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Theorem that says partial and ordinary derivatives are mixed?

  1. Sep 26, 2009 #1
    F(q_1,...,q_n,t)

    [tex]
    \frac{d}{dt}\frac{\partial}{\partial \dot{q}} \frac{dF}{dt} = \frac{\partial}{\partial q} \frac{dF}{dt}
    [/tex]

    what's the theorem that says partial and ordinary derivatives are mixed?
     
  2. jcsd
  3. Sep 27, 2009 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Re: Theorem

    That's, not, strictly speaking, a mathematics question. The equation you have is a specific physics or fluid dynamics formalism. It's not a matter of a "theorem", it is a matter of notation. And, again, it is physics notation, not mathematics.
     
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