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Compact Notation of RxN Mechanism

  1. Aug 27, 2010 #1
    Hello all!

    I am reading through a combustion text and I am a little flustered by this notation:

    Doc-8_27_109_17PM-page-1.jpg

    Am I correct in saying that the "coefficient matrices" {[itex]{\nu'_{ji}}[/itex]} and {[itex]{\nu''_{ji}}[/itex]} are not really "proper" matrices in the sense that there is not a vector that can multiply them that will result in the system of equations given by 4.29? Or is there? And I am just too tired to figure this out?

    Also, the fact that the ij indices are reversed from normal convention (i.e., i = row index and j=column index) is really driving me batty!
     
  2. jcsd
  3. Aug 27, 2010 #2
    Hmmm ... maybe I am Wrong here and I AM just tired:

    I guess if we multiply [itex]\nu'_{ji}[/itex] by the column vector
    [tex]
    \left( \begin{array}{c}
    X_1\\X_2\\X_3\\X_4\\X_5\\X_6\\X_8
    \end{array}\right)
    [/tex]

    The index thing is still bothering me. Usually when we see Amn we have a matrix in which there are 'm' rows and 'n' columns ...
     
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