{1}{2}ln \left( \frac{1}{1+\gamma^2_0}-\frac{i\gamma_0}{1+\gamma^2_0}\right) \right) } Which I don't understand how to...
  6. K

    Separating real and complex parts of a number

    Ah yes, sorry, its the amplitude, thanks for noticing. I'll reformulate the problem. I need to get the expressions for the amplitude and the phase.
  7. K

    Separating real and complex parts of a number

    Homework Statement Hello, I am supposed to express the and the phase part of expression: \displaystyle{S=\frac{k}{\sqrt{1+i\gamma_0}} \cdot exp\left(\frac{z}{1 + i\gamma_0}\right)} Homework Equations The answer should be in the form: \displaystyle{S=a(\gamma_0) \cdot...
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