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Stat. Mech. by Pathria issue

  1. Apr 20, 2009 #1
    1. The problem statement, all variables and given/known data

    Problem 2.9

    Solve the integral:
    \begin{equation}
    \int \dddot \int dx_{1}dx_{2}\dddot dx_{N}
    \end{equation}

    where
    \begin{equation}
    0 \geq \sum_{i=1}^{N}x_{i} \leq R\]
    \end{equation}
    2. Relevant equations



    3. The attempt at a solution

    My issue is not really this problem but the general how-to. Pathria, it seems, does not like explaining the how and the why and instead thinks that a single example in Appendix C suffices. My attempt at a solution includes defining

    \begin{equation}
    x_{i} = u_{i}^{2}
    \end{equation}

    in order to get the hypervolume defined on a sphere as the condition becomes

    \begin{equation}
    0 \geq \sum_{i=1}^{N}u_{i}^{2} \leq R
    \end{equation}

    this is it however since the general theory is not explained. I have never felt so lost before...if anyone could point me to a good resource(I have yet to find any example or explanation online) or could give me a push in the right direction, it would be appreciated.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Apr 20, 2009 #2
    Bah, my TeX is apparently incompatible, sorry.
     
  4. Apr 20, 2009 #3

    nicksauce

    User Avatar
    Science Advisor
    Homework Helper

    Instead of begin equation use
    [ tex] and [ /tex] to open and close your tex environment (without the spaces).
     
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