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Partial Derivative notation

  1. Feb 7, 2009 #1
    What does the notation [tex]\partial[/tex] [tex]\beta[/tex]D[tex]\alpha[/tex]
    mean? I came across it in General Relativity, so I think it's the set of all partial derivatives of the vector function, i.e.
    [tex]\partial[/tex]0D1, [tex]\partial[/tex]0D[tex]2[/tex]

    and so on... but I'm not entirely sure.
     
  2. jcsd
  3. Feb 7, 2009 #2

    cristo

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    If you mean [itex]\partial_{\beta}D^{\alpha}[/itex], then it is short hand for [tex]\frac{\partial D^{\alpha}}{\partial x^{\beta}}[/tex]
     
  4. Feb 7, 2009 #3
    Depending on the context, it can also mean boundary. What is the context?
     
  5. Feb 8, 2009 #4

    HallsofIvy

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    Since Reedeegi said it was from General Relativity I suspect the context is as cristo assumed and it is the "outer derivative" of the vector- the tensor represented by array in which the "[itex]\alpha\beta[/itex]" component is the derivative of the [itex]\alpha[/itiex] component of D with respect to [itex]x^\beta[/itex]- which is, of course, just what cristo said.
     
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