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I Kronecker Delta and Gradient Operator

  1. Jan 8, 2017 #1
    I am looking at an explanation of the gradient operator acting on a scalar function ## \phi ##. This is what is written:
    H5da2LH.png

    In the steps 1.112 and 1.113 it is written that ## \frac {\partial x'_k} {\partial x'_i} ## is equivalent to the Kronecker delta. It makes sense to me that if i=k, then the expression is equal to 1 but why would it be 0 if they are not equal? Perhaps I'm not looking at it the right way but any explanation would be appreciated.

    Thanks.
     
  2. jcsd
  3. Jan 8, 2017 #2

    ShayanJ

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    Gold Member

    Just think about Cartesian coordinates. What is ## \frac{\partial x}{\partial y} ## equal to?
     
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