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  1. R

    Point Within The Triangle

    http://www.blackpawn.com/texts/pointinpoly/default.html This website provides 2 simple methods to do so. You just have to use cross product for the 1st case. Hope it can help you.
  2. R

    Prove e^(A+B)=e^A*e^B*e^-k/2 if [A,B]=k

    @Cruikshank I used your approach, that is power series expansion, and proved the statement. Please refer to this question: http://www.voofie.com/content/102/how-to-prove-eab-e-lambda2-ea-eb/" [Broken] and this article is my prove...
  3. R

    Attractive potential

    Just the gradient of the potential matters Please refer to the below formula: \vec{F} = - \nabla V Therefore we are just interested in the negative gradient of the potential, not it's sign.
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